OKLAHOMA ACADEMIC STANDARDS MIDDLE SCHOOL MATH …cdn.carnegielearning.com/assets/page-images/Carnegie_Learning__I… · Page 2 of 29 Cluster Standard Description Course Module Topic

CLGrade6AlignmenttoOAS

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Cluster Standard Description Course Module Topic Lesson (ModuleNumberfollowedbypagenumber)

Module Unit Workspace

6.N.1.1

Represent integers with counters and on a number line and rational numbers on a number line, recognizing the concepts of opposites, direction, and magnitude; use integers and rational numbers in real-world and mathematical situations, explaining the meaning of zero in each situation

Course 14: Moving Beyond Signed Numbers

1: Signed Numbers1: Human Number Line (M4-7)2: Magnificent Magnitude (M4-23)3: What's In a Name (M4-35)

5: Negative Numbers and the Four Quadrants

1: Integers1: Introduction to Negative Numbers2: Representing Integers on Number Lines

1: Composing and Decomposing

2: Positive Rational Numbers

1: Thinking Rationally (M1-71)

4: Moving Beyond Positive Quantities

1: Signed Numbers1: Human Number Line (M4-7)2: Magnificent Magnitude (M4-23)3: What's In a Name (M4-35)

6.N.1.3Explain that a percent represents "parts out of 100" and ratios "to 100"

Course 1 2: Relating Quantities 2: Percents

1: We Are Family! (M2-109)2: Warming the Bench (M2-123)3: The Forest for the Trees (M2-137)

2: Ratios, Rates, and Percents

3: Introduction to Percent

1: Percent Models

6.N.1.4

Determine Equivalencies among fractions, decimals, and percent. Select among these representations to solve problems.

Course 1 2: Relating Quantities 2: Percents1: We Are Family! (M2-109)2: Warming the Bench (M2-137)



2: Fraction, Decimal, Percent Comparisons

6.N.1.5

Factor whole numbers and express prime and composite numbers as a product of prime factors with exponents

Course 11: Composing and Decomposing

1: Factors and Area

4: Searching for Common Ground (M1-39)5: Composing and Decomposing Numbers (M1-51)

Equivalent Fractions1: Writing Equivalent Fractions using Part-To-Whole Models

Fraction Addition and Subtraction

2: Using the Solver with Unlike Denominators

Mixed Number Addition and Subtraction

2: Adding and Subtracting with Unlike Denominators

3: Numeric and Algebraic Expressions

1: Number Properties

4: Exploring the Distributive Property with Numeric Expressions5: Using the Distributive Property with Numeric Expressions

6.N.2.1

Estimate solutions to addition and subtraction of integers problems in order to assess the reasonableness of results

Course 2See supplemental materials on Carnegie

Learning's microsite at: http://www.carnegielearning.com/OKgra

de6

2: Operating with Signed Numbers

1: Adding and Subtracting Rational Numbers

1: Math Football (M2-7)4: What's the Difference (M2-49)

6.N.2.2Illustrate addition and subtraction of integers using a variety of representations



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1: Math Football (M2-7)2: Walk the Line (M2-17)3: Two Color Counters (M2-31)4: What's the Difference (M2-49)5: All Mixed Up (M2-69)

3: Rational Number Operations

1: Integer Operations

1: Adding and Subtracting Negative Integers2: Using Number Lines to Add and Subtract Integers

6.N.2.3

Add and Subtract integers; use efficient and generalizable procedures including but not limited to standard algorithms



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1: Math Football (M2-7)2: Walk the Line (M2-17)3: Two Color Counters (M2-31)4: What's the Difference (M2-49)5: All Mixed Up (M2-69)



1: Adding and Subtracting Negative Integers2: Using Number Lines to Add and Subtract Integers

MATHia

4: Searching for Common Ground (M1-39)5: Composing and Decomposing Numbers (M1-51)

6th Grade RTI

MIDDLE SCHOOL MATH SOLUTION TEXTBOOKOKLAHOMA ACADEMIC STANDARDS

Course 1

Determine the greatest common factors and least common multiples. Use Common factors and multiples to calculate with fractions, find equivalent fractions, and express the sum of two-digit numbers with a common factor using the distributive property

6.N.2Addandsubtractintegersinordertosolvereal-worldandmathematicalproblems

6.N.1.6

6.N.1Read,write,andrepresentintegersandrationalnumbersexpressedasfractions,decimals,percents,andratios;writepositiveintegersasproductsoffactors;usetheserepresentationsinreal-worldandmathematicalsituations

1: Factors and Area1: Composing and Decomposing

Compare and order positive rational numbers, represented in various forms, or integers using the symbols <, >, and =

Course 16.N.1.2


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MATHiaMIDDLE SCHOOL MATH SOLUTION TEXTBOOKOKLAHOMA ACADEMIC STANDARDS

6.N.3.1

Identify and use ratios to compare quantities. Recognize that multiplicative comparison and additive comparison are different

Course 1 2: Relating Quantities 1: Ratios1: It's All Relative (M2-7)2: Going Strong (M2-25)6: One is Not Enough (M2-85)


1: Ratio and Rate Reasoning

1: Understanding Ratio Relationships

6.N.3.2 Determine the unit rate for ratios Course 1 2: Relating Quantities3: Unit Rates and Conversions

2: What is the Best Buy? (M2-185)3: Seeing Things Differently (M2-199)



4: Fractional Rates5: Comparing Rates

6.N.3.3

Apply the relationship between ratios, equivalent fractions and percents to solve problems in various contexts, including those involving mixture and concentrations

Course 1 2: Relating Quantities 2: Percents

1: We Are Family (M2-109)2: Warming the Bench (M2-123)3: The Forest for the Trees (M2-137)



3: Determining a Part Given a Percent and a Whole4: Determining a Whole Given a Percent and a Part

1: Ratios

3: Oh, Yes, I Am the Muffin Man (M2-37)4: A Trip to the Moon (M2-57)5: They're Growing (M2-69)


2: Equivalent Ratios3: Multiple Representations of Ratios


2: Did you Get the Part? (M1-83)

3: Decimals and Volume

1: Length, Width, and Depth (M1-115)2: Which Warehouse (M1-131)3: Breaking the Fourth Wall (M1-143)4: Dividend in the House (M1-165)


2: Did you Get the Part? (M1-83)3: Yours is to Reason Why! (M1-93) 1: Fraction Division

1: Representing Fraction Division2: Interpreting Remainders with Models 3: Developing the Fraction Division Algorithm


1: Length, Width, and Depth (M1-115)2: Which Warehouse? (M1-131)3: Breaking the Fourth Wall (M1-143)4: Dividend in the House (M1-165)

2: Decimal Operations4: Exploring Decimal Facts5: Multiplying and Dividing Decimals


2: Did you Get the Part? (M1-83)3: Yours is to Reason Why! (M1-93) 1: Fraction Division

4: Multiplying and Dividing Rational Numbers



2: Decimal Operations6: Decimal Products and Quotients


2: Did You Get the Part? (M1-83)3: Yours is to Reason Why! (M1-93)

1: Fraction Division2: Interpreting Remainders Using Models

Solve and interpret real-world and mathematical problems including those involving money, measurement, geometry and data requiring arithmetic with decimals, fractions, and mixed numbers

Course 1


1: Problem Solving with Equivalent Ratios and Rates Using Ratio Tables



1: Fraction and Decimal Operations


2: Problem Solving using Ratio and Rate

3: Unit Rates and Conversions

1: Many Ways to Measure (M2-165)2: Introduction to Unit Rates (M2-



6.N.3Understandtheconceptofratioanditsrelationshiptofractionsandpercentsandtothemultiplicationanddivisionofwholenumbers.Useratiostosolvereal-worldandmathematicalproblems

6.N.4.1

6.N.4.4

Use multiplicative reasoning and representations to solve ratio and unit rate problems

Estimate solutions to problems with whole numbers, decimals, fractions, and mixed numbers. Use the estimates to assess the reasonableness of results in the context of the problem.

Course 1

6.N.3.4

Course 1

Course 1

6.N.4Multiplyanddividedecimals,fractions,andmixednumbers;solvereal-worldandmathematicalproblemswithrationalnumbers

Illustrate multiplication and division of fractions and decimals to show connections to fractions, whole number multiplication, and inverse relationships

2: Relating Quantities

Course 1

6.N.4.3Multiply and divide fractions and decimals using efficient and generalizable procedures

6.N.4.2



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2: Decimal Operations 5: Multiplying and Dividing Decimals

1: Expressions 2: Into the Unknown (M3-23)4: One Step Equations and Inequalities

4: Problem Solving with One-Step Equations

3: Problem Solving with Decimals

2: Equations3: Play it in Reverse (M3-119)4: Getting Real (M3-135)

2: Area

2: Calculating Area of Various Figures3: Solving Area Problems 4: Calculating Area of Composite Figures

3: Graphing Quantitative Relationships

1: Every Graph Tells a Story (M3-155)3: Planes, Trains, and Paychecks (M3-193)4: Triathlon Training (M3-207)

3: Volume and Surface Area

1: Calculating Volume of Right Prisms 2: Using Volume of Right Prisms 3: Calculating Surface Area of Right Prisms

4: Moving Beyond the Four Quadrants

2: The Four Quadrants2: It's a Bird, It's a Plane… It's a Polygon on the Plane (M4-57)3: There are Many Paths (M4-87)

1: Measures of Central Tendency

1: Calculating Mean, Median, and Mode3: Measuring the Effects of Changing Data Sets

5: Describing Variability of Quantities

2: Numerical Summaries of Data

2: Box It Up (M5-87)3: March MADness (M5-105)

3: Mean Absolute Deviation

1: Calculating Mean Absolute Deviation

6.A.1.1

Plot integer and rational-valued ordered-pairs as coordinates in all four quadrants and recognize the reflective relationships among coordinates that differ only by their signs

Course 14: Moving Beyond the Four Quadrants

2: The Four Quadrants

1: Four is Better Than One (M4-57)2: It's a Bird, It's a Plane...It's a Polygon on the Plane (M4-73)3: There are Many Paths (M4-87)

5: Negative Numbers and the Four Quadrants

2: The Coordinate Plane

1: Exploring Symmetry on the Coordinate Plane2: Identifying and Interpreting Ordered Pairs3: Plotting Points

3: Determining Unknown Quantities


1: Every Graph Tells a Story (M3-155)2: The Power of a Horizontal Line (M3-183)3: Planes, Trains, and Paychecks (M3-193)4: Triathlon Training (M3-207)

4: One Step Equations and Inequalities


1: Patterns and One-Step Equations 2: Problem Solving Using Multiple Representations in the First Quadrant3: Problem Solving with Decimals


2: The Four Quadrants 3: There are Multiple Paths (M4-87)5: Negative Numbers and the Four Quadrants

3: Multiple Representations

1: Solving One-Step Equations using Multiple Representations in Four Quadrants

1: Expressions

2: Into the Unknown (M3-23)3: Are They Saying the Same Thing? (M3-53)5: DVDs and Songs (M3-67)


2: Algebraic Expressions

1: Evaluating Multi-step Expressions2: Evaluating Expressions with Multiple Variables

2: Equations1: First Among Equals (M3-87)3: Play it in Reverse (M3-119)4: Getting Real (M3-135)


1: Factors and Area1: Taking Apart Numbers and Shapes (M1-7)

Solve and interpret real-world and mathematical problems including those involving money, measurement, geometry and data requiring arithmetic with decimals, fractions, and mixed numbers

Course 1

6.A.2.1

6.A.1.3

6.A.2Usepropertiesofarithmetictogenerateequivalentnumericalexpressionsandevaluateexpressionsinvolvingpositiveandnegativenumbers

6.A.1.2

6.A.1RecognizeandRepresentrelationshipsbetweenvaryingquantities;translatefromonerepresentationtoanother;usepatterns,tables,graphs,andrulestosolvereal-worldandmathematicalproblems

Generate equivalent expressions and evaluate expressions involving positive rational numbers by applying the commutative, associative, and distributive properties and order of operations to solve real-world and mathematical problems

Course 1



Course 13: Determining Unknown Quantities

Use and evaluate variables in expressions, equations, and inequalities that arise from various contexts, including determining when or if, for a given value of the variable, an equation or inequality is true or false

1: Expressions3: Determining Unknown Quantities

3: Graphing Quantitative

Relationships

1: Every Graph Tells a Story (M3-155)2: The Power of a Horizontal Line

1: Relationships Matter (M3-7)3: Second Verse, Same as the First (M3-35)4: Are they Saying the Same Thing? (M3-53)

Represent relationships between two varying quantities involving no more than two operations with rules, graphs, and tables; translate between any two of these representations

Course 1

6.N.4.4

6.N.4Multiplyanddividedecimals,fractions,andmixednumbers;solvereal-worldandmathematicalproblemswithrationalnumbers

7: Measures of Central Tendency and Data Displays

6: Geometric Measurement




1: Graphing Inequalities with Positive Rational Numbers

3: Solving One-Step Inequalities

1: Number Properties1: Commutative and Associative Properties2: Order of Operations

3: Using Substitution to Identify Solutions to Equations

2: Solving One-Step Equations


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3: Equivalent Algebraic Expressions

1: Modeling Equivalent Algebraic Expressions2: Exploring the Distributive Property with Algebraic Expressions3: Simplifying Algebraic Expressions (No Type In)4: Simplifying Algebraic Expressions (Type In)

1: Expressions

2: Into the Unknown (M3-23)3: Second Verse, Same as the First (M3-35)4: Are They Saying the Same Thing? (M3-53)5: DVDs and Songs (M3-67)

2: Equations

1: First Among Equals (M3-87)2: Bar None (M3-107)3: Play it in Reverse (M3-119)4: Getting Real (M3-135)


1: Every Graph Tells a Story (M3-155)2: The Power of a Horizontal Line (M3-183)3: Planes, Trains, and Paychecks (M3-193)4: Triathlon Training (M3-207)

4: Moving Beyond the Four Quadrants

2: The Four Quadrants 3: There are Many Paths (M4-87)

2: Equations2: Bar None (M3-107)3: Play it in Reverse (M3-119)4: Getting Real (M3-135)




1: Factors and Area2: All About that Base … and Height (M1-15)3: Slicing and Dicing (M1-29)


2: The Four Quadrants2: It's a Bird, It's a Plane… It's a Polygon on the Plane (M4-57)









Represent real-world or mathematical situations using expressions, equations, and inequalities involving variables and rational numbers

6.A.3.1

6.GM.1.1

6.GM.1.2

Develop and use formulas for the area of squares and parallelograms using a variety of methods including but not limited to the standard algorithm

Develop and use formulas for the area of triangles


Course 1

Course 1

6.GM.1.3

Find the area of right triangles, other triangles, special quadrilaterals, and polygons that can be decomposed into triangles and other shapes to solve real-

6.A.3.2

Use number sense and properties of operations and equality to solve real-world and mathematical problems involving equations in the form x + p = q and px=q where x, p, and q are nonnegative rational numbers. Graph the solution on a number line, interpret the solution in the original context, and assess the reasonableness of the solution

6.A.2.1

6.A.2Usepropertiesofarithmetictogenerateequivalentnumericalexpressionsandevaluateexpressionsinvolvingpositiveandnegativenumbers

Generate equivalent expressions and evaluate expressions involving positive rational numbers by applying the commutative, associative, and distributive properties and order of operations to solve real-world and mathematical problems

Course 1

6.A.3UseEquationsandinequalitiestorepresentreal-worldandmathematicalproblemsandusetheideaofmaintainingequalitytosolveequations.Interpretsolutionsintheoriginalcontext.

6.GM.1Calculateareasofsquares,parallelograms,andtrianglestosolvereal-worldandmathematicalproblems



2: The Power of a Horizontal Line (M3-183)3: Planes, Trains, and Paychecks (M3-193)4: Triathlon Training (M3-207)

Course 1

Course 1

Course 1

1: Expressions3: Determining Unknown Quantities



1: Relationships Matter (M3-7)3: Second Verse, Same as the First (M3-35)4: Are they Saying the Same Thing? (M3-53)



1: Solving One-Step Equations with a Balance

1: Using Picture Algebra with Addition, Subtraction, and Multiplication2: Using Picture Algebra with


1: Developing Area Formulas2: Calculating Area of Various Figures3: Solving Area Problems4: Calculating Area of Composite Figures


2: Area


2: Area

2: Area



1: Reasoning with Expressions and Equations

2: Solving One-Step Equations

1: Graphing Inequalities with Positive Rational Numbers

3: Solving One-Step Inequalities




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6.GM.2.1 Solve problems using the relationships between angles formed by intersecting lines



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5: Constructing and Measuring

1: Angles and Triangles 2: Special Delivery (M5-19) 5: Geometry 1: Angle Properties1: Calculating Angles2: Classifying Angles and Determining Unknown Measures

6.M.2.2

Develop and use the fact that the sum of the interior angles of a triangle is 180* to determine missing angle measures in a triangle



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1: Transforming Geometric Objects

3: Line and Angle Relationships

1: Pulling a One-Eighty (M1-167)

6.GM.3.1

Estimate weights, capacities and geometric measurements using benchmarks in customary and metric measurement systems with appropriate units

Course 1 2: Relating Quantities3: Unit Rates and Conversions

1: Many Ways to Measure (M2-165)

6.GM.3.2

Solve problems in various real-world and mathematical contexts that require the conversion of weights, capacities, geometric measurements, and time within the same measurement systems using appropriate units

Course 1 2: Relating Quantities3: Unit Rates and Conversions

1: Many Ways to Measure (M2-165)6: Geometric Measurement


1: Converting Within Systems

6.GM.4.1

Predict, describe, and apply translations, reflections, and rotations to a two-dimensional figure



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1: Rigid Motion Transformations

2: Slides, Flips, and Spins (M1-17)3: Lateral Moves (M1-39)4: Mirror, Mirror (M1-53)5: Half Turns and Quarter Turns (M1-67)6: Every Which Way (M1-83)

4: Geometric Transformations

1: Transformations of Figures on the Coordinate Plane

1: Translating Plane Figures2: Rotating Plane Figures3: Reflecting Plane Figures5: Performing One Transformation6: Performing Multiple Transformations

6.GM.4.2

Recognize that translations, reflections, and rotations preserve congruency and use them to show that two figures are congruent



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1: Patty Paper, Patty Paper (M1-7)2: Slides, Flips, and Spins (M1-17)3: Lateral Moves (M1-39)4: Mirror, Mirror (M1-53)5: Half Turns and Quarter Turns (M1-67)6: Combining Rigid Motions (M1-83)

6.GM.4.3

Use distances between two points that are either vertical or horizontal to each other to solve real-world and mathematical problems about congruent two-dimensional figures



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4: Expanding Number Systems

2: Pythagorean Theorum

3: Pythagoras Meets Descartes (M4-87)

6.GM.4.4Identify and describe line(s) of symmetry in two-dimensional shapes



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1: Slides, Flips, and Spins (M1-17)2: Mirror, Mirror (M1-53)

6.D.1.1Calculate mean, median, and mode for a set of real-world data

Course 15: Describing Variability of Quantities


1: In the Middle (M5-71)7: Measures of Central Tendency and Data Displays


1: Calculating Mean, Median, and Mode

6.D.1.2

Explain and justify which measure of central tendency would provide the most descriptive information for a given set of data



4: You Chose Wisely (M5-117)7: Measures of Central Tendency and Data Displays


2: Determining Appropriate Measure

See MATHia Glossary-Line(s) of Symmetry, Symmetry, and Reflections

6.GM.2Understandandusetherelationshipsbetweenanglesingeometricfigures

6.GM.3Chooseappropriateunitsofmeasurementanduseratiostoconvertwithinmeasurementsystemstosolvereal-worldandmathematicalproblems

6.D.1DisplayandAnalyzeData

6.GM.4Usetranslations,reflections,androtationstoestablishcongruencyandunderstandsymmetries


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6.D.1.3Create and analyze box and whisker plots observing how each segment contains one quarter of the data



2: Box It Up (M5-87)7: Measures of Central Tendency and Data Displays

4: Box Plots1: Constructing Box Plots2: Interpreting Box Plots

6.D.2.1 Represent possible outcomes using a probability continuum from impossible to certain



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4: Analyzing Populations and Probabilities

1: Introduction to Probability

1: Rolling, Rolling, Rolling … (M4-7)6: Data Comparisons and Probability


1: Determining Probabilities


1: Rolling, Rolling, Rolling … (M4-7)2: Give the Models a Chance (M4-23)3: Toss the Cup (M4-33)4: A Simulating Conversation (M4-47)

2: Compound Probability

1: Evens or Odds (M4-73)2: Three Girls and No Boys? (M4-89)3: Pet Shop Probabilities (M4-101)4: On a Hot Streak (M4-113)


3: Toss the Cup (M4-33)4: A Simulating Conversation(M4-47)

2: Compound Probability

1: Evens or Odds (M4-73)4: On a Hot Streak (M4-113)

Demonstrate simple experiments in which the probabilities are known and compare the resulting relative frequencies with the known probabilities, recognizing that there

6.D.2.3

6.D.2.2

6.D.2UseProbabilitytosolvereal-worldandmathematicalproblems;representprobabilitiesusingfractionsanddecimals

Determine the sample space for a given experiment and determine which members of the sample space are related to certain events. Sample space may be determined by use of tree diagrams, tables or pictorial representations




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6.D.1DisplayandAnalyzeData

2: Comparing Experimental and Theoretical Probabilities


6: Data Comparisons and Probability

1: Determining Probabilities3: Calculating Compound Probabilities




Page7of29

Cluster Standard Description Course Module TopicLesson

(ModuleNumberfollowedbyPageNumber)Module Unit Workspace

7.N.1.1

Know that every rational number can be written as the ratio of two integers or as a terminating or repeating decimal.

Course 22: Operating with Signed Numbers

2: Multiplying ands Dividing Rational Numbers

2: Be Rational (M2-103)

7.N.1.2Compare and order rational numbers expressed in various forms using the symbols >, <, or =


Learning's microsite at: http://www.carnegielearning.com/OKgrade7


1: Signed Numbers 1: Human Number Line (M4-7)5: Negative Numbers and the Four Quadrants

1: Integers2: Representing Integers on Number Lines

7.N.1.3Recognize and generate equivalent expressions of rational numbers, including equivalent fractions



1: Equal Groups (M2-89)2: Be Rational (M2-103)3: Building a Wright Brothers' Flyer (M2-113)4: Properties Schmoperties (M2-125)

7.N.2.1Estimate solutions to multiplication and division of integers in order to assess the reasonableness of results



1: Equal Groups (M2-89)2: Be Rational (M2-103)

7.N.2.2Illustrate multiplication and division of integers using a variety of representations



1: Equal Groups (M2-89)2: Be Rational (M2-103)4: Properties Schmoperties (M2-125)


1: Integer Operations 3: Multiplying and Dividing Integers


2: Walk The Line (M2-17)3: Two-Color Counters (M2-31)4: What's the Difference (M2-49)5: All Mixed Up (M2-69)


1: Equal Groups (M2-89)2: Be Rational! (M2-103)3: Building a Wright Brothers' Flyer (M2-113)4: Properties Schmoperties (M2-125)

7.N.2.4Raise integers to positive integer exponents




1: Expressions 1: Relationships Matter (M3-7)3: Rational Number Operations


4: Using Order of Operations to Simplify Numeric Expressions (No Type In)5: Using Order of Operations to Simplify Numeric Expressions (Type In)




1: Expressions 1: Relationships Matter (M3-7)



3: Building a Wright Brothers' Flyer (M2-113)4: Properties Schmoperties (M2-125)




MIDDLE SCHOOL MATH SOLUTION TEXTBOOK MATHia

Solve Real world and mathematical problems involving calculations with rational numbers and positive integer exponents


Course 2

OKLAHOMA ACADEMIC STANDARDS

7.N.1Read,write,represent,andcomparerationalnumbers,expressedasintegers,fractions,anddecimals



1: Adding and Subtracting Integers 2: Using Number Lines to Add and Subtract Integers3: Multiplying and Dividing Integers

7.N.2.5

7.N.2.3

7.N.2Calculatewithintegers,withandwithoutpositiveintegerexponents,tosolvereal-worldandmathematicalproblems;explaintherelationshipbetweenabsolutevalueofarationalnumberandthedistanceofthatnumberfromzero

Solve real-world and mathematical problems involving addition, subtraction, multiplication, and division of rational numbers; use efficient and generalizable procedures including but not limited to standard algorithms


Page8of29



MIDDLE SCHOOL MATH SOLUTION TEXTBOOK MATHiaOKLAHOMA ACADEMIC STANDARDS

7.N.2.6

Explain the relationship between absolute value of a rational number and the distances of that number from zero on a number line. Use the symbol for absolute value.




1: Signed Numbers 2: Magnificent Magnitude (M4-23)5: Negative Numbers and the Four Quadrants

1: Integers 3: Using Absolute Value

7.A.1.1

Describe that the relationship between two variables, x and y, is proportional if it can be expressed in the form y/x = k or y = kx; distinguish proportional relationships from other relationships, including inversely proportional relationships xy=k or y = k/x

Course 21: Thinking Proportionally

3: Proportionality

1: How Does Your Garden Grow (M1-91)2: Complying with Title IX (M1-109)4: Minding Your Ps and Qs (M1-139)

1: Proportional Relationships

3: Representing Proportional Relationships

1: Introduction to Direct Variation2: Writing Direct Variation Equations3: Converting between Proportions and Direct Variation Equations4: Modeling Direct Variation

7.A.1.2

Recognize the graph of a proportional relationship is a line through the origin and the coordinates (1,r) where both r and the slope are the unit rate (constant of proportionality, k)


3: Proportionality

1: How Does Your Garden Grow (M1-91)3: Fish-Inches (M1-127)4: Minding Your Ps and Qs (M1-139)


3: Representing Proportional Relationships

5: Determining Characteristics of Direct Variation Graphs

7.A.2.1

Represent proportional relationships with tables, verbal descriptions, symbols, and graphs; translate from one representation to another. Determine and compare the unit rate (constant of proportionality, slope, or rate of change) given any of these representations


3: Proportionality

1: How Does Your Garden Grow (M1-91)2: Complying with Title IX (M1-109)3: Fish-Inches (M1-127)4: Minding Your Ps and Qs (M1-139)


3: Representing Proportional Relationships by Equations

1: Introduction to Direct Variation2: Writing Direct Variation Equations3: Converting between Proportions and Direct Variation Equations4: Modeling Direct Variation5: Determining Characteristics of Direct Variation Graphs

2: Proportional Reasoning and Percents

1: Using Proportions to Solve Percent Problems2: Solving Percent Problems

3: Problem Solving with Percents using Proportional Relationships

1: Calculating Percent Change and Final Amounts2: Using Percents and Percent Change

5: Geometry 2: Scale Drawings1: Using Scale Drawings2: Using Scale Factor

1: Problem Solving using Ratio and Rate Reasoning

1: Problem Solving with Equivalent Ratios and Rates using Tables2: Problem Solving with Equivalent Ratios and Rates using Double Number Lines3: Problem Solving with Equivalent Ratios and Rates Using Graphs

2: Proportional Reasoning

1: Solving Proportions using Equivalent Ratios2: Solving Proportions using Means and Extremes

1: Circles and Ratios1: Pi: The Ultimate Ratio (M1-7)


2: Proportional Reasoning and Percents4: Proportional

Relationships

1: Making Punch (M1-51)2: Eggzactly (M1-59)3: Tagging Sharks (M1-69)

1: Markups and Markdowns (M1-161)2: Perks of Work (M1-177)3: No Taxation without Calculation (M1-197)4: More Ups and Downs (M1-209)5: Pound for Pound, Inch for Inch (M1-223)

Course 2


1: Thinking Proportionally

2: Fractional Rates

Course 21: Thinking

Proportionally

7.A.2Recognizeproportionalrelationshipsinreal-worldandmathematicalsituations;representtheseandotherrelationshipswithtables,verbaldescriptions,symbols,andgraphs;solveproblemsinvolvingproportionalrelationshipsandinterpretresultsintheoriginalcontext

7.N.2Calculatewithintegers,withandwithoutpositiveintegerexponents,tosolvereal-worldandmathematicalproblems;explaintherelationshipbetweenabsolutevalueofarationalnumberandthedistanceofthatnumberfromzero

7.A.2.2

Solve multi-step problems involving proportional relationships involving distance-time, percent increase or decrease, discounts, tips, unit pricing, similar figures, and other real-world and mathematical situations

7.A.2.3Use proportional reasoning to solve real-world and mathematical problems involving ratios

7.A.2.4

7.A.1Understandtheconceptofproportionalityinreal-worldandmathematicalsituations,anddistinguishbetweenproportionalandotherrelationships

Use proportional reasoning to assess the reasonableness of solutions


Page9of29




2: Fractional Rates

1: Making Punch (M1-51)2: Eggzactly (M1-59)3: Tagging Sharks (M1-69)

3: Proportionality

4: How Does Your Garden Grow? (M1-91) 5: Complying with Title IX (M1-109) 6: Fish-Inches (M1-127) 7: Minding Your Ps and Qs (M1-139)


1: Markups and Markdowns (M1-161) 2: Perks of Work (M1-177) 3: No Taxation without Calculation (M1-197) 4: More Ups and Downs (M1-209) 5: Pound for Pound, Inch for Inch (M1-223)

2: Picture Algebra1: Using Picture Algebra with Equations 2: Modeling Two-Step Equations

3: Solving Two-Step Equations

2: Solving with Multiplication (No Type In)3: Solving with Multiplication (Type In)4: Solving with Division (No Type In)5: Solving with Division (Type In)6: Solving Two-Step Equations




2: Equations1: First Among Equals (M3-87) 4: One-Step Equations

and Inequalities3: Solving One-Step Inequalities

1: Graphing Inequalities with positive Rational Numbers2: Solving One-Step Linear Inequalities

Course 23: Reasoning Algebraically

2: Two-Step Equations and Inequalities

4: Be Greater Than (M3-95)4: Two-Step Equations and Inequalities

2: Picture Algebra

1: Using Picture Algebra with Equations 2: Modeling Two-Step Equations 3. Solving with Multiplication (No Type In)4: Solving with Multiplication (Type In)5: Solving with Division (No Type In)6: Solving with Division (Type In)7: Solving Two-Step Equations "

2: Picture Algebra1: Using Picture Algebra with Equations 2: Modeling Two-Step Equations

3: Solving Two-Step Equations

2: Solving with Multiplication (No Type In)3: Solving with Multiplication (Type In)4: Solving with Division (No Type In)5: Solving with Division (Type In)6: Solving Two-Step Equations

3: Multiple Representations of Equations

1: Put It On the Plane (M3-125)2: Stretches, Stacks, and Structure (M3-139)3: Deep Flight I (M3-155)

4: Problem Solving with Two-Step Equations and Inequalities

1: Using Linear Equations and Inequalities2: Solving Problems with Integers 3: Solving Problems with Decimals and Fractions


1: Picture Algebra (M3-53)2: Expressions that Play Together (M3-65)3: Formally Yours (M3-77)

1: Picture Algebra (M3-53)2: Expressions that Play Together (M3-65)3: Formally Yours (M3-77)4: Be Greater Than (M3-95)

7.A.3RepresentandsolvelinearequationsandInequalities



Course 2

Course 21: Thinking

Proportionally


3: Reasoning Algebraically

Course 2


7.A.2Recognizeproportionalrelationshipsinreal-worldandmathematicalsituations;representtheseandotherrelationshipswithtables,verbaldescriptions,symbols,andgraphs;solveproblemsinvolvingproportionalrelationshipsandinterpretresultsintheoriginalcontext

Represent, write, solve, and graph problems leading to linear inequalities with one variable of the form x + p >q and x+p<q, where p and q are nonnegative rational numbers

Represent real-world or mathematical situations using equations and inequalities involving variables and rational numbers

7.A.2.4Use proportional reasoning to assess the reasonableness of solutions

Write and solve problems leading to linear equations with one variable in the form px+q=r and p(x+q) = r, where p, and q are non-negative rational numbers

7.A.3.1

7.A.3.3

7.A.3.2


Page10of29






3: Building a Wright Brothers' Flyer (M2-113)4: Properties Schmoperties (M2-125)




Course 1: See supplemental materials on Carnegie Learning's microsite at:

http://www.carnegielearning.com/OKgrade7


1: Expressions

1: Relationships Matter (M3-7)2: Into the Unknown (M3-23)3: Second Verse, Same as the First (M3-35)4: Are They Saying the Same Thing? (M3-53)


1: Variable Expressions

1: Factoring Linear Expressions2: Using Order of Operations to Simplify Algebraic Expressions (No Type In)3: Using Order of Operations to Simplify Algebraic Expressions (Type In)

Course 1: See supplemental materials on Carnegie Learning's microsite at: http://www.carnegielearning.com/OKgrade7


1: Expressions 1: Relationships Matter (M3-7)3: Rational Number Operations



Course 23: Reasoning Algebraically

1: Algebraic Expressions

1: No Substitute for Hard Work - (M3-7)2: Mathematics Gymnastics - (M3-19)3: All My Xs - (M3-33)







3: Decimals and Volume1: Length, Width, and Depth (M1-115)



1: Calculating Volume of Right Prisms




1: Factors and Area2: All About that Base … and Height (M1-15)


2: Area1: Developing Area Formulas2: Calculating Area of Various Figures

1: Circles and Ratio2: That's a Spicy Pizza (M1-19)3: Circular Reasoning (M1-33)

3: Circles1: Calculating Circumference and Area of Circles


2: Similarity

1: Pinch-Zoom Geometry (M1-109)2: Rising, Running, Stepping, Scaling (M1-125)3: From Here to There (M1-141)


1: Transformations on the Coordinate Plane

4: Dilating Plane Figures



5: Pound for Pound, Inch for Inch (M1-223)

5: Geometry 2: Scale Drawings1: Using Scale Drawings2: Using Scale Factor

7.GM.4.3

Graph and describe translations and reflections of figures on a coordinate plane and determine the coordinates of the vertices of the figure after the transformation





3: Lateral Moves (M1-39)4: Mirror Mirror (M1-53)


1: Transformations on the Coordinate Plane

1: Translating Plane Figures3: Reflecting Plane Figures 5: Performing One Transformation

2: Area4: Calculating Area of Composite Figures

1: Factors and Area6: Geometric Measurement

3: Slicing and Dicing (M1-51)Find the Area and perimeter of composite figures to solve real-world and mathematical problems

Describe the properties of similarity, compare geometric figures for similarity, and determine scale factors resulting from dilations





7.A.4Useorderofoperationsandpropertiesofoperationstogenerateequivalentnumericalandalgebraicexpressionscontainingrationalnumbersandgroupingsymbols;evaluatesuchexpressions


Using a variety of tools and strategies, develop the concept that volume of a rectangular prism with rational-valued edge lengths can be found by counting the total number of same-sized units cubes that fill a shape without gaps or overlap. Use appropriate measurements such as cm^3

7.GM.1.2

7.GM.4.1

7.GM.1DevelopandUnderstandtheconceptofsurfaceareaandvolumeofrectangularprisms

7.GM.2Determinetheareaoftrapezoidsandareaandperimeterofcompositefigures

7.GM.4Analyzetheeffectsofdilations,translations,andreflectionsontheattributesoftwo-dimensionalfiguresonandoffthecoordinateplane

7.GM.3Usereasoningwithproportionsandratiostodeterminemeasurementsjustifyformulas,andsolvereal-worldand

7.GM.2.2

7.A.4.1

7.A.4.2

Use Properties of operations (limited to associative, commutative, and distributive) to generate equivalent numerical and algebraic expressions containing rational numbers, grouping symbols and whole number exponents

Apply understanding of order of operations and grouping symbols when using calculators and other technologies


Page11of29




7.D.1.1

Design simple experiments, collect data and calculate measures of central tendency and spread (range). Use these quantities to draw conclusions about the data collected and make predictions





1: In the Middle (M5-71)2: Box it Up (M5-87)



1: Calculating Mean, Median, Mode, and Range

7.D.1.2

Use Reasoning with proportions to display and interpret data in circle graphs and histogram. Choose the appropriate data display and know how to create the display using a spreadsheet or other graphing technology




1: The Statistical Process1: What's Your Question (M5-7)3: Using Histograms to Display Data (M5-47)


2: Displays of Numerical Data

3: Creating and Interpreting Histograms


1: Rolling, Rolling, Rolling … (M4-7)2: Give Models a Chance (M4-23)3: Toss the Cup (M4-33)4: A Simulating Conversation (M4-47)

2: Compound Probability1: Evens or Odds (M4-73)2: Three Girls and No Boys (M4-89)


1: Rolling, Rolling, Rolling … (M4-7)2: Give Models a Chance (M4-23)3: Toss the Cup (M4-33)4: A Simulating Conversation (M4-47)

2: Compound Probability1: Evens or Odds (M4-73)2: Three Girls and No Boys (M4-89)


3: Toss the Cup (M4-33)

2: Compound Probability 1: Evens or Odds (M4-73)


7.D.2Calculateprobabiltiesandreasonabout

probabilitiesusingproportionstosolve

real-worldandmathematicalproblems


Course 24: Analyzing Populations and Probabilities






1: Determining Probabilities7.D.2.3

7.D.2.2

Course 2Use proportional reasoning to draw conclusions about and predict relative frequencies based on


Calculate the probability as a fraction of a sample space or as a fraction of area. Express Probabilities as percents, decimals, or fractions

Determine the probability of an event using the ratio between the size of the event and the size of the sample space; represent probabilities as percents, fractions, and decimals between 0 and 1


Course 2


7.GM.4Analyzetheeffectsofdilations,translations,andreflectionsontheattributesoftwo-dimensionalfiguresonandoffthecoordinateplane

7.D.1Displayandanalyzedatainavarietyofways

7.D.2.1

CLPre-AlgebraAlignmenttoOAS

Page12of29



PA.N.1.1

Develop and apply the properties of integer exponents, including a^0 = 1, to generate equivalent numerical and algebraic expressions

Course 3 5: Applying Powers1: Exponents and Scientific Notation

1: It's a Generational Thing (M5-7)2: Show What You Know (M5-29)

7: Exponents1: Properties of Whole Number Exponents

1: Using the Product Rule and the Quotient Rule2: Using the Power to a Power Rule3: Using the Product to a Power Rule and the Quotient to a Power Rule4: Using Properties of Exponents with Whole Number Powers5: Simplifying Expressions with Negative and Zero Exponents

PA.N.1.2

Express and compare approximations of very large and very small numbers using scientific notation


3: The Big and Small of It (M5-43) 7: Exponents 2: Scientific Notation1: Using Scientific Notation2: Comparing Numbers using Scientific Notation

PA.N.1.3

Multiply and divide numbers expressed in scientific notation, express the answer in scientific notation


4: How Much Larger (M5-61)

PA.N.1.4

Classify Real Numbers as rational or irrational. Explain why the rational number system is closed under addition and multiplication and why the irrational system is not. Explain why the sum of a rational and an irrational number is irrational; and the product of a non-zero rational number and an irrational number is irrational.

Course 34: Expanding Number Systems

1: The Real Number System

2: Rational Decisions (M4-17)3: What Are Those? (M4-31)

3: Right Triangles1: Rational and Irrational Numbers

1: Introduction to Irrational Numbers

PA.N.1.5

Compare real numbers; locate real numbers on a number line. Identify the square root of a perfect square to 4000 or, if it is not a perfect square root, locate it as an irrational number between two consecutive positive integers.


1: The Real Number System

1: So Many Numbers, So Little Time (M4-7)3: What are Those?! (M4-31)

3: Right Triangles1: Rational and Irrational Numbers

2: Graphing Real Numbers on a Number Line3: Ordering Rational and Irrational Numbers



de8



1: Every Graph Tells a Story (M3-155)

Course 32: Developing Function Foundations

3: Introduction to Functions

3: One or More Xs to One Y (M2-205)

2: Linear Functions1: Relations and Functions

1: Exploring Functions

2: Linear Models

1: Graphing Given an Integer Slope and Y-Intercept2: Graphing Given a Decimal Slope and Y-Intercept3: Modeling Linear Equations in Standard Form

3: Graphs of Linear Equations in Two-Variables

1: Graphing Linear Equations Using a Given Method2: Graphing Linear Equations using a Chosen Method

4: Writing Equations of a Line

1: Modeling Given Slope and a Point3: Modeling Given Two Points4: Modeling Given an Initial Point5: Modeling Linear Functions using Multiple Representations


Recognize that a function is a relationship between an independent variable and a dependent variable in which the value of the independent variable determines the value of the dependent variable

MIDDLE SCHOOL MATH SOLUTION TEXTBOOK

PA.N.1Read,write,compare,classify,andrepresentrealnumbersandusethemtosolveproblemsinvariouscontexts.

PA.A.1Understandtheconceptoffunctioninreal-worldandmathematicalsituations,anddistinguishbetweenlinearandnonlinearfunctions

PA.A.1.1

PA.A.1.2Use Linear Functions to represent and explain real-world and mathematical situations

Course 3

MATHia

2: Developing Function Foundations

2: Linear Functions3: Introduction to Functions

4: Over the River and Through the Woods (M2-223)5: Comparing Apples to Oranges (M2-241)


Page13of29



OKLAHOMA ACADEMIC STANDARDS MIDDLE SCHOOL MATH SOLUTION TEXTBOOK MATHia

PA.A.1.3Identify a function as linear if it can be expressed in the form y=mx+b or if its graph is a straight line



4: Over the River and Through the Woods (M2-223)

PA.A.2.1

Represent linear functions with tables, verbal descriptions, symbols, and graphs; translate from one representation to another




2: Linear Functions4: Writing Equations of a Line

5: Modeling Linear Functions using Multiple Representations

2: Linear Models

1: Graphing Given an Integer Slope and Y-Intercept2: Graphing Given a Decimal Slope and Y-Intercept3: Modeling Linear Equations in Standard Form

3: Graphs of Linear Equations in Two-Variables

1: Graphing Linear Equations Using a Given Method2: Graphing Linear Equations using a Chosen Method



4: Writing Equations of a Line

1: Modeling Given Slope and a Point3: Modeling Given Two Points4: Modeling Given an Initial Point5: Modeling Linear Functions using Multiple Representations


3: Representing Proportional Relationships by Equations

5: Determining Characteristics of Direct Variation Graphs


2: The Coordinate Plane and Two-Step Equations

1: Graphs of Equations

1: From Proportions to Linear Relationships

1: Post-Secondary Proportions (M2-7)2: Jack and Jill Went Up the Hill (M2-23)3: Slippery Slopes (M2-43)

2: Linear Relationships 2: At the Arcade (M2-93)4: Derby Day (M2-119)

1: Proportions to Linear Relationships

2: Jack and Jill Went Up the Hill (M2-23)3: Slippery Slope (M2-43)4: Up, Down, and All Around (M2-53)

2: Linear Relationships 4: Derby Day (M2-119)


4: Modeling Given an Initial Point5: Modeling Linear Functions Using Multiple Representations

1: Linear Equations 2: Linear Models and the Distributive Property

1: Modeling with Integer Rates of Change2: Modeling with Fractional Rates of Change 3: Modeling using the Distributive Property over Division

PA.A.3.1Use substitution to simplify and evaluate algebraic expressions



de8


1: Algebraic Expressions1: No Substitute for Hard Work (M3-7)

Solve problems involving linear functions and interpret the results in the original context


Course 3

Course 3

PA.A.2Recognizelinearfunctionsinreal-worldandmathematicalsituations;representlinearfunctionsandotherfunctionswithtables,verbaldescriptions,symbols,andgraphs;solveproblemsinvolvinglinearfunctionsandinterprettheresultintheoriginalcontext

PA.A.1Understandtheconceptoffunctioninreal-worldandmathematicalsituations,anddistinguishbetweenlinearandnonlinearfunctions

Identify, describe and analyze linear relationships between two variables

PA.A.3Generateequivalentnumericalandalgebraicexpressionsandusealgebraicpropertiestoevaluateexpressions

PA.A.2.2

PA.A.2.5

PA.A.2.3

PA.A.2.4




1: How Does Your Garden Grow? (M1-91)3: Fish-Inches (M1-137)

3: Proportionality


4: Identifying Key Characteristics from Graphs

1: U.S. Shirts (M2-81)2: At the Arcade (M2-93)3: Dining, Dancing, Driving (M2-109)4: Derby Day (M2-119)5: What's the Point (M2-135)6: The Arts Are Alive (M2-151)

2: Linear Relationships

Predict the effect on the graph of a linear function when the slope or y-intercept changes. Use appropriate tools to examine these effects.

Course 3

2: Linear Functions

Course 3



de8

Identify the graphical properties of linear functions, including slope and intercepts. Know that the slope equals the rate of change, and the y intercept is zero when the function represents a proportional relationship

3: Dining, Dancing, Driving (M2-109)4: Derby Day (M2-119)6: The Arts Are Alive (M2-151)




Page14of29




PA.A.3.2

Justify steps in generating equivalent expressions by identifying the properties used, including the properties of operations (associative, commutative, and distributive laws) and the order of operations including grouping symbols



de8


1: Algebraic Expressions2: Mathematics Gymnastics (M3-19)3: All My Xs (M3-33


1: Variable Expressions

1: Factoring Linear Expressions2: Using Order of Operations to Simplify Algebraic Expressions (No Type In)3: Using Order of Operations to Simplify Algebraic Expressions (Type In)

1: Linear Equations 1: Solving Linear Equations

1: Exploring Two-Step Equations 2: Solving Multi-Step Equations

6: Systems of Linear Equations

1: Linear Equations with Variables on Both Sides

1: Solving with Integers (No Type In)2: Solving with Integers (Type In)3: Solving Equations with One Solution, Infinite, and No Solutions4: Sorting Equations by Number of Solutions

PA.A.4.2

Represent, write, solve, and graph problems leading to linear inequalities with one variable in the form px+q > r and px+q<r, where p, q, and r are rational numbers



de8



4: Be Greater Than (M3-95)4: Two-Step Equations and Inequalities

4: Solving Two-Step Inequalities

1: Graphing Inequalities with Rational Numbers2: Solving Two-Step Linear Inequalities



de8



4: Be Greater Than (M3-95)

1: Linear Equations 2: Linear Models and the Distributive Property

1: Modeling with Integer Rates of Change2: Modeling with Fractional Rates of Change 3: Modeling using the Distributive Property over Division


4: Modeling Given an Initial Point5: Modeling Linear Functions Using Multiple Representations

PA.GM.1.1

Informally justify the Pythagorean Theorem using measurements, diagrams, or dynamic software and use the Pythagorean Theorem to solve problems in two and three dimensions involving right triangles


2: Pythagorean Theorem

1: Right Triangle Connection (M4-55)2: Can That Be Right? (M4-75)3: Pythagoras Meets Descartes (M4-87)4: Catty Corner (M4-99)

3: Right Triangles2: The Pythagorean Theorem

1: Exploring the Pythagorean Theorem2: Applying the Pythagorean Theorem3: Problem Solving Using the Pythagorean Theorem

PA.GM.1.2Use the Pythagorean Theorem to find the distance between any two points in a coordinate plane


2: Pythagorean Theorem

3: Pythagoras Meets Descartes (M4-87)

3: Right Triangles2: The Pythagorean Theorem

4: Calculating Distances on the Coordinate Plane

PA.GM.2.1

Calculate the surface area of a rectangular prism using decomposition or nets. Use appropriate measurement.



de8


3: Decimals and Volume3: Breaking the Fourth Wall (M1-143)



3: Calculating Surface Area of Right Prisms

PA.GM.2.2

Calculate the surface area of a cylinder, in terms of Pi and using approximations for Pi, using decomposition or nets. Use appropriate units

Course 3 5: Applying Powers2: Volume of Curved

Figures

1: Drum Roll, Please! (M5-85) 4: Silos, Frozen Yogurt, and Popcorn (M5-123)

8: Volume 1: Volume1: Calculating Volume of Cylinders2: Using Volume of Cylinders

PA.A.4.3

PA.A.3Generateequivalentnumericalandalgebraicexpressionsandusealgebraicpropertiestoevaluateexpressions

PA.A.4Representreal-worldandmathematicalproblemsusingequationsandinequalitiesinvolvinglinearexpressions.Solveandgraphequationsandinequalitiessymbolicallyandgraphically.Interpretsolutionsintheoriginalcontext.

PA.GM.1SolveproblemsinvolvingrighttrianglesusingthePythagoreanTheorem

PA.GM.2CalculateSurfaceAreaandVolumeofthree-dimensionalfigures

Illustrate, write, and solve mathematical problems using linear equations with one variable with one solution, infinitely many solutions, or no solutions. Interpret the solutions in the original context

PA.A.4.1 Course 3

Course 3

Represent real-world situations using equations and inequalities in one variable

1: U.S. Shirts (M2-81)2: At the Arcade (M2-93)3: Dining, Dancing, Driving (M2-109)4: Derby Day (M2-119)5: What's the Point (M2-135)6: The Arts Are Alive (M2-151)



1: Strategic Solving (M3-7)2: MP3s and DVDs (M3-17)3: Tic-Tac-Bingo (M3-31)

1: Solving Linear Equations

3: Modeling Linear Equations


Page15of29




PA.GM.2.3

Develop and use the formulas v = lwh and v - Bh to determine the volume of rectangular prisms. Justify why the base and height are multiplied to find the volume of a rectangular prism. Use appropriate units .



de8


3: Decimals and Volume3: Breaking the Fourth Wall (M1-143)



3: Calculating Surface Area of Right Prisms

PA.GM.2.4

Develop and use the formulas v=Pir^2 and V=Bh to determine the volume of right cylinders, in terms of Pi and using approximations for Pi. Justify why base area and height are multiplied to find the volume of a right cylinder. Use appropriate measurements.

Course 3 5: Applying Powers2: Volume of Curved Figures

1: Drum Roll, Please! (M5-85)4: Silos, Frozen Yogurt, and Popcorn (M5-123)

8: Volume 1: Volume1: Calculating Volume of Cylinders2: Using Volume of Cylinders

PA.D.1.1

Describe the impact that inserting or deleting a data point has on the mean and the median of a data set. Know how to create data displays using a spreadsheet and use a calculator to examine this impact.



de8



3: Determining the Effects of Changing Data Sets

PA.D.1.2Explain how outliers affect measures of central tendency

Algebra 1: See supplemental materials on Carnegie Learning's microsite at:

http://www.carnegielearning.com/OKgrade8

Algebra 18: Analyzing Data Sets

for One Variable8.3: You Are Too Far Away! (p. 479)

PA.D.1.3

Collect, display, and interpret data using scatterplots. Use the shape of the scatterplot to informally estimate a line of best fit, make statements about average rate of change, and make a prediction about values not in the original data set. Use appropriate titles, labels, and units.


4: Patterns in Bivariate Data

1: Pass the Squeeze (M2-267)2: Where Do you Buy Your Books? (M2-289)3: Mia is Growing Like a Weed (M2-305)4: The Stroop Test (M2-319)

9: Bivariate Data 1: Line of Best Fit1: Estimating Lines of Best Fit2: Using Lines of Best Fit

PA.D.2.1

Calculate experimental probabilities and represent them as percents, fractions, and decimals between 0 and 1 inclusive. Use experimental probabilities to make predictions when actual probabilities are unknown.



de8



3: Toss the Cup (M4-33)6: Data Comparisons and Probabilities


2: Comparing Experimental to Theoretical Probabilities

PA.D.2.2Determine how samples are chosen to draw conclusions about generating a sample to a population



de8


3: Drawing Inferences

1: We Want to Hear From You (M4-133)2: Tiles, Gumballs, and Pumpkins (M4-151)3: Spicy or Dark? (M4-169)4: Finding Your Spot to Live (M4-181)

PA.D.1Displayandinterpretdatainavarietyofways,includingscatterplotsandapproximatelineofbestfit.Uselineofbestfitandaveragerateofchangetomakepredictionsanddrawconclusionsaboutdata.

PA.GM.2CalculateSurfaceAreaandVolumeofthree-dimensionalfigures

CLAlgebraIAlignmenttoOAS

Page16of29

Cluster Standard Description Course Chapter Lesson (pagenumber)


5: Exponential Functions5.5 Radical! Because It's a Cliché! (337)

12: Polynomials and Quadratics12.6 Could it Be Groovy to Be a Square? (761)

Algebra II 9: Radical Functions 9.4 Keepin' It Real (693) 8: Radical Expressions1: Simplification and Operations with Radicals

1: Simplifying Radicals

A1.N.1.2

Add, subtract, multiply, and simplify square roots of monomial algebraic expressions and divide square roots of whole numbers, rationalizing the denominator when necessary.

Algebra II 9: Radical Functions 9.5 Time to Operate! (709) 8: Radical Expressions1: Simplification and Operations with Radicals

2: Adding and Subtracting Radicals3: Multiplying Radicals4: Dividing Radicals

2: Graphs, Equations & Inequalities2.1 The Plane! (73)2.2 What Goes Up Must Come Down (87)

3: Linear Functions3.1 Is it Getting Hot in Here? (163)3.2 Tickets for Sale (173)3.4 A Growing Business (195)

A1.A.1.2Solve absolute value equations and interpret the solutions in the original context.

Algebra I 2: Graphs, Equations & Inequalities 2.5 Play Ball! (123)

A1.A.1.3

Analyze and solve real-world and mathematical problems involving systems of linear equations with a maximum of two variables by graphing (may include graphing calculator or other appropriate technology), substitution, and elimination. Interpret the solutions in the original context.

Algebra I 6: Systems of Equations

6.1 Prepping for the Robot Challenge (367)6.2 There's Another Way? (383)6.3 What's for Lunch? (391)6.4 Which is the Best Method? (399)

2: Linear and Exponential Relationships

5: Systems of Linear Equations

1: Representing Systems of Linear Equations 2: Solving Linear Systems Using Combinations3: Solving Linear Systems Using Any Method

2: Graphs, Equations & Inequalities 2.3 Scouting for Prizes (101) 7: Systems of Linear Inequalities 7.1 The Play Offs (411)

A1.A.2.2

Represent relationships in various contexts with compound and absolute value inequalities and solve the resulting inequalities by graphing and interpreting the solutions on a number line.

Algebra I 2: Graphs, Equations & Inequalities2.4 We're Shipping Out (111)2.5 Play Ball! (123)

1: Relating Quantities and Reasoning with Equations

4: Absolute Value Equations

3: Reasoning About Absolute Value Inequalities

A1.A.2.3

Solve systems of linear inequalities with a maximum of two variables; graph and interpret the solutions on a coordinate plane.

Algebra I 7: Systems of Linear Inequalities

7.2 Working the System (419)7.3 Our Biggest Sale of the Season (431)7.4 Take it to the Max…or Min (439)


6: Linear Inequalities in Two Variables

2: Systems of Linear Inequalities

A1.A.3.1Solve equations involving several variables for one variable in terms of the others.

Algebra I 3: Linear Functions3.3 Cool as a Cucumber of Hot Like a Tamale (187)

4: Polynomial Operations

1: Introduction to Polynomial Arithmetic2: Adding Polynomials3: Subtracting Polynomials4: Using a Factor Table to Multiply Polynomials5: Multiplying Polynomials

5: Quadratic Expression Factoring

1: Using a Factor Table to Multiply Binomials2: Multiplying Binomials

A1.A.3Generateequivalentalgebraicexpressionsandusealgebraicpropertiestoevaluateexpressionsandarithmeticandgeometricsequences.

A1.N.1.1Write square roots and cube roots of monomial algebraic expressions in simplest radical form


A1.A.2Representandsolvereal-worldandmathematicalproblemsusinglinearinequalities,compoundinequalitiesandsystemsoflinearinequalities;interpretsolutionsintheoriginalcontext.


1: Relating Quantities and Reasoning with EquationsA1.A.1Representand

solvemathematicalandreal-worldproblemsusinglinearequations,absolutevalueequations,andsystemsofequations;interpretsolutionsintheoriginalcontext.

A1.N.1Extendtheunderstandingofnumberandoperationstoincludesquarerootsandcuberoots

12: Polynomials and Quadratics

MATHia

Algebra I

Use knowledge of solving equations with rational values to represent and solve mathematical and real-world problems (e.g., angle measures, geometric formulas, science, or statistics) and interpret

12.1 Controlling the Population (703)12.2 They're Multiplying - Like Polynomials (717)

4: Quadratics

CARNEGIE LEARNING TEXTBOOK

Algebra IRepresent relationships in various contexts with linear inequalities;

6: Linear Inequalities in Two Variables

4: Absolute Value Equations

1: Graphing Simple Absolute Value Equations using Number Lines2: Solving Absolute Value Equations

1: Graphing Linear Inequalities in Two Variables

Algebra ISimplify polynomial expressions by adding, subtracting, or multiplying.

Algebra I

A1.A.2.1

A1.A.1.1

A1.A.3.2


Page17of29



OKLAHOMA ACADEMIC STANDARDS MATHiaCARNEGIE LEARNING TEXTBOOK

A1.A.3.3

Factor common monomial factors from polynomial expressions and factor quadratic expressions with a leading coefficient of 1.

Algebra I 12: Polynomials and Quadratics

12.3 What Factored Into It?(731)12.4 Zeroing In (743)12.5 What Makes You So Special? (751)

4: Quadratics5: Quadratic Expression Factoring

3: Factoring Trinomials with Coefficients of One

A1.A.3.4

Evaluate linear, absolute value, rational, and radical expressions. Include applying a nonstandard operation such as ! ! = 2! + !.

Course 2 Module 3, Topic 1: Algebraic Expressions1.1 No Substitution for Hard Worked (M3-7)

A1.A.3.5

Recognize that arithmetic sequences are linear using equations, tables, graphs, and verbal descriptions. Use the pattern, find the next term

Algebra I 4: Sequences

4.1 Is There a Pattern Here? (213)4.2 The Password is Optional (223)4.3 The Power of Algebra is Curious (235)4.4 Graphs of Sequences (251)4.5 Well, Maybe it IS a Function! (275)


3: Sequences

1: Describing Patterns in Sequences2: Writing Recursive Formulas3: Writing Explicit Formulas4: Sequences and Functions

A1.A.3.6

Recognize that geometric sequences are exponential using equations, tables, graphs and verbal descriptions. Given the formula f(x) = a(r)^x, find the next term and define the meaning of a and r within the context of the problem.

Algebra I 4: Sequences

4.1 Is There a Pattern Here? (213)4.2 The Password is Optional (223)4.3 The Power of Algebra is Curious (235)4.4 Graphs of Sequences (251)4.5 Well, Maybe it IS a Function! (275)


3: Sequences

1: Describing Patterns in Sequences2: Writing Recursive Formulas3: Writing Explicit Formulas4: Sequences and Functions

A1.A.4.1

Calculate and interpret slope and the x- and y-intercepts of a line using a graph, an equation, two points, or a set of data points to solve real-world and mathematical problems.

Algebra I 2: Graphs, Equations & Inequalities2.1 The Plane! (73)2.2 What Goes Up Must Come Down (87)


2: Linear Equations

1: Modeling with Rates of Change2: Modeling Linear Equations Given Two Points3: Modeling Linear Functions Using Multiple Representations

A1.A.4.2

Solve mathematical and real-world problems involving lines that are parallel, perpendicular, horizontal, or vertical

Geometry 1: Tools of Geometry1.5 Did You Find a Parking Spot? (61)

1: Tools of Geometry3: Parallel and Perpendicular Lines

1: Introduction to Parallel and Perpendicular Lines2: Modeling Parallel and Perpendicular Lines



2: Linear Equations 5: Comparing Linear Functions in Different Forms

3: Linear Functions3.2 Tickets for Sale3.3 Cool As a Cucumber or Hot Like a Tamale!

A1.A.4.4Translate between a graph and a situation described qualitatively.

Algebra I 1: Quantities and Relationships

1.1 A Picture is Worth a Thousand Words (3)1.3 There are Many Ways to Represent Functions (35)

Algebra I 1: Quantities and Relationships 1.2 A Sort of Sorts (17)

Course 3 Module 2, Topic 3: Introduction to Functions3.3 One or More Xs to One Y (M2-205)


1: Exploring Functions2: Exploring Graphs of Functions3: Classifying Relations and Functions

A1.F.1.2

Identify the dependent and independent variables as well as the domain and range given a function, equation, or graph. Identify restrictions on the domain and range in real-world contexts.

Algebra I 1: Quantities and Relationships 1.1 A Picture is Worth a Thousand Words1.2 Analyzing and Sorting Graphs


1: Function Overview 1: Identifying Quantities

A1.A.3Generateequivalentalgebraicexpressionsandusealgebraicpropertiestoevaluateexpressionsandarithmeticandgeometricsequences.

A1.A.4Analyzemathematicalchangeinvolvinglinearequationsinreal-worldandmathematicalproblems.

A1.F.1Understandfunctionsasdescriptionsofcovariation(howrelatedquantitiesvarytogether)inreal-worldandmathematicalproblems.

Algebra I

Express linear equations in slope-intercept, point-slope, and standard forms and convert between these forms. Given sufficient information (slope and y-intercept, slope and one-point on the line, two points on

A1.A.4.3

Distinguish between relations and functions.

A1.F.1.1


Page18of29




1: Quantities and Relationships 1.3 There are Many Ways to Represent Functions (35)



15: Other Functions and Inverses 15.1 I Graph in Pieces (877)

1: Quantities and Relationships 1.4 Function Families for 200, Alex… (53)

5: Exponential Functions5.1 Go for the Curve! (295)5.2 Downtown and Uptown (305)

1: Quantities and Relationships 1.4 Function Families for 200, Alex… (53)

5: Exponential Functions

5.3 Let the Transformations Begin! (313)5.4 Take Some Time to Reflect (337)





3: Linear Functions3.1 Is it Getting Hot in Here? (163)3.4 A Growing Business (195)


11: Introduction to Quadratic Functions11.1 Up and Down or Down and Up (617)

A1.F.3.3Add, subtract, and multiply functions using function notation

Algebra I 3: Linear Functions 3.4 A Growing Business (195)

A1.D.1.1

Describe a data set using data displays, describe and compare data sets using summary statistics, including measures of central tendency, location, and spread. Know how to use calculators, spreadsheets, or other appropriate technology to display data and calculate summary statistics.

Algebra I 8: Analyzing Data Sets for One Variable

8.1 Start Your Day Out Right (455)8.2 Which Measure is Better? (469)8.3 You Are Too Far Away!(479)8.4 Whose Scores are Better?(489)8.5 Putting the Pieces Together (505)

3: Descriptive Statistics1: Numerical Summary Statistics

1: Determining Appropriate Measures2: Measuring the Effects of Changing Data Sets3: Calculating and Interpreting Measures of Center

A1.D.1.2

Collect data and use scatterplots to analyze patterns and describe linear relationships between two variables. Using graphing technology, determine regression lines and correlation coefficients; use regression lines to make predictions and correlation coefficients to assess the reliability of those predictions.

Algebra I 9: Correlation and Residuals

9.1 Like a Glove (523)9.2 Gotta Keep It Correlatin' (533)9.3 The Residual Effect (541)9.4 To Fit or Not To Fit? That is the Question! (553)9.5 Who Are You? Who? Who? (563)

3: Descriptive Statistics 2: Lines of Best Fit

1: Estimating Lines of Best Fit2: Using Lines of Best Fit3: Interpreting Lines of Best Fit4: Analyzing Residuals of Lines of Best Fit




Algebra I

Algebra I

Algebra I

Algebra I

Recognize the graph of the functions f(x) x and g(x) = |!| and predict the effects of transformations [ !(! + !) and !(!) + !, where ! is a positive or negative constant] algebraically and

4: Evaluating Liner Functions

1: Introduction to Transforming Functions2: Shifting Vertically3: Reflecting and Dilating Using Graphs4: Shifting Horizontally

1: Recognizing Linear and Exponential Models

1: Function Overview

6: Linear and Exponential Transformations

5: Compare Linear and Exponential Relationships

Algebra I

A1.F.3.1

Identify and generate equivalent representations of linear equations, graphs, tables, and real-world situations.

Use function notation; evaluate a function, including nonlinear, at a given point in its domain algebraically and graphically. Interpret the results in terms of real-world and mathematical problems.

A1.F.3.2

A1.D.1Display,describe,andcomparedata.Forlinearrelationships,makepredictionsandassessthereliabilityofthosepredictions.

A1.F.3Representfunctionsinmultiplewaysandusetherepresentationtointerpretreal-worldandmathematicalproblems.

Given a graph modeling a real-world situation, read and interpret the linear piecewise function (excluding Distinguish between linear and nonlinear (including exponential) functions arising from real-world and mathematical situations that

A1.F.1.4

A1.F.2Recognizefunctionsandunderstandthatfamiliesoffunctionsarecharacterizedbytheirrateofchange.

A1.F.1Understandfunctionsasdescriptionsofcovariation(howrelatedquantitiesvarytogether)inreal-worldandmathematicalproblems.

A1.F.2.2

A1.F.2.1

Algebra IWrite linear functions, using function notation, to model real-world and mathematical situations.

A1.F.1.3


Page19of29




A1.D.1.3Interpret graphs as being discrete or continuous

Algebra I 1: Quantities and Relationships 1.2 A Sort of Sorts (17)

1: Sample Spaces

1: Analyzing Sample Spaces with Visual Representations 2: Analyzing Sample Spaces3: Calculating the Sample Space for Independent and Dependent Actions

2: Independence and Conditional Probability

1: Independent Events2: Conditional Probability3: Understanding Frequency Tables4: Recognizing Concepts of Conditional Probability5: Calculating Concepts of Conditional Probability

A1.D.2.2

Describe the concepts of intersections, unions, and complements using Venn diagrams to evaluate probabilities. Understand the relationships between these concepts and the words AND, OR, and NOT.

Geometry 14: Probability14.3 And? (1069)14.4 Or? (1085)14.5 And, Or, and More! (1099)

A1.D.2.3

Calculate experimental probabilities by performing simulations or experiments involving a probability model and using relative frequencies of outcomes.

Geometry 14: Probability14.6 Do You Have a Better Chance of Winning the Lottery or Getting Struck by Lightening? (1111)

A1.D.2.4Apply probability concepts to real-world situations to make informed decisions.

Geometry 15: More Probability and Counting 15.5 To Spin or Not to Spin (1207) 9: Probability2: Independence and Conditional Probability

6: Calculating Compound Probabilities

14.1 These Are a Few of My Favorite Things (1037)14.2 It's In the Cards (1045)14.3 And? (1069)14.4 Or? (1085)14.5 And, Or, and More! (1099)14.6 Do You Have a Better Chance of Winning the Lottery or Getting Struck by Lightening? (1111)

9: Probability14: ProbabilityGeometry

Select and apply counting procedures, such as the multiplication and addition principles and tree diagrams, to determine the size of a sample space (the number of possible outcomes) and to calculate probabilities.

A1.D.2.1

A1.D.2Calculateprobabilitiesandapplyprobabilityconcepts.

A1.D.1Display,describe,andcomparedata.Forlinearrelationships,makepredictionsandassessthereliabilityofthosepredictions.

CLGeometryAlignmenttoOAS

Page20of29



G.RL.1.1

Understand the use of undefined terms, definitions, postulates, and theorems in logical arguments/proofs

Geometry 2: Introduction to Proof 2.2 And Now From a New Angle (151)2: Segments, Angles, and Lines

1: Introduction to Proofs with Segments and Angles

1: Introduction to Proofs

2: Introduction to Proof 2.1 A Little Dash of Logic (135)8: Using Congruence Theorems 8.4 Making Some Assumptions

G.RL.1.3

Assess the validity of a logical argument and give counterexamples to disprove a statement

Geometry 2: Introduction to Proof 2.1 A Little Dash of Logic (135)

1: Tools of Geometry1.5 Did You Find a Parking Space? (61)1.6 Making Copies-- Just as Perfect as the Original (75)

1: Tools of Geometry3: Parallel and Perpendicular Lines

1: Introduction to Parallel and Perpendicular Lines2: Modeling Parallel and Perpendicular Lines

2: Lines Cut by a Transversal

1: Classifying Angles Formed by Transversals2: Calculating Angles Formed by Transversals3: Calculating Angles Formed by Multiple Transversals

3: Parallel Lines Theorems

1: Proving Parallel Lines Theorems2: Proving the Converses of Parallel Lines Theorems3: Using Parallel Lines Theorems

1: Tools of Geometry 4: Angle Properties1: Calculating and Justifying Angle Measures2: Calculating Angle Measures

2: Segments, Angles, and Lines

1: Introduction to Proofs with Segments and Angles

3: Connecting Steps in Angle Proofs4: Using Angle Theorems

G.2D.1.3

Apply theorems involving the interior and exterior angle sums of polygons and use them to solve real-world and mathematical problems using algebraic reasoning and proofs.

Geometry 10: Properties of Quadrilaterals10.4 Interior Angles of a Polygon (789)10.5 Exterior Angles of a Polygon (801)

1: Properties of Parallelograms

1: Understanding Parallelograms2: Determining Parts of Quadrilaterals and Parallelograms with Numbers3: Determining Parts of Quadrilaterals and Parallelograms with Expressions

2: Parallelogram Proofs 1: Proofs About Parallelograms

1: Tools of Geometry

1.2 Let's Move (17)1.3 Treasure Hunt (35)1.4 It's All About Angles (51)1.5 Did You Find a Parking Spot? (61)1.7 What's the Point? (87)

3: Perimeter and Area of Geometric Figures on the Coordinate Plane

3.1 Transforming to a New Level (227)3.2 Looking for Something Familiar in a New Way (235)3.3 Grasshoppers Everywhere! (255)3.4 Leavin' On a Jet Plane (271)3.5 Composite Figures on the Coordinate Plane (287)

MATHia

2: Segments, Angles, and Lines

6: Parallelograms


1: Deriving the Distance Formula2: Calculating Distances using the Distance Formula3: Partitioning Segments Proportionately 4: Calculating Perimeter and Area using the Distance Formula

2: Distances on the Coordinate Plane

Geometry

Geometry

OKLAHOMA ACADEMIC STANDARDS CARNEGIE LEARNING TEXTBOOK

10: Properties of Quadrilaterals

10.1 Squares and Rectangles (741)10.2 Parallelograms and Rhombi (757)10.3 Kites and Trapezoids (771)10.6 Quadrilateral Family (813)10.7 Name That Quadrilateral (827)

Use coordinate geometry to represent and analyze line segments and polygons, including determining lengths, midpoints, and slopes of line segments.

G.2D.1.2

Apply the properties of special quadrilaterals (square, rectangle, trapezoid, isosceles trapezoid, rhombus, kite, parallelogram) and use them to solve real-world and mathematical problems involving angle measures and segment lengths using algebraic reasoning and proofs.

Apply the properties of parallel and perpendicular lines, including properties of angles formed by a transversal, to solve real-world and mathematical problems and determine if two lines are parallel, using algebraic reasoning and proofs.

2.4 What's Your Proof? (191)2.5 A Reversed Condition (201)

Apply the properties of angles, including corresponding, exterior, interior, vertical, complementary, and supplementary angles to solve real-world and mathematical problems using algebraic reasoning

Geometry

Geometry

2: Introduction to Proof

2: Introduction to Proof

2.2 And Now From (a New Angle (151)2.3 Forms of Proof (169)2.4 What's Your Proof? (191)2.5 A Revered Condition (201)

G.RL.1.2 GeometryAnalyze and draw conclusions based on a set of conditions using

G.2D.1Discover,evaluateandanalyzetherelationshipsbetweenlines,angles,andpolygonstosolvereal-worldandmathematicalproblems;expressproofsinaformthatclearlyjustifiesthereasoning,suchastwo-columnproofs,paragraphproofs,flowcharts,orillustrations.

G.RL.1Useappropriatetoolsandlogictoevaluatemathematicalarguments.

G.2D.1.5

G.2D.1.4

G.2D.1.1


Page21of29



MATHiaOKLAHOMA ACADEMIC STANDARDS CARNEGIE LEARNING TEXTBOOK

5: Properties of Triangles 5.1 Name That Triangle (379)10: Properties of Quadrilaterals 10.7 Name That Quadrilateral (827)

3: Perimeter and Area of Geometric Figures on the Coordinate Plane

3.1 Transforming to a New Level (227)3.2 Looking for Something Familiar in a New Way (235)3.3 Grasshoppers Everywhere! (255)3.4 Leavin' On a Jet Plane (271)3.5 Composite Figures on the Coordinate Plane (287)

10: Properties of Quadrilaterals10.3 Kites and Trapezoids (771)10.6 Quadrilateral Family (813)

6: Similarity Through Transformations

6.1 Big and Small (437)6.2 Similar Triangles or Not? (451)6.3 Keep It in Proportion (463)6.4 Geometric Mean (481)6.5 Proving the Pythagorean Theorem (489)6.6 Indirect Measurement (495)

5: Similarity, Right Triangles, and Trigonometry

1: Similar Triangles

1: Understanding Similarity2: Calculating Corresponding Parts of Similar Triangles3: Proofs Using Similar Triangles

7: Congruence Through Transformations

7.1 Slide, Flip, Turn: The Latest Dance Craze? (513)7.2 All the Same to You (535)7.3 Side-Side-Side (543)7.4 Side-Angle-Side (551)7.5 You Shouldn't Make Assumptions (561)7.6 Ahhhh… Sorry We Didn't Include You (567)7.7 Congruent Triangles in Action (579)

4: Congruence 2: Triangle Congruence

1: Introduction to Triangle Congruence2: Proving Triangles Congruent using SAS and SSS3: Proving Triangle Congruent using AAS and ASA4: Proving Triangles Congruent using HL and HA5: Using Triangle Congruence6: Proving Theorems using Congruent Triangles

G.2D.1.8

Construct logical arguments to prove triangle congruence (SSS, SAS, ASA, AAS and HL) and triangle similarity (AA, SSS, SAS).

Geometry 7: Congruence Through Transformations

7.3 Side-Side-Side (543)7.4 Side-Angle-Side (551)7.5 You Shouldn't Make Assumptions (561)7.6 Ahhhh… Sorry We Didn't Include You (567)7.7 Congruent Triangles in Action (579)

4: Congruence 2: Triangle Congruence

1: Introduction to Triangle Congruence2: Proving Triangles Congruent using SAS and SSS3: Proving Triangle Congruent using AAS and ASA4: Proving Triangles Congruent using HL and HA5: Using Triangle Congruence6: Proving Theorems using Congruent Triangles

6: Similarity Through Transformations6.1 Big and Small (437)

7: Congruence Through Transformations7.1 Slide, Flip, Turn: The Latest Dance Craze? (513)

Geometry 4: Three Dimensional Figures

4.4 Volume of Cones and Pyramids (325)4.5 Spheres a la Archimedes (337)4.6 Turn UP the… (343)

3: Three Dimensional Objects

2: Volume

1: Developing Volume Formulas2: Calculating Volume of Cylinders3: Calculating Volume of Pyramids4: Calculating Volume of Cones5: Calculating Volume of Spheres


Learning's microsite at: http://www.carnegielearning.com/OKGeo

metry

Module 5, topic 2: Three Dimensional Figures

2.3 Hey Mister, Got Some Bird Seed (M5-107)2.4 The Sound of Surface Area (M5-129)2.5 More Than Four Sides of the Story (M5-143)

5: Geometry 4: Volume of Pyramids1: Calculating Volume of Pyramids2: Using Volume of Pyramids

Solve real-world and mathematical problems using the surface area and volume of prisms, cylinders, pyramids, cones, spheres, and composites of these figures. Use nets, measuring devices, or formulas as appropriate.

Geometry

Geometry

Geometry

Apply the properties of congruent or similar polygons to solve real-world and mathematical problems using algebraic and logical reasoning.

Apply the properties of polygons to solve real-world and mathematical problems involving perimeter and area (e.g., triangles, special quadrilaterals, regular polygons up to 12 sides, composite figures).

Use numeric, graphic and algebraic representations of transformations in two dimensions, such as reflections, translations, dilations,


1: Tools of Geometry4: Calculating Perimeter and Area using the Distance Formula

1: Deriving the Distance Formula2: Calculating Distances using the Distance Formula3: Partitioning Segments Proportionately 4: Calculating Perimeter and Area using the Distance Formula



Geometry

Use coordinate geometry to represent and analyze line segments and polygons, including determining lengths, midpoints, and slopes of line segments.

G.2D.1Discover,evaluateandanalyzetherelationshipsbetweenlines,angles,andpolygonstosolvereal-worldandmathematicalproblems;expressproofsinaformthatclearlyjustifiesthereasoning,suchastwo-columnproofs,paragraphproofs,flowcharts,orillustrations.

G.2D.1.5

G.3D.1.1

G.3D.1Solvereal-worldandmathematicalproblemsinvolvingthreedimensionalfigures.

G.2D.1.6

G.2D.1.7

G.2D.1.9


Page22of29






metry

Module 5, topic 2: Volume of Curved Figures

2.1 Drum Roll, Please (M5-85)2.2 Cone of Silence (M5-99)2.3 Pulled in All Directions (M5-113)2.4 Silos, Frozen Yogurt, and Popcorn (M5-123)

8: Volume 1: Volume

1: Calculating Volume of Cylinders2: Using Volume of Cylinders3: Calculating Volume of Cones4: Using Volume of Cones5: Calculating Volume of Spheres6: Using Volume of Spheres

G.3D.1.2

Use ratios derived from similar three-dimensional figures to make conjectures, generalize, and to solve for unknown values such as angles, side lengths, perimeter or circumference of a face, area of a face, and volume.

Geometry 6: Similarity Through Transformation

6.1 Big and Small (437)6.3 Keep It in Proportion (463)6.4 Geometric Mean (481)6.6 Indirect Measurement (495)

G.C.1.1

Apply the properties of circles to solve problems involving circumference and area, approximate values and in terms of Pi, using algebraic and logical reasoning



metry

Module 1, Topic 1: Circles and Ratios1.1 Pi: the Ultimate Ratio (M1-7)1.2 That's a Spicy Pizza (M1-19)1.3 Circular Reasoning (m1-33)

5: Geometry 3: Circles1: Calculating Circumference and Area of Circles

11: Circles

11.1 Riding a Ferris Wheel (839)11.2 Take the Wheel (849)11.3 Manhole Covers (863)11.4 Color Theory (877)11.5 Solar Eclipses (889)

1: Properties of Circles 1: Introduction to Circles

2: Angles in Circles

1: Determining Central and Inscribed Angles in Circles2: Determining Chords in Circles3: Determining Interior and Exterior Angles in Circles4: Angles of an Inscribed Quadrilateral

3: Arc Length1: Relating Arc Length and Radius 2: Calculating Area of a Sector

G.C.1.3

Recognize and write the radius !, center (ℎ, !), and standard form of the equation of a circle (! − ℎ)2 + (! − !)2 = !2 with and without graphs.

Geometry 13: Circles and Parabolas13.1 The Coordinate Plane (965)13.2 Bring on the Algebra (973)13.3 Is That Point on the Circle (989)

8: Conics 1: Equation of a Circle2: Determining the Radius and Center of a Circle

G.C.1.4

Apply the distance and midpoint formula, where appropriate, to develop the equation of a circle in standard form.

Geometry 13: Circles and Parabolas 13.2 Bring on the Algebra (973) 8: Conics 1: Equation of a Circle 1: Deriving the Equation of a Circle

1: Tools of Geometry1.2 Let's Move (17)1.3 Treasure Hunt (35)

4: Three Dimensional Figures4.8 Two Dimensions Meet Three Dimensions (359)

6: Similarity Through Transformations6.5 Proving the Pythagorean Theorem (489)

G.RT.1.2

Verify and apply properties of right triangles, including properties of 45-45-90 and 30-60-90 triangles, to solve problems using algebraic andlogical reasoning.

Geometry 5: Properties of Triangles5.4 Stamps Around the World (411)5.5 More Stamps, Really ? (419)


2: Special Right Triangles

1: Introduction to Special Right Triangles2: Calculating the Lengths of Sides of Special Right Triangles

3: Trigonometric Ratios

1: Introduction to Trigonometric Ratios2: Relating Sine and Cosine of Complementary Angles

Apply the properties of circles and relationships among angles; arcs; and distances in a circle among radii, chords, secants and tangents to solve problems using algebraic and logical reasoning

Solve real-world and mathematical problems using the surface area and volume of prisms, cylinders, pyramids, cones, spheres, and composites of these figures. Use nets, measuring devices, or formulas as appropriate.

7: Circles

Use the definition of the trigonometric functions to determine the sine, cosine, and tangent ratio of an acute angle in a right triangle. Apply the inverse trigonometric functions as ratios to find the measure of an acute angle in right triangles.

Apply the distance formula and the Pythagorean Theorem and its converse to solve real-world and mathematical problems, as approximate and exact values, using algebraic and logical

12.1 Replacement for a Carpenter's Square (911)12.2 Gears (923)12.3 Playing Darts (935)12.4 Circle K. Excellent! (959)

9.1 Three Angle Measure (657)9.2 The Tangent Ratio (669)9.3 The Sine Ratio (685)9.4 The Cosine Ratio (695)9.5 We Complement Each Other (707)9.6 Time to Derive (717)

12: Arcs and Sectors of Circles

Geometry

Geometry

9: TrigonometryGeometry5: Similarity, Right Triangles, and Trigonometry


1: Deriving the Distance Formula2: Calculating Distances using the Distance Formula3: Partitioning Segments Proportionately 4: Calculating Perimeter and Area


G.RT.1Developandverifymathematicalrelationshipsofrighttrianglesandtrigonometricratiostosolvereal-worldand

G.RT.1.3

G.RT.1.1

G.3D.1.1

G.3D.1Solvereal-worldandmathematicalproblemsinvolvingthreedimensionalfigures.

G.C.1.2G.C.1Solvereal-worldandmathematicalproblemsusingthepropertiesofcircles.


Page23of29




4: Right Triangles and Trigonometric Ratios

1: Determining Side Lengths using One Trigonometric Ratio2: Determining Side Lengths using Two Trigonometric Ratios

G.RT.1.4

Apply the trigonometric functions as ratios (sine, cosine, and tangent) to find side lengths in right triangles in real-world and mathematical problems.

Geometry 9: Trigonometry



4: Right Triangles and Trigonometric Ratios

1: Determining Side Lengths using One Trigonometric Ratio2: Determining Side Lengths using Two Trigonometric Ratios

Use the definition of the trigonometric functions to determine the sine, cosine, and tangent ratio of an acute angle in a right triangle. Apply the inverse trigonometric functions as ratios to find the measure of an acute angle in right triangles.


9: TrigonometryGeometry5: Similarity, Right Triangles, and Trigonometry

G.RT.1.3

CLAlgebraIIAlignmenttoOAS




A2.N.1.1Find the value of i^n for any whole number i.

Algebra II 2: Quadratic Functions2.6 Now Its Getting Complex..But It's Really Not Difficult (165)

2: Quadratic Functions2: Operations with Complex Numbers

3: Simplifying Powers of i

A2.N.1.2Simplify, add, subtract, multiply, and divide complex numbers.

Algebra II 2: Quadratic Functions2.6 Now Its Getting Complex..But It's Really Not Difficult (165)

2: Quadratic Functions2: Operations with Complex Numbers

4: Adding and Subtracting Complex Numbers5: Multiplying Complex Numbers

A2.N.1.3

Use matrices to organize and represent data. Identify the order (dimension) of a matrix, add and subtract matrices of appropriate dimensions, and multiply a matrix by a scalar to create a new matrix to

1: Simplification and Operations with Radicals

1: Simplifying Radicals 2: Adding and Subtracting Radicals3: Multiplying Radicals4: Dividing Radicals

2: Radical Expressions with Variables

1: Simplifying Radicals with Variables2: Adding and Subtracting Radicals with Variables3: Multiplying Radicals with Radicals

12: Quadratics and Polynomials

12.4 Zeroing In (743)12.5 What Makes You So Special (751)12.7 Another Method (771)

13: Solving Quadratic Equations and Inequalities13.1 Ladies and Gentlemen: Please Welcome the Quadratic Formula (789)

14: Real Number System14.4 It's Not Complex -- Just It's Solutions are Complex (859)

16: Mathematical Modeling16.3 Modeling Data Helps Us Make Predictions (947)

Algebra II 2: Quadratic Functions2.7 You Can't Spell "Fundamental Theorem of Algebra" Without F-U-N! (179)

5: Exponential Functions5.1 Go for the Curve! (295)5.2 Downtown and Uptown (305)5.6 Checkmate! (347)

16: Mathematical Modeling16.1 People, Tea, and Carbon Dioxide (931)

10: Graphs of Exponential and Logarithmic Functions

10.1 Small Investment, Big Reward (739)10.2 We Have Liftoff! (749)

11: Exponential and Logarithmic Expressions and Equations

11.1 All the Pieces of the Puzzle (811)11.3 What's Your Strategy? (833)

Algebra II

A2.N.1Extendtheunderstandingofnumberandoperationstoincludecomplexnumbers,matrices,radicalexpressions,andexpressionswrittenwithrationalexponents

OKLAHOMA ACADEMIC STANDARDS CARNEGIE LEARNING TEXTBOOK

A2.N.1.4

Understand and apply the relationship of rational exponents to integer exponents and radicals to solve problems

MATHia

See supplemental materials on Carnegie Learning's microsite at: http://www.carnegielearning.com/OKAlgebra2

A2.A.1Representandsolvemathematicalandreal-worldproblemsusingnonlinearequationsandsystemsoflinearequations;interpretthesolutionsintheoriginalcontext.

8: Radical Expressions

4: Quadratics

9.4 Keepin' It Real (693)9.5 Time to Operate (709)

9: Exponential Models


Algebra ISee supplemental materials on Carnegie

Learning's microsite at: http://www.carnegielearning.com/OKAlg

ebra2A2.A.1.1

Represent real-world or mathematical problems using quadratic equations and solve using various methods (including graphing calculator or other appropriate technology), factoring, completing the square, and the quadratic formula. Find non-real roots when they exist.

1: Exponential and Logarithmic Functions

1: Properties of Exponential Graphs



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Algebra II

Represent real-world or mathematical problems using exponential equations, such as compound interest, depreciation, and population growth, and solve these equations graphically (including graphing calculator or other appropriate technology) or algebraically.

7: Quadratic Equation Solving

1: Introduction to Solving Quadratic Equations 2: Solving Quadratic Equations by Factoring 3: Solving Quadratic Equations





OKLAHOMA ACADEMIC STANDARDS CARNEGIE LEARNING TEXTBOOK MATHia

A2.A.1.3Solve one-variable rational equations and check for extraneous solutions

Algebra II 8: Solving Rational Expressions

8.3 Things are Not Always as They Appear (621)8.4 Get to Work, Mix it Up, Go the Distance, and Lower the Cost! (641)

6: Rational Expressions and Functions

3: Rational Equations

1: Solving Rational Equations that Result in Linear Equations 2: Solving Rational Equations that Result in Quadratic Expressions3: Solving Rational Equations

A2.A.1.4

Solve polynomial equations with real roots using various methods and tools that may include factoring, polynomial division, synthetic division, graphing calculators or other appropriate

Algebra II 4: Polynomial Expressions and Equations

4.1 Don't Take This Out of Context (317)4.2 The Great Polynomial Divide (325)4.3 The Factors of Life (343)4.4 Break It Down (351)

3: Polynomial Functions 4: Solving Polynomials

1: Factoring Higher Order Polynomials2: Applying the Remainder Theorem

A2.A.1.5Solve square root equations with one variable and check for extraneous solutions

Algebra II 9: Radical Functions 9.2 The Root of the Matter (675)

A2.A.1.6Solve common and natural logarithmic equations using the properties of logarithms.

Algebra II11: Exponential and Logarithmic Expressions and Equations

11.4 Logging On (845)11.5 So When Will I Use This? (863)

9: Exponential Models2: Solve Equations with Base 2, 10, or e

1: Solving Base 2 and Base 10 Equations (No Type In)2: Solving Base 2 and Base 10 Equations (Type In)3: Solving Base e Equations (No Type In)4: Solving Base e Equations (Type in)5: Solving Any Base Equations (No Type In)6: Solving Any Base Equations (Type In)

A2.A.1.7

Solve real-world and mathematical problems that can be modeled using arithmetic or finite geometric sequences or series given the nth terms and sum formulas. Graphing calculators or other appropriate technology may be used.

Algebra II 6: Sequences and Series

6.1: Sequence - Not Just Another Glittery Accessory (465)2: This is Series(ous) Buisness (473)6.3 I Am Having a Series Craving (For Some Math)! (487)6.4 These Series Just Go On…And On…And On… (499)6.5 The Power of Interest (It's a Curious Thing) (511)6.6 A Series of Fortunate Events

5: Sequences and Series1: Finite Geometric Series

1: Calculating the Sum of Finite Geometric Series2: Using the Formula for Finite Geometric Series

A2.A.1.8

Represent real-world or mathematical problems using systems of linear equations with a maximum of three variables and solve using various methods that may include substitution, elimination, and graphing (may include graphing calculators or

Algebra II 2: Quadratic Functions 2.5 What's the Point? (147)

A2.A.1.9

Solve systems of equations containing one linear equation and one quadratic equation using tools that may include graphing calculators orother appropriate technology



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13: Solving Quadratic Equations and Inequalities 13.4 You Must Have a System (829)

A2.A.2.1

Factor polynomial expressions including but not limited to trinomials, differences of squares, sum and difference of cubes, and factoring by grouping using a

Algebra II 4: Polynomial Expressions and Equations 4.3 The Factors of Life (343)4.4 Break It Down (351)

3: Polynomial Functions 4: Solving Polynomials1: Factoring Higher Order Polynomials

A2.A.2Representandanalyzemathematicalsituationsandstructuresusingalgebraicsymbolsusingvariousstrategiestowriteequivalentformsofexpressions.

A2.A.1Representandsolvemathematicalandreal-worldproblemsusingnonlinearequationsandsystemsoflinearequations;interpretthesolutionsintheoriginalcontext.








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12.1 Controlling the Population (703)12.2 They're Multiplying by Polynomials (717)

4: Quadratics 4: Polynomial Operations

1: Introduction to Polynomial Arithmetic2: Adding Polynomials3: Subtracting Polynomials4: Using a Factor Table to Multiply Polynomials5: Multiplying Polynomials

4: Polynomial Expressions and Equations 4.2 The Great Polynomial Divide (325)

3: Polynomial Functions3: Polynomial Operations

1: Adding Polynomials with Higher Orders3: Multiplying Polynomials4: Polynomial Long Division5: Synthetic Division

8: Solving Rational Expressions

8.1 There Must be a Rational Explanation (603)8.2 Different Client, Same Deal (613)


2: Rational Expressions

1: Simplifying Rational Expressions2: Multiplying and Dividing Rational Expressions3: Adding and Subtracting Rational Expressions



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11: Introduction to Quadratic Functions

11.1 Up and Down or Down and Up (617)11.2 Just You and I (625)11.4 Are You Afraid of Ghosts? (645)11.5 Just Watch That Pumpkin Fly (653)11.6 The Form is "Key" (661)

4: Quadratics 6: Forms of Quadratics

1: Identifying Properties of Quadratic Functions2: Converting Quadratics to General Form3: Converting Quadratics to Factored Form5: Comparing Quadratic Functions in Different Forms

Algebra II 2: Quadratic Functions 2.1 Shapes and Structure (89) 2: Quadratic Functions1: Forms of Quadratic Functions

2: Quadratic Modeling

5.5 Radical! Because It's Cliché


1: Simplification and Operations with Radicals

1: Simplifying Radicals2: Adding and Subtracting Radicals3: Multiplying Radicals4: Dividing Radicals

2: Radical Expressions with Variables

1: Simplifying Radicals with Variables2: Adding and Subtracting Radicals with Variables3: Multiplying Radicals with Radicals

1: Quantities and Relationships 1.2 A Sort of Sorts (17)

11: Introduction to Quadratic Functions 11.3 Walking the … Curve? (637)

15: Other Functions and Inverses 15.4 Taking the Egg Plunge(909)2: Linear and Exponential Relationships


2: Relating Domain to Exponential Functions

12.6 Could it Be Groovy to Be a Square? (761)



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9: Radical Functions

9.4 Keepin' It Real (693)9.5 Time to Operate (709)9.6 Look to the Horizon (721)

A2.A.2Representandanalyzemathematicalsituationsandstructuresusingalgebraicsymbolsusingvariousstrategiestowriteequivalentformsofexpressions.

A2.F.1.1

Use algebraic, interval, and set notations to specify the domain and range of functions of various types and evaluate a function at a given point in its domain.

A2.A.2.4

Algebra II

Rewrite expressions involving radicals and rational exponents using the properties of exponents.



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A2.A.2.2

Recognize that a quadratic function has different equivalent representations Identify and use the representation that is most appropriate to solve real-world and mathematical problems.

A2.A.2.3

Algebra II

Add, subtract, multiply, divide, and simplify polynomial and rational expressions

A2.F.1Understandfunctionsas

descriptionsofcovariation(how

relatedquantitiesvarytogether).




7: Rational Exponents

1: Properties of Rational Exponents2: Rewriting Expressions with Radical and Rational Exponents

1: Function Overview6: Identifying Key Characteristics of Graphs of Functions






3: Polynomial Functions3.1 Planting the Seeds (207)3.4 Polynomial DNA (261)

4: Polynomial Expressions and Equations 4.6 Exploring Polynomial Identities (371)

7: Rational Functions

7.1 A Rational Existence (541)7.2 A Rational Shift in Behavior (553)7.3 A Rational Approach (563)7.5 The Breaking Point (584)

9: Radical Functions 9.2 The Root of the Matter (675)9.3 Making Waves (685)


10.2 We Have Liftoff! (749)10.4 I Feel the Earth Move (773)10.5 More Than Meets the Eye (787)

12: Modeling with Functions12.1 It's Not New, It's Recycled (883)12.6 Grab Bag (941)


5.3 Let the Transformations Begin! (313)5.4 Take Some Time to Reflect (327)


6: Linear and Exponential Transformations

1: Introduction to Transforming Functions2: Shift Vertically3: Reflecting and Dilating Using Graphs4: Shifting Horizontally5: Transforming using Tables of Values6: Using Multiple

11: Introduction to Quadratic Functions11.7 Transformations of Quadratic Functions (675)

4: Quadratics3: Linear and Quadratic Transformations

1: Shift Vertically2: Reflecting and Dilating Using Graphs3: Shifting Horizontally4: Transforming using Tables of Values5: Using Multiple Transformations

2: Quadratic Functions2.2 Function Sense (109)2.3 Up and Down (119)2.4 Side to Side (133)

2: Quadratic Functions1: Forms of Quadratic Functions

4: Quadratic Transformations

9: Radical Functions 9.3 Making Waves (685)


10.3 I Like to Move It (763)10.5 More Than Meets the Eye (787)



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11: Introduction to Quadratic Functions

11.1 Up and Down or Down and Up (617)11.2 Just You and I (625)11.3 Walking the … Curve? (637)11.4 Are You Afraid of Ghosts? (645)11.5 Just Watch That Pumpkin Fly!

4: Quadratics2: Quadratic Models in General Form

2: Recognizing Key Features of Projectile Motion Graphs

Algebra II 2: Quadratic Functions 2.1 Shape and Structure (89) 2: Quadratic Functions1: Forms of Quadratic Functions

1: Examining the Shape and Structure of Quadratic Functions

A2.F.1.1

Use algebraic, interval, and set notations to specify the domain and range of functions of various types and evaluate a function at a given point in its domain.

A2.F.1.2

Recognize the graphs of exponential, radical (square root and cube root only), quadratic, and logarithmic functions. Predict the effects of transformations algebraically and graphically, using various methods and tools that may include graphing calculators or other appropriate technology.

Algebra II

A2.F.1.3

Graph a quadratic function. Identify the x- and y-intercepts, maximum or minimum value, axis of symmetry, and vertex using various methods and tools that may include a graphing calculator or appropriate technology.



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Algebra II




1: Function Overview1: Identifying Key Characteristics of Graphs of Functions

2: Graphs of Functions








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1: Introduction to Exponential Functions5: Comparing Exponential Functions in Different Forms

Algebra II10: Graphs of Exponential and Logarithmic Functions

10.1 Small Investment, Big Reward (739)10.2 We Have Liftoff! (749)10.4 I Feel the Earth Move (773)

9: Exponential Models1: Exponential and Logarithmic Functions

1: Properties of Exponential Graphs2: Introduction to Logarithmic Functions

3: Polynomial Functions3.3 Function Makeover (239)3.4 Polynomial DNA (261)

4: Polynomial Expressions and Equations 4.1 Don't Take This Out of Context (317)

5: Polynomial Functions 5.5 The Choice is Yours (445)

A2.F.1.6

Graph a rational function and identify the x- and y-intercepts, vertical and horizontal asymptotes, using various methods and tools that may include a graphing calculator or other appropriate technology. (Excluding slant or

Algebra II 7: Rational Functions

7.1 A Rational Existence (541)7.2 A Rational Shift in Behavior (553)7.3 A Rational Approach (563)7.5 The Breaking Point (584)


1: Rational Functions

1: Introduction to Rational Functions2: Modeling Ratios as Rational Functions

A2.F.1.7

Graph a radical function (square root and cube root only) and identify the x- and y-intercepts using various methods and tools that may includea graphing calculator or other

Algebra II 9: Radical Functions 9.2 The Root of the Matter (675)

7: Inverse Functions 1: Inverse Functions

4: Graphing Square Root Functions5: Graphing Cube Root Functions

15: Other Functions and Inverses 15.1 I Graph In Pieces (877)

16: Mathematical Modeling 16.5 Cell Phone Batteries, Gas Prices, and Single Family Homes (963)

Algebra II 5: Polynomial Functions 5.3 Connecting Pieces (425) 4: Other Functions 1: Piecewise Functions

1: Introduction to Piecewise Functions2: Graphing Linear Piecewise Functions3: Using Linear Piecewise Functions

A2.F.2.1Add, subtract, multiply, and divide functions using function notation and recognize domain restrictions.

Algebra II 12: Mathematical Modeling12.1 It's Not New, It's Recycled (883)

3: Polynomial Functions3: Polynomial Operations

2: Adding and Subtracting Standard Function Types

Algebra II 12: Mathematical Modeling12.1 It's Not New, It's Recycled (883)

3: Polynomial Functions



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15: Other Functions and Inverses15.3 The Inverse Undoes What a Function Does (895)

5: Inverses of Functions2: Composition of Functions

1: Modeling with Linear Function Composition2: Composing Linear Functions

Algebra II

A2.F.1.4

Graph exponential and logarithmic functions. Identify asymptotes and x- and y-intercepts using various methods and tools that may include graphing calculators or other appropriate technology. Recognize exponential decay and growth graphically and algebraically.

A2.F.1.5

Graph piecewise functions with no more than three branches (including linear, quadratic, or exponential branches) and analyze the function by identifying the domain, range, intercepts, and intervals for which it is increasing, decreasing, and constant.

A2.F.2Analyzefunctionsthroughalgebraiccombinations,compositions,andinverses,iftheyexist.

Analyze the graph of a polynomial function by identifying the domain, range, intercepts, zeros, relative maxima, relative minima, and intervals of increase and decrease.






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A2.F.2.2 Combine functions by composition .

A2.F.1.8

3: Polynomial Functions

1: Classifying Polynomial Functions2: Interpreting Key Features of Graphs in Terms of Quantities3: Identifying Key Characteristics of Polynomial Functions4: Identifying Zeros of

2: Graphs of Polynomial Functions








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15: Other Functions and Inverses15.3 The Inverse Undoes What a Function Does (895)15.4 Taking the Egg Plunge! (909)

9: Radical Function 9.1 With Great Power (663)


10.4 I Feel the Earth Move (773)

A2.F.2.4

Apply the inverse relationship between exponential and logarithmic functions to convert from one form to another.

Algebra II11: Exponential and Logarithmic Expressions and Equations

11.1 All the Pieces of the Puzzle (811)

A2.D.1.1

Use the mean and standard deviation of a data set to fit it to a normal distribution (bell-shaped curve)

Algebra II 15: Interpret Data in Normal Distributions15.1 Recharge It! (1073)15.2 #I'mOnline (1083)

11: Interpreting Data1: Interpreting Data in Normal Distributions

1: Normal Distributions

3: Linear Functions 3.1 Is It Getting Hot in Here? (163)

9: Correlation and Residuals9.2 Gotta Keep It Correlatin' (533)9.5 Who Are You? Who? Who? (563)

16: Mathematical Modeling 16.4 BAC is BAD News (957)

2: Quadratic Functions 2.5 What's the Point? (147)

5: Polynomial Functions 5.4 Modeling Gig (439)

A2.D.1.3

Based upon a real-world context, recognize whether a discrete or continuous graphical representation is appropriate and then create the graph.



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1: Quantities and Relationships 1.2 A Sort of Sorts (17)

A2.D.2.1

Evaluate reports based on data published in the media by identifying the source of the data, the design of the study, and the way the data are analyzed and displayed. Given spreadsheets, tables, or graphs, recognize and analyze distortions in data displays. Show how graphs and data can be

Algebra II 16: Making Inference and Justifying Conclusions16.1 For Real (1119)16.2 Circle Up (1127)

A2.D.2.2

Identify and explain misleading uses of data. Recognize when arguments based on data confuse correlation and causation.



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9: Correlation and Residuals 9.5 Who Are You? Who? Who? (563)

A2.F.2Analyzefunctionsthroughalgebraiccombinations,compositions,andinverses,iftheyexist.

A2.D.2Analyzestatisticalthinkingtodrawinferences,makepredictions,andjustifyconclusions.

A2.D.1Display,describe,andcomparedata.Forlinearandnonlinearrelationships,makepredictionsandassessthereliabilityofthosepredictions.

A2.D.1.2

Algebra II

A2.F.2.3

7: Quadratic Equation Solving

4: Using Regression Models



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Algebra II

Collect data and use scatterplots to analyze patterns and describe linear, exponential or quadratic relationships between two variables. Using graphing calculators or other appropriate technology, determine regression equation and correlation coefficients; use regression equations to make predictions and correlation coefficients to assess

Find and graph the inverse of a function, if it exists, in real-world and mathematical situations. Know that the domain of a function f is the range of the inverse function, and the range of the function f is the domain of the inverse function.

4: Quadratics

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