Grade 6 - Greenwood School District Math Pacing Guide/6,7,8, GT Math P… · Web viewusing proportions to determine unit rates, using a scale to determine distance, and . applying

Grade 6 Advanced Math Guide for GTGrade 6 Advanced Math Guide for GTOverviewOverview

This overview provides only the highlights of the new learning that should take place at the sixth-grade level. The specific skills and subject matter that sixth graders should be taught in each of the five mathematical strands are set forth in the formal standards and indicators for these strands. To alert educators as to when the progression in learning should occur for students in this grade, specific language is used with certain indicators:

16 An indicator beginning with the phrase “Generate strategies” addresses a concept that is being formally introduced for the first time, and students must therefore be given experiences that foster conceptual understanding.

17 An indicator beginning with the phrase “Apply an algorithm,” “Apply a procedure,” “Apply procedures,” or “Apply formulas” addresses a concept that has been introduced in a previous grade: students should already have the conceptual understanding, and the goal must now be fluency.

18 An indicator beginning with the phrase “Apply strategies and formulas” or “Apply strategies and procedures” addresses a concept that is being formally introduced for the first time, yet the goal must nonetheless be that students progress to fluency.

Highlights of the new learning for grade-six students are understanding the concepts of percentages and integers, comparing rational numbers and percentages, applying an algorithm to add and subtract fractions, generating strategies to multiply and divide fractions and decimals, understanding the concepts of exponents and powers of ten, applying order of operations, using inverse operations to solve one-step equations, representing location of points in all four quadrants, constructing two-dimensional shapes with rotational symmetry, classifying shapes as similar, identifying pairs of angles that are complementary or supplementary, applying strategies and formulas to approximate circumference and area of a circle, applying strategies and procedures to estimate and determine perimeters and areas of

irregular shapes, using proportions to determine unit rates, using a scale to determine distance, and applying procedures to calculate the probability of complementary events.

GRADE 6 ADVANCED MATH GUIDE FOR GT Mathematical Processes

The mathematical processes provide the framework for teaching, learning, and assessing in mathematics at all grade levels. Instructional programs should be built around these processes.

Standard 6-1: The student will understand and utilize the mathematical processes of problem solving, reasoning and proof, communication, connections, and representation.

The indicators for this standard, which are appropriate for grades six though eight, are adapted from Principles and Standards for School Mathematics (NCTM 2000). Classroom application should be based on the standard and its indicators; the mathematical goals for the class; and the skills, needs, and understandings of the particular students.

Indicators

6-1.1 Generate and solve complex abstract problems that involve modeling physical, social, and/or mathematical phenomena.

6-1.2 Evaluate conjectures and pose follow-up questions to prove or disprove conjectures.

6-1.3 Use inductive and deductive reasoning to formulate mathematical arguments.6-1.4 Understand equivalent symbolic expressions as distinct symbolic forms that

represent the same relationship. 6-1.5 Generalize mathematical statements based on inductive and deductive reasoning.6-1.6 Use correct and clearly written or spoken words, variables, and notations to

communicate about significant mathematical tasks.6-1.7 Generalize connections among a variety of representational forms and real-world

situations.6-1.8 Use standard and nonstandard representations to convey and support

mathematical relationships.

Unitedstreaming.com Grades 6 - 8Search – math problem solving –14 lessons

math reasoning—3 lessons math proofs—1 lesson math communications—6 lessonsmath connections—1 lesson

math representation—7 lessons

GRADE 6 ADVANCED MATH GUIDE FOR GTNumber and Operations

Standard 6-2: The student will demonstrate through the mathematical processes an understanding of the concepts of whole-number percentages, integers, and ratio and rate; the addition and subtraction of fractions; accurate, efficient, and generalizable methods of multiplying and dividing fractions and decimals; and the use of exponential notation to represent whole numbers.

Indicators Lesson Plans

Diagnostic Tests Challenge the PACT Workbook Pages 1 – 11

Buckle Down PACT Form A6-2.1 Understand whole-number percentages through 100.

Fantastic Five Buckle Down PACT Pages 49 – 51 PACT Workbook Pages 5 – 6

6-2.2 Understand integers. Fantastic Five Buckle Down PACT Pages 9 – 10 PACT Workbook Pages 13 – 14 Challenge the PACT Workbook

Pages 112 – 123 Glencoe Lesson 11-1 Lesson 11-1 Power Point Subtracting Integers Power Point Integers Power Point Integers Power Point Integers Power Point Adding and Subtracting Integers

Review Power Point Integers Review Power Point Integers Study Guide Integers Test Unitedstreaming.com Grade 6-8

(Page 1 – 9 lessons)6-2.3 Compare rational numbers and whole-number percentages through 100 by using the symbols ≤, ≥, <, >, and =.

Fantastic Five Buckle Down PACT Pages 30 – 32 Buckle Down PACT Pages 41 – 42 PACT Workbook Pages 3 – 4 Challenge the PACT Workbook

Page 39 Challenge the PACT Workbook

Pages 116 – 117 Glencoe Lesson 3-3

Glencoe Lesson 5-8 Glencoe Lesson 11-2 Lesson 3-3 Power Point Lesson 5-8 Power Point Lesson 11-2 Power Point Unitedstreaming.com Grade 6-8

Search – inequalities (6 lessons)6-2.4 Apply an algorithm to add and subtract fractions.

Fantastic Five Buckle Down PACT Pages 33 – 34 Challenge the PACT Workbook

Pages 57 – 67 Glencoe Lesson 6-3 Glencoe Lesson 6-4 Glencoe Lesson 6-5 Glencoe Lesson 6-6 Lesson 6-4 Power Point Lesson 6-5 Power Point Lesson 6-6 Power Point Simplifying Fractions Power Point Mixed Numbers Power Point Improper Fractions Power Point Unitedstreaming.com Grade 6 -

IIIA1(2 lessons)6-2.5 Generate strategies to multiply and divide fractions and decimals.

Fantastic Five Buckle Down PACT Pages 35 – 40 Buckle Down PACT 45 – 48 Challenge the PACT Workbook

Pages 42 – 44 Challenge the PACT Workbook

Pages 68 – 72 Glencoe Lesson 4-1 Glencoe Lesson 4-3 Glencoe Lesson 4-5 Glencoe Lesson 4-6 Glencoe Lesson 4-7 Glencoe Lesson 7-2 Glencoe Lesson 7-3 Glencoe Lesson 7-5 Glencoe Lesson 7-6 Lesson 4-1 Power Point Lesson 4-3 Power Point Lesson 4-5 Power Point Lesson 4-6 Power Point Lesson 4-7 Power Point Lesson 7-2 Power Point Lesson 7-3 Power Point

Lesson 7-5 Power Point Lesson 7-6 Power Point Unitedstreaming.com Grade 6-8

Search – * & / fractions (3 lessons)6-2.6 Understand the relationship between ratio/rate and multiplication/division.

Fantastic Five PACT Workbook Pages 7 – 8 Challenge the PACT Workbook

Pages 52 – 56 Glencoe Lesson 8-1 Lesson 8-1 Power Point Ratio Power Point Unitedstreaming.com Grade 6-8

Search – ratios :Page 1 (4 lessons)6-2.7 Apply strategies and procedures to determine values of powers of 10, up to 106.

Fantastic Five Buckle Down PACT Pages 18 – 19 PACT Workbook Pages 9 – 10 Exponents (Powers of Ten) Power

Point Unitedstreaming.com Grade 6-8

Search – exponents (First 7 lessons)

6-2.8 Represent the prime factorization of numbers by using exponents.

Fantastic Five Buckle Down PACT Pages 20 – 23 Challenge the PACT Workbook

Pages 152 – 154 Glencoe Lesson 5-2 Lesson 5-2 Power Point Prime Factor Tree Power Point Divisibility Rules Power Point Exponents Power Point Prime and Composite Numbers

Power Point Unitedstreaming.com Grade 6-8

Search – prime factorization (2 lessons)

6-2.9 Represent whole numbers in exponential form.

Fantastic Five Glencoe Lesson 1-6

Additional Number and Operations Indicators

Fantastic Five Challenge the PACT Workbook

Pages 48 – 51 PACT Workbook Pages 1 – 2, 11 –

12, 15 – 16, 19 – 20, 25 – 26, 27 – 28

GRADE 6 ADVANCED MATH GUIDE FOR GTAlgebra

Standard 6-3: The student will demonstrate through the mathematical processes an understanding of writing, interpreting, and using mathematical expressions, equations, and inequalities.


6-3.1 Analyze numeric and algebraic patterns and pattern relationships.

Fantastic Five Buckle Down PACT Pages 93 – 98 PACT Workbook Pages 29 – 30 Glencoe Lesson 1-2 Glencoe Lesson 7-8 Lesson 7-8 Power Point Unitedstreaming.com Grade 6 –

Search patterns—3 choices6-3.2 Apply order of operations to simplify whole-number expressions.

Fantastic Five Buckle Down PACT Pages 24 – 25 PACT Workbook Pages 31 – 32 Challenge the PACT Workbook

Pages 98 – 100 Glencoe Lesson 1-4 Unitedstreaming.com Grade 6 –

Search order of operations—1 choice

6-3.3 Represent algebraic relationships with variables in expressions, simple equations, and simple inequalities.

Fantastic Five Buckle Down PACT Pages 82 – 85 Glencoe Lesson 1-5 Unitedstreaming.com Grade 6 –

Search equations—1 choice6-3.4 Use the commutative, associative, and distributive properties to show that two expressions are equivalent.

Fantastic Five Buckle Down PACT Pages 78 – 81 Glencoe Lesson 4-2 PACT Workbook Pages 17 – 18 PACT Workbook Pages 35 – 36 Challenge the PACT Workbook

Pages 107 – 111 Lesson 4-2 Power Point Properties Power Point Properties Power Point Properties Review Power Point Properties Study Guide Properties Practice Test Properties Test

Unitedstreaming.com Grade 6 – Search order of operations—1 choice

6-3.5 Use inverse operations to solve one-step equations that have whole-number solutions and variables with whole-number coefficients.

Fantastic Five Glencoe Lesson 12-1 Glencoe Lesson 12-2 Glencoe Lesson 12-3 Lesson 12-1 Power Point Lesson 12-2 Power Point Lesson 12-3 Power Point Unitedstreaming.com Grade 6 –

Search equations—1 choiceAdditional Algebra Indicators Fantastic Five

Challenge the PACT Workbook Pages 124 – 130, 131, 132 – 139

PACT Workbook Pages 33 – 34, 37 – 38

GRADE 6 ADVANCED MATH GUIDE FOR GTGeometry

Standard 6-4: The student will demonstrate through the mathematical processes an understanding of shape, location, and movement within a coordinate system; similarity, complementary, and supplementary angles; and the relationship between line and rotational symmetry.


6-4.1 Represent with ordered pairs of integers the location of points in a coordinate grid.


Pages 247 – 256 Glencoe Lesson 2-9 Glencoe Lesson 11-7 Lesson 2-9 Power Point Lesson 11-7 Power Point Battlegraph Power Point

6-4.2 Apply strategies and procedures to find the coordinates of the missing vertex of a square, rectangle, or right triangle when given the coordinates of the polygon’s other vertices.

Fantastic Five Buckle Down PACT Pages 126 –

128 PACT Workbook Pages 47 – 48

6-4.3 Generalize the relationship between line symmetry and rotational symmetry for two-dimensional shapes.


122 Symmetry Power Point

6-4.4 Construct two-dimensional shapeswith line or rotational symmetry.

Fantastic Five PACT Workbook Pages 43 – 44

6-4.5 Identify the transformation(s) used to move a polygon from one location to another in the coordinate plane.


1196-4.6 Explain how transformations affect the location of the original polygon in the coordinate plane.



6-4.7 Compare the angles, side lengths, and perimeters of similar shapes.



6-4.8 Classify shapes as similar. Fantastic Five Buckle Down PACT Pages 111 –


Glencoe Lesson 9-6 Lesson 9-6 Power Point

6-4.9 Classify pairs of angles as either complementary or supplementary.

Fantastic Five Glencoe Lesson 9-1 Lesson 9-1 Power Point

Additional Geometry Indicators Fantastic Five Challenge the PACT Workbook

Pages 172 – 174 PACT Pages 39 – 40, 49 – 50, 53 –

54, 55 – 56, 57 – 58, 59 – 60

GRADE 6 ADVANCED MATH GUIDE FOR GTMeasurement

Standard 6-5: The student will demonstrate through the mathematical processes an understanding of surface area; the perimeter and area of irregular shapes; the relationships among the circumference, diameter, and radius of a circle; the use of proportions to determine unit rates; and the use of scale to determine distance.


6-5.1 Explain the relationships among the circumference, diameter, and radius of a circle.

Fantastic Five Glencoe Lesson 7-4 Unitedstreaming.com Grade 6 –

Search circumference—1 choice6-5.2 Apply strategies and formulas with

an approximation of pi (3.14, or ) to find the circumference and area of a circle.


Pages 235 – 240 Glencoe Lesson 7-4 Glencoe Lesson 10-3 Lesson 10-3 Power Point Circle Study Guide Circle Test

6-5.3 Generate strategies to determine the surface area of a rectangular prism and a cylinder.


Pages 212 – 219 Glencoe Lesson 10-6 Lesson 10-6 Power Point

6-5.4 Apply strategies and procedures toestimate the perimeters and areas ofirregular shapes.

Fantastic Five PACT Workbook Pages 67 - 68

6-5.5 Apply strategies and procedures of combining and subdividing to find the perimeters and areas of irregular shapes.


165 Buckle Down PACT Pages 169 –

1716-5.6 Use proportions to determine unitrates.

Fantastic Five

6-5.7 Use a scale to determine distance. Fantastic Five Buckle Down PACT Pages 152 –

1536-5.7 Use a scale to determine distance. Fantastic Five

PACT Workbook Pages 75 - 76 Challenge the PACT Workbook

Pages 196 – 198

Glencoe Lesson 8-3 Lesson 8-3 Power Point

Additional Measurement Indicators Fantastic Five PACT Workbook Pages 61 - 62,

62 – 63, 65 – 66, 69 – 70, 71 – 72, 73 - 74

GRADE 6 ADVANCED MATH GUIDE FOR GTData Analysis and Probability

Standard 6-6: The student will demonstrate through the mathematical processes an understanding of the relationships within one population or sample.


6-6.1 Predict the characteristics of onepopulation based on the analysis of sample data.

Fantastic Five Navigating through Data Analysis

Chapter 4 Navigating through Probability

Chapter 3 Unitedstreaming.com Grade 6 –

IVB2 Page 10 of 10 (1 lesson)6-6.2 Organize data in frequency tables, histograms, or stem-and-leaf plots as appropriate.


Chapters 1 and 2 Buckle Down PACT Pages 193 –

196 Glencoe Lesson 2-1 Glencoe Lesson 2-2 Glencoe Lesson 2-6 Lesson 2-2 Power Point Unitedstreaming.com Grade 6 –

IB1 Page 9 of 10 (5 lessons)6-6.3 Analyze which measure of central tendency (mean, median, or mode) is the most appropriate for a given purpose.


Chapter 2 Buckle Down PACT Pages 185 –

190 Challenge the PACT Workbook

Pages257 – 268 Glencoe Lesson 2-7 (teacher

integrate own questions) Lesson 2-7 Power Point Mean, Median, Mode Power Point Unitedstreaming.com Grade 6 –

IIA1 Page 9 of 10 (2 lessons)6-6.4 Use theoretical probability to determine the sample space and probability for one- and two-stage events such as tree diagrams, models, lists, charts, and pictures.

Fantastic Five Navigating through Probability

Chapters 1, 2, 3, and 4 Buckle Down PACT Pages 199 –

201 Buckle Down PACT Pages 204 –

207 Challenge the PACT Workbook

Pages 269 - 277 Glencoe Lesson 13-1 Glencoe Lesson 13-4 Lesson 13-1 Power Point Lesson 13-4 Power Point Unitedstreaming.com Grade 6 –

IIIB Page 9 of 10 (2 lessons) Unitedstreaming.com Grade 6 –

IVB1 Page 10 of 10 (1 lesson)6-6.5 Apply procedures to calculate the probability of complementary events.

Fantastic Five Navigating through Probability

Chapter 4 Buckle Down PACT Pages 202 -

203

Unitedstreaming.com Grade 6 –Data Analysis and Probability Standard 6-6Search statistics and data analysis—1 choice

BrainPop

6-2.8HREF="http://www.brainpop.com/math/problemsolving/primefactorization/"

6-3.2HREF="http://www.brainpop.com/math/problemsolving/orderofoperations/"

6-3.3HREF="http://www.brainpop.com/math/algebra/equationswithvariables/"

6-3.5HREF="http://www.brainpop.com/math/algebra/solvingequations/"

6-4.1HREF="http://www.brainpop.com/math/geometry/coordinateplane/"

6-4.4 & 6-4.5HREF="http://www.brainpop.com/math/geometry/transformation/"

6-5.2HREF="http://www.brainpop.com/math/geometry/pi/"

6-6.4HREF="http://www.brainpop.com/math/dataanalysisandprobability/basicprobability/experiment/"HREF="http://www.brainpop.com/math/dataanalysisandprobability/meanmedianmodeandrange/"HREF="http://www.brainpop.com/math/dataanalysisandprobability/probabilityofcompoundevents/"HREF="http://www.brainpop.com/math/dataanalysisandprobability/gametheory/"

Grade 7 Advanced Math Guide for GTGrade 7 Advanced Math Guide for GTOverviewOverview

This overview provides only the highlights of the new learning that should take place at the seventh-grade level. The specific skills and subject matter that seventh graders should be taught in each of the five mathematical strands are set forth in the formal standards and indicators for these strands. To alert educators as to when the progression in learning should occur for students in this grade, specific language is used with certain indicators:




Highlights of the new learning for grade-seven students are understanding fractional percentages and percentages greater than 100; understanding the concept of square roots and the inverse relationship between

squaring and finding square roots of perfect squares; understanding the meaning of absolute value; generating strategies to add, subtract, multiply, and divide integers; applying an algorithm to multiply and divide fractions and decimals; using inverse operations to solve two-step equations and inequalities; classifying and explaining proportional relationships; translating between two- and three-dimensional representations of compound figures; creating tessellations with transformations and explaining the angle-measure

relationships among shapes that tessellate; applying strategies and formulas to determine the surface area and volume of three-

dimensional shapes; using one-step unit analysis to convert between and within U.S. Customary System

and the metric system; and applying procedures to calculate the interquartile range and the probability of

mutually exclusive events.

GRADE 7 ADVANCED MATH GUIDE FOR GT

Mathematical Processes




Indicators

7-1.1 Generate and solve complex abstract problems that involve modeling physical, social, or mathematical phenomena.



represent the same relationship. 7-1.5 Generalize mathematical statements based on inductive and deductive reasoning.7-1.6 Use correct and clearly written or spoken words, variables, and notation to





Standard 7-2: The student will demonstrate through the mathematical processes an understanding of the representation of rational numbers, percentages, and square roots of perfect squares; the application of ratios, rates, and proportions to solve problems; accurate, efficient, and generalizable methods for operations with integers; the multiplication and division of fractions and decimals; and the inverse relationship between squaring and finding the square roots of perfect squares.


7-2.1 Understand fractional percentages And percentages greater than one hundred.

Fantastic FivePre-algebra Lesson 9-7Group Activity Card 9-7PACT wkbk pages 1 & 2 and 7 & 8

7-2.2 Represent the location of rationalnumbers and square roots of perfect squares on a number line.

Fantastic FivePre-algebra Lesson 13-1Group Activity Card 13-1Pre-algebra Enrichment Workbook page 108 PACT wkbk pages 3 & 4

7-2.3 Compare rational numbers,percentages, and square roots of perfect squares by using the symbols ≤, ≥, <, >, and =.

Fantastic FiveGlencoe Lesson 5-1Pre-algebra Lesson 13-3Group Activity Card 13-3Glencoe Lesson 4-10Pre-algebra Enrichment Workbook, page 110PACT workbook, pages 5 & 6

7-2.4 Understand the meaning of absolute value.

Fantastic FiveGlencoe Lesson 5-1Pre-algebra Lesson 2-1Group Activity Card 2-1

7-2.5 Apply ratios, rates, and proportions to discounts, taxes, tips, interest, unit costs, and similar shapes.

Fantastic FiveGlencoe Lesson 8-1Pre-algebra Lesson 9-1Group Activity Card 9-1Glencoe Lesson 8-2Pre-algebra Lesson 9-9Group Activity Card 9-9Glencoe Lesson 8-2Pre-algebra Lesson 9-9Group Activity Card 9-9

Glencoe Lesson 8-3Pre-algebra Lesson 11-6Group Activity Card 11-6Glencoe Lesson 11-6Glencoe Lesson 11-7PACT workbook, pages 9 & 10 , 31 & 32, 51, and 52

7-2.6 Translate between standard form and exponential form.

Fantastic FiveGlencoe Lesson 1-4Pre-algebra Lesson 4-2 Graphing Calculator Activity – pre-algebra Lesson4-2B Glencoe Lesson 2-5 Group Activity Card 4-2PACT workbook, pages 11 & 12

7-2.7 Translate between standard form and scientific notation.

Fantastic FiveGlencoe Lesson 2-9Pre-algebra Lesson 6-9PACT workbook (8th), pages 7 & 8

7-2.8 Generate strategies to add, subtract, multiply, and divide integers

Fantastic FiveGlencoe Lesson 5-1Pre-algebra Lesson 2-4Group Activity Card 2-4Pre-algebra Enrichment Workbook, page 14Glencoe Lesson 5-4Pre-algebra Lesson 2-5Pre-algebra Hands-on Activity Lesson2-5AGroup Activity Card 2-5 Glencoe Lesson 5-5Pre-algebra Lesson 2-7Pre-algebra Enrichment Workbook page 17Group Activity Card 2-7Glencoe Lesson 5-6Pre-algebra Lesson 2-8Group Activity Card 2-8Glencoe Lesson 5-7PACT workbook, pages 23 & 24, 25 & 26, 27, and 28

7-2.9 Apply an algorithm to multiply and divide fractions and decimals.

Fantastic FiveGlencoe Lesson 2-4Pre-algebra Lesson 6-3 Pre-algebra Enrichment Workbook Page

47Group Activity Card 6-3Glencoe Lesson 2-6Pre-algebra Lesson 6-4Pre-algebra Enrichment Workbook Page 48Group Activity Card 6-4Glencoe Lesson 7-4 Pre-algebra Lesson 6-5Pre-algebra Enrichment Workbook Page 49Group Activity Card 6-5Glencoe Lesson 7-9PACT workbook (8th) pages 1 & 2 , 13 & 14

7-2.10 Understand the inverse relationship between squaring and finding the square roots of perfect squares.

Fantastic FiveGlencoe Lesson 10-1Pre-algebra Lesson 13-1


Standard 7-3: The student will demonstrate through the mathematical processes an understanding of proportional relationships.


7-3.1 Analyze geometric patterns and pattern relationships.

Fantastic FivePre-algebra Lesson 5-9 and 6-8PACT workbook, pages 33 & 34

7-3.2 Analyze tables and graphs to describe the rate of change between and among quantities.

Fantastic FivePre-algebra Lesson 8-5Activity: Chapter 3 (pages 41-43) of Navigating Through AlgebraPACT workbook pages 35 & 36, 37 & 38, 41 & 42

7-3.3 Understand slope as a constant rate of change.

Fantastic FivePre-algebra Lesson 8-6Activity: Chapter 2 (pages 25-26) and Chapter 3 (44-58) of Navigating Through AlgebraPre-algebra Lesson 8-3, Problem # 6 Graphing Calculator ActivityPACT workbook pages 43 & 44

7-3.4 Use inverse operations to solve two-step equations and two-step inequalities.

Fantastic FiveGlencoe Lesson 6-1 (review)Pre-algebra Lesson 7-2Activity: Chapter 4 (63-64) of Navigating Through AlgebraGlencoe Lesson 6-2 (review)Pre-algebra Lesson 7-6Activity: Chapter 4 (65-70) of Navigating Through AlgebraGlencoe Lesson 6-5 (review)Pre-algebra Lesson 8-9A Graphing Calculator ActivityPACT workbook (8th) pages 35 & 36

7-3.5 Represent on a number line the solution of a two-step inequality.

Fantastic FiveGlencoe Lesson 6-5 (review)Pre-algebra Lesson 7-7 (review)

7-3.6 Represent proportional relationships with graphs, tables, and equations.

Fantastic Five Glencoe Lesson 6-7Pre-algebra Lesson 8-12 Activities: Chapter 1 of Navigating

Through AlgebraGlencoe Lesson 8-9Pre-algebra Lesson 9-9Activity: Chapter 2 (pages 21-23) of Navigating Through Algebra

7-3.7 Classify relationships as eitherdirectly proportional, inversely proportional, or nonproportional.

Fantastic FiveAlgebra Lesson 5-2Algebra Lesson 12-1PACT wkbk (8th) pages 21 & 22


Standard 7-4: The student will demonstrate through the mathematical processes an understanding of proportional reasoning, tessellations, the use of geometric properties to make deductive arguments. the results of the intersection of geometric shapes in a plane, and the relationships among angles formed when a transversal intersects two parallel lines.


7-4.1 Analyze geometric properties and the relationships among the properties of triangles, congruence, similarity, and transformations to make deductive arguments.

Fantastic FiveGlencoe Lesson 5-8Pre-algebra Lesson 11-9Activity: Chapter 4 page 77 Navigating Through GeometryPACT workbook pages 65 & 66PACT workbook pages 67 & 68

7-4.2 Explain the results of the intersection of two or more geometric shapes in a plane.

Fantastic Fivewww.euclideanspace.com/threed/animation/collisiondetect/index.htm

7-4.3 Illustrate the cross section of a solid.

Fantastic FiveActivity: Chapter 4 (67-68) Navigating Through Geometry

7-4.4 Translate between two- and three-dimensional representations of compound figures.

Fantastic FiveActivity: Chapter 4 (69-72) Navigating Through GeometryPACT workbook (8th) pages 59 & 60

7-4.5 Analyze the congruent andsupplementary relationships—specifically, alternate interior, alternate exterior, corresponding, and adjacent—of the angles formed by parallel lines and a transversal.

Fantastic FivePre-algebra Lesson 11-3PACT workbook (8th) pages 57 & 58

7-4.6 Compare the areas of similar shapesAnd the areas of congruent shapes.

Fantastic FivePACT workbook (8th) pages 43 & 44Power point: www.worldofteaching.com/

7-4.7 Explain the proportionalrelationship among attributes of similar shapes.

Fantastic FiveGlencoe Lesson 9-3

http://www.worldofteaching.com/

http://www.euclideanspace.com/threed/animation/collisiondetect/index.htm

http://www.euclideanspace.com/threed/animation/collisiondetect/index.htm

7-4.8 Apply proportional reasoning tofind missing attributes of similar shapes.

Fantastic FivePre-algebra Lesson 11-6PACT workbook pages 59 & 60

7-4.9 Create tessellations with transformations.

Fantastic FiveGlencoe Lesson 9-5 Activity: Chapter 3 Navigating ThroughGeometryPACT workbook pages 77 & 78

7-4.10 Explain the relationship of the anglemeasurements among shapes that tessellate.

Fantastic FiveSee Chapter 3 of Navigating Through Geometry


Standard 7-5: The student will demonstrate through the mathematical processes an understanding of how to use ratio and proportion to solve problems involving scale factors and rates and how to use one-step unit analysis to convert between and within the U.S. Customary System and the metric system.


7-5.1 Use ratio and proportion to solve problems involving scale factors and rates.

Fantastic FivePre-algebra Lesson 12-8BPre-algebra Lesson 11-7Activity: Chapter 3 (48-49) Navigating Through GeometryActivity: Pre-algebra page 605

7-5.2 Apply strategies and formulas to determine the surface area and volume of the three-dimensional shapes prism, pyramid, and cylinder.

Fantastic FiveGlencoe Lesson 12-2Pre-algebra Lesson 12-5Glencoe Lesson 12-3Pre-algebra Lesson 12-6Glencoe Lesson 12-4Pre-algebra Lesson 12-7Glencoe Lesson 12-5Pre-algebra Lesson 12-8PACT workbook pages 87 & 88, 91 & 92, 97 & 98

7-5.3 Generate strategies to determine the perimeters and areas of trapezoids.


Pre-algebra Lesson 12-1

Activity: Chapter 4 (73-76) Navigating Through Geometry

Pre-algebra Lesson 3-5B Graphing Calculator Activity

PACT workbook (8th) pages 73 & 74

7-5.4 Recall equivalencies associated with length, mass and weight, and liquid volume:1 square yard = 9 square feet, 1 cubic meter = 1 million cubic centimeters,

Fantastic FivePre-algebra Lesson 7-8Glencoe Lesson 7-5Glencoe Course 3 Lesson 11-7

www.regentsprep.org/REgents/math/meteng/MetEng.htm

http://www.regentsprep.org/REgents/math/meteng/MetEng.htm

http://www.regentsprep.org/REgents/math/meteng/MetEng.htm

1 kilometer = mile, 1 inch = 2.54 centimeters; 2.2 kilograms = 1 pound; and1.06 quarts = 1 liter.

www.thefarm.org/charities/

www.gillespie.macoupin.k12.il.us/metricconversions.htm

PACT workbook pages 81 & 82, 83 & 84

7-5.5 Use one-step unit analysis to convert between and within the U.S. Customary System and the metric system.


Glencoe Lesson 7-5

PACT wkbk (8th) pages 69 & 70

http://www.gillespie.macoupin.k12.il.us/metricconversions.htm

http://www.gillespie.macoupin.k12.il.us/metricconversions.htm

http://www.thefarm.org/charities/


Standard 7-6: The student will demonstrate through the mathematical processes an understanding of the relationships between two populations or samples.


7-6.1 Predict the characteristics of two populations based on the analysis of sample data.


7-6.2 Organize data in box plots or circle graphs as appropriate.

Fantastic FiveGlencoe Lesson 3-6APre-algebra Lesson 10-3Glencoe Lesson 3-6Pre-algebra Lesson 11-2Glencoe Lesson 11-3PACT workbook pages 105 & 106, 107 & 108

7-6.3 Apply procedures to calculate the interquartile range.

Fantastic FiveGlencoe Lesson 3-6Pre-algebra Lesson 10-2PACT workbook page 109

7-6.4 Interpret the interquartile range for data.

Fantastic FiveGlencoe Lesson 3-6PACT workbook page 110

7-6.5 Apply procedures to calculate the probability of mutually exclusive simple or compound events.


7-6.6 Interpret the probability of mutually exclusive simple or compound events.

Fantastic FiveGlencoe Lesson 13-4PACT workbook pages 121 & 122PACT workbook (8th)pages 99 & 100

7-6.7 Differentiate between experimental and theoretical probability of the same event.

Fantastic FiveGlencoe Lesson 13-1Pre-algebra Lesson 10-8PACT workbook pages 117 & 118PACT workbook (8th) pages 97 & 98

7-6.8 Use the fundamental counting principle to determine the number of possible outcomes for a multistage event.

Fantastic FiveGlencoe Lesson 13-3Pre-algebra Lesson 10-6Pre-algebra Lesson 10-9 Technology ActivityPACT workbook pages 119 & 120

Grade 8 Advanced Math Guide for GTGrade 8 Advanced Math Guide for GT

OverviewOverview

This overview provides only the highlights of the new learning that should take place at the seventh-grade level. The specific skills and subject matter that seventh graders should be taught in each of the five mathematical strands are set forth in the formal standards and indicators for these strands. To alert educators as to when the progression in learning should occur for students in this grade, specific language is used with certain indicators:




Highlights of the new learning for grade-eight students are applying an algorithm to add, subtract, multiply, and divide integers; understanding the concept of irrational numbers; applying procedures to approximate square and cube roots; applying procedures to solve multistep equations; classifying relationships between two variables as either linear or nonlinear; identifying the coordinates of the x- and y-intercepts of a linear equation; understanding slope as a constant rate of change; applying the Pythagorean theorem; using ordered pairs, equations, intercepts, and intersections to locate points and lines

in a coordinate plane; applying a dilation on a square, rectangle, or right triangle in a coordinate plane and

analyzing the effect; applying strategies and formulas to determine volume of three-dimensional shapes; using multistep unit analysis to convert between and with the U.S. Customary System

and the metric system; andapplying procedures to compute the odds of a given event.

GRADE 8 ADVANCED MATH GUIDE FOR GT

Mathematical Processes




Indicators

8-1.1 Generate and solve complex abstract problems that involve modeling physical, social, or mathematical phenomena.



represent the same relationship. 8-1.5 Generalize mathematical statements based on inductive and deductive reasoning.8-1.6 Use correct and clearly written or spoken words, variables, and notations to





Standard 8-2: The student will demonstrate through the mathematical processes an understanding of operations with integers, the effects of multiplying and dividing with rational numbers, the comparative magnitude of rational and irrational numbers, the approximation of cube and square roots, and the application of proportional reasoning.


8-2.1 Apply an algorithm to add, subtract, multiply, and divide integers.

Fantastic FiveInteger Bingo ActivityUnited Streaming, Power of Algebra: Positive and Negative NumbersGlencoe Pre-Algebra 2-4, 2-5, 2-7, and 2-8Magic Squares ActivityIntegers BingoPact Workbook, p.1-2Challenge the Pact, p.104-113

8-2.2 Understand the effect of multiplying and dividing a rational number by another rational number.

Fantastic FiveUnited Streaming, Discovering Math: Rational Numbers ConceptsGlencoe Pre-Algebra 6-3, 6-4, and 6-5Menu ActivityChallenge the Pact, p.26-36, 41-47 and 63-66

8-2.3 Represent the approximate location of irrational numbers on a number line.

Fantastic FiveTransparenciesPact Workbook, p.3-4Challenge the Pact, p.94-96

8-2.4 Compare rational and irrational numbers by using the symbols ≤, ≥, <, >, and =.

Fantastic FiveBirthday Post-it Note ActivityGlencoe Pre-Algebra, Lesson 2-3 (Powerpoint)Glencoe Pre-Algebra, Lesson 5-1Buckle Down Pact, Lesson 1 p.9-18Fraction and Decimal BingoPact Workbook, p.3-4Challenge the Pact, p.39

8-2.5 Apply the concept of absolute value.

Fantastic FiveName Value ActivityChallenge the Pact, p.101-103

8-2.6 Apply strategies and procedures to approximate between two whole

Fantastic FiveGlencoe Pre-Algebra, Lesson 13-1 and 13-

numbers the square roots or cube roots of numbers less than 1,000.

1 EnrichmentPact Workbook, p.11-12Pact Coach, Lesson 7Challenge the Pact, p.154-155

8-2.7 Apply ratios, rates, and proportions.

Fantastic FiveGlencoe Pre-Algebra 9-5Pact Workbook, p.19-20Pact Workbook,p.21-22Pact Coach, Lesson 3Challenge the Pact, p.134-138Buckle Down Pact, p.39-50


Standard 8-3: The student will demonstrate through the mathematical processes an understanding of equations, inequalities, and linear functions.

* See Attached list of United Streaming Videos for Algebra


8-3.1 Translate among verbal, graphic, tabular, and algebraic representations of linear functions.

Fantastic FiveLinear Circle Activity

8-3.2 Represent algebraic relationships with equations and inequalities.

Fantastic FiveGlencoe Pre-Algebra, Lesson 7-3Glencoe Pre-Algebra, Lesson 7-7Challenge the Pact, p.129-133Buckle Down Pact, p.62-64

8-3.3 Use commutative, associative, and distributive properties to examine the equivalence of a variety of algebraic expressions.

Fantastic FiveMake a FoldableGlencoe Pre-Algebra, Lesson 1-5Glencoe Pre-Algebra, Lesson 1-6Property Concentration GamePact Workbook, p.9-10Pact Coach, Lesson 2Challenge the Pact, p.97-100

8-3.4 Apply procedures to solve multistep equations.

Fantastic FiveGlencoe Pre-Algebra, Lesson 7-2Glencoe Pre-Algebra, Lesson 7-3Glencoe Pre-Algebra, Lesson 7-5Pact Coach, Lesson 13Challenge the Pact, p.114-128Buckle Down Pact, p.56-61

8-3.4 Apply procedures to solve multistep equations.

Fantastic FiveMath JeopardyMagic Square Activity

8-3.5 Classify relationships between two variables in graphs, tables, and/or equations as either linear or nonlinear.

Fantastic FiveGlencoe Pre-Algebra, Lesson 8-3Pact Workbook, p.25-26, 37-38, and 39-40Buckle Down Pact, p.80-84

8-3.6 Identify the coordinates of the x- and y-intercepts of a linear equation from a graph, equation, and/or

Fantastic FiveGlencoe Pre-Algebra, Lesson 8-7Buckle Down Pact, p.85-92

table.

8-3.7 Identify the slope of a linear equation from a graph, equation, and/or table.

Fantastic FiveI Have…Who Has? ActivityRolling Race Cars ActivityBarbie Bungee ActivityBuckle Down Pact, p.71-79


Standard 8-4: The student will demonstrate through the mathematical processes an understanding of the Pythagorean theorem; the use of ordered pairs, equations, intercepts, and intersections to locate points and lines in a coordinate plane; and the effect of a dilation in a coordinate plane.


8-4.1 Apply the Pythagorean Theorem. Fantastic FiveSafari Montage, The Pythagorean TheoremKite Flying ActivityPact Coach, Lesson 20Challenge the Pact, p.158-163Buckle Down Pact, p.100-107Pact Workbook, p.47-50

8-4.2 Use ordered pairs, equations, intercepts, and intersections to locate points and lines in a coordinate plane.

Fantastic FiveGlencoe Pre-Algebra, Lesson 1-7Glencoe Pre-Algebra, Lesson 2-2Pact Workbook, p.51-52

8-4.3 Apply a dilation to a square, rectangle, or right triangle in a coordinate plane.

Fantastic FiveUnited Streaming: Discovery Math, Geometry Grades 6 – 8 ( section on Geometric Transformations)Comic Strip Poster Drawing ActivityPact Workbook, p.53-54

8-4.4 Analyze the effect of a dilation on a square, rectangle, or right triangle in a coordinate plane.

Fantastic FiveGlencoe Pre-Algebra, Lesson 11-6 (Hands-On Activity only)


Standard 8-5: The student will demonstrate through the mathematical processes an understanding of the proportionality of similar figures; the necessary levels of accuracy and precision in measurement; the use of formulas to determine circumference, perimeter, area, and volume; and the use of conversions within and between the U.S. Customary System and the metric system.


8-5.1 Use proportional reasoning and the properties of similar shapes to determine the length of a missing side.

Fantastic FiveGlencoe Pre-Algebra, Lesson 11-6Shadows Measure Height ActivityPact Coach, Lesson 24Challenge the Pact, p.138-140Buckle Down Pact, p.123-124Pact workbook, p.77-78

8-5.2 Explain the effect on the area of two-dimensional shapes and on the volume of three-dimensional shapes when one or more of the dimensions are changed.

Fantastic FivePact Coach, Lesson 19Challenge the Pact, p.195-209 and 218-228Buckle Down Pact, p.154-160Pact workbook, p.61-62Cord Bridges, p.299-301 (worksheet)

8-5.3 Apply strategies and formulas to determine the volume of the three-dimensional shapes cone and sphere.

Fantastic FiveChristmas Greeting Card Box Activity Pact Coach, Lesson 21

8-5.4 Apply formulas to determine the exact (pi) circumference and area of a circle.

Fantastic FiveChristmas Ornament ActivityChallenge the Pact, p.229-234

8-5.5 Apply formulas to determine the perimeters and areas of trapezoids.

Fantastic FiveGlencoe Pre-Algebra, Lesson 12-1Challenge the Pact, p.195-209 and 218-228Buckle Down Pact, p.144-145Pact workbook, p.73-74

8-5.6 Analyze a variety of measurement situations to determine the necessary level of accuracy and precision.

Fantastic FiveUnited Streamline, Discovery Math Measurement

8-5.7 Use multistep unit analysis to Fantastic Five

convert between and within U.S. Customary System and the metric system.

Dimensional Analysis PowerpointPact workbook, p.69-70Pact Coach, Lesson 23Buckle Down Pact, p.135-139Pact workbook, p.69-70


Standard 8-6: The student will demonstrate through the mathematical processes an understanding of the relationships between two variables within one population or sample.


8-6.1 Generalize the relationship between two sets of data by using scatterplots and lines of best fit.

Fantastic FiveGlencoe Pre-Algebra, Lesson 8-2Challenge the Pact, p.312-316Pact workbook, p.91-92

8-6.2 Organize data in matrices or scatterplots as appropriate.

Fantastic FivePowerpointPact Coach, Lesson 26Challenge the Pact, p.312-316Buckle Down Pact, p.168-172Pact workbook, p.81-84

8-6.3 Use theoretical and experimental probability to make inferences and convincing arguments about an event or events.

Fantastic FiveMother’s Day Card ProjectProbability Simulation ActivitiesPact Coach, Lesson 29Buckle Down Pact, p.184-185 and 188-190Pact workbook, p.97-98

8-6.4 Apply procedures to calculate the probability of two dependent events.

Fantastic FivePowerpointPact Coach, Lesson 30Buckle Down Pact, p.186-187Pact workbook, p.99-100

8-6.5 Interpret the probability for two dependent events.

Fantastic FiveGlencoe Pre-Algebra, Lesson 10-9Challenge the Pact, p.283-291Pact workbook, p.99-100

8-6.6 Apply procedures to compute the odds of a given event.

Fantastic FiveGlencoe Pre-Algebra, Lesson 10-7Pact Coach, Lesson 32Buckle Down Pact, p.182-183Pact workbook, p.101-102

8-6.7 Analyze probability using area models.

Fantastic FiveGlencoe Pre-Algebra 12-3Chalk and Pennies ActivityPact Coach, Lesson 31Buckle Down Pact, p.191-192Pact workbook, p.65-66

8-6.8 Interpret graphic and tabular data representations by using range and the measures of central tendency (mean, median, and mode).

Fantastic FiveGlencoe Pre-Algebra, Lesson 6-62-D Model of an Average StudentPact Coach, Lessons 25 and 27Challenge the Pact, p.269-282Buckle Down Pact, p.164-167

* United Streaming Algebra Titles:Adventurous World of Algebra Program 3: Linear EquationsPumped up World of Pre Algebra Program 4Pumped up World of Pre-Algebra Program 5Math Mastery: EquationsLinear Equating : y=mx + b Operation Algebra : Linear Equations: AX + BY = CDiscovering Math:Algebra (Grades 6 – 8)Operation Algebra: Introduction to Linear Relations

Elementary AlgebraElementary Algebra

OverviewOverview

The academic standards for the elementary algebra core area establish the process skills and core content for Algebra 1, Mathematics for the Technologies 1, and Mathematics for the Technologies 2, which should provide students with the mathematics skills and conceptual understanding necessary for them to further their mathematical education or to pursue mathematics-related technical careers. These standards will be the basis for the development of the items on the state-required end-of-course examination for Algebra 1 and Mathematics for the Technologies 2.

The content of the elementary algebra standards encompasses the real number system; operations involving exponents, matrices, and algebraic expressions; relations and functions; writing and solving linear equations; graphs and characteristics of linear equations; and quadratic relationships and functions. Teachers, schools, and districts should use the elementary algebra standards to make decisions concerning the structure and content of Algebra 1, Mathematics for the Technologies 1, and Mathematics for the Technologies 2. Content in these three courses may go beyond the elementary algebra standards.

All courses based on the academic standards for elementary algebra must include instruction using the mathematics process standards, allowing students to engage in problem solving, decision making, critical thinking, and applied learning. Educators must determine the extent to which such courses or individual classes may go beyond these standards. Such decisions will involve choices regarding additional content, activities, and learning strategies and will depend on the objectives of the particular courses or individual classes.

In all courses based on the elementary algebra standards, hand-held graphing calculators are required for instruction and assessment. Students should learn to use a variety of ways to represent data, to use a variety of mathematical tools such as graph paper, and to use technologies such as graphing calculators to solve problems.

Note: The term including appears in parenthetical statements in the high school mathematics indicators to introduce a list of specifics that are intended to clarify and focus the teaching and learning of the particular concept. That is, within these parenthetical including statements are specified the components of the indicator that are critical for the particular core area with regard both to the state assessments and to the management of time in the classroom. While instruction must focus on the entire indicator, educators must be certain to cover the components specified in the parenthetical including statements.

HIGH SCHOOL CORE AREAElementary Algebra

The mathematical processes provide the framework for teaching, learning, and assessing in all high school mathematics core courses. Instructional programs should be built around these processes.

Standard EA-1: The student will understand and utilize the mathematical processes of problem solving, reasoning and proof, communication, connections, and representation.

Indicators

EA-1.1 Communicate a knowledge of algebraic relationships by using mathematical terminology appropriately.

EA-1.2 Connect algebra with other branches of mathematics. EA-1.3 Apply algebraic methods to solve problems in real-world contexts.EA-1.4 Judge the reasonableness of mathematical solutions.EA-1.5 Demonstrate an understanding of algebraic relationships by using a variety of

representations (including verbal, graphic, numerical, and symbolic).EA-1.6 Understand how algebraic relationships can be represented in concrete models,

pictorial models, and diagrams.EA-1.7 Understand how to represent algebraic relationships by using tools such as

handheld computing devices, spreadsheets, and computer algebra systems (CASs).


Standard EA-2: The student will demonstrate through the mathematical processes an understanding of the real number system and operations involving exponents, matrices, and algebraic expressions.


EA-2.1 Exemplify elements of the real number system (including integers, rational numbers, and irrational numbers).

Glencoe Algebra I, Lesson 2-7

EA-2.2 Apply the laws of exponents and roots to solve problems.

Glencoe Algebra I, Lesson 2-7 and Chapter 8

EA-2.3 Carry out a procedure to perform operations (including multiplication and division) with numbers written in scientific notation.


EA-2.4 Use dimensional analysis to convert units of measure within a system.


EA-2.5 Carry out a procedure using the properties of real numbers (including commutative, associative, and distributive) to simplify expressions.

Glencoe Algebra I, Lesson 1-5 and 1-6

EA-2.6 Carry out a procedure to evaluate an expression by substituting a value for the variable.

Glencoe Algebra I, Lesson 1-1, 1-2

EA-2.7 Carry out a procedure (including addition, subtraction, multiplication, and division by a monomial) to simplify polynomial expressions.

Glencoe Algebra I, Chapter 8

EA-2.8 Carry out a procedure to factor binomials, trinomials, and polynomials by using various techniques (including the greatest common factor, the difference between two squares, and quadratic trinomials).


EA-2.9 Carry out a procedure to perform operations with matrices (including addition, subtraction, and scalar multiplication).


EA-2.10 Represent applied problems by using matrices.



Standard EA-3: The student will demonstrate through the mathematical processes an understanding of relationships and functions.

IndicatorsIndicators Lesson Plans

EA-3.1 Classify a relationship as being either a function or not a function when given data as a table, set of ordered pairs, or graph.


EA-3.2 Use function notation to represent functional relationships.


EA-3.3 Carry out a procedure to evaluate a function for a given element in the domain.


EA-3.4 Analyze the graph of a continuous function to determine the domain and range of the function.


EA-3.5 Carry out a procedure to graph parent functions (including

).

Graphing Calculator Activity

EA-3.6 Classify a variation as either direct or inverse.


EA-3.7 Carry out a procedure to solve literal equations for a specified variable.


EA-3.8 Apply proportional reasoning to solve problems.



Standard EA-4: The student will demonstrate through the mathematical processes an understanding of the procedures for writing and solving linear equations and inequalities.


EA-4.1 Carry out a procedure to write an equation of a line with a given slope and a y-intercept.


EA-4.2 Carry out a procedure to write an equation of a line with a given slope passing through a given point.


EA-4.3 Carry out a procedure to write an equation of a line passing through two given points.


EA-4.4 Use a procedure to write an equation of a trend line from a given scatterplot.


EA-4.5 Analyze a scatterplot to make predictions.


EA-4.6 Represent linear equations in multiple forms (including point-slope, slope-intercept, and standard).

Glencoe Algebra I, Lesson 4-5, 5-4 and 5-5

EA-4.7 Carry out procedures to solve linear equations for one variable algebraically.


EA-4.8 Carry out procedures to solve linear inequalities for one variable algebraically and then to graph the solution.


EA-4.9 Carry out a procedure to solve systems of two linear equations graphically.


EA-4.10 Carry out a procedure to solve systems of two linear equations algebraically.

Glencoe Algebra I, Lesson 7-2, 7-3, and 7-4


Standard EA-5: The student will demonstrate through the mathematical processes an understanding of the graphs and characteristics of linear equations and inequalities.


EA-5.1 Carry out a procedure to graph a line when given the equation of the line.


EA-5.2 Analyze the effects of changes in the slope, m, and the y-intercept, b, on the graph of y = mx + b.

Glencoe Algebra I, Lesson 5-3GCI

EA-5.3 Carry out a procedure to graph the line with a given slope and a y-intercept.


EA-5.4 Carry out a procedure to graph the line with a given slope passing through a given point.


EA-5.5 Carry out a procedure to determine the x-intercept and y-intercept of lines from data given tabularly, graphically, symbolically, and verbally.


EA-5.6 Carry out a procedure to determine the slope of a line from data given tabularly, graphically, symbolically, and verbally.


EA-5.7 Apply the concept of slope as a rate of change to solve problems.


EA-5.8 Analyze the equations of two lines to determine whether the lines are perpendicular or parallel.


EA-5.9 Analyze given information to write a linear function that models a given problem situation.


EA-5.10 Analyze given information to determine the domain and range of a linear function in a problem situation.


EA-5.11 Analyze given information to write a system of linear equations that models a given problem situation.


EA-5.12 Analyze given information to write a linear inequality in one variable that models a given problem situation.



Standard EA-6: The student will demonstrate through the mathematical processes an understanding of quadratic relationships and functions.


EA-6.1 Analyze the effects of changing the leading coefficient a on the graph of .

Glencoe Algebra I, Lesson 10-1, 10-1 GCI, 10-2, and 10-3 GCI

EA-6.2 Analyze the effects of changing the constant c on the graph of .

Glencoe Algebra I, Lesson 10-1, 10-1 GCI, 10-2, and 10-3 GCI

EA-6.3 Analyze the graph of a quadratic function to determine its equation.

Glencoe Algebra I, Lesson 10-3 GCI

EA-6.4 Carry out a procedure to solve quadratic equations by factoring.


EA-6.5 Carry out a graphic procedure to approximate the solutions of quadratic equations.


EA-6.6 Analyze given information to determine the domain of a quadratic function in a problem situation.

Glencoe Algebra I, Chapter 9, Lesson 10-1, 10-2, 10-3, and 10-4

Documents

Grade 6 - Greenwood School District Math Pacing Guide/6,7,8, GT Math P… · Web viewusing proportions to determine unit rates, using a scale to determine distance, and . applying