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Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Unit 1 – Module 1
The Number System - Integers
(Approximately 5 days)
Highlighted Math Practice
Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources
MAFS.K.12.MP.2.1: Reason abstractly and quantitatively. Click here for video examples from Inside Mathematics MAFS.K.12.MP.4.1: Model with mathematics. Click here for video examples from Inside Mathematics
MAFS.6.NS.3.5: Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.
Identify an integer and its opposite.
Represent real-world quantities with positive and negative integers.
Rainfall Change
Relative Decimals
Relative Fractions
Relative Integers
Go Math – Lessons 1.1
MAFS.6.NS.3.7b: Write, interpret, and explain
statements of order for rational numbers in real-world
contexts. For example, write -3 oC > -7 oC to express
the fact that -3 oC is warmer than -7oC.
Compare and order integers
Graph integers on a number line
Absolute Altitudes
Positions of Numbers
South Pole
Submarines
Visualizing Absolute Value
Go Math – Lessons 1.2
MAFS.6.NS.3.7c: Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation.
Find absolute value of a rational number
Interpret
Absolute Altitudes
Positions of Numbers
South Pole
Submarines
Visualizing Absolute Value
Go Math – Lessons 1.3
Module 1 - Key Vocabulary
Absolute Value Integers Negative Numbers Positive Numbers Opposites Inequality Number Line
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Unit 1 – Module 2
The Number System – Factors and Multiples
(Approximately 4 days )
Highlighted Math Practice
Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources
MAFS.K.12.MP.2.1: Reason abstractly and quantitatively. Click here for video examples from Inside Mathematics
MAFS.6.NS.2.4: Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.
Find the greatest common factor of two whole numbers less than or equal to 100.
Find the least common multiple of two whole numbers less than or equal to 12.
Represent real-world quantities with positive and negative integers.
Greatest Common Factor
Least Common Multiple
Using the Distributive Property
Go Math – Lessons 2.1 & 2.2
Module 2 - Key Vocabulary
Greatest Common Factor Least Common Multiple
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Unit 1 - Module 3
The Number System – Rational Numbers
(Approximately 5 days)
Highlighted Math Practice
Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources
MAFS.K.12.MP.3.1: Construct viable arguments and critique the reasonableness of others. Click here for video examples from Inside Mathematics
MAFS.6.NS.3.6: MAFS.6.NS.3.6a: Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., –(–3) = 3, and that 0 is its own opposite. MAFS.6.NS.3.6c: Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.
Classify whole number, integers, and rational numbers using a visual representation such as a Venn diagram to describe relationships between set of numbers
Identify opposites and absolute values of rational numbers
Explaining Opposites
Graphing on Cartesian Planes
Graphing Points in the Plane
Graphing Points on the Number Line
Locating Quadrants
Point Locations
What is the Opposite
Go Math – Lessons 3.1 & 3.2
MAFS.6.NS.3.7: Understand ordering and absolute value of rational numbers. MAFS.6.NS.3.7a: Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram. For example, interpret -3 > -7 as a statement that -3 is located to the right of -7 on a number line oriented from left to right. MAFS.6.NS.3.7b: Write, interpret, and explain statements of order for rational numbers in real-world contexts. For example, write -30C > -70C to express the fact that -30C is warmer than -70C. MAFS.6.NS.3.7c: Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation. For example, for an account balance of -30 dollars, write |-30| = 30 to describe the size of the debt in dollars.
Compare and order set of rational numbers arising from mathematical and real –world context.
Absolute Altitudes
Positions of Numbers
South Pole
Submarines
Visualizing Absolute Value
Go Math – Lessons 3.3
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Module 3 - Key Vocabulary
Rational Numbers Venn Diagram Absolute Value Whole Number Integers Irrational Number
Unit 2 – Module 4
Number Operation – Fraction
(Approximately 8 days)
Highlighted Math Practice
Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources
MAFS.K.12.MP.4.1:
Model with
mathematics.
MAFS.K.12.MP.5.1: Use
appropriately tools
strategically.
MAFS.6.NS.2.4 Find the greatest common factor of two whole numbers and the least common multiple of two whole numbers … Use the Distributive Property to express the sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers.
Adding fraction and mixed number
Subtraction fraction and mixed number
Multiplying fractions with whole numbers
Greatest Common Factors
Least Common Multiples
Using the Identity Property
Go Math – Lesson 4.1
MAFS.6.NS.1.1: Interpret and compute quotients of fractions and solve word problems involving division of fractions by fractions, …
Multiply fractions
Multiply mixed numbers
Divide fractions
Divide mixed numbers
Solve problems involving multiplication and division of fractions
Contextualizing Fraction Division
Fraction Division
Juicing Fractions
Models of Fraction Division
Go Math – Lesson 4.2, 4.3, 4.4
Module 4 - Key Vocabulary
Quotient Fraction Mixed number Reciprocal Numerator Denominator
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Unit 2 - Module 5
Number Operation- Decimal
(Approximately 10 days )
Highlighted Math Practice
Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources
MAFS.K.12.MP.4.1:
Model with
mathematics. Click here
for video examples from
Inside Mathematics
MAFS.K.12.MP.5.1:
Look for and make use
of structure. Click here
for video examples from
Inside Mathematics
MAFS.6.NS.2.2 Fluently divide mulit-digit numbers using the standard algorithm.
Divide by whole number
Interpret the remainder
Long Division – 1
Long Division – 2
Long Division – 3
Go Math – Lessons 5.1
MAFS.6.NS.2.3: Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation
Add and subtract decimal
multiply decimals
divide decimals
solve problems involving multiplication and division of fractions and decimals
Adding Multidigit Decimals
Dividing Multidigit Decimals
Multiplying Multidigit Decimals
Subtracting Multidigit Decimals
Go Math – Lessons 5.2, 5.3, 5.4, 5.5
Module 5 - Key Vocabulary
Quotient Repeating decimal Terminating decimal
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Unit 3 - Module 6
Proportionality : Ratios and Rates
(Approximately 6 days )
Highlighted Math Practice
Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources
MAFS.K.12.MP.3.1:
Construct viable
arguments and
critique the
reasonableness of
others.
MAFS.K.12.MP.4.1: Model with mathematics MAFS.K.12.MP.6.1:
Attend to precision
MAFS.6.RP.1.1: Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.
represent ratios with concrete models
write ratios and find equivalent ratios
Comparing Rectangles
Comparing Time
Interpreting Ratio
Writing Ratios
Go Math – Lessons 6.1
MAFS.6.RP.1.2: Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship.
use rates and unit rates to compare quantities Book Rates
Explaining Rates
Identifying Unit Rates
Writing Unit Rates
Go Math – Lessons 6.2
MAFS.6.RP.1.3: Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations MAFS.6.RP.1.3a: Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables,
apply qualitative and quantitative reasoning to solve prediction and comparison of real-world problems involving ratios and rates
Bargain Breakfast
Comparing Rates
Finding the Whole
Homework Time
Making Coffee
Measurement Conversion
Party Punch – Comparing Rates
Sara’s Hike
The Meaning of Pi
Go Math- Lesson 6.1, 6.2, 6.3
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.
and plot the pairs of values on the coordinate plane. Use tables to compare ratios. MAFS.6.RP.1.3b: Solve unit rate problems including those involving unit pricing and constant speed
Module 6 - Key Vocabulary
Rate Unit rate Ratio Equivalent Ratio
Unit 3 - Module 7
Applying Ratios and Rates and Conversion in Measurement
(Approximately 6 days )
Highlighted Math Practice
Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources
MAFS.K.12.MP.4.1:
Model with
mathematics.
MAFS.K.12.MP.7.1:
Look for and make
use of structure.
MAFS.6.RP.1.3d: Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities
compare additive and multiplicative relationships
represent mathematical and real-world problems involving ratios and rates using tables and graphs
solve problems with proportions
convert units within a measurement system
Measurement Conversion
Party Punch – Comparing Rates
Sara’s Hike
The Meaning of Pi
Go Math – Lesson 7.1, 7.2, 7.3
Omit Go Math- Lesson 7.4
Module 7 - Key Vocabulary
Ratio Rate Proportion Scale Scale Drawing Units
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Unit 3 - Module 8
Proportionality Ratios and Rates Percent
(Approximately 7 days )
Highlighted Math Practice
Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.
MAFS.K.12.MP.2.1:
Reason abstractly
and quantitatively.
MAFS.K.12.MP.4.1:
Model with
mathematics
MAFS.6.RP.1.3 Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. MAFS.6.RP.1.3c Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.
represent percents with concrete models and fractions
generate equivalent forms of fractions, decimals, and percents using real-world problems
solve real-world problems involving percent
Associative and Commutative Expressions
Equal sides, Equivalent Expressions
Generating Equivalent Expressions
Go Math – Lessons 8.1, 8.2, 8.3
Module 8 - Key Vocabulary
Percent Equivalent decimal Proportional reasoning
Unit 4 - Module 9
Equivalent Expressions: Numerical expression
(Approximately 5 days )
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Highlighted Math Practice
Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources
MAFS.K.12.MP.2.1:
Reason abstractly and
quantitatively.
MAFS.K.12.MP.5.1: Use
appropriately tools
strategically.
MAFS.6.EE.1.1: Write and evaluate numerical expressions involving whole-number exponents.
generate equivalent numerical expressions using exponents
generate equivalent numerical expressions using prime factorization
simplify numerical expressions using the order of operations
Cube House
Evaluating Exponents
Paul’s Pennies
Go Math – Lesson 9.1, 9.2, 9.3
Module 9 - Key Vocabulary
Exponent Order of Operation Base Power
Unit 4 - Module 10
Equivalent Expression : Algebraic expression
(Approximately 7 days )
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Highlighted Math Practice
Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources
MAFS.K.12.MP.2.1:
Reason abstractly
and quantitatively.
MAFS.6.EE.1.2a: Write expressions that record operations with numbers and with letters standing for numbers. MAFS.6.EE.1.2b: Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity.
determine if two expressions are equivalent using concrete models, pictorial models, and algebraic representations.
Parts of Expressions
Substitute Resolution
Writing Expressions
Go Math – (Lesson 10.1)
MAFS.6.EE.1.4: Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them).
Equivalent Exponents
Equivalent Expressions
Identifying Equivalent Expressions
MAFS.6.EE.2.6 Use variables to represent numbers and write expressions
when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.
Gavin’s Pocket
Writing Real-World Expressions
MAFS.6.EE.1.2c: Evaluate expressions at specific values of their
variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no
parentheses to specify a particular order (Order of Operations).
evaluate algebraic expressions for the given value of a variable
Parts of Expressions
Substitute Resolution
Writing Expressions
Go Math – (Lesson 10.2)
MAFS.6.EE.1.3: Apply the properties of operations to generate equivalent expressions.
generate equivalent expressions using the properties of operations.
Associative and Commutative Expression
Equal Sides
Equivalent Expressions
Go Math- (Lesson 10.3)
Module 10 - Key Vocabulary
Base Exponent Numerical expression Operations Order of operation Algebraic expression Coefficient
Constant Equivalent expressions Evaluating Simplify Like terms Term Variable
Unit 5 – Module 11
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Equations and Inequalities: Equations and Relationships
(Approximately 10 days )
Highlighted Math Practice
Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources
MAFS.K.12.MP.2.1:
Reason abstractly
and quantitatively.
MAFS.K.12.MP.4.1:
Model with
mathematics.
MAFS.K.12.MP.5.1:
Use appropriately tools
strategically.
MAFS.6.EE.2.5 Understand solving an equation
or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.
write one-variable, one-step equations to represent constraints or conditions within problems
write inequalities
Finding Solutions of Equations
Finding Solutions of Inequalities
Solutions of Equations
Solutions of Inequalities
Go Math – Lessons 11.1, 11.2, 11.3, 11.4
MAFS.6.EE.2.6 Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.
model and solve one-variable, one-step equations that represent problems
Gavin’s Pocket
Writing Real-World Expressions
MAFS.6.EE.2.7 Solve real-world and
mathematical problems by writing and solving equations of the form x + p = q and px = q, for cases in which p, q, and x are all non-negative rational numbers.
write corresponding real-world problems given one-variable, one-step equations
Center Section
Equally Driven
Solar Solutions
University Parking
MAFS.6.EE.2.8 Write an inequality of the form x
> c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.
understand the relationship and plot the relationship with more than one inequality (example 3 < x > -2)
solve two step equations and inequalities
Acres and Altitudes
Rational Number Lines
Roadway Inequalities
Transportation Number Lines
Module 11 - Key Vocabulary
Algebraic expressions Solution Coeffient Inequalities Evaluating Like terms Equivalent expression
Term Properties of operation Variable
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Unit 5 - Module 12
Equation and Inequalities: Relationships in two variables
(Approximately 10 days )
Highlighted Math Practice
Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources
MAFS.K.12.MP.2.1:
Reason abstractly
and quantitatively.
MAFS.K.12.MP.4.1:
Model with
mathematics.
MAFS.6.NS.3.6b: Recognize opposite signs of numbers as
indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself.
Identify and graph in all four quadrants
Explaining Opposites
Graphing on Cartesian Planes
Graphing Points in the Plane
Locating Quadrants
Point Locations
What is the Opposite?
Go Math – (Lessons 12.1)
MAFS.6.NS.3.6c: Find and position integers and other
rational numbers on ... number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.
MAFS.6.NS.3.8: Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.
Describe the location of points. For example five units right and two units up. (also use north, south , east, west)
Bike Lot Coordinates
Garden Area
Garden Coordinates
MAFS.6.EE.3.9: Use variables to represent two
quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.
Analyzing the Relationship
Bicycling Equations
Grinding Equations
Table to Equation
Module 12 - Key Vocabulary
Axis Coordinate plane Dependent variables Independent variables Ordered Pair Coordinate Origin
Quadrant x-axis y-axis y-coordinate x-coordinate
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Unit 6 - Module 13
Geometry : Area and Polygons
(Approximately 8 days )
Highlighted Math Practice
Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources
MAFS.K.12.MP.1.1: Make
sense of problems and
persevere in solving them
MAFS.K.12.MP.2.1: Reason
abstractly and
quantitatively.
MAFS.K.12.MP.3.1:
Construct viable arguments
and critique the
reasonableness of others.
MAFS.K.12.MP.4.1: Model
with mathematics.
MAFS.6.G.1.1: Find the area of triangles, special quadrilaterals, and polygons.
model area formulas for parallelograms, trapezoids, and rhombuses by decomposing and rearranging parts of these shapes
model area formulas for triangles by decomposing and rearranging parts of shapes
write equations that represent problems related to the area of rectangles, parallelograms, trapezoids, and triangles where dimensions are positive rational numbers
write equations that represent problems related to the volume of right rectangular prisms where dimensions are positive rational numbers
Area of Kite
Area of Quadrilateral
Area of Triangle
Lost Key
Swimming Pool Walkway
Go Math – Lesson 13.1, 13.2, 13.3, 13.4
MAFS.6.EE.2.7: Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all non-negative rational numbers.
Center Section
Equally Driven
Solar Solutions
University Parking
Module 13 - Key Vocabulary
Parallelogram Rhombus Trapezoid Triangle Polygon Quadrilateral Rectangular prism
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Unit 6 - Module 14
Geometry: Distance and Area in Coordinate Plane
(Approximately 4 days )
Highlighted Math Practice
Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources
MAFS.K.12.MP.2.1:
Reason abstractly and
quantitatively.
MAFS.K.12.MP.3.1:
Construct viable
arguments and critique
the reasonableness of
others.
MAFS.6.NS.3.6b: Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.
use absolute value to find distances between points in the coordinate plane
solve problems that involve drawing polygons in the coordinate plane and finding the length of a side
Explaining Opposites
Graphing on Cartesian Planes
Graphing Points in the Plane
Locating Quadrants
Point Locations
What is the Opposite?
Go Math -Lessons 14.1, 14.2
MAFS.6.NS.3.8: Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.
Bike Lot Coordinates
Garden Area
Garden Coordinates
MAFS.6.G.1.3: Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.
solve problems that involve drawing polygons in the coordinate plane and finding the length of a side
Fence Length
Patio Area
Polygon Coordinates
Polygon Grid
Module 14 - Key Vocabulary
Area Axis Perimeter Polygon Reflection Vertex Vertices
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Unit 6 - Module 15
Geometry: Surface Area and Volume
(Approximately 10 days )
Highlighted Math Practice
Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources
MAFS.K.12.MP.4.1:
Model with mathematics
MAFS.K.12.MP.6.1:
Attend to precision
MAFS.6.G.1.2: Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas: V = l w h and V =B h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.
Find volume using the volume formula.
Use nets to find surface area
Bricks
Clay Blocks
Moving Truck
Prism Packing
Go Math – Lesson 15.1, 15.2, 15.3
MAFS.6.G.1.4: Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.
Pyramid Project Rust Protection Skateboard Ramp
Windy Pyramid
MAFS.6.EE.2.7: Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all non-negative rational numbers.
Solve equations of the form x + p = q and px = q
Center Section
Equally Driven
Solar Solutions
University Parking
Module 15 - Key Vocabulary
Net Base Height Rectangular prism Volume Pyramid Surface area
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Unit 7- Module 16
Measurement and Data: Summarizing Data
(Approximately 12 days )
Highlighted Math Practice Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources
MAFS.K.12.MP.2.1: Reason
abstractly and quantitatively.
MAFS.K.12.MP.3.1: Construct
viable arguments and critique the
reasonableness of others.
MAFS.K.12.MP.4.1: Model with
mathematics.
MAFS.K.12.MP.5.1: Use
appropriately tools strategically.
MAFS.6.SP.1.1: Recognize a statistical question as one that anticipates variability in the data related to
the question and accounts for it in the answers.
represent numeric data graphically, including dot plots, histograms, and box plots
use graphical representations of numeric data to describe the center, spread, and shape of a data distribution
summarize numeric data with numerical summaries, including the mean and median and the range and interquartile range (IQR)
interpret numeric data summarized in dot plots, histograms, and box plots
summarize categorical data with numerical and graphical summaries, including mode and relative frequency tables
Questions About a Class
TV Statistics
Go Math – Lesson 16.1, 16.2, 16.3, 16.4, 16.5
MAFS.6.SP.1.3: Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.
Compare Measures of Center and Variability
Explain Measures of Center
Explain Measures of Variability
MAFS.6.SP.2.4: Display numerical data in plots on a number line, including dot plots, histograms, and box plots.
Basketball Histogram
Chores Data
Shark Attack Data
MAFS.6.SP.2.5: Summarize numerical data sets in
relation to their context, such as by: MAFS.6.SP.2.5c: Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.
Analyzing Physical Activity
Florida Lakes
Quiz Mean and Deviation
Select the Better Measure
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.
MAFS.6.SP.2.5d: Relating the choice of measures
of center and variability to the shape of the data distribution and the context in which the data were gathered.
Module 16 - Key Vocabulary
Upper quartile Data Survey Box plot Histogram Interquartile range Lower quartile
Mean absolute deviation Median Mode Measure of center Measure of spread Range Statistical questions
Unit 8 - Module 17
Number System – Integers Addition and Subtraction
(Approximately 5 days )
Highlighted Math Practice Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources
MAFS.K.12.MP.5.1: Use
appropriately tools strategically. Click
here for video examples from Inside
Mathematics
MAFS.K.12.MP.2.1: Reason
abstractly and quantitatively. Click
here for video examples from Inside
Mathematics
MAFS.K.12.MP.1.1: Make sense of
problems and persevere in solving
MAFS.7.NS.1.1: Apply and extend
previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. MAFS.7.NS.1.1.c: Understand subtraction
of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts. MAFS.7.NS.1.1.d: Apply properties of operations as strategies to add and subtract rational numbers.
Students represent integer operations with concrete models and connect the actions with the models to standardized algorithms:
add integers fluently
subtract integers fluently
solve multi-step problems involving addition and subtraction of integers
Adding Integers
Exploring Additive Inverse
Finding the Difference
Rational Addition and Subtraction
Rational Water Management
Go Math – Lesson 17.1, 17.2, 17.3, 17.4
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.
them. Click here for video examples
from Inside Mathematics
MAFS.7.NS.1.3: Solve real-world and
mathematical problems involving the four operations with rational numbers.
Positive and Negative Fractions
A Rational Number Expression
Complex Fractions
Monitoring Water Temperatures
Trail Mix Munchies
Module 17 - Key Vocabulary
Difference Integers Negative numbers Opposites Positive number Sum Whole number
Absolute value Additive inverse Expressions Model
Unit 8 - Module 18
Number Systems: Multiply and Dividing Integers
(Approximately 4 days )
Highlighted Math Practice Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources
MAFS.K.12.MP.2.1: Reason
abstractly and quantitatively. Click
here for video examples from Inside
Mathematics
MAFS.7.NS.1.2: Apply and extend previous
understandings of multiplication and division and of fractions to multiply and divide rational numbers.
Students represent integer operations with concrete models and connect the actions with the models to standardized algorithms.
Applying Rational Number Properties
Find Decimal Using Long Division
Integer Division
Negative Times
Negative Explained
Quotients of Integers
Understanding Products
Go Math – Lessons 18.1, 18.2, 18.3
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.
MAFS.K.12.MP.4.1: Model with mathematics. Click here for video examples from
Inside Mathematics
MAFS.K.12.MP.7.1: Look for and
make use of structure. Click here for
video examples from Inside
Mathematics
MAFS.7.NS.1.1.b: Understand that
integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then -( p _ q) = ___ (-p) q = ___p (-q) . Interpret quotients of rational numbers by describing real-world contexts. MAFS.7.NS.1.1.c: Apply properties of
operations as strategies to multiply and divide rational numbers.
multiply integers fluently
divide integers fluently
Adding Integers
Exploring Additive Inverse
Finding the Difference
Rational Addition and Subtraction
Rational Water Management
MAFS.7.NS.1.3: Solve real-world and
mathematical problems involving the four operations with rational numbers.
use the order of operations to solve multistep problems involving integers
Positive and Negative Fractions
A Rational Number Expression
Complex Fractions
Monitoring Water Temperatures
Trail Mix Munchies
Module 18 - Key Vocabulary
Divide Dividend Divisor Integers Multiply Negative number Operation
Opposites Positive number Product quotient
Unit 8 - Module 19
Number System : Rational Numbers
(Approximately 5 days )
Highlighted Math Practice
Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources
MAFS.K.12.MP.2.1:
Reason abstractly
and quantitatively.
Click here for video
MAFS.7.NS.1.1.c: Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.
Students represent and use rational numbers in a variety of forms:
Adding Integers
Exploring Additive Inverse
Finding the Difference
Rational Addition and Subtraction
Go Math –Lessons 19.1 to 19.7
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.
examples from Inside
Mathematics
MAFS.K.12.MP.3.1:
Construct viable
arguments and
critique the
reasonableness of
others. Click here for
video examples from
Inside Mathematics
MAFS.K.12.MP.4.1:
Model with
mathematics. Click
here for video
examples from Inside
Mathematics
write rational numbers as decimals
add, subtract, multiply, and divide rational numbers fluently
Rational Water Management
MAFS.7.NS.1.2: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. MAFS.7.NS.1.2.d: Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.
Applying Rational Number Properties
Find Decimal Using Long Division
Integer Division
Negative Times
Negative Explained
Quotients of Integers
Understanding Products
MAFS.7.NS.1.3: Solve real-world and mathematical problems involving the four operations with rational numbers.
Positive and Negative Fractions
A Rational Number Expression
Complex Fractions
Monitoring Water Temperatures
Trail Mix Munchies
MAFS.7.EE.1.1: Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
Equivalent Perimeters
Equivalent Rational Expressions
Factored Forms
Identify Equivalent Multistep Expressions
MAFS.7.EE.2.3: Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.
Alexa’s Account
Discount and Tax
Gas Station Equations
Reeling in Expressions
Using Estimation
Module 19 - Key Vocabulary
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Rational number Repeating decimal Terminating decimal Integer Negative number Pattern Positive number
Whole numbers Additive inverse Opposite Rational number
Unit 9 - Module 20
Rates and Proportionality
(Approximately 7days )
Highlighted Math Practice
Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources
MAFS.K.12.MP.2.1:
Reason abstractly and
quantitatively. Click here
for video examples from
Inside Mathematics
MAFS.K.12.MP.4.1:
Model with
mathematics. Click here
for video examples from
Inside Mathematics
MAFS.7.RP.1.1: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.
Students represent and solve proportional relationships:
calculate unit rates from rates
represent constant rates of change given a table, verbal description, equation, or graph
determine constant of proportionality in real-world situations
Comparing Unit Rates
Computing unit Rates
Unit Rate Area
Unit Rate Length
Go Math – Lessons 20.1, 20.2, 20.3
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.
MAFS.7.RP.1.2a: Decide whether two quantities are in a
proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin. MAFS.7.RP.1.2b: Identify the constant of proportionality
(unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. MAFS.7.RP.1.2c: Represent proportional relationships by equations. MAFS.7.RP.1.2d: Explain what a point (x, y) on the graph
of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
Babysitting Graph
Constant of Proportionality Trip
Deciding If Proportional
Finding Constant of Proportionality
Graphs of Proportional Relationships
Identifying Constant of Proportionality in Equations
Serving Size
Teacher to Student Ratios
Writing An Equation
MAFS.7.RP.1.3: Use proportional relationships to solve
multistep ratio and percent problems. Finding Fees
Gasoline Prices
Making Cookies
Tiffany‘s Tax
Module 20 - Key Vocabulary
Constant Conversion factor Equivalent ratio Percent Rate Ratio Complex fraction
Constant of proportionality
Proportion Proportional relationship Rate of change Unit rate
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020 The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Unit 9 - Module 21
Proportions and Percent
(Approximately 5 days )
Highlighted Math Practice
Florida Math Standard Students should be able to: MFAS Tasks Suggested Instructional Resources
MAFS.K.12.MP.2.1:
Reason abstractly and
quantitatively. Click here
for video examples from
Inside Mathematics
MAFS.K.12.MP.4.1:
Model with
mathematics. Click here
for video examples from
Inside Mathematics
MAFS.K.12.MP.5.1: Use
appropriately tools
strategically. Click here
for video examples from
Inside Mathematics
MAFS.7.RP.1.3: Recognize and represent proportional relationships between quantities.
Students represent and solve problems involving proportional relationships:
solve problems involving percent increase, percent decrease, and percent of change
solve markup and markdown problems
use percents to find sales tax, tips, total cost, simple interest
Finding Fees Gasoline Prices
Making Cookies
Tiffany‘s Tax
Go Math – Lessons 6.1
MAFS.7.EE.1.2: Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.
Explain Equivalent Expressions
Rectangle Expressions
MAFS.7.EE.2.3: Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.
Alexa’s Account Discount and Tax Gas Station Equations Reeling in Expressions
Using Estimation
Module 21 - Key Vocabulary
Proportion Percent Rate Ratio Unit rate Percent of decrease Percent of increase
Principal Simple interest