7th Grade CMP (1^{st} 9 Weeks – 1^{st} 41/2 weeks)
Date


Hobbs PreAP Math Standards
7^{th} Grade

NM
Standards &
Benchmarks

Resources
Text:

Illustrative
Examples



Units & Sections with Goal





VP1.1
VP1.2
VP1.3
VP1.4
VP1.5
VP2.1
VP2.2
VP2.3
VP3.1
VP3.2
VP3.3
VP4.1
VP4.2
VP4.3

Variables, Tables, and Coordinate Graphs
Preparing for a Bicycle Tour:
Making Graphs
Day 1: Atlantic City to Lewes:
Day 2: Lewes to Chincoteague Island:
Day 3: Chincoteague Island to Norfolk:
Analyzing Graphs and Tables
Renting Bicycles:

Analyzing a table & a graph
Finding Customers:

Making and analyzing a graph
What’s the Story?:
Rules and Equations
Writing Equations:

Equations with one operation
Writing More Equations:

Equations with two operations
Paying Bills and Counting Profits:

Equations for revenue, expenses, and profit.
Calculator Tables and Graph
Making and Using Calculator Tables

Interpreting calculator tables
Making and Using Calculator Graphs

Interpreting calculator tables
Extending the Tour:

7.A.1.12
7.A.1.12, 3.23
7.A.1.1ac
7.A.1.1, 1.6
7.A.1.6, 3.2
7.A.1.1, 1.2
7.D.1.12
7.D.3.23
7.A.2.23, 4.4
7.A.2.3, 4.1, 4.4
7.N.2.3
7.D.2.4
7.A.2.1ac
7.5.1.9

Variables and Patterns
Variables and Patterns


7th Grade CMP (1^{st} 9 Weeks – 2^{nd} 41/2 weeks)
Date


Hobbs PreAP Math Standards
7^{th} Grade

NM
Standards &
Benchmarks

Resources
Text:

Illustrative
Examples



Units & Sections with Goal





SS1.1
SS1.2
SS1.3
SS2.1
SS2.2
SS2.3
SS3.1
SS3.2
SS3.3
SS4.1
SS4.2
SS4.3
SS5.1
SS5.2
SS5.3

Enlarging and Reducing Shapes
Solving a Mystery:

Introduction to Similarity
Stretching a Figure:

Comparing Similar Figures
Scaling Up and Down:

Corresponding sides and angles
Similar Figures
Drawing Wumps:
Hats Off to the Wumps:

Changing a Figure’s size and location.
Mouthing Off and Nosing Around:

Understand the relationships of angles, side lengths, perimeters and areas of similar polygons
Similar Polygons
RepTile Quadrilaterals:

Constructing similar quadrilaterals and working with ratios and scale factors
RepTile Triangles:

Construct similar triangles and work with the relationship between scale factor and area
Scale Factors and Similar Shapes:

Use scale factors to make similar shapes
Similarity and Ratios
Ratios Within Similar Parallelograms:

Use ratios of corresponding sides within a figure to determine whether two figures are similar
Ratios Within Similar Triangles:

Use ratios to identify similar triangles
Finding Missing Parts:

Using Similarity to Find measurements.
Using Similar Triangles and Rectangles
Using Shadows to Find Heights:

Develop a technique for indirect measurement
Using Mirrors to Find Heights:

Similar triangles and indirect measurement
On the Ground:…but Still Out of Reach:

Finding Lengths With Similar Triangles

7.G.1.1
7.G.1.1, 3.1, 4.2c
7.A.3.1, 7.G.1.2, 1.4, 4.2a, c
7.A.3.2, 7.G.2.1, 4.2c, 7.M.1.2
7.A.3.2, 7.G.2.1, 7.M.1.2
7.A.3.1, 7.M.1.2, 2.3
7.G.1.1
7.G.1.1
7.N.3.6, 7.A.1.4, 3.1, 7.M.2.1, 2.3
7.G.4.2b,c
7.G.4.2c, 7.M.2.1, 2.3
7.A.3.1, 7.M.2.1, 2.3
7.A.3.2, 7.M.2.1, 2.3
7.M.2.1, 2.3
7.A.3.1, 7.M.1.2, 2.1, 2.3

Stretching and Shrinking
Stretching and Shrinking


7th Grade CMP (2^{nd} 9 Weeks – 1^{st} 41/2 weeks)
Date


Hobbs PreAP Math Standards
7^{th} Grade

NM
Standards &
Benchmarks

Resources
Text:

Illustrative
Examples



Units & Sections with Goal





SUPP
CS1.1
CS1.2
CS1.3
CS2.1
CS2.2
CS2.3
CS3.1
CS3.2
CS3.3
CS3.4
CS4.1
CS4.2
CS4.3

Perfect Squares and Pythagorean Theorem
Making Comparisons
Ads That Sell:

Exploring Rations and Rates
Targeting an Audience:

Analyzing comparison statements about quantities.
American Records:

Writing comparison statements from given data.
Comparing Ratios, Percents, and Fractions
Mixing Juice:

Developing comparison strategies
Sharing Pizza:

More comparison strategies
Finding Equivalent Ratios:
Comparing and Scaling Rates
Technology on Sale:

Making and using a rate table.
Time, Rate, and Distance:
Comparing CD Prices:
What Does Dividing Tell You?:
Making Sense of Proportions
Setting Up and Solving Proportions:

Apply proportional reasoning to solve for the unknown part when one part of two equal ratios is unknown.
Everyday Use of Proportions:

Applications of proportions.
Developing Strategies for Solving Proportions:

Develop insight and flexibility in choosing strategies for solving problems requiring proportional reasoning

7.N.2.7, 7.G.1.3
7.M.1.1, 2.3
7.N.3.4, 7.M.1.1, 2.3
7.M.1.1, 2.3
7.N.3.2, 7.M.1.1
7.N.3.2, 7.M.1.1
7.A.3.2, 7.M.1.1, 2.3
7.N.2.3, 7.M.1.5
7.N.2.3
7.A.2.6
7.A.2.6, 3.2
7.M.1.1, 2.3
7.M.1.1, 2.3
7.A.3.2, 7.M.1.1, 2.3

Supplemental Unit Provided
Comparing and Scaling
Comparing and Scaling


7th Grade CMP (2^{nd} 9 Weeks – 2^{nd} 41/2 weeks)
Date


Hobbs PreAP Math Standards
7^{th} Grade

NM
Standards &
Benchmarks

Resources
Text:

Illustrative
Examples



Units & Sections with Goal





AN1.1
AN1.2
AN1.3
AN1.4
AN2.1
AN2.2
AN2.3
AN2.4
AN2.5

Extending the Number System
Playing Math Fever:

Using Positive and Negative Numbers
From Sauna to Snowbank:

Comparing and ordering positive and negative numbers
What’s the Change?:

Using a number line model
In the Chips:

Interpret and write mathematical sentences and develop a chip model for representing + and 
Adding and Subtracting Integers
Introducing Addition of Integers:

Develop algorithms for adding integers.
Introducing Subtraction of Integers:

Develop algorithms for subtracting integers.
The “+/“ Connection:

Addition and subtraction relationships
Fact Families:

Solve simple equations with missing facts by using related fact families.
Coordinate Graphing:

Extend graphing with positive and negative coordinates to all four quadrants.

7.N.1.3, 2.9
7.N.2.6, 7.D.4.2
7.N.2.6
7.A.3.3
7.N.1.1, 2.1, 2.4, 3.5
7.N.2.1, 2.4, 3.5
7.N.2.1, 2.4
7.N.1.1, 2.1, 7.A.3.2
7.G.2.1

Accentuate the Negative
Accentuate the Negative


7th Grade CMP (3^{rd} 9 Weeks – 1^{st} 41/2 weeks)
Date


Hobbs PreAP Math Standards
7^{th} Grade

NM
Standards &
Benchmarks

Resources
Text:

Illustrative
Examples



Units & Sections with Goal





AN3.1
AN3.2
AN3.3
AN3.4
AN4.1
AN4.2
AN4.3
DD1.1
DD1.2
DD1.3
DD1.4
DD2.1
DD2.2
DD2.3
DD2.4

Multiplying and Dividing Integers
Introducing Multiplication of Integers:

Develop and use algorithms for multiplying integers.
Multiplication Patterns:

Examine number patterns to confirm the algorithm for multiplication.
Introducing Division of Integers:

Explore division of integers using the relationship between multiplication and division found in fact families.
Playing the Integer Product Game:
Order of Operations:

Explore the use of the order of operations to order computation in problems
Distributing Operations:

Develop and use the distributive property of multiplication over addition
The Distributive Property and Subtraction:

Develop and use the distributive property of multiplication over subtraction
Making Sense of Variability
Variability in Categorical Data:

Use properties of distributions to describe the variability in a given data set and use percents to report frequencies.
Variability in Numerical Counts:

Use percents to report frequencies and bar graphs to display data
Variability in Numerical Measurements:

Decide if a difference among data values and/or summary measures matters
Two Kinds of Variability:
Identify sources of variability, including variability that occurs naturally in data and variability that results from errors in measurement.
Making Sense of Measures of Center
The Mean as an Equal Share:

Use properties of distributions to describe variability and use an equal share model to make sense of the mean.
The Mean as a Balance Point in a Distribution:

Read and understand line plots
Repeated Values in a Distribution:

Understand and decide when to use the mean, median, or mode to describe a distribution.
Median and Mean and Shapes of Distribution

Measures of Center & Shape of Distribution

7.N.2.1, 2.9
7.N.2.1, 2.9
7.N.1.1, 2.1, 2.9
7.N.2.1, 2.9
7.N.1.4, 1.5, 2.3, 2.5, 2.8, 7.A.1.4, 4.2
7.N.2.1, 2.9, 7.A.1.4
7.N.1.12, 2.1, 2.9, 7.A.1.4, 3.2
7.D.1.5, 1.12, 4.2, 4.3
7.D.1.34, 1.11, 2.1
7.D.1.1, 2.2
7.D.1.7, 2.2, 3.3
7.D.1.7, 2.2
7.D.1.34
7.D.1.4, 2.1
7.D.1.3

Accentuate the Negative
Data Distribution
Data Distributions


7th Grade CMP (3^{rd} 9 Weeks – 2^{nd} 41/2 weeks)
Date


Hobbs PreAP Math Standards
7^{th} Grade

NM
Standards &
Benchmarks

Resources
Text:

Illustrative
Examples



Units & Sections with Goal





SP1.3
WD1.1
WD1.2
WD1.3
WD2.1
WD2.2
WD2.3

BoxandWhisker Plots:

Compare sample distributions using measures of center, variability (range & %) and data displays that group data (box & whisker plots)
Evaluating Games of Chance
Matching Colors:

Experimental and Theoretical Probability
Red and Blue Is a Winner!:
Playing the Multiplication Game:
Use probability and payoff to calculate the longterm average result of a game of chance.
Analyzing Situations Using an Area Model
Making Purple:

Area models and probability
Choosing Paths:
Finding the Best Arrangement:

Use an area model to analyze the theoretical probabilities for twostage outcomes.

7.D.1.16, 2.18, 3.14, 4.2, 4.4, 4.5
7.D.4.1
7.D.2.2, 4.2, 4.5
7.D.4.2, 4.7
7.D.4.7
7.D.3.2, 4.6
7.D.3.2, 4.7

Samples and
Populations
(8^{th} grade unit)
What Do You Expect?


7th Grade CMP (4^{th} 9 Weeks – 1^{st} 41/2 weeks)
Date


Hobbs PreAP Math Standards
7^{th} Grade

NM
Standards &
Benchmarks

Resources
Text:

Illustrative
Examples



Units & Sections with Goal





MS1.1
MS1.2
MS1.3
MS1.4
MS2.1
MS2.2
MS2.3
MS2.4
MS3.1
MS3.2
MS3.3
MS3.4
MS3.5
MS4.1
MS4.2
MS4.3
MS4.4

Walking Rates
Walking Marathons: Finding and using rates.
Walking Rates and Linear Relationships: Linear Relationships in tables, graphs, and equations
Raising Money:

Using linear relationships
Using the Walkathon Money:

Recognizing linear relationships.
Exploring Linear Functions With Graphs and Tables
Walking to Win:

Finding the Point of Intersection
Crossing the Line:

Using tables, graphs, and equations
Comparing Costs:
Connecting Table, Graphs, and Equations:

Understand the connections between linear equations and patterns in the tables and graphs of those relations, including rate of change and the xand yintercepts.
Solving Equations
Solving Equations Using Tables and Graphs:

Solve linear equations in one variable using tables, graphs, and symbols
Exploring Equality:

Using the properties of equality to solve equations that are represented pictorially.
From Pouches to Variables:
Solving Linear Equations:

Develop strategies for solving linear equations.
Finding the Point of Intersection
Exploring Slope
Climbing Stairs:
Finding the Slope of a Line:

Find the slope of a line and the yintercept from data in table, graph, or equation and write the equation.
Exploring Patterns With Lines:

Explore patterns among lines with the same slope – parallel lines.
Pulling It All Together:

Writing equations with two variables

7.A.1.6
7.A.4.3
7.A.4.3
7.A.1.5
7.A.1.3, 1.5
7.A.1.5
7.A.2.1bc
7.A.1.5, 2.1b,c
7.A.2.1b, 4.4, 7.D.1.6
7.A.2.2, 4.4
7.A.2.1a,b, 4.4, 7.M.4.4
7.A.2.1a, b, 4.4
7.A.2.1c, 4.4
7.A.1.5
7.A.2.5
7.A.1.1, 1.3, 2.4, 7.M.4.4
7.A.2.6, 4.1

Moving Straight Ahead
All Units prior to MS should be taught prior to CRT Test
Moving Straight Ahead
Moving Straight Ahead


7th Grade CMP (4^{th} 9 Weeks – 2^{nd} 41/2 weeks)
Date


Hobbs PreAP Math Standards
7^{th} Grade

NM
Standards &
Benchmarks

Resources
Text:

Illustrative
Examples



Units & Sections with Goal





FW 1.1
FW 1.2
FW 1.3
FW 2.1
FW 2.2
FW 3.3
FW4.1
FW4.2
FW4.3

Building Boxes
Making Cubic Boxes

Connect the area of the net to the surface area of a cube
Making Rectangular Boxes

Connect the area of the net to the surface area of a rectangular prism
Testing Nets

Visualize a net as a representation of the surface area of a rectangular prism
Designing Rectangular Boxes
Packaging Blocks

Connect the dimensions of a rectangular prism to its volume and surface area
Saving Trees

Predict which rectangular prism of those with a common volume will have the smallest surface area
Prisms and Cylinders
Making Cylinders and Prisms from Nets

Develop a strategy for finding the surface area of a cylinder
Cones, Spheres, and Pyramids
Comparing Spheres and Cylinders:

Explore a volume relationship between cylinders and spheres
Cones and Cylinders, Pyramids and Cubes:

Explore and use a volume relationship between cylinders, cones, and spheres
Melting Ice Cream:

Comparing Volumes of Spheres, Cylinders, and Cones

7.M.2.2
7.M.2.2
7.M.2.2
7.M.2.2
7.M.2.2
7.M.2.2
7.A.4.1, 7.G.1.2, 1.4
7.G.1.2, 1.4, 4.1
7.G.1.2, 1.4, 4.1

Filling and Wrapping
Filling and Wrapping


Note: Bolded sections are Power Standards for the unit. Highlighted units are approved supplemental units.
Legends for abbreviations:
Variables and Patterns = VP
Stretching and Shrinking = SS
Filling and Wrapping = FW
Accentuate the Negative = AN
Comparing and Scaling = CS
Data Distributions = DD
What Do You Expect? = WD
Samples and Populations = SP ( 8^{th} grade provided supplemental unit)
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