Pre-AP English 7Th

7th Grade CMP

7th Grade CMP (1st 9 Weeks – 1st 4-1/2 weeks) NM Hobbs Pre-AP Math Standards Standards & Resources Illustrative Date 7th Grade Benchmarks Text: Examples

Units & Sections with Goal Variables, Tables, and Coordinate Graphs Variables and Patterns VP1.1 Preparing for a Bicycle Tour: 7.A.1.1-2  Interpreting graphs

VP1.2 Making Graphs 7.A.1.1-2, 3.2-3  Compiling graphs from

VP1.3 Day 1: Atlantic City to Lewes: 7.A.1.1a-c  Interpreting graphs

VP1.4 Day 2: Lewes to Chincoteague Island: 7.A.1.1, 1.6  Reading data from graphs

VP1.5 Day 3: Chincoteague Island to Norfolk: 7.A.1.6, 3.2  Finding Average Speed

Analyzing Graphs and Tables

VP2.1 Renting Bicycles: 7.A.1.1, 1.2  Analyzing a table & a graph

VP2.2 Finding Customers: 7.D.1.1-2  Making and analyzing a graph

VP2.3 What’s the Story?: 7.D.3.2-3  Interpreting graphs Revision 8/08 Page 1 7th Grade CMP

Rules and Equations Variables and Patterns VP3.1 Writing Equations: 7.A.2.2-3, 4.4  Equations with one operation

VP3.2 Writing More Equations: 7.A.2.3, 4.1, 4.4  Equations with two operations

VP3.3 Paying Bills and Counting Profits: 7.N.2.3  Equations for revenue, expenses, and profit.

Calculator Tables and Graph

VP4.1 Making and Using Calculator Tables 7.D.2.4  Interpreting calculator tables

VP4.2 Making and Using Calculator Graphs 7.A.2.1a-c  Interpreting calculator tables

VP4.3 Extending the Tour: 7.5.1.9  Comparing relationships

Revision 8/08 Page 2 7th Grade CMP

7th Grade CMP (1st 9 Weeks – 2nd 4-1/2 weeks) NM Hobbs Pre-AP Math Standards Standards & Resources Illustrative Date 7th Grade Benchmarks Text: Examples

Units & Sections with Goal Enlarging and Reducing Shapes Stretching and Shrinking SS1.1 Solving a Mystery: 7.G.1.1  Introduction to Similarity

SS1.2 Stretching a Figure: 7.G.1.1, 3.1, 4.2c  Comparing Similar Figures

SS1.3 Scaling Up and Down:  Corresponding sides and angles 7.A.3.1, 7.G.1.2, 1.4, 4.2a, c

Similar Figures

SS2.1 Drawing Wumps: 7.A.3.2, 7.G.2.1, 4.2c,  Enlarging a Figure 7.M.1.2

SS2.2 Hats Off to the Wumps:  Changing a Figure’s size and location. 7.A.3.2, 7.G.2.1, 7.M.1.2

SS2.3 Mouthing Off and Nosing Around:  Understand the relationships of angles, side 7.A.3.1, 7.M.1.2, 2.3 lengths, perimeters and areas of similar polygons

Similar Polygons

SS3.1 Rep-Tile Quadrilaterals: 7.G.1.1  Constructing similar quadrilaterals and working with ratios and scale factors

SS3.2 Rep-Tile Triangles: 7.G.1.1 Stretching and  Construct similar triangles and work with the Shrinking relationship between scale factor and area

SS3.3 Scale Factors and Similar Shapes: 7.N.3.6, 7.A.1.4, 3.1,  Use scale factors to make similar shapes 7.M.2.1, 2.3

Similarity and Ratios

SS4.1 Ratios Within Similar Parallelograms:  Use ratios of corresponding sides within a figure 7.G.4.2b,c to determine whether two figures are similar

SS4.2 Ratios Within Similar Triangles:  Use ratios to identify similar triangles 7.G.4.2c, 7.M.2.1, 2.3

SS4.3 Finding Missing Parts:  Using Similarity to Find measurements. 7.A.3.1, 7.M.2.1, 2.3

Using Similar Triangles and Rectangles

SS5.1 Using Shadows to Find Heights:  Develop a technique for indirect measurement 7.A.3.2, 7.M.2.1, 2.3

Using Mirrors to Find Heights: SS5.2 7.M.2.1, 2.3  Similar triangles and indirect measurement SS5.3 On the Ground:…but Still Out of Reach: 7.A.3.1, 7.M.1.2, 2.1, 2.3  Finding Lengths With Similar Triangles

7th Grade CMP (2nd 9 Weeks – 1st 4-1/2 weeks) NM Hobbs Pre-AP Math Standards Standards & Resources Illustrative Date 7th Grade Benchmarks Text: Examples

Units & Sections with Goal SUPP Perfect Squares and Pythagorean Theorem 7.N.2.7, 7.G.1.3 Supplemental Unit Provided

Making Comparisons Comparing CS1.1 Ads That Sell: 7.M.1.1, 2.3 and Scaling  Exploring Rations and Rates

CS1.2 Targeting an Audience: 7.N.3.4, 7.M.1.1, 2.3  Analyzing comparison statements about quantities.

CS1.3 American Records: 7.M.1.1, 2.3  Writing comparison statements from given data.

CS2.1 Comparing Ratios, Percents, and Fractions

Mixing Juice: 7.N.3.2, 7.M.1.1  Developing comparison strategies

CS2.2 Sharing Pizza:  More comparison strategies 7.N.3.2, 7.M.1.1

CS2.3 Finding Equivalent Ratios:  Scaling ratios 7.A.3.2, 7.M.1.1, 2.3

Comparing Comparing and Scaling Rates and Scaling

CS3.1 Technology on Sale: 7.N.2.3, 7.M.1.5  Making and using a rate table. 7.N.2.3 CS3.2 Time, Rate, and Distance:  Finding Rates

CS3.3 Comparing CD Prices: 7.A.2.6  Unit Rates and Equations

CS3.4 What Does Dividing Tell You?: 7.A.2.6, 3.2  Two different rates

Making Sense of Proportions

CS4.1 Setting Up and Solving Proportions: 7.M.1.1, 2.3  Apply proportional reasoning to solve for the unknown part when one part of two equal ratios is unknown.

CS4.2 Everyday Use of Proportions: 7.M.1.1, 2.3  Applications of proportions.

CS4.3 Developing Strategies for Solving Proportions: 7.A.3.2, 7.M.1.1, 2.3  Develop insight and flexibility in choosing strategies for solving problems requiring proportional reasoning

7th Grade CMP (2nd 9 Weeks – 2nd 4-1/2 weeks) NM Hobbs Pre-AP Math Standards Standards & Resources Illustrative Date 7th Grade Benchmarks Text: Examples

Units & Sections with Goal Extending the Number System Accentuate the Negative AN1.1 Playing Math Fever: 7.N.1.3, 2.9  Using Positive and Negative Numbers

AN1.2 From Sauna to Snowbank: 7.N.2.6, 7.D.4.2  Comparing and ordering positive and negative numbers

AN1.3 What’s the Change?: 7.N.2.6  Using a number line model

AN1.4 In the Chips: 7.A.3.3  Interpret and write mathematical sentences and develop a chip model for representing + and -

Adding and Subtracting Integers

AN2.1 Introducing Addition of Integers: 7.N.1.1, 2.1, 2.4, 3.5  Develop algorithms for adding integers.

AN2.2 Introducing Subtraction of Integers: 7.N.2.1, 2.4, 3.5 Accentuate the  Develop algorithms for subtracting integers. Negative

AN2.3 The “+/-“ Connection: 7.N.2.1, 2.4  Addition and subtraction relationships

AN2.4 Fact Families:  Solve simple equations with missing facts by 7.N.1.1, 2.1, 7.A.3.2 using related fact families.

AN2.5 Coordinate Graphing:  Extend graphing with positive and negative 7.G.2.1 coordinates to all four quadrants.

7th Grade CMP (3rd 9 Weeks – 1st 4-1/2 weeks) NM Hobbs Pre-AP Math Standards Standards & Resources Illustrative Date 7th Grade Benchmarks Text: Examples

Units & Sections with Goal Multiplying and Dividing Integers Accentuate the Negative AN3.1 Introducing Multiplication of Integers: 7.N.2.1, 2.9  Develop and use algorithms for multiplying integers.

AN3.2 Multiplication Patterns: 7.N.2.1, 2.9  Examine number patterns to confirm the algorithm for multiplication.

AN3.3 Introducing Division of Integers:  Explore division of integers using the 7.N.1.1, 2.1, 2.9 relationship between multiplication and division found in fact families.

AN3.4 Playing the Integer Product Game: 7.N.2.1, 2.9  Multiplying Integers

AN4.1 Order of Operations: 7.N.1.4, 1.5, 2.3, 2.5, 2.8,  Explore the use of the order of 7.A.1.4, 4.2 operations to order computation in problems

AN4.2 Distributing Operations:  Develop and use the distributive 7.N.2.1, 2.9, 7.A.1.4 property of multiplication over addition AN4.3 The Distributive Property and Subtraction: 7.N.1.1-2, 2.1, 2.9, 7.A.1.4, 3.2  Develop and use the distributive property Revision 8/08 Page 9 7th Grade CMP

of multiplication over subtraction Data Distribution DD1.1 Making Sense of Variability

Variability in Categorical Data: 7.D.1.5, 1.12, 4.2, 4.3  Use properties of distributions to describe the variability in a given data set and use percents to report frequencies.

DD1.2 Variability in Numerical Counts: 7.D.1.3-4, 1.11, 2.1  Use percents to report frequencies and bar graphs to display data

DD1.3 Variability in Numerical Measurements: 7.D.1.1, 2.2  Decide if a difference among data values and/or summary measures matters

DD1.4 Two Kinds of Variability: 7.D.1.7, 2.2, 3.3 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

DD2.1 The Mean as an Equal Share:  Use properties of distributions to describe 7.D.1.7, 2.2 variability and use an equal share model to make sense of the mean.

DD2.2 The Mean as a Balance Point in a Distribution:  Read and understand line plots 7.D.1.3-4 Data DD2.3 Repeated Values in a Distribution: Distributions Revision 8/08 Page 10 7th Grade CMP

 Understand and decide when to use the 7.D.1.4, 2.1 mean, median, or mode to describe a distribution.

DD2.4 Median and Mean and Shapes of Distribution 7.D.1.3  Measures of Center & Shape of Distribution

7th Grade CMP (3rd 9 Weeks – 2nd 4-1/2 weeks) NM Hobbs Pre-AP Math Standards Standards & Resources Illustrative Date 7th Grade Benchmarks Text: Examples

Units & Sections with Goal Box-and-Whisker Plots: SP1.3  Compare sample distributions using 7.D.1.1-6, 2.1-8, 3.1-4, 4.2, Samples and measures of center, variability (range 4.4, 4.5 Populations & %) and data displays that group (8th grade unit) data (box & whisker plots)

Evaluating Games of Chance WD1.1 Matching Colors: 7.D.4.1 What Do You  Experimental and Theoretical Probability Expect?

WD1.2 Red and Blue Is a Winner!: 7.D.2.2, 4.2, 4.5  Using an Organized List

WD1.3 Playing the Multiplication Game: 7.D.4.2, 4.7 Use probability and payoff to calculate the long- term average result of a game of chance.

Analyzing Situations Using an Area Model 7.D.4.7 WD2.1 Making Purple:  Area models and probability 7.D.3.2, 4.6 WD2.2 Choosing Paths:  Using a area model 7.D.3.2, 4.7 WD2.3 Finding the Best Arrangement:  Use an area model to analyze the theoretical probabilities for two-stage outcomes. Revision 8/08 Page 12 7th Grade CMP

7th Grade CMP (4th 9 Weeks – 1st 4-1/2 weeks) NM Hobbs Pre-AP Math Standards Standards & Resources Illustrative Date 7th Grade Benchmarks Text: Examples

Units & Sections with Goal Walking Rates Moving Straight Ahead MS1.1 Walking Marathons: Finding and using rates. 7.A.1.6 All Units prior MS1.2 Walking Rates and Linear Relationships: Linear 7.A.4.3 to MS should Relationships in tables, graphs, and equations be taught prior to CRT Test MS1.3 Raising Money: 7.A.4.3  Using linear relationships

MS1.4 Using the Walkathon Money: 7.A.1.5  Recognizing linear relationships.

Exploring Linear Functions With Graphs and Tables

MS2.1 Walking to Win:  Finding the Point of Intersection 7.A.1.3, 1.5

MS2.2 Crossing the Line:  Using tables, graphs, and equations 7.A.1.5

MS2.3 Comparing Costs:  Comparing Equations 7.A.2.1bc

Moving MS2.4 Connecting Table, Graphs, and Equations: 7.A.1.5, 2.1b,c Straight Ahead  Understand the connections between linear equations and patterns in the tables and graphs of those relations, including rate of change and the x-and y-intercepts.

Solving Equations

MS3.1 Solving Equations Using Tables and Graphs: 7.A.2.1b, 4.4, 7.D.1.6  Solve linear equations in one variable using tables, graphs, and symbols

MS3.2 Exploring Equality:  Using the properties of equality to solve 7.A.2.2, 4.4 equations that are represented pictorially.

MS3.3 From Pouches to Variables:  Writing linear equations 7.A.2.1a,b, 4.4, 7.M.4.4

MS3.4 Solving Linear Equations:  Develop strategies for solving linear equations. 7.A.2.1a, b, 4.4

MS3.5 Finding the Point of Intersection 7.A.2.1c, 4.4 Exploring Slope

MS4.1 Climbing Stairs:  Using rise and run 7.A.1.5

MS4.2 Finding the Slope of a Line: 7.A.2.5  Find the slope of a line and the y-intercept from data in table, graph, or equation and write the equation. Revision 8/08 Page 14 7th Grade CMP

Moving MS4.3 Exploring Patterns With Lines: Straight Ahead  Explore patterns among lines with the same 7.A.1.1, 1.3, 2.4, 7.M.4.4 slope – parallel lines.

MS4.4 Pulling It All Together:  Writing equations with two variables 7.A.2.6, 4.1

7th Grade CMP (4th 9 Weeks – 2nd 4-1/2 weeks) NM Hobbs Pre-AP Math Standards Standards & Resources Illustrative Date 7th Grade Benchmarks Text: Examples

Units & Sections with Goal Building Boxes Filling and Wrapping FW 1.1 Making Cubic Boxes  Connect the area of the net to the surface area 7.M.2.2 of a cube

FW 1.2 Making Rectangular Boxes  Connect the area of the net to the surface area 7.M.2.2 of a rectangular prism

FW 1.3 Testing Nets  Visualize a net as a representation of the 7.M.2.2 surface area of a rectangular prism

Designing Rectangular Boxes

FW 2.1 Packaging Blocks  Connect the dimensions of a rectangular prism 7.M.2.2 to its volume and surface area

FW 2.2 Saving Trees  Predict which rectangular prism of those with a 7.M.2.2 common volume will have the smallest surface area

Prisms and Cylinders Filling and Wrapping

FW 3.3 Making Cylinders and Prisms from Nets 7.M.2.2  Develop a strategy for finding the surface area of a cylinder

Cones, Spheres, and Pyramids

FW4.1 Comparing Spheres and Cylinders: 7.A.4.1, 7.G.1.2, 1.4  Explore a volume relationship between cylinders and spheres

FW4.2 Cones and Cylinders, Pyramids and Cubes: 7.G.1.2, 1.4, 4.1  Explore and use a volume relationship between cylinders, cones, and spheres

FW4.3 Melting Ice Cream:  Comparing Volumes of Spheres, Cylinders, 7.G.1.2, 1.4, 4.1 and Cones 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 ( 8th grade provided supplemental unit) Revision 8/08 Page 17