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<p> 7th Grade CMP </p><p>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</p><p>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</p><p>VP1.2 Making Graphs 7.A.1.1-2, 3.2-3 Compiling graphs from </p><p>VP1.3 Day 1: Atlantic City to Lewes: 7.A.1.1a-c Interpreting graphs</p><p>VP1.4 Day 2: Lewes to Chincoteague Island: 7.A.1.1, 1.6 Reading data from graphs</p><p>VP1.5 Day 3: Chincoteague Island to Norfolk: 7.A.1.6, 3.2 Finding Average Speed</p><p>Analyzing Graphs and Tables</p><p>VP2.1 Renting Bicycles: 7.A.1.1, 1.2 Analyzing a table & a graph</p><p>VP2.2 Finding Customers: 7.D.1.1-2 Making and analyzing a graph</p><p>VP2.3 What’s the Story?: 7.D.3.2-3 Interpreting graphs Revision 8/08 Page 1 7th Grade CMP </p><p>Rules and Equations Variables and Patterns VP3.1 Writing Equations: 7.A.2.2-3, 4.4 Equations with one operation</p><p>VP3.2 Writing More Equations: 7.A.2.3, 4.1, 4.4 Equations with two operations</p><p>VP3.3 Paying Bills and Counting Profits: 7.N.2.3 Equations for revenue, expenses, and profit.</p><p>Calculator Tables and Graph</p><p>VP4.1 Making and Using Calculator Tables 7.D.2.4 Interpreting calculator tables</p><p>VP4.2 Making and Using Calculator Graphs 7.A.2.1a-c Interpreting calculator tables</p><p>VP4.3 Extending the Tour: 7.5.1.9 Comparing relationships</p><p>Revision 8/08 Page 2 7th Grade CMP </p><p>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</p><p>Units & Sections with Goal Enlarging and Reducing Shapes Stretching and Shrinking SS1.1 Solving a Mystery: 7.G.1.1 Introduction to Similarity</p><p>SS1.2 Stretching a Figure: 7.G.1.1, 3.1, 4.2c Comparing Similar Figures</p><p>SS1.3 Scaling Up and Down: Corresponding sides and angles 7.A.3.1, 7.G.1.2, 1.4, 4.2a, c</p><p>Similar Figures</p><p>SS2.1 Drawing Wumps: 7.A.3.2, 7.G.2.1, 4.2c, Enlarging a Figure 7.M.1.2</p><p>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</p><p>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</p><p>Similar Polygons</p><p>SS3.1 Rep-Tile Quadrilaterals: 7.G.1.1 Constructing similar quadrilaterals and working with ratios and scale factors</p><p>Revision 8/08 Page 3 7th Grade CMP </p><p>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</p><p>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</p><p>Similarity and Ratios</p><p>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</p><p>SS4.2 Ratios Within Similar Triangles: Use ratios to identify similar triangles 7.G.4.2c, 7.M.2.1, 2.3</p><p>SS4.3 Finding Missing Parts: Using Similarity to Find measurements. 7.A.3.1, 7.M.2.1, 2.3</p><p>Using Similar Triangles and Rectangles</p><p>SS5.1 Using Shadows to Find Heights: Develop a technique for indirect measurement 7.A.3.2, 7.M.2.1, 2.3</p><p>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</p><p>Revision 8/08 Page 4 7th Grade CMP </p><p>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</p><p>Units & Sections with Goal SUPP Perfect Squares and Pythagorean Theorem 7.N.2.7, 7.G.1.3 Supplemental Unit Provided</p><p>Making Comparisons Comparing CS1.1 Ads That Sell: 7.M.1.1, 2.3 and Scaling Exploring Rations and Rates</p><p>CS1.2 Targeting an Audience: 7.N.3.4, 7.M.1.1, 2.3 Analyzing comparison statements about quantities.</p><p>CS1.3 American Records: 7.M.1.1, 2.3 Writing comparison statements from given data.</p><p>CS2.1 Comparing Ratios, Percents, and Fractions</p><p>Mixing Juice: 7.N.3.2, 7.M.1.1 Developing comparison strategies</p><p>CS2.2 Sharing Pizza: More comparison strategies 7.N.3.2, 7.M.1.1</p><p>CS2.3 Finding Equivalent Ratios: Scaling ratios 7.A.3.2, 7.M.1.1, 2.3</p><p>Revision 8/08 Page 5 7th Grade CMP </p><p>Comparing Comparing and Scaling Rates and Scaling</p><p>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</p><p>CS3.3 Comparing CD Prices: 7.A.2.6 Unit Rates and Equations</p><p>CS3.4 What Does Dividing Tell You?: 7.A.2.6, 3.2 Two different rates</p><p>Making Sense of Proportions</p><p>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.</p><p>CS4.2 Everyday Use of Proportions: 7.M.1.1, 2.3 Applications of proportions.</p><p>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</p><p>Revision 8/08 Page 6 7th Grade CMP </p><p>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</p><p>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</p><p>AN1.2 From Sauna to Snowbank: 7.N.2.6, 7.D.4.2 Comparing and ordering positive and negative numbers</p><p>AN1.3 What’s the Change?: 7.N.2.6 Using a number line model</p><p>AN1.4 In the Chips: 7.A.3.3 Interpret and write mathematical sentences and develop a chip model for representing + and - </p><p>Adding and Subtracting Integers</p><p>AN2.1 Introducing Addition of Integers: 7.N.1.1, 2.1, 2.4, 3.5 Develop algorithms for adding integers.</p><p>Revision 8/08 Page 7 7th Grade CMP </p><p>AN2.2 Introducing Subtraction of Integers: 7.N.2.1, 2.4, 3.5 Accentuate the Develop algorithms for subtracting integers. Negative</p><p>AN2.3 The “+/-“ Connection: 7.N.2.1, 2.4 Addition and subtraction relationships</p><p>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.</p><p>AN2.5 Coordinate Graphing: Extend graphing with positive and negative 7.G.2.1 coordinates to all four quadrants.</p><p>Revision 8/08 Page 8 7th Grade CMP </p><p>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</p><p>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.</p><p>AN3.2 Multiplication Patterns: 7.N.2.1, 2.9 Examine number patterns to confirm the algorithm for multiplication.</p><p>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.</p><p>AN3.4 Playing the Integer Product Game: 7.N.2.1, 2.9 Multiplying Integers</p><p>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</p><p>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 </p><p> of multiplication over subtraction Data Distribution DD1.1 Making Sense of Variability</p><p>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.</p><p>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</p><p>DD1.3 Variability in Numerical Measurements: 7.D.1.1, 2.2 Decide if a difference among data values and/or summary measures matters</p><p>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.</p><p>Making Sense of Measures of Center</p><p>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.</p><p>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 </p><p> Understand and decide when to use the 7.D.1.4, 2.1 mean, median, or mode to describe a distribution.</p><p>DD2.4 Median and Mean and Shapes of Distribution 7.D.1.3 Measures of Center & Shape of Distribution </p><p>Revision 8/08 Page 11 7th Grade CMP </p><p>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</p><p>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)</p><p>Evaluating Games of Chance WD1.1 Matching Colors: 7.D.4.1 What Do You Experimental and Theoretical Probability Expect?</p><p>WD1.2 Red and Blue Is a Winner!: 7.D.2.2, 4.2, 4.5 Using an Organized List</p><p>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.</p><p>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 </p><p>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</p><p>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</p><p>MS1.4 Using the Walkathon Money: 7.A.1.5 Recognizing linear relationships.</p><p>Exploring Linear Functions With Graphs and Tables</p><p>MS2.1 Walking to Win: Finding the Point of Intersection 7.A.1.3, 1.5</p><p>MS2.2 Crossing the Line: Using tables, graphs, and equations 7.A.1.5</p><p>MS2.3 Comparing Costs: Comparing Equations 7.A.2.1bc</p><p>Revision 8/08 Page 13 7th Grade CMP </p><p>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.</p><p>Solving Equations</p><p>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</p><p>MS3.2 Exploring Equality: Using the properties of equality to solve 7.A.2.2, 4.4 equations that are represented pictorially.</p><p>MS3.3 From Pouches to Variables: Writing linear equations 7.A.2.1a,b, 4.4, 7.M.4.4</p><p>MS3.4 Solving Linear Equations: Develop strategies for solving linear equations. 7.A.2.1a, b, 4.4</p><p>MS3.5 Finding the Point of Intersection 7.A.2.1c, 4.4 Exploring Slope</p><p>MS4.1 Climbing Stairs: Using rise and run 7.A.1.5</p><p>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 </p><p>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.</p><p>MS4.4 Pulling It All Together: Writing equations with two variables 7.A.2.6, 4.1</p><p>Revision 8/08 Page 15 7th Grade CMP </p><p>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</p><p>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</p><p>FW 1.2 Making Rectangular Boxes Connect the area of the net to the surface area 7.M.2.2 of a rectangular prism</p><p>FW 1.3 Testing Nets Visualize a net as a representation of the 7.M.2.2 surface area of a rectangular prism</p><p>Designing Rectangular Boxes</p><p>FW 2.1 Packaging Blocks Connect the dimensions of a rectangular prism 7.M.2.2 to its volume and surface area</p><p>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</p><p>Revision 8/08 Page 16 7th Grade CMP </p><p>Prisms and Cylinders Filling and Wrapping</p><p>FW 3.3 Making Cylinders and Prisms from Nets 7.M.2.2 Develop a strategy for finding the surface area of a cylinder</p><p>Cones, Spheres, and Pyramids</p><p>FW4.1 Comparing Spheres and Cylinders: 7.A.4.1, 7.G.1.2, 1.4 Explore a volume relationship between cylinders and spheres</p><p>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</p><p>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.</p><p>Legends for abbreviations:</p><p>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</p>
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