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The School District of Palm Beach County M/J 2 ADVANCED 2nd Quarter Scope 2010 - 2011 Benchmarks Next Generation Sunshine State Standards Topic & Suggested Pacing October 18December 17 MA.7.A.1.3 MA.7.A.1.4 MA.7.A.1.5 MA.7.A.1.6 Core I can… Glencoe Math Connects Course 2 Plus • Model proportions using bar diagrams • Determine unit rates • Identify proportional relationships • Use proportions to solve problems Drawings and • Use proportions to estimate populations Solve percent problems, including problems involving Models • Solve problems by drawing a diagram discounts, simple interest, taxes, tips, and percents of Similarity and • Solve problems involving scale drawings increase or decrease. Proportional • Use a spreadsheet to calculate measurements for scale drawings 6.1A-C, 6.1A-B Reasoning • Solve problems involving similar figures Solve problems involving similar figures. • Find the relationship between perimeters and areas of similar Rates and 4.3A-C figures Functions • Find the value of the golden ratio Slope Graph proportional relationships and identify the unit • Find the input and output for a given function rate as the slope of the related linear function. • Make function tables and write equations Variation 5.1A-D, 5.2A-D, 5.3A • Graph data to demonstrate relationships • Use technology to graph relationships involving conversions of Percents measurement Proportions Distinguish direct variation from other relationships, and Equations • Understand slope as it relates to rate of change • Identify constant rate of change using tables and graphs including inverse variation. • Identify slope using tables and graphs 5.3B-E • Use technology to compare and contrast graph relationships • Solve problems by using a graph • Compare and contrast proportional and nonproportional linear Apply proportionality to measurement in multiple functions contexts, including scale drawings and constant speed. • Use direct variation to solve problems 4.1A-B, 4.2A-C, 4.3A-B • Graph inverse variations Distinguish between situations that are proportional or not proportional, and use proportions to solve Proportions MA.7.A.1.1 problems. Scale 4.1C-E, 4.3A, 6.2B MA.7.A.1.2 Student Target 4.1 A-E Tutorial Support AYP Support Unit Rate Video MA.7.A.1.1 Ratios, Rates, & Proportions Video MA.7.A.1.2 Ratio and Proportion MA.7.A.1.3 How to find the Scale of Scale Drawings Video MA.7.A.1.4 How to Find the Measurement of Scale Drawings Video MA.7.A.1.5 Similar Shapes Video MA.7.A.1.6 4.2 A-C 4.3 A-C 5.1 A-D 5.2 A-D 5.3 A-E 6.1 A-C 6.2 A-D Add, subtract, multiply, and divide integers, fractions, and terminating decimals, and perform exponential operations with rational bases and whole number MA.7.A.3.2 exponents including solving problems in everyday contexts. 6.1B-C, 6.2C-D • Graph inverse variations • Use inverse variation to solve problems • Use percent diagrams to solve problems • Find the percent of a number • Estimate percents by using fractions and decimals • Solve problems involving percents • Solve problems using the percent proportion • Solve problems by using the percent equation • Solve problems by determining reasonable answers Similar Triangles Video (Part 1) MA.7.A.3.2 Similar Triangles Video (Part 2) MA.7.A.3.3 Express rational numbers as terminating or repeating MA.7.A.5.1 decimals. 6.1B, 6.2C Perimeters and Areas of Similar Figures Video MA.7.A.5.1 Determine how changes in dimensions affect the perimeter, area, and volume of common geometric MA.7.G.4.1 figures, and apply these relationships to solve problems. 4.3B Input and Output Tables Video MA.7.G.4.1 Formulate and use different strategies to solve onestep and two-step linear equations, including equations MA.7.A.3.3 with rational coefficients. 6.2C Function Video Lesson Introduction to Functions Video Graphing Functions Video Slope Formula Slope of a Line Slope, Slope Intercept and Standard Form Direct Variation Inverse Variation Percent of a Number Video Percent Proportion Video Using Equations to Solve Percent Problems Intro (Video) Using Equations to Solve Percent Problems Video Using Equations to Solve Percent Problems Video II Secondary Data-Driven Benchmark: Comprehension Check