Carnegie_Learning_Middle_School_Math_Series_Course_2.pdf

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Middle School Math Series: Course 2 1 1 Ratios and Rates Chapter Lesson Title Key Math Objective CCSS Key Terms 1.1 Show Someone You Care — Send Flowers! Introduction to Ratios and Rates • Identify ratios, rates, and unit rates. • Use ratios, rates, and unit rates to analyze problems. 6.RP.1 7.RP.1 • Ratio • Rate • Proportion • Equivalent ratios • Unit rate • Scaling up • Scaling down 1.2 Making Punch Ratios, Rates, and Mixture Problems • Use ratios to make comparisons. • Use rates and proportions to solve mixture problems. 7.RP.1 N/A 1.3 For the Birds Rates and Proportions • Write ratios and rates. • Write proportions. • Scale up and scale down proportions. 7.RP.1 • Convert 1.4 Tutor Time! Using Tables to Solve Problems • Use tables to represent equivalent ratios. • Solve proportions using unit rates. 7.RP.1 7.RP.2.b N/A Middle School Math Series: Course 2 Talk the Talk Technology This chapter begins with a review of ratio and unit rate concepts, and scaling up and scaling down strategies to determine equivalent ratios. The means and extremes strategy for solving proportions is introduced and connected to the students’ previous understanding of equivalent ratios Modules Worked Examples Peer Analysis
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Middle School Math Series: Course 2 2 Middle School Math Series: Course 2 1.5 Looks Can Be Deceiving! Using Proportions to Solve Problems • Solve proportions using the scaling method. • Solve proportions using the unit rate method. • Solve proportions using the means and extremes method. 7.RP.1 7.RP.2.c 7.RP.3 • Variable • Means and extremes • Solve a proportion • Inverse operations 1.6 The Price Is … Close Using Unit Rates in Real World Applications • Estimate and calculate values using rates. • Use unit rates to determine the best buy. 7.RP.1 7.RP.2.b 7.RP.3 N/A
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Middle School Math Series: Course 2 3 Middle School Math Series: Course 2 2 Direct Variation and Constant of Proportionality Chapter Lesson Title Key Math Objective CCSS Key Terms 2.1 What Makes You Tap Your Feet? Introduction to Direct Variation • Determine how quantities in different situations vary. • Use multiple representations to explore the types of variation. 7.RP.1 7.RP.2.a 7.RP.2.d • Direct variation (direct proportion) • Origin 2.2 Building Bird Feeders Is for the Birds! Determining Equivalent Ratios • Determine if the points on a graph are equivalent ratios. 7.RP.2.a N/A 2.3 Kids Just Wanna Have Fun! Determining and Applying the Constant of Proportionality • Determine the constant of proportionality. • Solve problems using the proportional relationship between two variables. 7.RP.2.b 7.RP.2.c • Constant of proportionality 2.4 Stop That Speeding Snail? Using the Constant of Proportionality to Solve Proportions • Determine if there is a constant of proportionality between two variables.
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