Meece Middle School Mrs. Robin Crawford Unit 3: Proportions and Variation Class: Math Grade: 7 Days in Unit: 21 Objective: Distinguish between proportional and non-proportional situations. Use proportions to solve problems. Compare, contrast, and convert between measurement systems. Graph proportional relationships and identify the unit rate as the slope of the related linear function. Distinguish direct variation from other relationships, including inverse variation. Time Lesson and Topic Standard Learning Target Vocabulary Resources 2 days 3.1 Ratios and Rates 7.RP.1 I can: 7.RP.2b find a ratio, rate, or unit rate. Ratio Rate Unit rate Day 1: Journal: Define vocabulary and practice examples of each learning target. Lesson 3.1 Practice A find a unit rate from a table or graph. Page 1 of 5 Day 2: Activity: Use sale papers to find unit rates of various items. Journal: review notes Lesson 3.1 Practice B Time Lesson and Topic 2 days 3.2 Slope Standard Learning Target Vocabulary Resources I can: slope Day 1 Journal: Define vocabulary. Discuss steepness of a line 7.RP.2b find the slope of a line. Thoughtful Ed: Comparing unit rates (record and practice journal) interpret the slope of a line as a rate when the equation of the line models a real-life situation. 2 Days 3.3 Proportions 7.RP.2a I can use equivalent ratios to determine whether two ratios form a proportion. 2 Days 3.4 Writing Proportions 7.RP.2a Lesson 3.2 Practice A Proportion Proportional Cross products use the cross products property to determine whether two ratios form a proportion. I can : write a proportion. solve a proportion using mental math. Page 2 of 5 Day 2 Journal: review notes Record and Practice Journal: Comparing two rates graphically Lesson 3.2 Practice B Day 1 Journal: Define vocabulary Use cross products to classify if ratios form a proportion Smartboard examples for each student to practice Lesson 3.3 Practice A Day 2 Journal: review notes Brainpop: Proportions video and quiz Lesson 3.3 Practice B Day 1: Journal: Setting up proportions using words Thoughtful Ed: Paired learner activity- using string to estimate the distance around someone’s neck (pg T116) Lesson 3.4 Practice A Day 2 Journal: Review notes Lesson 3.4 practice B Time Lesson and Topic 2 days 3.5 Solving Proportions Standard Learning Target Vocabulary I can: Day 1: Journal: Examples of how to solve proportions using multiplication, cross products, and using a point on the graph. 7.RP.2a 7.RP.2b 7.RP.2d Resources solve proportions using multiplication. 3.5 Practice A solve proportions using the cross products property. Day 2: Journal: review notes “Criss Cross” game (pg 123 teacher manual) 3.5 Practice B use a point on the graph of a proportional relationship to write and solve a proportion. 1 Day Quiz Lessons 3.1-3.5 Standards from these lessons All targets from these lessons. All vocabulary associated with lessons quiz 2 days 3.6 Converting Measures Between Systems 7.RP.3 I can: Customary system Metric system Day 1: Journal: record customary and metric system equivalents Guided Practice Lesson 3.6 Practice A Day 2: Journal: Review Notes Lesson 3.6 Practice B use ratios or proportional relationships to convert units. compare units. convert rates. Page 3 of 5 Time Lesson and Topic 3days 3.7 Direct Variation Standard Learning Target Vocabulary Resources I can Direct variation Day 1: Journal: write properties and equations for direct variations through the use of examining a graph. 3.7pg 140 #3-29 odd Day 2: Journal: Review Notes Group work: Find the graph that doesn’t belong and why 3.7 Practice A Day 3: Journal: review notes Discussion of direct variation in the real-world using ramps. Puzzle 3.7 Day 4: Journal: review notes 3.7 Practice B Day1: Journal: compare qualities of an indirect variation graph and the equation associated with it. Guided Practice: Solving a determining the classification of the graphs. Lesson 3.8 Practice A Day 2: Journal: review notes Lesson 3.8 Practice B 7.RP.2a 7.RP.2c identify direct variation from a graph or an equation. 7.RP.3 use a direct variation model. 2 days 3.8 Inverse Variation 7.RP.2a I can: Inverse variation decide whether two quantities show direct variation, inverse variation, or neither 1 day Quiz Lessons 3.6-3.8 Standards associated with these lessons All standards associated with these lessons All vocabulary within these lessons Page 4 of 5 Quiz Review packet Time Lesson and Topic Standard Learning Target Vocabulary Resources 1 day Review for Unit Test All All All 1 day Test over Unit All All All Check Review Packet Jeopardy CIITS test and Extended response Page 5 of 5