Proportions and Scale

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Lesson Plan Overview

Grade: 7
Group: Small group (15 students with special needs, Level C placement)
Duration: 20 minutes
Week: 1 of 4 (Focus: Proportions and Percent Basics)
Standards:

• Arizona Mathematics Standard 7.M.RP.A.03 (Solve ratio/percent problems)
• Arizona Mathematics Standards 7.M.EE.A.02 & 7.M.EE.B.03 (Rewrite and solve expressions & multi-step problems)
• Arizona Mathematics Standard 7.M.RP.A.02 (Create and extend proportional relationships)
• Arizona Mathematics Standard 7.M.G.A.01 (Scale drawings and real dimensions)

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Lesson Objective

I can solve real-life problems involving ratios, proportions, and percents using models and scale drawings.

Sub-objectives

1. I can identify and create equivalent ratios to model relationships.
2. I can use scale drawings to find missing dimensions in real-world problems.

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Success Criteria

• I correctly solve ratio and percent problems using concrete and pictorial models.
• I demonstrate understanding of scale drawings by identifying corresponding dimensions.
• I explain my thinking clearly during partner activities.
• I check my work carefully for accuracy.

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Materials

• Whiteboard and markers
• Pre-made anti-sort sets (cards with different ratios, percent problems, and scale drawings)
• Individual student whiteboards or paper
• Visual vocabulary cards (dyslexia-friendly fonts and colors)
• Timer
• Kagan cooperative learning activity cards (Pairs Check structure)

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Lesson Breakdown

Time (Minutes)	Component	Details
0–3	Warm-up and Review	Quick oral review of previous vocabulary: ratio, percent, scale. Use visuals and gesture. Validate understanding with thumbs up/down.
3–7	Explicit Instruction	Introduce concept of equivalent ratios and scale drawings using simple examples on whiteboard. Use step-by-step modeling and think aloud to show problem-solving process. Emphasize key vocabulary.
7–10	Guided Practice with Anti-Sort Activity	Students use anti-sort sets in pairs (Kagan Pairs Check) to categorize problems (ratio, percent, scale). Encourage discussion using "I think this because..." statements. Teacher circulates and uses frequent checks for understanding by asking targeted questions.
10–15	Partner Kagan Activity – Pairs Check (Problem Solving)	Partners take turns solving a given multi-step problem involving scale drawings and percents on individual whiteboards. They check each other's work and explain their reasoning. Provide prompt cards for struggling students and extension cards for advanced learners.
15–18	Independent Practice and Verbal Check-ins	Individually solve one new problem while teacher provides one-on-one support as needed. Use frequent verbal checks: “What is your first step? How do you know your answer is correct?”
18–20	Closure and Review	Recap the lesson objectives with students’ own "I can..." statements. Use thumbs up/thumbs down and quick discussion on what was learned. Preview next day’s focus on applying proportions to real-world contexts.

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Differentiation Strategies

• For students with dyslexia: Use dyslexia-friendly fonts and large print on visuals. Provide verbal instructions paired with written text.
• For language processing delays: Use sentence frames and vocabulary cards to support expression. Provide extra wait time for responses.
• For students needing extra support: Provide manipulatives such as ratio bars or colored tiles during activities. Use simplified problems and frequent breaks to maintain focus.
• For advanced learners: Provide extension problems involving larger numbers or additional steps in problem-solving. Challenge them to create their own scale drawing problem.

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Vocabulary Support (Dyslexia-friendly formatting)

• Ratio: A comparison of two quantities by division
• Proportion: Two ratios that are equal
• Percent: A part out of 100
• Scale: A ratio used to create a smaller or larger model of something real
• Equivalent: Equal in value
• Simplify: To make something easier to understand or smaller in number
• Model: A visual representation to help solve a problem
• Drawing: A picture or diagram

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Anti-Sort Set Example Cards

• Card 1: "3:4" (Ratio)
• Card 2: "45%" (Percent)
• Card 3: "Scale drawing: 1 inch = 3 feet" (Scale)
• Card 4: "A picture showing two ratios equal" (Proportion)
• Card 5: "Problem: Find 25% of 160" (Percent problem)
• Card 6: "Drawing of a room, measure missing side using scale" (Scale drawing problem)

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This lesson plan integrates explicit instruction aligned with the Common Core and Arizona standards and Kagan cooperative learning for engagement, scaffolds language and math concepts thoughtfully, and incorporates frequent checks for understanding to ensure mastery.