Lesson Plan: Introduction to Ratios and Unit Rates

This lesson introduces seventh-grade students to ratios and unit rates, emphasizing their real-world applications. Through engaging activities and problem-solving exercises, students will develop proportional reasoning skills.

Lesson Objectives

• Understand ratios and express them in different forms (a:b, a to b, a/b).
• Calculate unit rates to compare different quantities.
• Apply ratios and unit rates to real-world problems, such as speed and pricing.

Key Vocabulary

• Ratio: A comparison between two quantities (e.g., 3:2).
• Rate: A ratio comparing different units (e.g., miles per hour).
• Unit Rate: A rate with a denominator of 1 (e.g., $2 per apple).

Teaching Examples

• Calculating a Ratio: Determine the ratio of boys to girls in a class.
• Using Equivalent Ratios: Scale up a recipe proportionally.
• Solving a Proportion: Use equivalent ratios to find a missing value.

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