Ratios | Substitute Teacher
Students will apply ratios to compare physical activity data, such as reps, time, distance, and heart rate, in realistic physical education contexts. The lesson is designed for adult learners and can be delivered by a substitute teacher with minimal preparation. Students will solve ratio problems, interpret results, and explain how ratios support training decisions and performance tracking.
| Term | Definition |
|---|---|
| ratio | A comparison of two quantities by division. |
| part-to-part | A ratio comparing one quantity to another quantity of the same kind. |
| part-to-whole | A ratio comparing one part to the total. |
| rate | A ratio comparing quantities with different units, such as miles per hour. |
| proportion | An equation showing that two ratios are equal. |
| unit rate | A ratio with a denominator of 1, used to compare efficiency or speed. |
Display two quick fitness examples, such as 12 push-ups to 18 squats and 3 miles in 24 minutes. Ask students to identify the ratios and discuss how they might be simplified.
Individually write the ratios, then share answers with a partner.
Explain how ratios can describe workout plans, performance data, and progress tracking. Model one example using a common factor to simplify a ratio and one example finding a unit rate.
Listen, take notes, and ask clarifying questions.
Provide 3-4 short scenario cards, such as comparing sets of exercises, step counts, or heart rate recovery times. Work through the first problem together, then circulate as students solve the rest.
Solve problems in pairs, showing all steps and labeling units.
Present one multi-step problem involving ratio comparison and interpretation, such as comparing two training sessions or calculating a recipe-like workout ratio. Encourage precise reasoning and checking.
Work independently to solve the problem and write a brief explanation of what the ratio means in the PE setting.
Select volunteers to present answers. Clarify errors and highlight correct reasoning, especially when interpreting ratios in context.
Explain their solutions and compare methods with the class
Ask students to complete an exit response: 'How can ratios help someone improve a workout plan or track performance?'
Write a short response and submit it before leaving.
Reinforce that ratios are useful for comparing exercise quantities, measuring efficiency, and making informed training decisions. Collect exit responses as students leave.
Formative assessment will come from observation during guided practice, review of independent problem-solving work, and the exit response. Students must accurately compute and interpret at least one ratio in a physical education context to demonstrate understanding.