Mathematics · Grade 7
Proportions and Percent Applications
Identify a constant rate and proportional rule. Calculate fractional-hour costs, discounts and percent changes. Compare reference wholes and proportional versus fee models.
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Learning goals
- Identify a constant rate and proportional rule.
- Calculate fractional-hour costs, discounts and percent changes.
- Compare reference wholes and proportional versus fee models.
Before you begin
Use the prerequisite representations before moving to independent work.
Age and grade do not measure readiness. Adjust reading or adult support to preserve the intended learning goal.
Follow the sequence
Complete practice
Proportions and Percent Applications
Practice · Independent · 30 min
Identify a constant rate and proportional rule. Calculate fractional-hour costs, discounts and percent changes. Compare reference wholes and proportional versus fee models. A complete set with exploration, practice and application. Use the linked unit for the learning sequence and teaching guide.
1. Explore
Proportions and Percent Applications: Explore and Explain
Explore · Independent · 10 min
Identify a constant rate and proportional rule. Calculate fractional-hour costs, discounts and percent changes. Compare reference wholes and proportional versus fee models. A focused learn activity. Use the linked unit for the learning sequence and teaching guide.
2. Practice
Proportions and Percent Applications: Practice Independently
Practice · Independent · 15 min
Identify a constant rate and proportional rule. Calculate fractional-hour costs, discounts and percent changes. Compare reference wholes and proportional versus fee models. A focused practice activity. Use the linked unit for the learning sequence and teaching guide.
3. Apply
Proportions and Percent Applications: Apply and Create
Apply · Independent · 20 min
Identify a constant rate and proportional rule. Calculate fractional-hour costs, discounts and percent changes. Compare reference wholes and proportional versus fee models. A focused apply activity. Use the linked unit for the learning sequence and teaching guide.
Teaching and response guide
- Begin with: Write rental cost c for h hours.
- Connect the response to: Find the discount amount for the item.
- Ask students to apply the idea: Compare c = 3h and c = 3h + 5. Which is proportional? Explain.
Watch for: Check the meaning of each quantity, the operation and the units; a numerical answer alone does not show the full reasoning.
Check the answer criteria for each task. A supported explanation may have more than one acceptable response. These activities offer evidence to discuss; completing a sheet alone does not establish mastery.