Mathematics · Grade 5
Multiply Fractions and Explain Scaling
Connect a fraction of a quantity to equal groups. Multiply selected fractions and interpret unit-fraction division. Use an area model and reason about scaling.
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Explore the related learning targets, foundations and possible next connections.
Learning goals
- Connect a fraction of a quantity to equal groups.
- Multiply selected fractions and interpret unit-fraction division.
- Use an area model and reason about scaling.
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
Multiply Fractions and Explain Scaling
Practice · Independent · 30 min
Connect a fraction of a quantity to equal groups. Multiply selected fractions and interpret unit-fraction division. Use an area model and reason about scaling. A complete set with exploration, practice and application. Use the linked unit for the learning sequence and teaching guide.
1. Explore
Multiply Fractions and Explain Scaling: Explore and Explain
Explore · Independent · 10 min
Connect a fraction of a quantity to equal groups. Multiply selected fractions and interpret unit-fraction division. Use an area model and reason about scaling. A focused learn activity. Use the linked unit for the learning sequence and teaching guide.
2. Practice
Multiply Fractions and Explain Scaling: Practice Independently
Practice · Independent · 15 min
Connect a fraction of a quantity to equal groups. Multiply selected fractions and interpret unit-fraction division. Use an area model and reason about scaling. A focused practice activity. Use the linked unit for the learning sequence and teaching guide.
3. Apply
Multiply Fractions and Explain Scaling: Apply and Create
Apply · Independent · 20 min
Connect a fraction of a quantity to equal groups. Multiply selected fractions and interpret unit-fraction division. Use an area model and reason about scaling. A focused apply activity. Use the linked unit for the learning sequence and teaching guide.
Teaching and response guide
- Begin with: Find 2/3 of 12.
- Connect the response to: Calculate 2/3 × 1/2. Simplify.
- Ask students to apply the idea: Draw a unit rectangle divided into 3 columns and 2 rows. Shade 2/3 of the width and 1/2 of the height. Label the overlap fraction.
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.
Possible next goals
Choose the next unit when its prerequisites fit your learner.