Mathematics · Grade 7
Calculate and Explain Signed Rational Numbers
Model signed addition and additive inverses. Add, subtract and multiply signed rational values. Interpret changes and justify sign and division conditions.
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Explore the related learning targets, foundations and possible next connections.
Learning goals
- Model signed addition and additive inverses.
- Add, subtract and multiply signed rational values.
- Interpret changes and justify sign and division conditions.
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
Calculate and Explain Signed Rational Numbers
Practice · Independent · 30 min
Model signed addition and additive inverses. Add, subtract and multiply signed rational values. Interpret changes and justify sign and division conditions. A complete set with exploration, practice and application. Use the linked unit for the learning sequence and teaching guide.
1. Explore
Calculate and Explain Signed Rational Numbers: Explore and Explain
Explore · Independent · 10 min
Model signed addition and additive inverses. Add, subtract and multiply signed rational values. Interpret changes and justify sign and division conditions. A focused learn activity. Use the linked unit for the learning sequence and teaching guide.
2. Practice
Calculate and Explain Signed Rational Numbers: Practice Independently
Practice · Independent · 15 min
Model signed addition and additive inverses. Add, subtract and multiply signed rational values. Interpret changes and justify sign and division conditions. A focused practice activity. Use the linked unit for the learning sequence and teaching guide.
3. Apply
Calculate and Explain Signed Rational Numbers: Apply and Create
Apply · Independent · 20 min
Model signed addition and additive inverses. Add, subtract and multiply signed rational values. Interpret changes and justify sign and division conditions. A focused apply activity. Use the linked unit for the learning sequence and teaching guide.
Teaching and response guide
- Begin with: Calculate −3 + 5.
- Connect the response to: Calculate 3 − (−5).
- Ask students to apply the idea: A score starts at −3, gains 5, then loses 2. Write and evaluate a signed expression.
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.