Area and the distributive property
Use tiling to demonstrate the distributive property: the area of a rectangle with sides a and (b+c) equals a×b + a×c; use area models to represent the distributive property
Share and support
Entire curriculum
1590 concepts · 8 subjects
Compare teaching approaches
Teaching approaches
Gakuva’s recommended starting approach is selected. You can still compare every option.
1 approach
If your child wants to work out 6 × 13 by splitting it into 6 × 10 and 6 × 3, can they draw a rectangle divided into two parts to show why that method works?
Use tiling to demonstrate the distributive property: the area of a rectangle with sides a and (b+c) equals a×b + a×c; use area models to represent the distributive property
Family records and proof options
Keep a record of your learning
Save photos, notes, and attendance. Export a proof packet for compliance or portfolio reviews.
Learning resources
External links for extra practice. They do not replace Gakuva’s teaching approach.
No additional resources are listed for this topic.
The teaching approach appears above.
Check understanding
- Tile a 3×(4+2) rectangle and show it decomposes into 3×4 and 3×2
- Use an area model to compute 6×13 as 6×10 + 6×3
- Draw an area model showing 5×(7+3) = 5×7 + 5×3
“If your child wants to work out 6 × 13 by splitting it into 6 × 10 and 6 × 3, can they draw a rectangle divided into two parts to show why that method works?”
Curriculum record
- Type
- Representational
- Subject
- Mathematics
- Domain
- Measurement
- Age range
- Ages 8–9