- The problem demonstrates the Distributive Property using area models.
- A rectangle with dimensions 4 by 6 has an area of 4 × 6 = 24.
- This rectangle is split into two smaller rectangles: one 4 by 4 and another 4 by 2.
- The area of the first smaller rectangle is 4 × 4 = 16.
- The area of the second smaller rectangle is 4 × 2 = 8.
- Adding these areas gives 16 + 8 = 24, which equals the original area.
- This shows that 4 × 6 = 4 × (4 + 2) = 4 × 4 + 4 × 2.
- The Distributive Property states that a × (b + c) = a × b + a × c.
- In this case, a = 4, b = 4, and c = 2, so 4 × (4 + 2) = 4 × 4 + 4 × 2.
Parent Tip: Review the logic above to help your child master the concept of distributive property area model worksheet.