Area by Tiling

PROCEDURAL

Mathematics›Measurement|Ages 8—9|ID: mt_Jvvh5P06NV

Find the area of a rectangle by tiling it with unit squares and show that the result equals the product of the side lengths

Mastery Evidence

Tile a 4×6 rectangle and count 24 squares, then verify 4×6=24
Explain why the number of rows times the number in each row gives the area
Draw a rectangle on squared paper, tile it, and write the multiplication

Assessment Prompt

“If a rectangular room is 4 m long and 3 m wide, can [child] work out its area by tiling it with 1-metre squares in their head — and explain why that equals 4 × 3?”

Prerequisites1

Area (age 8+)
hardAges 8—9

Show full prerequisite tree

Area (age 8+) hard
Counting unit squares is prerequisite to connecting tiling to multiplication
- Understanding Area hard
  Must understand unit squares and area concept before measuring by counting
  - Measuring length (age 7+) soft
    Length measurement experience supports understanding area as a 2D measurement
    - Measuring length (age 6+) hard
      Using standard measurement tools extends measuring with non-standard units
      - Measuring length and height (age 5+) hard
        Measuring with iterated units extends Y1 beginning to measure length
        
        Comparing Lengths & Heights hard
        Measuring length with units requires first being able to compare lengths directly
        
        Measurable Attributes of Objects hard
        Comparing lengths/heights requires first identifying length as a measurable attribute
      - Measuring length soft
        Measuring with units benefits from ability to order and compare lengths
        
        Comparing Lengths & Heights hard
        Ordering 3 objects by length and indirect comparison extends direct length comparison
        
        Measurable Attributes of Objects hard
        Comparing lengths/heights requires first identifying length as a measurable attribute
    - Choosing measurement units soft
      Choosing appropriate tools builds on choosing appropriate units
      - Capacity and volume hard
        Using standard units for capacity extends from beginning to measure capacity
        
        Comparing Capacity hard
        Measuring capacity with units requires first being able to compare capacities
        
        Measurable Attributes of Objects hard
        Comparing capacity requires understanding capacity as a measurable attribute
      - Measuring length and height (age 5+) hard
        Using standard units for length extends from beginning to measure length
        
        Comparing Lengths & Heights hard
        Measuring length with units requires first being able to compare lengths directly
        
        Measurable Attributes of Objects hard
        Comparing lengths/heights requires first identifying length as a measurable attribute
      - Measuring mass and weight hard
        Using standard units for mass extends from beginning to measure mass
        
        Measuring mass and weight (age 4+) hard
        Measuring mass with units requires first being able to compare masses directly
        
        Measurable Attributes of Objects hard
        Comparing mass/weight requires first identifying mass as a measurable attribute

Unlocks1

Understanding angles (age 8+)
hardAges 8—9