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Second/Geometry

Irregular Area on Grids

Count square tiles in irregular festival layouts to compute area, reinforcing array reasoning beyond perfect rectangles.
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What to Do Next
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The Coral Reef Stage floor is a rectangle measuring 12 m by 7 m. How many square meters of foam flooring are needed? 🎤

Practice Questions

  1. Wave lounge tiles uses square tiles in this layout. How many square meters of tile does this shape use? 🌊
    Show answer

    (A) 10 square meters

  2. Snack bar patio uses square tiles in this layout. How many square meters of tile does this shape use? 🥨
    Show answer

    (A) 12 square meters

  3. Ticket booth deck uses square tiles in this layout. How many square meters of tile does this shape use? 🎫
    Show answer

    (A) 14 square meters

  4. Ferris queue mat uses square tiles in this layout. How many square meters of tile does this shape use? 🎡
    Show answer

    (A) 15 square meters

  5. Garden bridge tiles uses square tiles in this layout. How many square meters of tile does this shape use? 🌉
    Show answer

    (A) 16 square meters

Teacher Resources
Standards
CCSS.MATH.CONTENT.3.MD.C.5
Teaching Notes

Emphasize decomposing composite shapes into simpler rectangles. Reinforce that area is measured in square units.

Vocabulary
Area: The space inside a 2D shape.
Square unit: A square with sides of one unit.
Common Mistakes
  • Skipping isolated squares or counting empty grid spaces
  • Forgetting to include the final row or column when adding
  • Mixing up square meters with linear meters
  • Missing squares
  • Double-counting squares
  • Incorrect units
  • Calculating perimeter instead
Differentiation
SupportUse physical square tiles or color-coding.
ChallengeDesign complex shapes for peers to solve.
Discussion Questions
  • How can you split this irregular shape?
  • Why is counting squares reliable for area?
  • What if the unit squares were different sizes?
  • How does this connect to rectangle area?
Extension Activities
  • Draw shapes with a specific area.
  • Estimate area by counting.
  • Find area of irregular shapes.
Parent Tip

Use graph paper to draw shapes and count squares together.

Learning Path
Skill Cluster

Measurement & Geometry

Estimated Time

18 minutes

Skills Practiced
Decomposing irregular shapes into rectanglesCounting square units preciselyExpressing area with correct unitsUsing multiplication to speed up counting