Grade 4/Geometry
Area of Composite Figures (1122)
Calculate the area of L-shaped composite figures.
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Quick Tip
Split the shape into two rectangles. Calculate the area of each rectangle and add them together.
Teacher Resources
Teaching Notes
This collection focuses on area of composite figures. Use grid paper to help students visualize area and perimeter.
Vocabulary
Composite Figure: A shape made of smaller shapes.
Area: Space inside a 2D shape.
Common Mistakes
- Confusing Area and Perimeter formulas
- Forgetting to double the sides for Perimeter
- Using wrong units (e.g., cm instead of sq cm for Area)
- Missing a dimension
- Incorrect decomposition
- Confusing area with perimeter
- Forgetting units
Differentiation
SupportHave students trace shapes on grid paper and count squares.
ChallengeChallenge students to find multiple rectangles with the same area but different perimeters.
Discussion Questions
- What is the difference between Area and Perimeter?
- Can two rectangles have the same perimeter but different areas?
- Why do we use 'square' units for area?
- What are different ways to decompose this figure?
- Why does decomposing help find the area?
- When might you use this skill in real life?
- How is this different from finding perimeter?
Extension Activities
- Measure the classroom floor area.
- Design a garden with a specific perimeter.
- Create art using only rectangles of specific areas.
Parent Tip
Have your child draw a house and calculate its total area.
Learning Path
Skill Cluster
Geometry & Measurement
Estimated Time
20 minutes
Skills Practiced
area of composite figures
Prerequisites
- 1121
- Area of Rectangles
- Multiplication with Whole Numbers
Next Steps
- Area of Triangles
- Area of More Complex Polygons
- Volume of Rectangular Prisms
- Area of Rectangles
- Perimeter of Rectilinear Shapes