Grade 5/Geometry
Compare Area and Perimeter Statements: Multiple Choice (712)
Decide which statement about the areas and perimeters of two rectangles is correct.
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Standards
CCSS.MATH.CONTENT.3.MD.C.5Teaching Notes
Emphasize calculating both attributes first. Discuss how shapes with similar perimeters can have different areas, and vice versa.
Vocabulary
Area: The space inside a 2D shape.
Perimeter: The distance around a 2D shape.
Common Mistakes
- Choosing a statement without computing both values
- Confusing which rectangle is A or B
- Thinking equal area automatically means equal perimeter
- Mixing area and perimeter calculations.
- Calculation errors for area or perimeter.
- Misinterpreting comparative language.
- Only comparing one attribute, not both.
Differentiation
SupportUse grid paper for visual support.
ChallengeExplore how changing one dimension affects both area and perimeter.
Discussion Questions
- Can two rectangles have the same area but different perimeters?
- Can two rectangles have the same perimeter but different areas?
- Why is it important to calculate both attributes before comparing?
- How do you check if your chosen statement is truly correct?
Extension Activities
- Find shapes with equal area but different perimeters.
- Find shapes with equal perimeters but different areas.
Parent Tip
Use blocks to build different rectangles and compare their areas and perimeters.
Learning Path
Skill Cluster
Measurement and Geometry
Estimated Time
15 minutes
Skills Practiced
Computing area and perimeter quicklyInterpreting comparative statementsExplaining differences between area and perimeter
Prerequisites
- Area and perimeter of rectangles
- Calculating Area of Rectangles
- Calculating Perimeter of Rectangles
Next Steps
- Area and Perimeter of Composite Figures
- Solving for Unknown Dimensions
- Area & Perimeter: Unknown Side Lengths
- Matching Areas and Perimeters
- Creating Rectangles with Specific Attributes