Curriculum placement
Grade 4. This describes the skill, not a learner estimate.
Area and perimeter problems
Use rectangle area and perimeter formulas in context
Problem types
- Find the missing factor
- Choose the right kind of unit
- Same area, different border
- Same border, different area
- Meet both design conditions
- Can the design exist?
- Chain perimeter and area with decimal sides
- A different rectangle with the same perimeter
- A different rectangle with the same area
- Area or perimeter of joined rectangles
- Choose the rectangle formulas
- Perimeter to area and area to perimeter
- Length from area, then perimeter
Builds on
- Perimeter of a polygon
- Area of a rectangle
- Missing factors and quotients · Useful idea
The unknown side of a rectangle with a known area is a missing factor.
Leads to
- Structure of an expression · Extend the idea
Writing the area of a rectangle as length times width extends to binomial sides, whose area is a product of sums.
- Designs that meet geometric constraints · See it applied
A fixed amount of fence gives a rectangle whose area is found from one side length, a design constraint with a greatest area.
- Quadratic, rational, and exponential constraints · Extend the idea
Fixing the perimeter of a rectangle makes its area a quadratic function of one side.
Related skills
- Fractions of an area · Shared foundations
- Area of triangles and other polygons · Shared foundations
- Volume in unit cubes · Shared foundations
Open the interactive map to explore lessons and skill connections.