These 3 activities are designed to give students practice exploring area and perimeter of composite or irregular figures. Each challenge increases in difficulty, so the entire class could work through them, or they can be used to differentiate. The activities are great for partner work or math centers.
Activity 1: Students find area and perimeter of irregular polygons using a grid. This activity will reinforce formulas with the visual of a grid.
Activity 2: Students draw shapes to meet criteria. They will experiment with area and perimeter to try to meet requirements.
Activity 3: Students design an apartment on a grid following specific size requirements for rooms.
The activities are in PDF format. An answer key is provided for Activity 1. (The others will have varying answers based on your students' creativity!)
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Common Core Standards:
Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.
Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.
Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.