Finding Area of Composite Figures

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Objective

I can calculate the area of composite figures by decomposing them into basic shapes.

Part 1 of 4

Warm-up video

Professor Dave Explains · 6:39Vetted channel

We don't generate video — this one is by Professor Dave Explains on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 4

Key concepts

3 concepts

  1. 1

    Area is expressed in square units, such as meters squared, because it measures the amount of surface a figure covers.

  2. 2

    The area of a parallelogram is found by multiplying the base by the height, which is similar to finding the area of a rectangle.

  3. 3

    To find the area of irregular shapes, you can break them into simpler shapes like rectangles, triangles, and semicircles, then add the individual areas together.

Part 3 of 4

Practice

12 questions

1

What is the area of a square with a side length of 8 cm?

2

A rectangle has a length of 12 meters and a width of 5 meters. What is its area?

Part 4 of 4

Exit ticket

Quick comprehension check

A composite figure is formed by a rectangle and a right triangle. The rectangle has a length of 10 cm and a width of 5 cm. The right triangle has a base of 5 cm and a height of 5 cm. Calculate the total area of the composite figure. Show your work.

Sample answer included in the free materials

Get the materials

Teacher guide, student handout, and slides — free, in Google Docs format

  • Teacher Guide

    Complete lesson plan with answer keys and alternate activities

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    Printable worksheet

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