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# Area of Composite Shapes

Lesson 4 of 37

## Objective: SWBAT find the area of composite shapes by finding the sum of the areas of its component shapes

*45 minutes*

#### Introduction

*10 min*

I will hold up a triangle and a rectangle. I will put them together to make one shape. I will then ask the essential question: How can you determine the area of a composite shape? When students mention the various formulas that could be used to find the area they are modeling with mathematics (**MP4**). I will ask these questions as THINK-PAIR-SHARE questions. I want the students to generate steps to solving area problems before I present them with a list. We will finalize the list of steps and I will model 1-2 problems for the students. A grid is provided but only as a tie-in to the previous lesson.

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#### Guided Practice

*10 min*

Students work in pairs to solve the problems. Many of these problems are similar or identical to problems from the previous day. The only difference is that students are expected to make all subdivisions without using graph paper. Being able to make subdivisions to identify composite shapes goes with **MP7**. I will make sure students are clearly labeling their work – especially the formulas for the individual shapes (**MP6**).

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#### Independent Practice

*15 min*

If students are able to perform these without difficulty we will move directly into independent work. I will then assist students who continued to struggle with the guided practice. For the first few problems, I’ll be on the lookout for students who incorrectly treat the shape as 1 large rectangle. I expect a few students will correctly solve problems 1 & 4 using a subtraction method. That is okay. If it occurs I will present it as another way when we go over solutions.

#### Resources

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I will look for two different examples of correct solutions for each problem. We will discuss them briefly. I will repeat the essential question and ask or cold call for student responses. Students will then take the exit ticket solving problems similar to the examples.

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Thank you for this great lesson. I love how you move from squares/rectangles & triangles, then go to circles-- so many lessons try to throw it all together and it just becomes overwhelming to the students.

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- LESSON 1: Explore Perimeter and Area of Composite Shapes
- LESSON 2: Perimeter of Irregular Rectilinear Shapes
- LESSON 3: Area of Composite Shapes Using a Grid
- LESSON 4: Area of Composite Shapes
- LESSON 5: Area of Regions Formed by Inscribed Shapes
- LESSON 6: CORNERSTONE:Circle Ratios: Diameter to Radius; Circumference to Diameter
- LESSON 7: CORNERSTONE: Circumference Formula
- LESSON 8: Area of a Circle
- LESSON 9: Circumference & Area Fluency Practice
- LESSON 10: Finding the Radius From a Given Circumference or Area
- LESSON 11: Circumference from Area / Area from Circumference
- LESSON 12: Circle Designs: Finding the Area and Perimeter of Shapes Composed of Arcs and Line Segments
- LESSON 13: Assessment_Area and Perimeter (Circumference) of Composite Shapes and Circles
- LESSON 14: Drawing Prisms & Pyramids
- LESSON 15: Describe Prisms and Pyramids Using Algebra
- LESSON 16: Using Nets to Find the Surface Area of Prisms
- LESSON 17: Using a Formula to Find the Surface Area of Prisms
- LESSON 18: Finding the surface area of triangular prisms using a net
- LESSON 19: Finding the Surface Area of a Triangular Prism Using A Formula
- LESSON 20: Discovering the Formula for the Surface Area of A Cylinder
- LESSON 21: Finding the Surface Area of Cylinders Using a Formula
- LESSON 22: Practice Day: Surface Area of Prisms & Cylinders
- LESSON 23: Surface Area of Prisms and Cylinders Assessment
- LESSON 24: Finding the Surface Area of Pyramids Using Nets
- LESSON 25: Finding the Surface Area of Pyramids Using a Formula
- LESSON 26: Surface Area of Composite Shapes
- LESSON 27: Surface Area of Composite Shapes With Holes
- LESSON 28: Surface Area Assessment
- LESSON 29: 3-D Models from 2-D Views
- LESSON 30: Exploring Volume and Surface Area with Unifix Cubes
- LESSON 31: Explore Volume of Rectangular Prisms
- LESSON 32: Find the Volume of Prisms Using a Formula
- LESSON 33: Volume Of Cylinders Using a Formula
- LESSON 34: Volume of Composite Shapes
- LESSON 35: Volume and Surface Area - Accelerated Math Fluency Day
- LESSON 36: Volume of Pyramids
- LESSON 37: Surface Area and Volume Final Assessment