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McGraw Hill My Math Grade 3 Chapter 13 Lesson 8 Answer Key Area of Composite Figures
All the solutions provided in McGraw Hill My Math Grade 3 Answer Key PDF Chapter 13 Lesson 8 Area of Composite Figures will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 3 Answer Key Chapter 13 Lesson 8 Area of Composite Figures
A composite figure is made up of two or more figures. To find the area of a composite figure, decompose the figure into smaller parts.
Math in My World
Rectangle 2 A = l × w = 12 × 8 = (10 × 8) + (2 × 8) Decompose 12 as 10 + 2. = _________ + ____________ = ___________ The area of Rectangle 1 is ______________ square yards. The area of Rectangle 2 is ______________ square yards. Answer: A = l × w = 12 × 8 = (10 × 8) + (2 × 8) Decompose 12 as 10 + 2. = 80 + 16 = 96 The area of Rectangle 1 is 96 square yards. The area of Rectangle 2 is 96 square yards.
3. Add the areas. 80 + 96 = _______________ The area of the composite figure is _______________ square yards. Answer: 80 + 96 = 176 The area of the composite figure is 176 square yards.
Rectangles 2 and 3 A = l × w = 8 × 3 = ______________ square meters
3. Add the areas. 24 + 24 + 24 = ___________ The area of the composite figure is _____________ square meters. Answer: A = l × w = 12 × 2 = (10 × 2) + (2 × 2) Decompose 12 = 20 + 4 = 24 square meters A = l × w = 8 × 3 = 24 square meters Add the areas. 24 + 24 + 24 = 72 The area of the composite figure is 72 square meters.
Guided Practice
Independent Practice
Find the area of each composite figure. Show your work.
Problem Solving
HOT Problems
Question 10. Building on the Essential Question How is the operation of addition related to finding the area of a composite figure? Answer: First you find area of the rectangle. Then you find the second area and add both rectangles together.
McGraw Hill My Math Grade 3 Chapter 13 Lesson 8 My Homework Answer Key
Vocabulary Check
Question 5. Mathematical PRACTICE Plan Your Solution The floor will be covered in square tiles. If one square tile covers one square foot. how many tiles are needed? Answer: 100 tiles are needed
Test Practice
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- Grade 7 McGraw Hill Glencoe - Answer Keys
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| \(A=\) | \(in^2\) | ||
Explanation:
| \(A=\) | \(cm^2\) |
A necklace comes with a gold pendant. What is the area of the pendant in square centimeters?
Find the area of the shaded region. Round to the nearest tenth if necessary.
| \(A=\) | \(ft^2\) |
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Chapter 7, Lesson 3: Area of Composite Figures
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Area of Composite Figures Lesson Plan
Get the lesson materials.
Area of Composite Figures Guided Notes with Doodles | Sketch Notes Worksheets
Ever wondered how to teach the area of composite figures in an engaging way to your sixth and seventh grade students?
In this lesson plan, students will learn about finding the area of composite figures made up of rectangles, trapezoids, parallelograms, and triangles. Through artistic and interactive guided notes, check for understanding activities, a practice coloring worksheet, and a maze worksheet, students will gain a comprehensive understanding of this topic.
The lesson culminates with a real-life application activity where students will read and write about the real-life uses of the area of composite figures. This activity helps students make connections between the math they are learning and its practical applications in the real world.
- Standards : CCSS 6.G.A.1 , CCSS 7.G.B.6
- Topic : Area, Perimeter & Circumference
- Grades : 6th Grade , 7th Grade
- Type : Lesson Plans
Learning Objectives
After this lesson, students will be able to:
Calculate the area of composite figures by decomposing them into basic polygons
Divide up and calculate the area of different types of polygons (rectangles, trapezoids, parallelograms, and triangles) and then sum them up to find area of a composite figure
Apply the concept of area of composite figures to real-life situations and explain their significance
Prerequisites
Before this lesson, students should be familiar with:
basic operations with whole numbers and decimals
know how to substitute a number into a variable
Colored pencils or markers
Guided notes
Key Vocabulary
Composite figures
Parallelograms
Decomposing
Basic polygons
Introduction
As a hook, ask students why understanding the concept of area of composite figures is important in real life. You can provide an example such as, "Think about a garden that has a rectangular lawn and a triangular flower bed. How would you calculate the total area of the garden?" Use the last page of the guided notes as well as the FAQs below for additional ideas and examples related to real-life applications of area of composite figures.
Use the guided notes to introduce the topic of area of composite figures and how to calculate it by decomposing into basic polygons. Begin by explaining that composite figures are made up of multiple polygons, such as rectangles, trapezoids, parallelograms, and triangles. Emphasize that to find the total area of a composite figure, we need to find the individual areas of each component shape and then add them together.
Walk through the key points of the topic covered in the first two pages of the guided notes, such as:
Decomposing a composite figure into basic polygons.
Calculating the area of each individual shape using the appropriate formulas.
Adding the areas of all the individual shapes to find the total area of the composite figure.
Refer to the FAQ section below the guided notes for a walk through on how to teach these key points and for ideas on how to respond to common student questions.
Based on student responses and understanding, reteach any concepts that students may need extra help with. If your class has a wide range of proficiency levels, you can pull out students for reteaching while more advanced students begin working on the practice exercises.
Have students practice calculating the area of composite figures by using the practice worksheets provided in the resource. Walk around the classroom to answer any questions that students may have while they work on the worksheets.
Fast finishers can dive into the maze activity and color by number activity included in the resource for extra practice. You can assign it as homework for the remainder of the class.
Real-Life Application
Use the last page of the guided notes, "real life applications", to bring the class back together, and introduce the concept of real-life applications of the area of composite figures. Discuss how the area of composite figures is used in real-world situations to solve practical problems.
Refer to the FAQ section of the teaching resource for more ideas and examples on how to teach the real-life applications of the area of composite figures. This section provides additional resources and suggestions to help you engage and motivate your students with real-world connections.
Additional Self-Checking Digital Practice
If you’re looking for digital practice for area of composite figures, try my Pixel Art activities in Google Sheets. Every answer is automatically checked, and correct answers unlock parts of a mystery picture. It’s incredibly fun, and a powerful tool for differentiation.
Here is one activity to explore:
Area of Rectangles, Parallelograms, Trapezoids and Composite Figures Pixel Art
Additional Print Practice
A fun, no-prep way to practice area of composite figures is Doodle Math — they’re a fresh take on color by number or color by code. It includes multiple levels of practice, perfect for a review day or sub plan.
Here is one activity to try:
Area of Rectangles, Parallelograms, Trapezoids, Triangles, and Composite Figures
What is the formula for finding the area of a rectangle? Open
The formula for finding the area of a rectangle is length times width .
How do I find the area of a trapezoid? Open
To find the area of a trapezoid, use the formula: (base 1 + base 2) times height divided by 2 .
What is a parallelogram? Open
A parallelogram is a four-sided polygon with two pairs of parallel sides.
How do I find the area of a parallelogram? Open
To find the area of a parallelogram, multiply the base by the height .
What is a composite figure? Open
A composite figure is a shape made up of two or more basic polygons.
How do I find the area of a composite figure? Open
To find the area of a composite figure, decompose it into basic polygons and find the area of each individual polygon. Then, sum up the areas of all the individual polygons.
What are some real-life applications of finding the area of composite figures? Open
Some real-life applications of finding the area of composite figures include calculating the area of irregular-shaped gardens, determining the amount of paint needed for a mural on a wall with different shapes, and estimating the area of a park with various sections.
How can I engage students in learning about the area of composite figures? Open
To engage students in learning about the area of composite figures, you can use interactive activities such as color by code worksheets, mazes, and real-life math applications. These activities make the learning experience enjoyable and help to reinforce the concepts in a fun way.
Want more ideas and freebies?
Get my free resource library with digital & print activities—plus tips over email.
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