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We will find the area of composite shapes.

Learning Objective. We will find the area of composite shapes. What are we going to learn?. CFU. Activate Prior Knowledge. The area of a rectangle is the amount of space that covers a whole rectangle. Find the area of rectangles. Hint: Multiply side lengths. 1. 7 units. 2 units.

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We will find the area of composite shapes.

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  1. Learning Objective We will find the area of composite shapes. What are we going to learn? CFU Activate Prior Knowledge The area of a rectangle is the amount of space that covers a whole rectangle. Find the area of rectangles. Hint: Multiply side lengths. 1. 7 units 2 units Students, you already know how to find the area of rectangles by multiplying side lengths. Now, we will use the area of rectangles to find the area of composite shapes. Make Connection 7 units × 2 units = 14 square units 4 units 2. 3 units 4 units × 3 units = 12 square units

  2. Concept Development Acomposite shapeis made up of two or moreshapes. Acomposite shapecan be splitinto rectangles to find the area. • Add the area of each rectangle to find the area of a composite shape. Find the Area of Composite Shapes CFU Which shape below is a composite shape? How do you know? A B How could the composite shape below be split to find the area? Why did you split the shape that way? 4 units 4 units 4 units 4 units 16 square units 4 units 4 units 12 square units 3 units 3 units 8 square units 2 units 2 units 4 units 4 units 16 square units +12 square units +8square units =36 square units The area of the compositeshape is 36 square units.

  3. Skill Development/Guided Practice • A composite shapecan be splitinto rectangles to find the area. • Add the area of each rectangle to find the area of a composite shape. Vocabulary 1 find How did I/you split the composite shape into rectangles? How did I/you find the area of the composite shape? How did I/you interpret the area of the composite shape? CFU 2 explain Find the area of composite shapes. 2 Read the problem and identify1 what is asked. (underline). Split the composite shape into rectangles. Find the area of each rectangle. Find the area of the composite shape. Hint: Add the areas of each rectangle. Interpret2 the area of the composite shape. Hint: Answer the question. 1 2 4 3 5 4 5 1. What is the area of the hallway? 2. What is the area of the grass? 4 units 4 units 4 units× 2 units= 4 units× 3 units= 2 units 8 squareunits 3 units 12 squareunits 9 units× 2 units = 2 units 6 units 18 squareunits 9 units 7 units× 3 units = 3 units 8 square units + 18 square units = 26 square units 21 squareunits 7 units 26 square units grass The area of the _________ is _____________. 12 square units + 21 square units = 33 square units 33 square units The area of the _________ is _____________. hallway

  4. Skill Development/Guided Practice (continued) • A composite shapecan be splitinto rectangles to find the area. • Add the area of each rectangle to find the area of a composite shape. How did I/you split the composite shape into rectangles? How did I/you find the area of the composite shape? How did I/you interpret the area of the composite shape? CFU Find the area of composite shapes. 2 Read the problem and identify what is asked. (underline). Split the composite shape into rectangles. Find the area of each rectangle. Find the area of the composite shape. Hint: Add the areas of each rectangle. Interpret the area of the composite shape. Hint: Answer the question. 1 2 4 3 5 4 5 3. How many square units is the patio? 4. How many square units is the garden? 4 units 4 units× 3 units= 4 units× 2 units= 3 units 2 units 4 units× 2 units 12 squareunits 8 squareunits 4 units 9 units× 4 units= 9 units 36 squareunits 6 units 4 units× 6 units= 3 units 6 units× 4 units 3units×3units= 24 squareunits 3 units 9 squareunits 3 units× 2 units= 3 units× 2 units 2 units 6 squareunits 3 units 4 units 4 units 12 square units + 9 square units + 36 square units = 57 square units 8 square units + 24 square units + 6 square units = 38 square units garden 38 square units The _________ is _____________. The _________ is _____________. patio 57 square units

  5. Skill Development/Guided Practice (continued) How did I/you determine what the question is asking? How did I/you determine the math concept required? How did I/you determine the relevant information? How did I/you solve and interpret the problem? How did I/you check the reasonableness of the answer? CFU 1 2 3 4 5. Hanna is building a desk in the shape shown below. a. Find the missing side lengths. b. What is the total area of the desk? 6. Caesar wants to tile his kitchen shown below. a. Find the missing side lengths. b. What is the total area of his kitchen floor? 5 4 m 4 ft 76 4 m 5 ft× 9 ft = 7 ft 9 m × 4 m = 9 ft 45 squarefeet 5 m × 8 m = 5 ft× 7 ft = 36 squaremeters m m ft ft 5 m 35 squarefeet 40 squaremeters 12 m 12 ft Total area: m2 Total area: ft2

  6. Relevance • A composite shapecan be splitinto rectangles to find the area. • Add the area of each rectangle to find the area of a composite shape. 1 Finding the area of composite shapes will help you solve real-life problems. Grace is carpeting the hallway in her house. She first finds the area of the hallway to be sure she buys the correct amount of carpet. The area of the hallway is 16 square units. 8 square units 8 square units Finding the area of composite shapes will help you do well on tests. 2 • Sample Test Question • 35. What is the area of the composite shape? Does anyone else have another reason why it is relevant to find the area of composite shapes? (Pair-Share) Why is it relevant to find the area of composite shapes? You may give one of my reasons or one of your own. Which reason is more relevant to you? Why? CFU 3 units 3 units 5 units 2 units A 13 units B 15 square units C 26 units D 21 square units

  7. A composite shapecan be splitinto rectangles to find the area. • Add the area of each rectangle to find the area of a composite shape. Skill Closure Find the area of composite shapes. Read the problem and identify what is asked. (underline). Split the composite shape into rectangles. Find the area of each rectangle. Find the area of the composite shape. Hint: Add the areas of each rectangle. Interpret the area of the composite shape. Hint: Answer the question. 1 2 3 4 5 Word Bank square unit split rectangle space 1. What is the area of the hallway? 5 units 5 units × 2 units = 2 units 10 square units 10 square units + 12 square units = 22 square units 3 units × 4 units = 4 units 12 square units 22 square units hallway The area of the _________ is _____________. Access Common Core 3 units Explain how you would split the composite shape to find the area. Summary Closure What did you learn today about finding the area of composite shapes? (Pair-Share) Use words from word bank.

  8. Independent Practice • A composite shapecan be splitinto rectangles to find the area. • Add the area of each rectangle to find the area of a composite shape. Find the area of composite shapes. Read the problem and identify what is asked. (underline). Split the composite shape into rectangles. Find the area of each rectangle. Find the area of the composite shape. Hint: Add the areas of each rectangle. Interpret the area of the composite shape. Hint: Answer the question. 1 2 3 4 5 1. What is the area of the pool? 2. How many square units is the floor? 3 units 7 units 7 units × 5 units = 5 units 4 units×3 units= 35 square units 4 units 12 squareunits 3 units×2 units= 2 units 6 squareunits 4 units × 4 units = 3 units 4 units 6 units×2 units= 16 square units 2 units 12 squareunits 6 units 4 units 35 square units + 16 square units = 51 square units 6 square units + 12 square units + 12 square units = 30 square units 51 square units 30 square units pool floor The area of the _________ is _____________. The _________ is _____________.

  9. Independent Practice (continued) 3. Julie is installing carpet in her bedroom shown below. a. Find the missing side lengths. b. What is the total area of her bedroom floor? 4. Tomas is building a stage in the shape shown below. a. Find the missing side lengths. b. What is the total area of the stage? 3 yd 2 m 2 m 3 m 3 m 44 4 yd 7 × 2 = 7 × 2 = 4 m 8 yd × 3 yd = 7 m 14 sqmeter 14 sqmeter 6 yd × 4 yd = 24 squareyard 4 × 4 = m m yd yd 4 yd 24 squareyard 16 sqmeter 9 yd Total area: Total area: yd2 m2

  10. Periodic Review 1 Find the area of composite shapes. 6 units 1. How many square units is the pig pen? 5 units 5 units 80 square units pig pen The _________ is _____________. 10 units Access Common Core 1. Which shape below would have to be split before finding the area? Explain how you know the shape must be split. C A B 2. Draw an example of a composite shape. Explain how you would find the area of the composite shape you have drawn. Drawings will vary. To find the area of the composite shape, you can divide it into smaller rectangles and add up the area of the rectangles. Shape B needs to be split to find the area because it is a composite shape.

  11. Periodic Review 2 Find the area of composite shapes. 15 units 1. How many square units is the grass? 4 units 4 units The _________ is _____________. grass 88 square units 7 units Access Common Core 1. Describe the steps you would take to find the area of the composite shape below. I would split the shape into smaller rectangles, find the areas of the smaller rectangles, then add them all up to get the total area. 2. Which shape below would NOT have to be split before finding the area? Explain how you know the shape does NOT have to be split. C A B Shape C does not have to be split because it is not a composite shape. The area can be found by multiplying the side lengths.

  12. Periodic Review 3 Find the area of composite shapes. 9 units 1. What is the area of the shape? 3 units 4 units 3 units 6 units The area of the shape is ___________. 69 square units 5 units Access Common Core 1. Maria and Marcus split a composite shape to find the area. They both split the shape in a different way. Who split the shape correctly? Explain. 2. Stephen is having trouble finding the area of his lawn because it is a composite shape. Help Stephen by describing how you would find the area of his lawn. Maria Marcus Maria split the composite shape correctly because she split it into smaller rectangles. Stephen could view his lawn as three smaller rectangles, find the area of the rectangles, then add them to find the total area.

  13. EDI – Cognitive, Teaching, and English Learner Strategies Cognitive Strategies Teaching Strategies Language Strategies Content Access Strategies

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