Module 4 Lesson 14
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This document provides the lesson plan and objectives for a mathematics lesson on finding the area of rectangles and composite shapes by decomposing them or combining parts. The lesson includes activities on skip counting by various numbers, practicing finding the area of rectangles and composite shapes, and solving word problems involving subtracting areas. Students will complete an exit ticket to assess their understanding and are assigned a homework worksheet to be turned in the next day.
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Module 4 Lesson 14
- 1. Multiplication and Area Module 4: Lesson 14 Objective: Find areas by decomposing into rectangles or completing composite figures to form rectangles.
- 2. Group Counting (3 minutes) Direct students to count forward and backward, occasionally changing the direction of the count. โข Fours to 40 โข Sixes to 60 โข Sevens to 70 โข Nines to 90
- 3. Multiply by 8 (7 Minutes) โข Write 6 ร 8 = .) Letโs skip-count up by eights to solve. (Count with fingers to 6 as students count.) โข Letโs skip-count down to find the answer, too. Start at 80. (Count down with fingers as students count.) โข Letโs skip-count up again to find the answer, but this time start at 40. (Count up with fingers as students count.) โข Continue with the following possible sequence: 8 ร 8, 7 ร 8, and 9 ร 8. โข Distribute Multiply by 8 pattern sheet.
- 4. Find the Area (5 minutes) On your boards, write a number sentence to show the area of the shaded rectangle. โข Write a number sentence to show the area of the unshaded rectangle. โข (Write __ sq units + __ sq units = __ sq units.) Using the areas of the shaded and unshaded rectangle, write an addition sentence to show the area of the entire figure.
- 5. Find the Area โข Continue with the other figures.
- 6. Application Problem (5 minutes) โข Break apart the shaded figure into 2 rectangles. Then add to find the area of the shaded figure below. โข Subtract the area of the unshaded rectangle from the area of the large rectangle to check your answer in Part (a).
- 8. Concept Development (30 minutes) Problem 1: Choose an appropriate method for finding the area of a composite shape. โข What two strategies did we learn yesterday to find the area of a non-rectangular shape?
- 9. Concept Development (30 minutes) โข Look at the figure in Problem 1(a). What is the unknown width? โข Label that on your figure. Then write the equation used to find the area of each of the smaller rectangles. โข What is the area of the top rectangle? What is the area of the bottom rectangle? โข On your Problem Set, write the number sentence used to find the area of the whole figure. Be sure to answer in a complete sentence! What is the total area of the figure? โข Continue with Problem 1 (b) from the Problem Set
- 10. Problem 2: Solve a word problem involving area of non- rectangular shapes. Fanny has a piece of fabric 8 feet long and 5 feet wide. She cuts out a rectangular piece that measures 3 feet by 2 feet. How many square feet of fabric does Fanny have left? โข Draw and label Fannyโs fabric. How big is the piece that Fanny cuts out? โข Work with your partner to draw the piece of fabric that Fanny cuts out. Label the measurements of the piece being cut out. โข Whatโs the best way for us to find the area of the remaining fabric?
- 11. โข Write an equation to find the area of the original piece of fabric. โข Beneath what you just wrote, write a number sentence to find the area of the piece of fabric Fanny cuts out. โข What is the area of the piece that is cut out? โข What expression tells us the area of the remaining fabric? โข 40 โ 6 equals? โข How much fabric does Fanny have left?
- 12. Problem Set (10 minutes) You have 10 minutes to complete the problem set pages. Debrief (10 minutes) Letโs review your solutions for the problem set.
- 13. Exit Ticket (3 minutes) This is where you are going to show us that you understand what we learned today! We will learn if you are ready for the next lesson!
- 14. Homework Lesson 14 Homework Worksheet Is Due Tomorrow!