Module 4 Lesson 16 (2)
- 1. Multiplication and Area Topic D: Applications of Area Using Side Lengths of Figures Module 4: Lesson 16 Objective: Apply knowledge of area to determine areas of rooms in a given floor plan.
- 2. Fluency Practice (15 minutes) Group Counting (3 min) • Sixes to 60 • Sevens to 70 • Eights to 80
- 3. Fluency Practice (15 minutes) Multiply by 9 (7 minutes) 6 x 9 = _______ Let’s skip count by nines to solve. 9, 18, 27, 36, 45, 54 • Let’s see how we can skip count down to find the answer too. Start at 90. 90, 81, 72, 63, 54 • Let’s skip count up again by starting at 45. 45, 54 Continue with the following sequence: 8 x 9, 7 x 9, and 9 x 9.
- 4. Fluency Practice (15 minutes) Multiply by 9 pattern sheet (2 min) Let’s practice multiplying by 9. Be sure to work left to right across the page.
- 5. Fluency Practice (15 minutes) Find the area (5 min) Find the areas of the large rectangle and the unshaded rectangle. Then subtract to find the area of the shaded region. Area = ___ square inches.
- 6. Fluency Practice (15 minutes) Find the area (5 min) Continue with the following figures.
- 7. Concept Development (35 minutes) Today you will continue to find the area in square centimeters of each room in the house. • Optional: Create a floor plan with different side lengths for given areas. • If students finish early on the second day, they may work with a partner to create a floor plan with the areas of the rooms that they found. The task is for students to find new side lengths for each room. Students should use their answers from the Problem Set to ensure that they find different side lengths with the same area. After they find new side lengths, they mark each room on centimeter grid paper and then cut the rooms out. They will use these centimeter grids to fit the rooms together to make their floor plan. They will glue their final arrangement of rooms onto a piece of construction paper. Allow students a few minutes to do a gallery walk of the completed floor plans.
- 8. Concept Development (35 minutes) Here is an example of a floor plan.
- 9. Concept Development (35 minutes) Optional: Review strategies to find new side lengths of given areas. Yesterday you found the areas of the rooms in a floor plan that your clients designed. They like the area of each room, but they want to change the way the rooms look. Your job today is to create rooms with the same areas, but with different side lengths. Are you up for the challenge architects?
- 10. Concept Development (35 minutes) • Look at the Problem Set. What is the area of the hallway? Yes, 24 square centimeters. • What are possible side lengths you can have for the hallway and still have the same area? 3 and 8, 1 and 24, 2 and 12, and 6 and 4. • Talk to a partner: Which of these choices was used in the floor plan? 8 and 3; the numbers are just switched. • So when you redesign the floor plan today, be sure you don’t use that combination!
- 11. Concept Development (30 minutes) • We can break the room up into two smaller rectangles and add their areas together. Or we can also break apart one of the factors in 7 × 15 to come up with a multiplication sentence that is easier to solve. • Decide with your partner which strategy you’ll use to find the area. Then solve. • What is the area of Amir’s bedroom? Yes! 105 square feet. • Share which strategy that you used to solve the problem.
- 12. Problem Set (25 minutes) You have 25 minutes to complete the problem set pages. Debrief (10 minutes) Let’s 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 3-4 Lesson 16 Homework Worksheet Is Due Tomorrow!