M4 L16 Powerpoint

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!