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Applications of Area Using Side
Lengths of Figures
Module 4: Lesson 15
Objective: Apply knowledge of area to determine
areas of rooms in a given floor plan.
Group Counting (3 minutes)
• Direct students to count forward and
backward, occasionally changing the direction
of the count.
• Threes to 43
• Sixes to 60
• Sevens to 70
• Eights to 80
Multiply by 9 (7 minutes)
Write 5 × 9 = .Let’s skip-count by nines to find the answer.
Count with fingers to 5 as students count.
Circle 45 and write 5 × 9 = 45 above it. Write 3 × 9 = . Let’s
skip-count up by nines again. Count with fingers to 3 as
students count.
Let’s see how we can skip-count down to find the answer,
too. Start at 45 with 5 fingers, 1 for each nine. Count down
with your fingers as students say numbers.
Multiply by 9 (7 minutes)
Multiply by 9 Pattern Sheet
Let’s practice multiplying by 9. Be sure to work
left to right across the page.
Find the Area (5 minutes)
On your boards, write a number sentence to show the area of the shaded
rectangle.
Write a number sentence to show the area of the unshaded rectangle.
Write __ sq units + __ sq units = __ sq units. Using the areas of the shaded
and unshaded rectangles, write an addition sentence to show the area of the
entire figure.
Find the Area (5 minutes)
Continue with the figures below:
What is the width?
Concept Development (35 minutes)
Materials: (S) Problem Set, ruler
For the next two days, you are going to be architects. Today you are
going to use a floor plan that your clients designed to find the area
in square centimeters of each room in the house. Look at the floor
plan. What will you need to do before you can find the areas?
Use your ruler to measure the side lengths of Bedroom 1 in
centimeters. What is the length?
Concept Development (35 minutes)
Materials: (S) Problem Set, ruler
What about the rooms that aren’t rectangles, how will you find their
areas?
What strategy can you use to find the area since this fact is so large?
Write an expression to show how to find the area of Bedroom 1.
What about the rooms that aren’t rectangles, how will you find their
areas?
Concept Development (35 minutes)
Materials: (S) Problem Set, ruler
Look at the floor plan and use what we’ve learned about
area to help you answer Problem 1. (Allow students time
to answer Problem 1.) Work with a partner to find the
areas of the rooms and the hallway in the floor plan.
Record the areas and the strategy you use to find each
area in the chart in Problem 2.
Problem Set (10 minutes)
Student Debrief (10 minutes)
Exit Ticket (3 minutes)
Homework
4-3 Lesson 15
Homework
Is Due Tomorrow!

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Module 4 lesson 15

  • 1. Applications of Area Using Side Lengths of Figures Module 4: Lesson 15 Objective: Apply knowledge of area to determine areas of rooms in a given floor plan.
  • 2. Group Counting (3 minutes) • Direct students to count forward and backward, occasionally changing the direction of the count. • Threes to 43 • Sixes to 60 • Sevens to 70 • Eights to 80
  • 3. Multiply by 9 (7 minutes) Write 5 × 9 = .Let’s skip-count by nines to find the answer. Count with fingers to 5 as students count. Circle 45 and write 5 × 9 = 45 above it. Write 3 × 9 = . Let’s skip-count up by nines again. Count with fingers to 3 as students count. Let’s see how we can skip-count down to find the answer, too. Start at 45 with 5 fingers, 1 for each nine. Count down with your fingers as students say numbers.
  • 4. Multiply by 9 (7 minutes) Multiply by 9 Pattern Sheet Let’s practice multiplying by 9. Be sure to work left to right across the page.
  • 5. Find the Area (5 minutes) On your boards, write a number sentence to show the area of the shaded rectangle. Write a number sentence to show the area of the unshaded rectangle. Write __ sq units + __ sq units = __ sq units. Using the areas of the shaded and unshaded rectangles, write an addition sentence to show the area of the entire figure.
  • 6. Find the Area (5 minutes) Continue with the figures below:
  • 7. What is the width? Concept Development (35 minutes) Materials: (S) Problem Set, ruler For the next two days, you are going to be architects. Today you are going to use a floor plan that your clients designed to find the area in square centimeters of each room in the house. Look at the floor plan. What will you need to do before you can find the areas? Use your ruler to measure the side lengths of Bedroom 1 in centimeters. What is the length?
  • 8. Concept Development (35 minutes) Materials: (S) Problem Set, ruler What about the rooms that aren’t rectangles, how will you find their areas? What strategy can you use to find the area since this fact is so large? Write an expression to show how to find the area of Bedroom 1. What about the rooms that aren’t rectangles, how will you find their areas?
  • 9. Concept Development (35 minutes) Materials: (S) Problem Set, ruler Look at the floor plan and use what we’ve learned about area to help you answer Problem 1. (Allow students time to answer Problem 1.) Work with a partner to find the areas of the rooms and the hallway in the floor plan. Record the areas and the strategy you use to find each area in the chart in Problem 2.
  • 10. Problem Set (10 minutes) Student Debrief (10 minutes) Exit Ticket (3 minutes)