We included HMH Into Math Grade 3 Answer Key PDF Module 2 Lesson 1 Understand Area by Counting Unit Squares to make students experts in learning maths.
HMH Into Math Grade 3 Module 2 Lesson 1 Answer Key Understand Area by Counting Unit Squares
I Can describe area. I can find the area of a figure by counting unit squares.
Spark Your Learning
Enya wants to cover a kitchen counter with 18 square tiles or circle tiles. Which tile shape covers the counter completely?
Show how Enya can find which tile shape covers the counter completely.
Answer:
Explanation:
Enya wants to cover a kitchen counter with 18 square tiles or circle tiles
Enya should use square tile as circle tile leaves gaps in middle
So, square tiles covers the counter completely.
Turn and Talk For the type of tile you chose, why are you able to completely cover the counter?
Answer:
There are no gaps formed when i place square tiles side by side. So, it can cover the counter completely.
Build Understanding
1. Mr. Gordon’s garden is in the shape of a rectangle. It is made from 4 unit squares. How might Mr. Gordon’s garden look?
Connect to Vocabulary
A unit square is a square with a side length of 1 unit.
Use a geoboard and rubber bands. Then show two different ways Mr. Gordon’s garden might look.
A. How are the figures alike? How do you know?
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B. How are the figures different? How do you know?
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Answer:
Explanation:
Mr. Gordon’s garden is in the shape of a rectangle
It is made from 4 unit squares
I drew 2 ways to show a rectangle
The figures are alike in their area as both covered 4 squares
Both are different as one is horizontal and the other is vertical.
C. Suppose Mr. Gordon wants to change the shape of his garden from a rectangle to any figure. He still wants the garden to be made from 4 unit squares. Draw another figure that Mr. Gordon could make.
Answer:
Explanation:
Mr. Gordon could make a square shaped garden
The square shape i drew above also covers 4 squares
So, the area is 4 square units
Therefore, Mr. Gordon could make a square shaped garden.
2. Marta is drawing designs for a garden. She draws the figures below. What is the area of each design in square units?
Connect to Vocabulary
Area is the measure of the number of unit squares needed to cover a surface. A unit square has an area of 1 square unit.
A. How can you find the area?
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B. What is the area of each design?
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Answer:
Explanation:
Marta is drawing designs for a garden
She draws the figures above
Area is the measure of the number of unit squares needed to cover a surface
A unit square has an area of 1 square unit
Design A covered 6 squares, B covers 5 squares, C covers 10 squares
So, Area of Design A is 6 square units, Design B is 5 square units and Design C is 10 square units.
Turn and Talk Was the area of some designs easier to find? Explain.
Answer:
Yes, area of some designs were easier to find as they have same number of columns for each row.
Check Understanding math Board
Question 1.
Dana draws this figure. Shade each unit square in the figure. What is the area? ____
Answer:
Explanation:
I shaded each square unit in the figure
It covers 7 squares
So, the area of the figure is 7 square units.
Count to find the area of the figure.
Question 2.
___ square units
Answer:
9 square units
Explanation:
The shaded shape in the above grid covers 9 squares
So, the area of the shape is 9 square units
Question 3.
___ square units
Answer:
8 square units
Explanation:
The shaded shape in the above grid covers 8 squares
So, the area of the shape is 8 square units.
Question 4.
___ square units
Answer:
13 square units
Explanation:
The shaded shape in the above grid covers 13 squares
So, the area of the shape is 13 square units.
On Your Own
Question 5.
Reason Etta’s sheet of paper has an area of 12 square units. Pam’s sheet of paper is a different shape from Etta’s paper. Can Pam’s sheet of paper also have an area of 12 square units? Explain your thinking.
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Answer:
yes, the shape of the paper may be different but the area of the shape can be same if both the shapes cover same number of squares
So, Pam’s sheet of paper can also have an area of 12 square units.
Count to find the area of the figure.
Question 6.
___ square units
Answer:
12 square units
Explanation:
The shaded shape in the above grid covers 12 squares
So, the area of the shape is 12 square units.
Question 7.
___ square units
Answer:
12 square units
Explanation:
The shaded shape in the above grid covers 12 squares
So, the area of the shape is 12 square units.
Question 8.
___ square units
Answer:
10 square units
Explanation:
The shaded shape in the above grid covers 10 squares
So, the area of the shape is 10 square units.
Question 8.
Open Ended Otto and Shaw each have a rug. The rugs are different shapes. Each rug has an area of 8 square units. Show two different rug shapes, each made from 8 unit squares.
Answer:
Explanation:
Otto and Shaw each have a rug
The rugs are different shapes
Each rug has an area of 8 square units
I drew 2 ways to show different shapes how the rug could be.
I’m in a Learning Mindset!
What would I like to learn more about when I am studying area?
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