We included HMH Into Math Grade 3 Answer Key PDF Module 1 Lesson 5 Represent Multiplication with Number Lines to make students experts in learning maths.
HMH Into Math Grade 3 Module 1 Lesson 5 Answer Key Represent Multiplication with Number Lines
I Can use number lines to represent problems about equal groups and to write multiplication equations.
Spark Your Learning
Four friends are building a scooter from wood. Each friend has a ruler that is 6 inches long. The friends use the rulers to measure the length of a wood board.
Show two different ways to find the length of the wood board.
The wood board is __ inches long.
Answer:
Explanation:
Four friends are building a scooter from wood
Each friend has a ruler that is 6 inches long
The friends use the rulers to measure the length of a wood board
One way to find is placing the 6 inches rulers side by side
The length of wood board is 23 inches long
Another way:
Use number line to find the length
Place the number line below the wood board
The board is about 23 inches long.
Turn and Talk Share the different ways you found the length of the wood board with a partner. How are your ways alike? How are they different?
Build Understanding
1. Kia uses a yardstick to measure the length of a wood board for a ramp. Each yardstick is 3 feet long. What is the length of the wood board in feet?
A. What information in the problem tells the number of groups? What information tells the number in each group?
Draw jumps on the number line to represent this problem.
B. What number do you count by to find the length of the board? Explain.
C. What numbers do you say as you count?
D. What is the length of the wood board in feet?
Answer:
Explanation:
Kia uses a yardstick to measure the length of a wood board for a ramp
Each yardstick is 3 feet long
I drew 2 jumps of 3 feet on the number line
I reach at the number 6
So, the length of the wood board in feet is 6 feet.
Turn and Talk What if a wood board being measured is equal to the length of 4 yardsticks? What numbers would you say to count? Explain.
Answer:
If a wood board being measured is equal to the length of 4 yardsticks
I would count 2 more jumps of 3 feet
I would reach at 12
So, the wood board will be 12 feet long.
2. Shawn uses 3 pencils to measure the length of a bar he uses to make a scooter handle. Each pencil is 6 inches long. How many inches long is the bar?
Show equal groups on the number line.
A. What multiplication equation can you write to model this problem? ________
B. How many inches long is the bar? ____________
Answer:
Explanation:
Shawn uses 3 pencils to measure the length of a bar he uses to make a scooter handle
Each pencil is 6 inches long
I drew a jump of 6 inches as the pencil is 6 inches long
I made 3 such jumps as the bar is 3 pencils long
I reach at 18
or 3 x 6 = 18
So, the bar is 18 inches long.
Check Understanding Math Board
Question 1.
Mai uses 5 crayons to measure the length of her skateboard. Each crayon is 10 centimeters long. What is the length of the skateboard in centimeters?
How do you know? _____________
Answer:
50 centimeters
Explanation:
Mai uses 5 crayons to measure the length of her skateboard
Each crayon is 10 centimeters long
Multiply to find
5 x 10 = 50
So, the length of her skateboard is 50 centimeters long.
Question 2.
Isla practices skateboard tricks for 3 hours each week. How many hours does she practice in 5 weeks?
- Show equal groups. Write a multiplication equation. Solve.
Answer:
Explanation:
Isla practices skateboard tricks for 3 hours each week
She practices for 5 weeks
To find the number of hours she practiced in 5 weeks
I made a jump of 3 units for 5 times
I reach at the number 15 or
Multiply
3 x 5 = 15
So, Isla practices for 15 hours in 5 weeks.
On Your Own
Question 3.
Model with Mathematics Tamara uses 8 sticks to measure the length of a car. Each stick is 2 feet long. What is the length of the car in feet?
- Write a multiplication equation to model the problem and then solve.
______________________________
Answer:
16 feet long
Explanation:
Tamara uses 8 sticks to measure the length of a car
Each stick is 2 feet long
The multiplication equation that solves the problem is
8 x 2 = 16
So, the length of the car is 16 feet.
Question 4.
Use Tools Rafi uses 6 crayons to measure the length of a belt. Each crayon is 4 inches long. How many inches long is the belt?
- Show equal groups. Write a multiplication equation. Solve.
Answer:
Explanation:
Rafi uses 6 crayons to measure the length of a belt
Each crayon is 4 inches long
I made 6 jumps of 4 inches
The multiplication equation that solve the problem is
4 x 6 = 24
So, the belt is 24 inches long.
Question 5.
Reason Explain how number lines showing 7 × 8 = 
and 8 × 7 = would be different and alike.
______________________________
______________________________
Answer:
In the number line that shows 7 x 8 shows 7 jumps of 8 inches
In the number line that show 8 x 7 shows 8 jumps of 7 inches
Both the number lines show same answer in different ways.
I’m in a Learning Mindset!
How did using a number line help me understand how to count to find how many in all?
_______________________________