We included HMH Into Math Grade 3 Answer Key PDF Module 1 Lesson 6 Represent Multiplication with Bar Models to make students experts in learning maths.
HMH Into Math Grade 3 Module 1 Lesson 6 Answer Key Represent Multiplication with Bar Models
I Can use bar models to represent problems about equal groups and to write multiplication equations.
Spark Your Learning
The cars on the Big Dip Roller Coaster ride at the amusement park are the same size. There are 2 cars. Each car has 6 seats. How many seats are on the roller coaster ride?
Complete the diagram. Then describe how the diagram shows the problem.
How many seats are on the roller coaster ride? _______
Answer:
Explanation:
The cars on the Big Dip Roller Coaster ride at the amusement park are the same size
There are 2 cars
Each car has 6 seats
6 + 6 = 12
So, 12 seats are on the roller coaster ride.
Turn and Talk Discuss with your partner how you could find the number of seats on the roller coaster ride in a different way. How are your ways alike? How are they different?
Build Understanding
1. The cars on the Bumpy Tour ride at the fair are the same size. There are 5 cars. Each car has 3 seats. How many seats are on the ride?
Complete the bar model to show equal groups.
A. Each box in the bar model stands for a group. How many boxes should there be? ________
B. How do you know what number to write inside each box? ______________
C. What part of the bar model represents the total number of seats? ___________
D. How many seats are on the ride? ___________________
Answer:
Turn and Talk How would the bar model change if there were 3 cars with 5 seats in each car?
Answer:
The bar model would have 3 boxes with number 5 written in each box if there were 3 cars with 5 seats in each car.
2. Each car in the Zig Zag ride has 4 passengers. There are 3 cars. How many passengers are there?
Show equal groups.
A. Draw boxes to complete the bar model. Write the number of passengers in each car inside each box.
Answer:
Each car in the Zig Zag ride has 4 passengers
There are 3 cars
I drew 2 more boxes to complete the bar model
4 + 4 + 4 = 12
B. What multiplication equation can you write to model the problem? ____
Answer:
The multiplication equation is 4 x 3 = 12
C. How many passengers are there? _______
Answer:
So, there are 12 passengers in the ride.
3. A ride at the fair has a train with same-sized cars. There are 4 cars. Each car has 5 seats. How many seats does the train have?
Draw a bar model for the problem.
A. What does each box represent? How many boxes should there be? __________
B. What number do you write inside each box? How do you know? ______________
C. How many seats does the train have? __________
Answer:
Explanation:
I drew a bar model to show the problem
Each box represents 1 car
I wrote number 5 inside the box as 5 passengers can sit in each car
I drew 4 boxes
5 x 4 = 20
So, The train have 20 seats.
Turn and Talk Why are all the boxes the same size in this bar model for multiplication?
Build Understanding
4. Dora drew this bar model.
A. Write a word problem that can be solved using Dora’s bar model. Solve the problem.
B. Describe what the bar model shows.
Answer:
Dora have 3 toys and each of her toy costs the same. The cost of each toy is $6.Find the cost of all the toys.
Explanation:
Dora have 3 toys and each of her toy costs the same
The cost of each toy is $6
Add on to find the total cost
$6 + $6 + $6 = $18 or
Multiply
3 x $6 = 18
So, all the 3 toys that Dora have costs $18.
Turn and Talk When you see same-sized boxes in a bar model, what should the groups in your word problem describe?
Answer:
If i see same-sized boxes in a bar model, the groups should be described as equal groups in the word problem.
Check Understanding Math Board
Question 1.
The 7 cars on the Giant Loop ride at the fair are the same size. Each car holds 4 people. Write a multiplication equation to model the problem. How many people can the ride hold?
Answer:
The Giant Loop ride can hold 28 people.
Explanation:
The 7 cars on the Giant Loop ride at the fair are the same size
Each car holds 4 people
The multiplication equation that solves the problem is
7 x 4 = 28
So, The Giant Loop ride can hold 28 people.
Question 2.
The 5 cars on the Cheetah Race ride at the fair are the same size. Each car has 2 riders. How many riders are on the Cheetah Race ride?
- Draw a bar model. Write a multiplication equation. Solve.
Answer:
Explanation:
The 5 cars on the Cheetah Race ride at the fair are the same size
Each car has 2 riders
I drew 5 boxes with number 2 written inside it
The multiplication equation that solves the problem is
5 x 2 = 10
So, there are 10 riders on the Cheetah Race ride.
On Your Own
Question 3.
Model with Mathematics Javon has 4 boxes of granola bars like this one. How many granola bars are in the 4 boxes?
- Draw a bar model to show the problem.
- Write a multiplication equation and solve the problem.
Answer:
Explanation:
Javon has 4 boxes of granola bars
Each box has 6 bars inside it
I drew 4 boxes with number 6 inside it
The multiplication equation is 4 x 6 = 24
So, There are 24 granola bars in 6 boxes.
Question 4.
Construct Arguments Satya uses a bar model to show 9 packages with 3 shirts in each package. Owen counts on a number line to show the same information. Explain how using a number line to count is like using a bar model.
Answer:
In bar model we draw boxes
I drew 9 boxes
I wrote number 3 in each box
9 x 3 = 27
On a number line in similar way i drew 9 jumps of 3 each
So, 9 x 3 = 27
So, both show almost same way of counting =.
Question 5.
Open Ended Jackson drew this bar model. Write a word problem that can be solved using Jackson’s bar model. Solve.
Answer:
Using the above bar model i wrote a word problem
Jackson has 4 boxes of chocolates. Each box has 9 chocolates. Find the total number of chocolates with Jackson.
Explanation:
Jackson has 4 boxes of chocolates
Each box has 9 chocolates
Multiply to find the total
4 x 9 = 36
So, There are 36 chocolates with Jackson in all.
On Your Own
Question 6.
Use Tools Each bicycle has 2 wheels. There are 6 bicycles in the bicycle rack. How many wheels are on the 6 bicycles?
- Draw a bar model to show the problem.
- How do you know how many boxes to draw? _____
- How do you know what number to write inside each box? ____
- How many wheels are on the 6 bicycles? ________
Answer:
Explanation:
Each bicycle has 2 wheels
There are 6 bicycles in the bicycle rack
There are 6 bicycles so, i drew 6 boxes
There are 2 wheels for each bicycle
So, i wrote number 2 in each box
The multiplication equation that solves the problem is
6 x 2 = 12
So, there are 12 wheels on 6 bicycles.
Question 7.
Geography Bryce Canyon National Park in Utah has a 3-mile long trail called the Navajo Trail. Juni hikes the trail each day for 3 days. How many miles does Juni hike?
__________________________
Answer:
9 miles
Explanation:
Bryce Canyon National Park in Utah has a 3-mile long trail called the Navajo Trail
Juni hikes the trail each day for 3 days
Multiply to find the total number of miles
3 x = 9
So, Juni hikes the trail 9 miles in 3 days.
I’m in a Learning Mindset!
What strategies for multiplication am I comfortable using on my own?
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