All the solutions provided in McGraw Hill Math Grade 3 Answer Key PDF Chapter 4 Lesson 1 Model Multiplication will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 3 Answer Key Chapter 4 Lesson 1 Model Multiplication
Build It
When you have equal groups, you have the same number of objects in each group. Use repeated addition to find the total number of objects.
Find the total in 4 equal groups of 5.
1. Use connecting cubes to show 4 equal groups of 5 cubes. Draw the groups.
There are ____ groups with ____ in each group.
2. Write the number of cubes in each group. Use repeated addition to complete the number sentence.
3. Record the number of groups, the number in each group, and the total from above.
Explore other ways to group the 20 cubes equally.
You can also use multiplication to find the total number of objects in equal groups. A number sentence with the symbol (×) is called a multiplication sentence. It means to multiply.
Try It
Shawn helped his mom bake cookies. He served 4 cookies on each plate. There are 2 plates. How many cookies did he serve?
Find the total of 2 plates of 4 cookies.
1. Use counters to model the equal groups. Draw the groups. ,
2. Use repeated addition to complete the number sentence.
___ + ____ = ____
3. Write a multiplication sentence to show 2 plates of 4 cookies, or 2 groups of 4.
So, Shawn served ____ cookies.
Answer:
8 cookies
Explanation:
Shawn helped his mom bake cookies
He served 4 cookies on each plate
There are 2 plates
4 + 4 = 8
The multiplication sentence is
2 x 4 = 8
So, Shawn served 8 cookies.
Talk About It
Question 1.
Mathematical PRACTICE 3 Draw a Conclusion How can addition help you find a total number of objects in equal groups?
Answer:
Question 2.
How did you find the total number of cubes in Step 2 of the first activity?
Answer:
Using repeated
Explanation:
In step 2 i used repeated addition method to find the total number of cubes
4 x 5
= 5 + 5 + 5 + 5 = 20
So, total number of cubes is 20.
Question 3.
Shawn counted a batch of cookies by finding 4 + 4 + 4. How could multiplication have helped him to find the total? ____________________________
What was the total? ________
Answer:
The total is 12
Explanation:
Shawn counted a batch of cookies by finding 4 + 4 + 4
There are 3 groups of 4 cookies
The multiplication sentence is 3 x 4 = 12
So, the total number of cookies is 12.
Practice It
Draw a model to find the total number.
Question 4.
6 groups of 2 equals _____
Answer:
Explanation:
6 groups of 2 equals
Using repeated addition
2 + 2 + 2 + 2 + 2 + 2 = 12
Using multiplication
The multiplication sentence is
6 x 2 = 12
So, 6 groups of 2 equals is 12.
Question 5.
3 groups of 5 equals ________
Answer:
Explanation:
3 groups of 5 equals
Using repeated addition
5 + 5 + 5 = 15
Using multiplication
The multiplication sentence is
3 x 5 = 15
So, 3 groups of 5 equals is 15.
Question 6.
2 × 4 = _____
Answer:
Explanation:
2 groups of 4 equals
Using repeated addition
4 + 4 = 8
Using multiplication
The multiplication sentence is
2 x 4 = 8
So, 2 x 4 = 8.
Question 7.
1 × 7 = ____
Answer:
Explanation:
1 group of 7 equals
Using repeated addition
7 = 7
Using multiplication
The multiplication sentence is
1 x 7 = 7
So, 1 x 7 = 7.
Describe each set of equal groups.
Question 8.
____ + ____ = ____
____ groups of ____ = ____
Answer:
5 + 5 = 10
2 groups of 5 = 10
Explanation:
2 groups of 5 equals
Using repeated addition
5 + 5 = 10
Using multiplication
The multiplication sentence is
2 x 5 = 10
So, 5 + 5 = 10
And 2 groups of 5 = 10.
Question 9.
____ + ____ = ____
____ groups of ____ = ____
Answer:
3 + 3 + 3 = 9
3 groups of 3 = 9
Explanation:
3 groups of 3 equals
Using repeated addition
3 + 3 + 3 = 9
Using multiplication
The multiplication sentence is
3 x 3 = 9
So, 3 + 3 + 3 = 9
And 3 groups of 3 = 9.
Question 10.
8 × 2 = ____
____ groups of ____ = ____
Answer:
8 x 2 = 16
8 groups of 2 = 16
Explanation:
8 groups of 2 equals
Using repeated addition
8 + 8 = 16
Using multiplication
The multiplication sentence is
8 x 2 = 16
So, 8 x 2 = 16
And 8 groups of 2 = 16.
Question 11.
5 × 5 = ____
____ groups of ____ = ____
Answer:
5 x 5 = 25
5 groups of 5 = 25
Explanation:
5 groups of 5 equals
Using repeated addition
5 + 5 + 5 + 5 + 5 = 25
Using multiplication
The multiplication sentence is
5 x 5 = 25
So, 5 x 5 = 25
And 5 groups of 5 = 25.
Equally group the counters. Draw the equal groups.
Question 12.
set of 6 counters
Answer:
Explanation:
2 groups of 3 equals
Using repeated addition
3 + 3 = 6
Using multiplication
The multiplication sentence is
2 x 3 = 6
So, i can draw 6 counters in 2 groups of 3 equals.
Question 13.
set of 18 counters
Answer:
Explanation:
6 groups of 3 equals
Using repeated addition
3 + 3 + 3 + 3 + 3 + 3 = 18
Using multiplication
The multiplication sentence is
6 x 3 = 18
So, i can draw 18 counters in 6 groups of 3 equals.
Apply It
Mathematical PRACTICE 4 Model Math Draw to complete each model. Then complete each number sentence.
Question 14.
Tennis balls come in cans of 3. How many tennis balls are in 4 cans?
Answer:
Explanation:
Tennis balls come in cans of 3
There are 4 cans
4 groups of 3
Using repeated addition
3 + 3 + 3 + 3 = 12
Using multiplication
The multiplication sentence is
4 x 3 = 12
So, there are 12 tennis balls in 4 cans.
Question 15.
Sam has 2 celery sticks. Each stick is topped with peanut butter and 4 raisins. How many raisins does Sam have in all?
____ + ___ = ____ raisins
Answer:
Explanation:
Sam has 2 celery sticks
Each stick is topped with peanut butter and 4 raisins
2 groups of 4
Using repeated addition
4 + 4 = 8
Using multiplication
The multiplication sentence is
2 x 4 = 8
So, Sam have 8 raisins in all.
Question 16.
Mathematical PRACTICE 2 Use Number Sense Mary bought a box of 6 crayons. Then she bought 3 more boxes. How many crayons did she buy in all? How much money did she spend in all?
Answer:
Explanation:
Mary bought a box of 6 crayons
Then she bought 3 more boxes
4 groups of 6 crayons
Using repeated addition
6 + 6 + 6 + 6 = 24
Using multiplication
The multiplication sentence is
4 x 6 = 24
So, Mary bought 24 crayons in all
Each box costs $2
4 boxes x $2 = $8
So, Mary spent $8 in all.
Write About It
Question 17.
What does it mean to multiply?
Answer:
The process of repeating, or adding to itself, any given number or quantity a certain number of times; commonly, the process of ascertaining by a briefer computation the result of such repeated additions; also, the rule by which the operation is performed is called a multiplication.
McGraw Hill My Math Grade 3 Chapter 4 Lesson 1 My Homework Answer Key
Practice
Draw a model to find the total number.
Question 1.
2 groups of 8 equals ____
Answer:
Explanation:
2 groups of 8 equals
Using repeated addition
8 + 8 = 16
Using multiplication
The multiplication sentence is
2 x 8 = 16
So, 2 groups of 8 equals is 16.
Question 2.
5 groups of 7 equals ____
Answer:
Explanation:
5 groups of 7 equals
Using repeated addition
7 + 7 + 7 + 7 + 7 = 35
Using multiplication
The multiplication sentence is
7 x 5 = 35
So, 5 groups of 7 equals is 35.
Question 3.
6 × 4 = ____
Answer:
Explanation:
6 groups of 4 equals
Using repeated addition
4 + 4 + 4 + 4 + 4 + 4
Using multiplication
The multiplication sentence is
6 x 4 = 24
So, 6 x 4 = 24.
Question 4.
4 × 8 = ____
Answer:
Explanation:
4 groups of 8 equals
Using repeated addition
8 + 8 + 8 + 8 = 32
Using multiplication
The multiplication sentence is
4 x 8 = 32
So, 4 x 8 = 32.
Describe each set of equal groups.
Question 5.
____ + ____ + ____ + ____ = ____
___ groups of ____ = ____
Answer:
2 + 2 + 2 + 2 = 8
4 groups of 2 = 8
Explanation:
4 groups of 2
Use repeated addition
2 + 2 + 2 + 2 = 8
Use multiplication
4 x 2 = 8
So, 2 + 2 + 2 + 2 = 8
And 4 groups of 2 = 8.
Question 6.
____ + ____ + ____ + ____ = ____
___ groups of ____ = ____
Answer:
5 + 5 + 5 = 15
3 groups of 5 = 15
Explanation:
3 groups of 5
Use repeated addition
5 + 5 + 5 = 15
Use multiplication
3 x 5 = 15
So, 5 + 5 + 5 = 15
And 3 groups of 5 = 15.
Question 7.
6 × 5 = ____
___ groups of ____ = ____
Answer:
6 x 5 = 30
6 groups of 5 = 30
Explanation:
6 groups of 5
Use repeated addition
5 + 5 + 5 + 5 + 5 + 5 = 30
Use multiplication
6 x 5 = 30
So, 6 x 5 = 30
And 6 groups of 5 = 30.
Question 8.
3 × 4 = ____
___ groups of ____ = ____
Answer:
3 x 4 = 12
3 groups of 4 = 12
Explanation:
3 groups of 4
Use repeated addition
4 + 4 + 4 = 12
Use multiplication
3 x 4 = 12
So, 3 x 4 = 12
And 3 groups of 4 = 12.
Problem Solving
Mathematical Practice Model Math Complete each number sentence
Question 9.
Paulina played 3 soccer games on Saturday. She drank 1 juice box during each soccer game. How many juice boxes did she drink?
___ + ____ + ____ = ____ juice boxes
Answer:
1 + 1 + 1 = 3 juice boxes
Explanation:
Paulina played 3 soccer games on Saturday
She drank 1 juice box during each soccer game
3 groups of 4
Use repeated addition
1 + 1 + 1 = 3
Use multiplication
3 x 1 = 3
So, Paulina drank 3 juice boxes.
Question 10.
Daniel, Jamie, Molly, and Corey each have 4 books from the library. How many books do they have in all?
___ + ____ + ____ = ____ library books
Answer:
4 + 4 + 4 + 4 = 16 library books
Explanation:
Daniel, Jamie, Molly, and Corey each have 4 books from the library
4 groups of 4
Use repeated addition
4 + 4 + 4 + 4 = 16
Use multiplication
4 x 4 = 16
So, they have 16 library in all.
Vocabulary Check
Question 11.
Choose the correct word(s) to complete the sentence below.
equal groups multiplication
You can use _____ to find the total number of objects in _____.
Answer:
You can use multiplication to find the total number of objects in equal groups.