Equal Groups
Mrs. Jones puts 3 pencils in each of 7 cups.
How many pencils are there altogether?
Answer: 21 pencils
Equation: 7 × 3 = 21
Draw an array showing 3 rows of 7.
Write the multiplication sentence.
Answer:
3 × 7 = 21
Complete:
____ × 6 = 42
Answer: 7
Complete:
7 × 6 = (5 × 6) + (_____ × 6)
Answer: 2
A class earns 4 points for every question they answer correctly.
They answer 8 questions correctly.
How many points do they earn?
Answer: 32 points
A classroom has 8 equal groups of 5 chairs.
Write a multiplication sentence, including the product, to represent the chairs.
Answer:
8 × 5 = 40
An array has 6 rows with 5 objects in each row.
How many objects are in the array?
Answer: 30
Equation:
6 × 5 = 30
Complete the related division sentence:
42 ÷ 6 = _____
What does the quotient represent if there are 42 cookies divided equally into 6 bags?
Answer:
42 ÷ 6 = 7
The quotient 7 represents 7 cookies in each bag.
Complete:
9 × 3 = (_____ × 3) + (4 × 3)
Answer: 5
A game gives 6 points for each correct answer.
The class earns 42 points.
How many questions did they answer correctly?
Answer: 7 questions
Equation:
42 ÷ 6 = 7
A coach puts 4 balls in each of 9 baskets.
Draw a model to represent the problem. Then find the total number of balls.
Answer: 36 balls
Equation:
9 × 4 = 36
Draw an array that shows 4 rows of 8.
Write the multiplication sentence and circle the factor that represents the number of rows.
Answer:
4 × 8 = 32
Circle 4.
A baker has 36 muffins. She places them equally into 4 boxes.
How many muffins go in each box?
Write a division equation.
Answer:
36 ÷ 4 = 9
There are 9 muffins in each box.
Use break apart to solve:
8 × 5
Complete:
8 × 5 = (5 × 5) + (_____ × 5)
Then solve.
Answer:
8 × 5 = (5 × 5) + (3 × 5)
25 + 15 = 40
A class earns 4 points for every correct answer.
They earn 36 points.
Show a picture or model and write a division sentence to find how many questions they answered correctly.
Answer:
36 ÷ 4 = 9
They answered 9 questions correctly.
There are 35 students sitting in 5 equal groups.
Complete the related multiplication and division sentences.
_____ × _____ = 35
35 ÷ _____ = _____
Answer:
7 × 5 = 35
35 ÷ 5 = 7
Draw or imagine these two arrays:
7 rows of 3
3 rows of 7
Write a multiplication sentence for each.
Then explain how the two arrays are related.
Answer:
7 × 3 = 21
3 × 7 = 21
They have the same number of objects. The factors switch places, but the product stays the same.
There are 54 stickers divided equally among 6 students.
A student writes:
6 × 9 = 54
Is this a correct way to solve the problem? Explain.
Answer:
Yes. There are 6 students and 9 stickers for each student.
6 × 9 = 54.
A garden has 7 rows of 6 flowers.
There are:
Complete the equation:
7 × 6 = (_____ × 6) + (_____ × 6)
Then find the total number of flowers.
Answer:
7 × 6 = (5 × 6) + (2 × 6)
30 + 12 = 42 flowers
A class earns 6 points for every correct answer.
On Wednesday, they answer 8 questions correctly.
On Thursday, they answer 5 questions correctly.
How many points do they earn altogether?
Answer:
Wednesday: 8 × 6 = 48
Thursday: 5 × 6 = 30
48 + 30 = 78 points
A teacher has 48 crayons. She puts them into 6 equal groups.
Draw a model to show the problem.
Then write a multiplication sentence and a division sentence that represent the model.
Answer:
6 × 8 = 48
48 ÷ 6 = 8
A student says:
"If I turn an array around, the total number of objects changes."
Is the student correct?
Use these arrays to explain:
5 rows of 6
6 rows of 5
Answer:
No.
5 × 6 = 30
6 × 5 = 30
Turning the array changes the number of rows and objects in each row, but the total stays 30.
A teacher has 45 pencils. She puts the pencils into 9 equal groups.
Show a model or explain how you could use multiplication to solve the division problem.
Then write the division sentence.
A teacher has 45 pencils. She puts the pencils into 9 equal groups.
Show a model or explain how you could use multiplication to solve the division problem.
Then write the division sentence.
A teacher has 8 packs with 7 stickers in each pack.
Use the break-apart strategy to solve.
You could write:
8 × 7 = (_____ × 7) + (_____ × 7)
Then solve.
Answer:
8 × 7 = (5 × 7) + (3 × 7)
35 + 21 = 56
A class earns 4 points each time they answer a question correctly.
On Monday, they earn 32 points.
On Tuesday, they answer 9 questions correctly.
How many total points did they earn on Monday and Tuesday?
Show your thinking.
Answer:
Monday = 32 points
Tuesday:
9 × 4 = 36 points
Total:
32 + 36 = 68 points
Answer: 68 points