Fact families
Write a fact family for 1, 5, and 5.
1 x 5 = 5
5 x 1 = 5
5 ÷ 5 = 1
5 ÷ 1 = 5
Write a multiplication equation and division equation to solve 35 ÷ ? = 5
35 ÷ 7 = 5
7 x 5 = 35
Write a pattern that is even and also a pattern that is odd.
Even: 2, 4, 6, 8
Odd: 1, 3, 5, 7
7 ÷ 1 = ?
0 ÷ 7 = ?
7 and 0
Carlos has 49 colored pencils. He sorts the pencils into 7 groups. How many are in each group?
7
Which number makes both equations true?
27 ÷ 9 = ?
9 x ? = 27
3
Use two different ways (circle method, bar diagram, etc) to solve 32 ÷ 4 = ?. Write the multiplication equation as well.
32 ÷ 4 = 8
8 x 4 = 8
4 x 8 = ?
4 x 8 is even or odd?
What is the answer?
even, 32
Which equations have the same answer?
3 x 1 15 ÷ 15
4 ÷ 4 7 ÷ 1
3 ÷ 3
1 x 1
4 ÷ 4, 3 ÷ 3, 1 x 1, 15 ÷ 15
Cybil sent 56 postcards, She sent the same number of postcards to each of her 8 friends. How many postcards did Cybil send to each friend?
Use a bar diagram to solve.
7
Write the fact family for 4, 7, and 28
4 X 7 = 28
7 x 4 = 28
28 ÷ 4 = 7
28 ÷ 7 = 4
Corey wrote three equations. What number will make all of Corey's equations true?
? x 9 = 54
42 ÷ 7 = ?
48 ÷ ? = 8
6
What is our rule with even numbers? Give an example.
Any even number can be split to two equal groups with nothing left over. For example, 24 can be split into two groups of 12.
Write a division equation in which the answer is zero.
Ex 0 ÷ 8
There were some sheep in the barnyard. Each sheep had 4 legs. There were 24 legs in the barnyard How many sheep were in the barnyard?
6 sheep
Describe what a fact family is?
A fact family is all the possible ways to use the factors at hand to solve multiplication and division equations with those numbers.
Divide 63 by 7 and write a multiplication equation as well.
63 ÷ 7 = 9
9 x 7 = 63
Amber, Greg, and Liam are sharing a bag of grapes. They divide the grapes into 2 equal groups. There is 1 grape left over in the bag. Which number below could be the number of grapes in the bag when they started?
20, 16, 36, 25
25
Mike wants to solve the equation 3 ÷ 0. He says that due to the zero being the divisor, he can solve this equation. Is he right?
No, you cannot divide a number by zero.
Levi is buying used books. He buys 4 paperback books and 3 hardcover books. He spends $56. If the books are all the same price, how much does each book cost?
$8
Create a fact family with the factors that equal 81
9 x 9 = 81
81 ÷ 9 = 9
Lizzie drew this bar diagram to model a division problem. Write a multiplication equation Lizzie could use to help solve the problem.
3 x 8 = 24
Sam wrote five numbers. Which of Sam's numbers can be divided into 6 equal groups with 0 left over? Choose all that apply.
56, 54, 48, 38, 31
54 and 48
Taylor is trying to find 8 ÷ 1. She says the answer is 1 because 8 x 1= 1. Is Taylor correct?
No, Taylor is not correct because there are 8 groups when 8 is divided into groups of 1. The equation 8 x 1 = 1 is incorrect.
Miriam has 3 packages of pencils. Each package has 6 pencils.
She wants an eraser for each pencil. If erasers come in packs of 9, how many packs will she need to buy?
What do you need to find first?
What operation will you use? Solve the problem
First, you must find the total number of pencils she has. Then you will divide it by how many erasers come in each pack in order to find the total number of packs she needs.
3 x 6 = 18
18 ÷ 9 = 2
She needs 2 packs of erasers.