It's All Related
What number completes the fact family?
4 x _ = 20. 20 / 4 = _
_ x 4 = 20. 20 / _ = 4
5
Solve.
24 / 4 =
6
Solve.
7 / 7 =
1
Solve.
14 = _ x 2
7
Julia’s class was making bridges out of wood to see which bridge could hold the most weight. Julia was in a group of 4. Each person in Julia’s group made 2 bridges.What fact family represents the total bridges made by the group?
4 x 2 = 8
2 x 4 = 8
8 / 4 = 2
8 / 2 = 4
Write the fact family for 6, 7, and 42.
6 x 7 = 42
7 x 6 = 42
42 / 6 = 7
42 / 7 = 6
Solve.
49 / 7 =
7
Solve.
25 / 1 =
25
Solve.
_ / 5 = 6
30
There are 42 roses in the garden. Diane picks 7 roses for each bouquet of flowers. How many bouquets can she make? How many more bouquets can Diane make if she uses 6 roses in each bouquet?
She can make 6 bouquets.
If she has 6 roses in each bouquet she can make 7 total, so she can make ONE more.
Describe what a fact family is. Use a specific set of numbers to help.
A fact family is a group of related facts using the same numbers.
36 / 6 =
6
Also, a bar diagram with 36 as the total and 6 boxes with 6 in each box.
There are 9 ducklings. They sleep in 1 large nest. Write and solve an equation that shows how many ducklings sleep in the nest.
Suzanne buys 6 paint sets. Each set contains the same number of brushes. She buys 18 brushes. How many brushes are in each paint set? Write an equation and solve.
6 x ? = 18
? = 3
Andy earns money washing cars on Monday and Tuesday. He earns $8 for each car that he washes.
Monday:
Andy earned $40. What equation can you use to solve for how many cars he washed?
Tuesday:
Andy earned $56. Did he wash more cars on Monday or Tuesday? Explain without actually solving.
40 / 8 = 5
He washed more cars on Tuesday. We don't have to solve the problem because we know that 40 > 56.
Is 4 x 6 = 24 part of the fact family for 3, 8, and 24? Explain.
No, the fact family for 3, 8, and 24 only uses the numbers 3, 8, and 24.
Manny has 28 chapters in a book to read. He reads 7 chapters each week. Choose all of the facts that can help you find how long it will take Manny to read the book.
A. 27 / 8 = 5 C. 28 / 7 = 4 E. 7 x 4 = 28
B. 4 x 7 = 28 D. 2 x 2 = 4
B. 4 x 7 = 28
C. 28 / 7 = 4
E. 7 x 4 = 28
Which of these has the greatest quotient? Support your answer by solving each equation.
6 / 6 =
5 / 1 =
0 / 3 =
8 / 8 =
5 / 1 = 5
Ella solves this equation: 32 / ? = 8
She says the value of ? is 4. Does Ella’s answer make sense? Explain.
Yes! When you multiply 4 x 8 it equals 32, so 32 / 4 = 8.
Sandra has 18 bags of peanuts to hand out to 9 friends. How many bags can she give each friend? Draw a bar diagram to help you solve.
18 / 9 = 2
Also, a bar diagram with 18 total and 9 boxes with 2 in each box.
Can you write a fact family using the numbers 3, 5, and 7? Explain.
No, a fact family is a group of related facts. There is not a group of related facts using those numbers.
You have 18 erasers and use 3 erasers each month. How many months will your erasers last? Solve AND identify the quotient, dividend and divisor.
18 / 3 = 6
18 is the dividend
3 is the divisor
6 is the quotient
Explain why you cannot solve the equation below.
4 / 0 =
You cannot divide any number by 0 because when you use the related multiplication fact no number x 0 can equal 4.
Bruce arranges 35 pencils on his desk into equal groups of 7. How many groups of pencils are on Bruce’s desk? Write a multiplication equation AND a division equation using ? for the unknown value, then solve.
35 / 7 = ?
7 x ? = 35
? = 5
Hector spent from Sunday to the following Saturday at the beach. Each day he found an equal number of shells. If Hector found 63 shells, how many shells did he find on Tuesday? Explain your answer.
Sunday - Saturday is 7 days.
63 / 7 = 9
He found the same number of shells on each day, so he found 9 shells on Tuesday.