Multiples
Use the rule "multiply by 3." Write the next three numbers in the pattern.
3, __, __, __
3, 6, 9, 12
Prime or composite?
8
Composite
True or false?
54 is 6 times as many as 9.
True
The bar model:
12 + 12 + 12 + 12
= 48
Does the following equation represent the comparison? (Yes or No)
5 x 12 = 48
No
On Sunday, Pablo bikes 7 miles in the morning. He bikes 5 times as many miles in the afternoon. How many miles does Pablo bike in all on Sunday?
35 miles
Use the pattern rule add 6.
0 1 2 3 4
0 _ _ _ _
0, 6, 12, 18, 24
Prime or composite?
9
Composite
True or false?
8 is 32 times as many as 4.
False
The bar model:
15 + 15 + 15 + 15 + 15
= 75
Does the following equation represent the comparison? (Yes or No)
5 + 15 = 75
No
Students plant 5 bean seeds in each of 3 rows. They plant 5 corn seeds in each of 6 rows. What is the total number of bean seeds and corn seeds that the students plant?
Write an equation with unknown and solve.
x = (3 x 5) + (6 x 5)
x = 45
The rule for the following pattern is add 8.
8, 16, 24, 32, 40
What are the next three numbers?
48, 56, 64
Prime or composite?
17
Prime
Notebooks come in packages of 3, 6, and 10. Kari wants to buy exactly 90 notebooks. What are two ways Kari can buy exactly 90 notebooks?
Tell how many of each package size she can buy.
Options:
3 x 30
6 x 15
10 x 9
The bar model below shows that Annie takes 4 times as many photos as Ellen.
?
? + ? + ? + ?
=20
Write an equation that can be used to find p, the number of photos Ellen takes.
20 ÷ 4 = p
Kelly washes 3 cars for $6 each. She waxes 1 car for $5 and cleans the inside of 1 car for $5. How much does Kelly earn altogether?
Write an equation with unknown and solve.
x = (3 x 6) + 5 + 5
x = 28
Challenge: The rule for the pattern is add 6.
6, 12, 18, 24, 30
If the pattern continues, what would be the 80th number in the pattern?
480
Ted puts 36 markers into containers. He puts the same number of markers into one or more containers with no markers left over.
List all of the possible numbers of markers that Ted can put into each container.
1, 2, 3, 4, 6, 9, 12, 18, 36
Molly buys 5 packages of charms to make bracelets. Each package has 6 charms. Molly uses 4 charms to make each bracelet.
Write and solve an equation to find the greatest number of bracelets Molly can make with the charms.
5 x 6 = 30
30 ÷ 4 = 7 bracelets (remainder 2)
You don't use the remaining charms because it's not enough to make another whole bracelet.
Challenge: Tyler earns $4 every time he walks his neighbor's dog. He has already earned $36. He wants to earn enough money to buy a new bike that costs $96.
Tyler estimates that he needs to walk the dog 10 more times before he can afford to buy the bike.
Is his estimation reasonable? Show your work.
96 - 36 = 60
60 ÷ 4 = 15
No, Tyler will need to walk the dog 15 more times to earn enough money to buy the bike.
10 does not round down to 15.
Miguel has a $20 gift card for a restaurant. He buys a sandwich for $5, a salad for $6, and a drink for $2. How much is left on the gift card?
Write an equation with an unknown and solve.
x = 20 - (5 + 6 + 2)
x = $7
Challenge: Marcus needs to set up chairs for a concert. He has 96 chairs to arrange into equal rows.
Find at least six different ways to arrange the chairs.
1) 1 x 96
2) 2 x 48
3) 3 x 32
4) 4 x 24
5) 6 x 16
6) 8 x 12
Charlie has 40 books to arrange on shelves. She wants to put the same number of books on each shelf.
List four different ways Charlie can arrange the books. Show your work.
1 x 40
2 x 20
4 x 10
5 x 8
Kate buys 5 books and 8 CDs at the library book sale. The books cost $4 each, and the CDs cost $3 each.
Write two equations that can be used to find how much money, s, Kate spends at the library book sale.
s = ...
s = (8 x 3) + (5 x 4)
s= (4 x 5) + (3 x 8)
Challenge: Vans will carry 4th and 5th graders on a field trip. There are 34 4th graders and 28 5th graders. Each van can carry 9 students.
The bus manager estimates that 7 vans are needed to carry all the students.
Is this estimation reasonable? Show your work.
34 + 28 = 62
62 ÷ 9 = 6 R 6
Yes, 7 is reasonable because there are 6 leftover students who need seats.
Challenge:
Evan spends $80 at the florist. He buys red roses for $35. He also buys white roses for $21 and 4 vases that all cost the same. What is the price of each vase?
$6