Multiplicative Comparisons
Which statement matches the equation?
5 x 2 = 10
a. 5 times as many as 2 is 10
b. 10 is 2 times as many as 5
c. 2 times as many as 5 is 10
A
A pack of five pencils costs 5 times as much as a single pencil. A single pencil costs 40 cents. How much does the pack of pencils cost? Write an equation that could be used to solve this problem and then solve.
5 x 40 = 200
A pack of pencils cost $2.00
Two students were estimating the answer to the following expression:
1,525 + 1,859 ÷ 10
Student A: “I think the answer is 1,725”.
Student B: “I think the answer is 350”.
Whose answer is reasonable?
2,000 + 2,000 = 4,100
4,000 divided by 10 = 400
Student B is reasonable.
List the next five multiples of 8.
8, ______, ______, ______, ______, ______
16, 24, 32, 40, 48
If the rule is -3, which of the following patterns follows the rule?
a. 53, 50, 47, 44, 42, 39
b. 60, 57, 54, 51, 48, 45
B
Write an equation to represent the given multiplicative comparison.
64 is 8 times as many as 8
64 = 8 x 8
Gemma sold boxes of cookies to her family and to her neighbors for a school fundraiser. She sold 5 times as many boxes to her family as she did to her neighbors. She sold 6 boxes of cookies to her neighbors. How many boxes of cookies did she sell to her family?
She sold 30 boxes to her family.
Calvin and Riley are on the same basketball team. During their first game, Calvin scores 18 points, and Riley scores 7 fewer points than Calvin. How many points did they score in all?
18 - 7 = 11
18 + 11 = 29
They scored 29 points in all.
List all the factors of 32?
1 x 32
2 x 16
4 x 8
If a shape pattern follows the rule: heart, square, circle, circle, triangle, heart, what is the 23rd shape in the pattern?
Triangle
Write an equation to represent the given multiplication comparison.
36 is 9 times as many as 4
36 = 9 x 4
There are 20 boys at Jacob’s party. There are 4 times as many boys at his party as girls. How many girls are at Jacob’s party?
____ x 4 = 20
There are 5 girls at Jacob's party.
Grandville Elementary has 523 students in kindergarten through grade 5. There are 68 students in kindergarten, and each of the other 5 grades has the same number of students in each grade. How many students are in each of the other 5 grades?
523 - 68 = 455
455 divided by 5 = 91
The other grades have 91 students each.
Is 31 prime or composite and why?
Prime because it only has 2 factors.
Start with the number 2 and create a list of numbers based on the rule: Double and then add 1 to find the next number
2, ______, ______, ______, ______
2, 5, 11, 23, 47
Write the multiplicative comparison the equation represents.
15 = 5 x 3
15 is 5 times as many as 3
There are 12 children at the playground and 3 adults. How many times as many children were at the playground as adults?
3 x ____ = 12
There are 4 times as many children.
Jade helps decorate for the school festival. She inflates 6 bags of red balloons. Each bag of balloons has 12 balloons. A local party supply shop donates 96 blue balloons. Right before the festival begins, 4 balloons pop. How many balloons, in total, are now at the festival?
6 x 12 = 72 red balloons
72 + 96 = 168 balloons
168 - 4 = 164
There are 164 balloons now at the festival.
List the next 4 multiples of 21.
21, _______, _______, _______, _______
42, 63, 84, 105
Extend the pattern.
0, 1 ½ , 3, 4 ½ , 6, ________, ________, ________
7 1/2, 9, 10 1/2
Write the multiplicative comparison the equation represents.
7 x 8 = 56
7 times as many as 8 is 56
There are 30 monkeys in a zoo. There are 6 times as many monkeys as lions. How many lions are there? Write an equation to match the problem and then solve it.
____ x 6 = 30
There are 5 lions.
Laura earned $40 on Saturday, but she only earned half that amount on Sunday. She earned $50 the previous weekend. How much more money does Laura need to earn in order to buy a $140 trampoline for the backyard?
40 + 20 + 50 = 110
140 - 110 = 30
Laura needs $30 more to buy a trampoline.
List all the factors of 63.
1 x 63
3 x 21
7 x 9
If the rule is +4 and we start at 3, what is one feature or characteristic you notice about the numbers?
3, 7, 11, 15, 19, 23, 27, ….
They are all odd numbers