Equivalent Ratios
Double Number Line Diagrams
Ratio Tables
Tape Diagrams
Vocabulary
100
Janet has three apples and four oranges. Which of the following is an equivalent ratio to 3 to 4?
A. 4:3
B. 6:12
C. 6:8
C. 6:8
3 and 4 are both multiplied by 2 to get 6 and 8.
100
Fill in the two missing numbers in the diagram below.
20 and 5
100
How many items can Leah buy for $50?
10 items
100
If there are 8 cats, how many dogs are there?
10
[4x2=8 So, 5 should be multiplied by 2, which is 10.]
100
an association between two or more quantities
ratio
200
Melanie went to the store and bought 2 bags of chips and 5 Little Debbies for she and her siblings to share. Carrie bought 6 bags of chips and 15 Little Debbies for her class party. Are the ratios of chips to Little Debbies that both girls bought equivalent to each other?
Yes.
Because, 2x3=6 and 5x3=15. Both numbers in Melanie's ratio can be multiplied by 3 to equal the numbers in Carrie's ratio.
200
Are 4:1 and 8:2 equivalent ratios?
Yes, because both 4 and 1 can be multiplied by 2 to equal 8 to 2.
200
If there are 10 green scarfs, how many red scarfs are there according to the ratio table below?
30
[10x3=30 or 6x5=30]
200
If 30 people are wearing vests, how many people are wearing sweaters?
36 people are wearing sweaters.
[30 divided by 5 boxes equals 6. There are 6 boxes for sweaters. 6x6=36.]
200
We use the words _______ ______ to describe two situations that have equivalent ratios.
same rate
300
Jeremy made a caramel iced coffee for Karen. The recipe calls for a 3 cup to 2 cup ratio of milk to ice. Karen decided that she wanted to order another iced coffee just like hers for her friend, Janice. Jeremy grabbed 6 cups of milk and 4 cups of ice. Karen complained that he did not have the correct amounts, because that was not an equivalent ratio. Is Karen correct in thinking that?
No, Karen is incorrect.
3:2 and 6:4 are both equivalent. 3 and 2 are both multiplied by 2 to get 6 and 4.
300
Using this recipe, if Joanie uses 15 tablespoons of mix, how many cups of water will she need?
10 cups of water
300
If Greg uses 6 cups of red paint, how many cups of yellow paint will he need in order to make the same shade of orange?
18 cups of yellow paint
300
If there are 32 drama DVDs, how many total DVDs are there?
52
[32 divided by 8 boxes equals 4. There are 13 boxes altogether. 13x4=52.]
300
a unit for measuring speed; tells how many meters an object goes in one second
meters per second
400
Which ratio is NOT equivalent to 5:4?
A. 25:20
B. 15:16
C. 30:24
B. 15:16
15:16 is not equivalent to 5:4, because 5 was multiplied by 3 and 4 was multiplied by 4. In order to create an equivalent ratio, both sides must be multiplied by the same number.
400
How many donuts are in 5 boxes?
60 donuts are in 5 boxes.
[5x12=60]
400
If Jasmine brought $75, how many items can she buy?
She can buy 15 items.
[75 divided by 5 equals 15.]
400
If there are 120 boys, how many children are there altogether?
270
[120 divided by 4 boxes equals 30. There are 9 boxes altogether. 9 x 30 =270.]
400
cost for one item or for one unit of measure
unit cost; unit rate; unit price
500
Annie and Ava were doing their homework together and comparing notes. The table below was question #4 on their homework. Annie said that the missing number beside 14 should be 28. Ava said that the missing number beside 14 should be 10. Who is correct? And, why?
Ava is correct, because 7x2=14. So, in the second column 5 should be multiplied by 2, which would equal 10. It looks like Annie got confused and multiplied 14 by two.
500
If the car continues to travel at this speed, how many miles will they have traveled in 12 hours?
120 miles
30 miles / 3 hours = 10 miles per hour
10 mph x 12 hours = 120 miles
500
How many screws will John need if he is building 4 shelves? And, how many shelves can he build with 42 screws?
John will need 24 screws to build 4 shelves. And, he can build 7 shelves with 42 screws.
[18 divided by 3 equals 6. So, 4x6=24. And, 42 divided by 6 equals 7.]
500
How much money did Jimmy make?
$400
[There are 12 boxes. Altogether the boxes total $1200. $1200 divided by 12 boxes equals $100. This means that each box equals $100. Jimmy's money is represented by 4 boxes. 4 boxes x $100 equals $400.]
500
organizes information into horizontal rows and vertical columns
table