Step Back Division
Ratios
Equivalent Ratios
Double Number Line
Unit Ratios
Tape Diagrams
100
There are 30 pretzels in the bowl. You and 4 friends are sharing the pretzels. How many pretzels do you each get?
Each person gets 6 pretzels
_________________________
30 pretzels divided by 5 people
30 ÷ 5 = 6
100
Ratios can be written three different ways (using three different symbols/words).
One way is by using the word "to". For example, there are three sixth grade math teachers to 200 sixth grade students. This can be written as
3 to 200
What are the other two ways to write this ratio?
3 : 200
3/200 is the same as
3/200
100
What does it mean to be "equivalent?"
Answers may include:
equal
the same value but different numbers
You might have other answers, check with each other on the meaning, if you agree that it does means equivalent you earn the points. Check with google, check with the teacher.
100
True or False? Justify.
A double number line is a visual representation of data.
True.
100
Lilly can paint 56 portraits in 8 weeks. How many portraits can they paint in 3 weeks?
Lilly can paint 21 portraits in 3 weeks.
Table:
Step by Step:
56 portraits/8 weeks
Divide both sides by 8.
7 portraits/1 week
Multiply both sides by 3.
21 portraits/3 weeks
100
Based on the ratio, how many pepperoni pizzas did they buy if they bought 6 cheese pizzas?
They bought 2 pepperoni pizzas. CHECK out all representations below!
Ratio written as a fraction (equivalent fractions):
Table representation:
Double number line representation:
200
Division Patterns. Find the Quotient for the following. You must have all five quotients correct to earn the points.
48 ÷ 4
12 ÷ 4
8 ÷ 4
4 ÷ 4
1 ÷ 4
Quotients
48 ÷ 4 = 12
12 ÷ 4 = 3
8 ÷ 4 = 2
4 ÷ 4 = 1
1 ÷ 4 = 1/4
200
2 cups of water mixed thoroughly with 8 teaspoons of powdered drink mix tastes the same as 1 cup of water mixed with 4 teaspoons of powdered drink mix.
How much water is needed for 64 teaspoons of powdered drink mix?
16 cups of water.
8 teaspoons times 8 = 64, so take 2 cups times 8 to get 16 cups.
200
The ratios 12:5 and 24:10 are equivalent ratios. Is the ratio 48:20 equivalent to these? Justify.
Yes, both 12 and 5 are multiplied by 4 to get 48 and 20. What you do to the left you MUST do to the right to keep them equivalent.
12 times 4 is 48
5 times 4 is 20
200
Fill in the missing values.
top number line: 3 and 12 (this can vary as long as the bottom number line is equivalent)
bottom number line: 20 and 120
200
A plane flew at a constant speed and traveled 755 miles in 5 hours.
How many miles would the plane travel in 3 hours at the same speed?
The plane could travel 453 miles in 3 hours.
Table:
Step by Step
755 miles/5 hours
Divide both sides by 5.
151 miles/1 hour
Multiply both sides by 3.
453 miles/3 hours
200
Based on the ratio, how many pepperoni pizzas did they buy if they bought 16 pizzas total?
They bought 4 pepperoni pizzas. CHECK out all representations below! *bonus Can you figure out how many cheese pizzas they bought?
Ratio written as a fraction (equivalent fractions):
Table representation:
Triple number line representation:
300
Agree or Disagree? Justify your answer.
The value (quotient) of 399 ÷ 7 is greater than the value of 399 ÷ 19.
Agree. If you take the same amount of items, 399, and put them into fewer piles, you will have more in each pile.
The value of 399 ÷ 7 is 57, the value of 399 ÷ 19 is 21.
300
A basic mixture of mortar can be made using the proportions of 1 water : 2 cement : 3 sand. Mortar is used between bricks when building.
Valerie has 5 parts of water and 15 parts of sand, how much cement does Valerie need?
10 parts cement.
1 times 5 = 5 parts of water
3 times 5 = 15 parts of sand
2 times 5 = 10 parts of cement.
300
The ratios 12:5 and 24:10 are equivalent ratios. Is the ratio 20:48 equivalent to these? Justify.
NO! Order matters!!
300
Chad set up the double number line below. Do you agree with how he set it up? Why or why not?
Your rate of speed is 5 miles per 2 hours. You traveled 15 miles.
Disagree. Chad labeled the top number line miles, so the 15 should go on the top number line, not the bottom number line.
300
Collin can bike 72 miles in 6 days. How many can they bike in 9 days?
Collin can bike 108 miles in 9 days.
Table:
Step by Step
72 miles/6 days
Divide both sides by 6
12 miles/1 day
Multiply both sides by 9
108 miles/9 days
300
Based on the ratio in the diagram, how many flies did the frog eat if he ate 60 bugs total?
The frog ate 18 flies. CHECK out all representations below! *bonus Can you figure out how many mosquitoes the frog ate?
Ratio written as a fraction (equivalent fractions):
Table representation:
