IDENTIFY RATIOS
If there are 4 apples for every 2 oranges. What are correct ratios of oranges to apples? Select all.
a. 2: 4 b. 4: 2 c.4: 8 d. 6: 2 e. 2 to 4
Original ratio is Oranges to Apples, or 2:4, therefore:
a. 2: 4 is correct
c. 4:8 is correct, if you scale up with multiplying by 2
e.2 to 4 is correct, since word form
What are Equivalent ratios?
Which is an equal ratio for 1:2? How do you know?
a. 2:4 b. 2:3
Equivalent ratios have the same comparison, like Equivalent fractions.
1:2 is equivalent to 2:4.
Scale up with multiplying both the 1 and 2 by 2 and then you have the ratio 2:4.
If Charlotte's paint has 2 red for every 4 blue and Pablo's paint has 2 red for every 3 blue, whose paint is more blue?
Charlotte's paint is more blue. 4 blue for every 2 red is greater than 3 blue for every 2 red.
4 blue is greater than 3 blue.
If you eat 3 healthy meals for every 15 unhealthy meals. How many healthy meals is that if there are 30 unhealthy?
Explain with a scale and math.
healthy: unhealthy
3:15
__: 30
The missing value is 6 healthy meals, scale up by multiplying by 2. 15 x 2 is 30 so 3 x 2 is 6.
Match equivalent ratios. Explain the scales.
a. 5:10 b. 2: 1 c. 500: 100 d. 8:4
Matched equivalent ratios
a. 5:10 matches with c.500:100, scale up with multiplying by 100.
b.2:1 matches with 8:4, scale up with multiplying by 4.
If there are 4 apples for every 2 oranges. What is the ratio of apples to total pieces of fruit? Explain each part of the ratio.
Apples to Total
4: 6
4 apples to 6 Total fruit.
Match Equivalent ratios. Show how you know they are Equivalent.
a. 1: 2 b. 2:3 c. 6:9 d.2:4
a. 1: 2 matches with d.2:4, scale up by multiplying by 2.
b. 2:3 matches with c.6:9, scale up by multiplying by 3.
Complete a table to prove that 9 Lavender to 2 Rose has a stronger Lavender scent.
Lavender: Rose
7:3 is equivalent to __: 6
9:2 is equivalent to ___: 6
Complete a table to prove that 9 Lavender to 2 Rose has a stronger Lavender scent.
Lavender: Rose
7:3 is equivalent to 14: 6
9:2 is equivalent to 27**: 6 More Lavendar!!!
27 Lavender is greater than 14.
If you have 15 pieces of fruit and seven are apples and the rest are pineapple, what is the ratio of pineapple to apple?
a. 15:7 b. 7: 6 c. 8: 7 d. 8: 15
15 Total pieces of fruit
7 are Apples
15-7= 8Pineapple
Pineapple to Apple
c. 8: 7
How do you know that these are NOT equivalent ratios explain? 8:5 is not equivalent to 16:7
8:5 would need to be scaled up to 16:10,not 16:7, since multiplying both parts of the ratio builds equivalent ratios. Scale up with multiplication or division.
At the zoo there are 350 giraffe for every 200 elephants. What is the ratio of elephants to total animals at the zoo?
Select all correct solutions.
a. 100: 340 b. 200: 440 c. 200: 550 d.20:55
Ratio of Elephant to Total animals
200: (350+200)
c.200: 550
d.20:55 (scale down for Equivalent ratios divide by 10)
Identify if 2:3 is equivalent to the ratio 40 to 60. How do you know? Show the scaling.
Yes, these are Equivalent Ratios.
2x 20= 40
3x 20=60
Scale by multiplying by 20 to create Equivalent Ratios.
Compare the Wins to Losses on a dart board.
Franklin win 2 to every 16 losses.
Jeremy wins 2 to every 8 losses. Who is better at darts?
Jeremy is better at darts. They have 2 wins for 8 losses, or 2 out of 10 total games.
Franklin only wins 2 out of 18 total games. Franklin has more losses than Jeremy.
Make a table and solve.
A school let’s scholars select their Connections. The following are ratios that are followed.
Art club to Health club: 7 to 13
Gym club to Art club: 5 to 7.
There are 140 students in the Art club.
How many students are in Gym? How many total students are there at the school?
Art Health Gym Total
7 13 5 25
140 260 100 500
GYM: 100 students. TOTAL: 500 students
Define Ratios. Identify if a Total could be a part of a Ratio. Write your own story problem with Ratios 4:3 and answer it.
Ratios are...
Comparisons between two items. One of those items can be a Total.
4 oranges to 3 apples, What is the ratio of oranges to total fruit?
The ratio of oranges to total is 4: 7.