Equivalent Ratios/Ratios

Ratios

100

There are 10 white marbles and 3 blue marbles. What is the ratio of white to blue marbles?

10:3

200

There are 27 white marbles and 13 blue marbles. What is the ratio of white to all marbles?

27:40

300

There are 2 red blocks, 3 orange blocks, and 4 black blocks. What is the ratio of all to black blocks?

9:4

400

There are 2 red blocks, 3 orange blocks, and 4 black blocks. What is the ratio of red blocks to black blocks to orange blocks?

2:4:3 - ORDER OF ASKING MATTERS

500

TRUE or FALSE: You make equivalent ratios by adding or subtracting the same number to all parts of the original ratio. 

FALSE!!!!!

Representing Ratios

100

PetSmart has 3 turtles for every 5 snakes.

Make any diagram to represent the ratio of turtles to snakes.

turtle - 3

snakes - 5

200

For every 2 baskets of apples, there are 5 basket of peaches. If there are 15 baskets of peaches, how many baskets of apples are there? Make any diagram to represent the ratio of turtles to snakes.

scale factor - 3

6:15 - so, 6 baskets of apples 

300

I am a world class pizza chef. Every 30 minutes I can make 7 pizzas. How many can I make in 2 and a half hours?  Make any diagram to represent the ratio of pizzas to hours.

minutes:pizzas - 30:7 - scale factor of 5 - 150:35 - 35 pizzas

400

If it takes 8 cups of flour for every 2 tsp of baking soda to bake a cake, how many tsp of baking soda would I need for 4 cups of flour? Create a double number line to represent the situation.

1tsp baking soda

500

For every 12 donuts there are 8 brownies at a bakery.  Make a table showing TWO reduced (smaller) equivalent ratios

6:4 and 3:2

Equivalent Ratios

100

What is the missing term that will make the ratios equivalent? 2 : 4 = ____ : 32

16

200

Write 2 equivalent ratios to 1:2.

2:4

3:6

4:8

etc.

300

Write 2 equivalent ratios to 3:1.

6:2 - 9:3 - 12:4 - etc

400

What is the missing term that will make the ratios equivalent? 

10:13 = ____ :52

40 (scale factor of 4)

500

Write 2 equivalent ratios to 8:10.

4:5 - 16/20 - 24/30 - 32/40 - etc.

Ratio Facts

100

What is it called when you want to find the smallest whole number in a ratio set?  (the first batch of a recipe for example)

UNIT ratio

200

give an example of why it may help to have more than two columns in a table or add a line to a double number line?

needing to find totals, more than two numbers in the ratio, etc

300

How to determine if two ratios are equivalent?

Simplify both ratios. If they have the same value, they are equivalent.

OR

Scale factor. If they have the same scale factor (multiply or divide by same number for both quantities of ratio), they are equivalent

400

Are the two ratios equivalent? 56:8   and  14:2

Use a table to show your thinking AND show the scale factor!!

Yes - scale factor of 4

500

Find a REDUCED (smaller) equivalent ratio to 18:4

9:2

Vocabulary

100

a comparison of two or more quantities

Ratio

200

equal in value, amount, function, meaning, etc.

equivalent

300

what is one of the MANY terms that means ONE?

per, each, every, unit

400

What is an equivalent ratio, or how do you find an equivalent ratio?

Multiply ALL parts of the ratio by the same scale factor

500

the number you multiply ALL numbers in a ratio by to find equivalent ratios

scale factor