The World of Ratios p. 19

Using what you know to find something new!

L

S

L L

S S

S S S

SSS

Draw circles for the counters. Use “L” tostand for the large dogs.

Use “s” to stand for thesmall dogs.

Throughout this unit, using LABELS will bevery important!

L L

S S

S S S

SSS

6 6

4 4

6 6

4 14

𝑙𝑎𝑟𝑔𝑒 :2𝑠𝑚𝑎𝑙𝑙 : 8

This is the SAME ratio written in three DIFFERENT ways!

268

Part: RedPart: BlueWhole: Total

Organizational tool

Let’s look at that first example a little more.There is a lot of information that is hiddenin that simple 2:6 ratio.

The red and blue clips areparts that make up the whole number of clips.2:6 is a part:part ratio.

What would 8:2 be expressing? What type would it be?

Use the side marginof your text pageto draw this ratio box…….

All the clips:Red clips

Whole:part ratio

Just as you cansimplify fractions bydividing out sharedfactors, ratios shouldalso be simplified.

Before simplifying, thisshows 2 reds for 6 blues.

Dividing the shapes showsthe simplified ratio of onered for each 3 blues.

4610

Part: sunsPart: moonsWhole: Total

4:6 = 2:3There are 2 sunsfor each 3 moons.

Order matters!!!!!!!!

Draw this box in your text!!

Categorical data is a fancy way to say we are putting the values into “categories.” Naming the color of the paper clips was categorizing the data.Differentiating between suns and moons was categorizing.LABELS ARE VERY IMPORTANT when workingwith ratios! USE THEM! It is not an option!

The flavors are the categories.

Notice they are asking for

something not given in the

chart!

Finding the “hidden” total is a good way to completea ratio table like this.

Total 21

The flavors are the categories.

8

3 6 7 8 24 Total 24

8 8 124 8 3

1 3

1 3

Part:

Part:

Part:

Whole: total 32

𝑐𝑎𝑡𝑠𝑡𝑜𝑡𝑎𝑙=

832=

14

𝑂𝑛𝑒𝑜𝑢𝑡 𝑜𝑓 𝑒𝑣𝑒𝑟𝑦 4 𝑎𝑛𝑖𝑚𝑎𝑙𝑠 𝑖𝑠 𝑎𝑐𝑎𝑡 .

Where did the 5 come

from?

part 2

part 3

total? 5

What does the 30 represent?

Ratio Real

30

There are 5 groups of 6 to total the 30 flowers.Now you can see how the text example used 2 groups of 6 and 3 groups of 6. WE had to come up with the value of 6 by using the hidden total and the 30.

pens:pencils 6: 8 3:4

For every three pensthere are 4 pencils.

pennies:dimes 3: 9 1:3

There is 1 penny foreach every three dimes.

Apples

9

Bananas

5

Peaches 4

Total 18

Bananas: Total 5: 18

5 of the 18 pieces of fruit were bananas.

Part: 3 Part: 4 Total : 7 28

How many in each group?

4 4 4

4 4 4 4 12 16

x 4 = 12 x 4 =16 x 4 =