Ratios 6.1.2.1 Identify and use ratios to compare quantities; understand that comparing quantities using ratios is not the same as comparing quantities using subtraction. 6.1.2.2 Apply the relationship between ratios, equivalent fractions and percents to solve problems in various contexts 6.1.2.4 Use reasoning about multiplication and division to solve ratio and rate problems

I can… Write ratios three different ways Write equivalent ratios Compare ratios Self Assessment 5- I can do it without help & teach others. 4- I can do this with no help, but I don’t know if I can explain it. 3- I can do this with a little help. 2- I can do this with a lot of help! 1- I don’t have a clue.

Ratios ratio – a comparison of two numbers by division written in several different forms.

Ratios The order of the numbers in a ratio should match the order of the words in a ratio. apples to oranges 2 to 3

Ratios can be written in three different ways. Writing Ratios Ratios can be written in three different ways. red to white 3 to 1 3 : 1 3 1

Ratios Ratios can show comparisons between: part to part red to green green to red 2 to 1

Ratios Ratios can show comparisons between: part to whole red to whole green to whole 2 to 3

Ratios Ratios can show comparisons between: whole to part whole to red whole to green 3 to 2

Ratios Compare octagon to all shapes 1 out of 8 1 : 8 1/8 1 to 8

Ratios Compare all shapes to trapezoid 8/1 8 to 1 8 : 1

Ratios Compare pentagons to hexagons 2/3 2 to 3 2 : 3

Ratios in Simplest Form A ratio in fraction form can be expressed in simplest form by dividing the numerator and denominator by a common factor. ÷ 8 ÷ 3 = = ÷ 8 ÷ 3

Ratios Give each ratio in three forms. 8 roses out of 24 flowers   1 to 3 1 : 3 3 dogs out of 12 animals   1 to 4 1 : 4

Equivalent Ratios You can multiply or divide numerator and denominator of a ratio to find and equivalent ratio   x 4 x 4

Equivalent Ratios You can multiply or divide numerator and denominator of a ratio to find and equivalent ratio   x 4 x 4

Your Turn   Jason       ÷ 2 < ÷ 2

Comparing Ratios Sophie Like a fraction, you can compare ratios using decimals Sofia completes ¾ of her passes. Mike completes 7 out of 10 passes. Who has the better record?   Sophie      

Comparing Ratios Like a fraction, you can compare ratios by finding equivalent fractions 5 20 4 10 x 2 x 2 5 20 < 8 20

Comparing Ratios Like a fraction, you can compare ratios using the butterfly method 3 5 18 out of 30 90 90 3 5 = 18 30

> = Comparing Ratios Your turn… Choose a method 2 : 4 7 : 35 20 32 5 : 8

I can… Write ratios three different ways Write equivalent ratios Compare ratios Self Assessment 5- I can do it without help & teach others. 4- I can do this with no help, but I don’t know if I can explain it. 3- I can do this with a little help. 2- I can do this with a lot of help! 1- I don’t have a clue.

Ratios 8.1 Notes This That This : That This to That a comparison of two numbers by division written in several different forms This That This : That This to That Ratios can be reduced Equivalent ratios are just equivalent fractions Ratios can be compared by converting to decimals