Understanding Ratios are used to compare quantities or






















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Understanding Ratios are used to compare quantities or amounts.
For every 1 Yellow there are ______ blue For every __ blue there are ____ Red. There are ___ times as many Blue as Yellow. There are ___ times as many Red as Yellow.
Answer KEY For every 1 Yellow there are 2 blue For every 2 blue there are 3 Red. There are 2 times as many Blue as Yellow. There are 3 times as many Red as Yellow.
Watch the Math Antics Video called Ratios & Rates Click on the link below. https: //www. youtube. com/watch? v=RQ 2 n. YUBVvq. I You can stop watching at 5: 45
Watch the Math Antics Video called Ratios & Rates Click on this link! https: //www. youtube. com/watch? v=USmit 5 z. UGas You can stop watching at 3: 05
Ratio Vocabulary q q q Click to Listen Equivalent Ratios (Example: 1: 2 and 5: 10 ) Proportional - 2 ratios that are equal If one amount is proportional to another, the two amounts increase and decrease at the same rate so there is always the same relationship between them. Both ratios are Increasing by a factor of. . 5 (x 5) x 5 1: 2 and 5: 10 is increasing by a factor of 5 (x 5) x 5 q Ratios in a Simplified Form (5: 10 and 1: 2) Decreasing by a factor of 5 ( 5) 5 5
Ratio with Spy Guys Click on the link below and work through the Spy Guys lesson on Ratio http: //www. learnalberta. ca/content/mesg/html/math 6 web/index. ht ml? page=lessons&lesson=m 6 lessonshell 03. swf
Real World Ratios - Making Iced Tea! Iced Tea Recipe (Write out answer on loose leaf) Mix 1 cup of ice tea mix into every 5 cups of water. What is the ratio of Mix to Water? 1: 5 or 1 to 5 What would the ratio look like if I want to make 10 cups of Ice Tea? 20 Cups? How did the numbers change? # of Cups of Ice Tea you want to make Ratio Mix to Water 5 Cups 1: 5 10 Cups 20 Cups
Part to Part Ratio: Stars to Circles 3 to 2 3: 2 Part to Whole Ratio: Stars to Whole Shapes 3: 5 3 to 5 3 5 Circles to Stars 2 to 3 2: 3 Circles to Whole Shapes You can also use a fraction to represent part-towhole ratios 2: 5 2 to 5 2 5
On Loose leaf Write each ratio. 2 Ways 1. 2. 3. 4. 5. 6. 7. Circles to squares Example: 7 to 5 Circles to clouds Clouds to circles Circles to all figures Clouds to all figures All figures to squares Squares to all figures 7: 5 You can also use a fraction to represent part-towhole ratios
Answers 1. 2. 3. 4. Circles to squares 7 to 5 7: 5 part-to-part Circles to clouds 7 to 3 7: 3 part-to-part Clouds to circles 3 to 7 3: 7 part-to-part Circles to all figures 7 to 15 7: 15 7/15 part-towhole 5. Clouds to all figures 3 to 15 (1 to 5 or 1/5) part-to-whole 6. All figures to squares 15 to 5 (3 to 1) whole-to-part 7. Squares to all figures 5 to 15 (1 to 3 or 1/3) part-to-whole
On Loose Leaf Write the ratios. The class has 24 students. 9 are girls. Write each Ratio 2 ways. 8. Girls to boys 9. Boys to girls 10. Girls to all students 11. Boys to all students You can also use a fraction to represent part-towhole ratios
Answers The class has 24 students. 9 are girls. 8. Girls to boys 9: 15 = 9 to 15 9. Boys to girls 15: 9 = 15 to 9 9 10. Girls to all students 9: 24 = 9 to 24 or 24 11. Boys to all students 15: 24 = 15 to 24 or 15 24
Skittles/Smarties Ratio l l l l Get a piece of loose leaf and write as many different ratios you can for the skittles/smarties in your pack. If you don’t have Skittles or Smarties, grab a handful of mutli-coloured lego or blocks. Write ratios for Part to Part Write ratios for Part to Whole You can write them in different ways. Red to Yellow 12: 15 12 to 15 or Simplified to 4: 5 Red to All Candies 12: 60 12 to 60 or Simplified to 1: 5 12 60 12 12 = 1 5
Time to Practice (Grab some Loose leaf) 1. Write 2 equivalent ratios for each ratio. a) 5: 7 d)12: 20 b) 4: 9 c) 10: 15 2. Write each ratio in lowest terms (simplify) a)75: 25 b) 20: 80 c)85: 15 d) Look 28: 72 3. at the fruits. e)32: 48 Write each ratio in lowest terms. a) Apples to Bananas = b) Bananas to oranges = c) Apples to Fruit = d) Oranges to Fruit = f)30: 25
KEY**Time to Practice 1. a) Write 2 equivalent ratios for each ratio. (There are many possible answers) 5: 7 10: 14 (x 2) 50: 70 (x 10) b) 4: 9 8: 18 (x 2) 16: 36 (x 4) c) 10: 15 24: 40(x 2) 2: 3 (÷ 5) 20: 30 (x 2) d)12: 20 6: 10(÷ 2) 3: 5(÷ 4) 2. Write each ratio in lowest terms (simplify) a)75: 25 3: 1 (÷ 25) b) 20: 80 1: 4 (÷ 20) c)85: 15 17: 3 (÷ 5) d) 28: 72 f)30: 25 6: 5 (÷ 5) 7: 18 (÷ 4) e)32: 48 3. Look at the fruits. Write each ratio in lowest terms. a) Apples to Bananas = 5: 4 b) Bananas to oranges = 4: 6 = 2: 3 c) Apples to Fruit = 5: 15 = 1: 3 d) Oranges to Fruit = 6: 15 = 2: 5 4: 6 (÷ 8)
Draw out and Complete the Table on loose leaf. Ratio 9: 25 82: 100 Fraction Decimal Percent 9 = 36 25 100 2 = 4 5 10 0. 82 65%
Answer KEY Ratio 9: 25 2: 5 82: 100 65: 100 Fraction Decimal Percent 9 = 36 25 100 2 = 4 5 10 82 100 65 100 15 0. 36 36% 0. 4 40% 0. 82 82% 0. 65 65%
Take the Ratio/Proportion Challenge!
KEY!! Ratio/Proportion Challenge! = Chocolate Donuts = There are 2 chocolate for every 6 donuts SO therefore there will be 6 chocolate out of 18 donuts. There are 7 chocolate for every 12 donuts 21 = 36 x 3 You must increase by a factor of 3 (x 3) to find out how many would be honey out of 36 donuts.
Print and Complete the Ratio Practice Pages posted on our Website under Math. (or complete the work on loose leaf if you don’t have access to a printer) Take a picture of your completed pages and send them in using Seesaw! The Key is provided so you can check your work as you go to make sure you are on the right track. If you make and error, take the time to figure out why.
Go to. Athe kitchen and find a Ratio Challenge! delicious recipe. Double or Triple the recipe and write out the correct quantity of each ingredients. (this can also be a challenge with fractions. ) The proportions of each ingredient must increase the same rate! x 2 or x 3 You could even try halving the recipe!