Percentages Pals L I We are learning to
- Slides: 39
Percentages’ Pals! L. I – We are learning to convert percentages to fractions L. I – We are learning to find percentages of amounts
Recap •
Recap You then looked at finding a percentage of an amount… You started with 10% of an amount
Recap •
Let’s check in Check how fully you understand your learning from last week with this quick check in… Solve these problems: 1) Find 10% of 90 = = 3) Find 50% of 60 = (2) Find 25% of 40 (4) Find 75% of 80 =
check in answers Check how fully you understand your learning from last week with this quick check in… Solve these problems: 1) Find 10% of 909= = 30 3) Find 50% of 60 = (2) Find 25% 10 of 40 Find ¼ of 80 = 20 then find ¾ by 80 finding (4) Find 75% of = 3 sets of 20 = 60
More recap You then looked at finding multiples of 10% of amounts e. g. x 4 x 3 10% of 30 = 3 x 4 40% of 30 = 12 10% of 250 = 25 x 3 30% of 25075 = = 30 3 3 33 = 12 = 250 252525
check in Check how fully you understand your learning from last week with this quick check in… Solve these problems: 1) Find 10% of 90 = 500 = 20% of 90 = 500 = 3) Find 45 = 10% of 810 = 80% of 810 = (2) Find 10% of 60% of (4) Find 10% of 30% of
check in Check how fully you understand your learning from last week with this quick check in… Solve these problems: 1) Find 10% of 90 9= of 500 x 2= 18 20% of 90 = of 500 = x 8 3) Find of 45 = 21 168 10% of 210 = 80% of 210 = (2) Find x 2 x 6 10% 50 300 x 6 60% x 8 x 3 (4) Find 4. 5 13. 10% 5 30% x 3
Finding 1% You know how to find 10% of a number. How do you think you might find 1% of a number? ?
Finding 1% You know how to find 10% of a number. How do you think you might find 1% of a number? ? To find 10% of a number, we divide by 10 To find 1% of a number, we divide by 100!
Finding 1% • H T U 3 5 0 . . . t h th
Your turn Find 1% of the following numbers: 1) 1% of 500 needed 2) 1% of 1000 3) 1% of 400 4) 1% of 250 5) 1% of 670 6) 1% of 1245 Use this grid to help if H T U . t h th
Your turn Find 1% of the following numbers: 1) 1% of 500 = 5 needed 2) 1% of 1000 3) 1% of 400 4) 1% of 250 5) 1% of 670 6) 1% of 1245 Use this grid to help if Th H T 5 0 U 0 . . . t h th
Your turn Find 1% of the following numbers: 1) 1% of 500 = 5 needed 2) 1% of 1000 = 10 Th 1 3) 1% of 400 4) 1% of 250 5) 1% of 670 6) 1% of 1245 Use this grid to help if H T U 0 0 0 . . . t h th
Your turn Find 1% of the following numbers: 1) 1% of 500 = 5 needed 2) 1% of 1000 = 10 Th 3) 1% of 400 = 4 4) 1% of 250 5) 1% of 670 6) 1% of 1245 Use this grid to help if H T U 4 0 0 . . . t h th
Your turn Find 1% of the following numbers: 1) 1% of 500 = 5 needed 2) 1% of 1000 = 10 Th 3) 1% of 400 = 4 4) 1% of 250 = 2. 5 5) 1% of 670 6) 1% of 1245 Use this grid to help if H T U 2 5 0 . . . t h th
Your turn Find 1% of the following numbers: 1) 1% of 500 = 5 needed 2) 1% of 1000 = 10 Th 3) 1% of 400 = 4 4) 1% of 250 = 2. 5 5) 1% of 670 = 6. 7 6) 1% of 1245 Use this grid to help if H T U 6 7 0 . . . t h th
Your turn Find 1% of the following numbers: 1) 1% of 500 = 5 needed 2) 1% of 1000 = 10 Th 1 3) 1% of 400 = 4 4) 1% of 250 = 2. 5 5) 1% of 670 = 6. 7 6) 1% of 1245 = 12. 45 Use this grid to help if H T U 2 4 5 . . . t h th
Finding 5% There are 2 different ways to find 5% of a number – can you think of them? Think about the connection between knowing 1% or knowing 10% of a number
Method 1 – knowing 1% • x 5
Method 1 – knowing 1% • x 5
Method 1 – knowing 1% • x 5
Try your own 1) Find 5% of 700 = 2) Find 5% of 1000 = 3) Find 5% of 600 = 4) Find 5% of 1200 = 5) Find 5% of 370 =
Try your own - answers 1) Find 5% of 700 = 35 1% = 7 5% = 35 2) Find 5% of 1000 = 50 1% = 10 5% = 50 3) Find 5% of 600 = 30 1% = 6 5% = 30 4) Find 5% of 1200 = 60 1% = 12 5% = 60 5) Find 5% of 370 = 18. 5 1% = 3. 7 5% = 18. 5
Method 2 In this method, we’re going to use our knowledge of finding 10% in order to find 5%. E. g. Let’s find 5% of 600 10% of 600 = 60 5% of 600 30 =
Method 2 In this method, we’re going to use our knowledge of finding 10% in order to find 5%. E. g. Let’s find 5% of 800 10% of 800 = 80 5% of 800 = 40
Method 2 In this method, we’re going to use our knowledge of finding 10% in order to find 5%. E. g. Let’s find 5% of 1200 10% of 1200 = 120 5% of 1200 = 60
Method 2 In this method, we’re going to use our knowledge of finding 10% in order to find 5%. E. g. Let’s find 5% of 750 10% of 1200 = 75 5% of 1200 = 37. 5
Try your own Use this method to find 5% of the following amounts 1) 2) 3) 4) 5) Find 5% of 700 Find 5% of 2000 Find 5% of 400 Find 5% of 1400 Find 5% of 3000
Try your own - answers Use this method to find 5% of the following amounts 1) 1) 1) Find 5% of 700 = 14 10% = 70 5% = 35 Find 5% of 2000 = 100 10% = 200 5% = 100 Find 5% of 400 = 20 10% = 40 5% = 20 Find 5% of 1400 = 70 10% = 140 5% = 70 Find 5% of 3000 = 150 10% = 300 5% = 150
Converting percentages to fractions •
Try these •
Try these •
Notice something? •
You try Convert the following percentages to fractions. Simplify these fractions where possible – remember, if the numerator ends in an even number, you can divide by at least 2 1) 20% = (2) 40% = 5) 50% = (6) 14% = (3) 80% = (7) 28% = (4) (8) 30% = 35% =
You try •
Fractions to percentages •
Your Tasks Mild – converting percentages to fractions, no need to simplify - finding 1% and 5% with whole number answers Spicy – Converting percentages to fractions and simplify - finding 1% and 5% with whole number and decimal answers (tenths) Hot – converting percentages to fractions and simplify - finding 1% and 5% with whole number and decimal answers with problem solving aspects
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