S2 (2.4) Percentages.notebook November 06, 2017

Transcription

1 Daily Practice Q1. Find 50% of 360 Q2. Round to the nearest unit Q3. Multiply out 3(2m + 4) Today we will be learning how to find a fraction of an amount. Q x 3 Q5. 48 x 200 Finding Fractions of Quantities Finding fractions of amounts 1. Find 1 / of Find 1 / 8 of Find 1 5 / 9 of 2790 Finding Fractions of Quantities Daily Practice Q1. Round to the nearest unit Q2. Find 25% of 240 Q x 5 Q4. Find of 40 Q5. Find of 12

2 Finding fractions of amounts *Divide by the bottom then multiply your answer by the top* Today we will be continuing to find fractions of amounts and working out simple percentages. (i) Find 2 / 3 of 33 (ii) Find 4 / 7 of 2849 (iii) Find 3 / 8 of 1604 Daily Practice Q1. Multiply out 2(3x + 4) Recap: Finding fractions of amounts Q2. Factorise 16-4x Q x 5 Q4. Find 75% of 360 Q5. Find the median and range of -2, 1, 3, 4, 7, 6, 8 Recap: Finding fractions of amounts Common Percentages as fractions

3 Familiar Percentages 10% 25% 50% 75% Daily Practice Q1. Find 5% of 800 Q2. Round to 1 decimal place Q3. Given a = 2.5 and b = 3, find the value of 3a +2b Q (-7) Q5. Multiply out 3(2x + 2) Today we will be continuing to learn about percentages. 1% 800 5% 50% 10% 25% 75%

4 Percentages of amounts: Calculator 1% 5% 50% 20 (i) 35% of 23 (ii) 4.5% of % 25% 75% Daily Practice Q1. Find 3% of 720 Q5. Find the mean of 5, 6, 7, 8, 1 Q2. 5 x 6-2 x 3 Percentages of amounts Questions: a) 1% of 112 b) 4% of 340 c) 2% of 807 Page 72&73 d) 9% of 650 e) 35% of 805 f) 19% of 51 g) 28% of 78 h) 34% of 325 i)20% of 3000 j) 43% of 90 k) 45% of l) 38% of Q x 8 Q4. Find 3 / 7 of 427 m) 14% of 4200 n) 30% of 1330 o) 8% of 122 p) 65% of 160 q) 2% of 34 r) 45% of 2.5 s) 5% of 78 t) 16% of Daily Practice Daily Practice Q1.Round to2decimalplaces Q2.Find34%of Questions Mental Maths Q3.Multiplyout2(2x+1) Q4.Ifh=2andg=4,whatisthevalueof2h+3g? Q x4

5 Daily Practice Q1. Round to 1 decimal place Q2. Find 17% of 800 Today we will be learning how to do some non-calc percentages using a quick method. Q Q4. Find 3 / 7 of 287 Q5. 10% of Quick Percentages Percentage Fraction Method 1. Find 20% of Find 33 % of Find 5% of Find 45% of 600 Quick Percentages Try these without using a calculator: Daily Practice Q1. Find 10% of % of % of % of 20 Q2. Find of % of % of % of 70 Q3. Round to the nearest unit 3. 75% of % of % of 92 Q4. Find 4% of % of % of % of 26 Q5. Multiply out 2(3n + 5)

6 S2 (2.4) Percentages.notebook November 06, 2017 Percentage Increase/decrease Find the percentage of the amount. Then add it on or take it away from the amount. L.I: Today we will be learning how to find a percentage increase/decrease of an amount. 1. A house was worth and it appreciated by 4%. What is the new value of the house? 2. A dress costs 52 and is in the sale with 15% marked off. How much is the dress now? Percentage Increases and Decreases. Find the new price after the sale Sweater 48 decrease by 15% Percentage Increases and Decreases. For each item find the new price DAB radio 62 Increase by 15% Trainers 42 decrease by 5% Plasma TV 570 decrease by 25% CD player 89 decrease by 36% Swimsuit 26 decrease by 13% Speakers 278 Increase by 5% Track suit 66 decrease by 23% Shorts decrease by 16% 1 Decrease these amounts by 12% (a) 9.50 (b) 348 (c) Find these employees new annual pay Assistant weekly wage % increase Supervisor weekly wage % increase Manager weekly wage % increase Daily Practice Success? I can find a percentage increase and decrease Q x 8 Q2. Find 3% of 800 Q3. Find 15% of 71 Q4. Multiply out 4(h + 3) 12cm Q5. What is the area of the triangle shown? 14cm

7 Writing a fraction as a percentage Write the fraction as an equivalent fraction over 100. L.I: Today we will be learning how to write a fraction as a percentage. S.C: I will be successful if I can convert a fraction that has a denominator which is a factor of 100 to a percentage. Daily Practice Q1. Round to 1 decimal place Writing a fraction as a percentage Write the following fractions as percentages: Q1. (i) (ii) (iii) (iv) Q2. Find 3% of 400 (v) (vi) *(vii) *(viii) Q3. Find 80% of 45 Q x 9 Q2. (a) Jenny got a result of 14 out of 25 in her homework. Write this as a percentage (b) Bill ate 7 of the 10 slices of the pizza, what percentage is this? (c) Darragh says the probability of rolling a dice and getting an even number is 3 out of 6. Write this as a percentage Q5. Collect the like terms: 3y + 2x + 4y - 5x + 8y Writing a fraction as a percentage Match the following fractions with their equivalent percentages L.I:Todaywewillbelearninghowtowriteallfractionsas decimalsandthenaspercentages. S.C:Iwillbeabletowriteafractionasadecimalandasa percentage. 96% 40% 85% 74% 92% 50% 75% 90% 60% 25%

8 Fractions as decimals How do you convert a fraction into a decimal? Think about fractions like To convert a fraction into a decimal, divide the numerator by the denominator. Convert the following fractions into decimals (a) (b) (c) (d) Fractions as decimals Convert the following into decimals (a) (b) (c) (d) (e) Fractions as decimals Convert the following into decimals (a) (b) (c) (d) (e) (f) (g) (h) (i) (j) (f) (g) (h) (i) (j) (l) (m) (n) (o) (p) Calculator: Round to 2 d.p. when needed (q) (r) (s) (t) (u) (l) (m) (n) (o) (p) Calculator: Round to 2 d.p. when needed (q) (r) (s) (t) (u) Decimals as percentages What is a percenatage out of? Decimals as percentages Write the following as percentages How would I write 0.35 as a percentage? (a) 0.35 (b) 0.05 (c) (d) To convert a decimal into a percentage, multiply it by 100

9 Decimals as percentages Convert the following into percentages: 1) ) ) 0.6 4) ) ) ) 0.2 8) 9) 10) I can convert any fraction into a decimal and then into a percentage. Success? 11) 12) 13) 14) 15) 16) Write 16 out of 27 as a percentage 17) Jo got 14 out of 17 in her test, express this as a percentage. 18) Kirsty ate 12 out of 20 cupcakes, write this as a percentage 19) Ciaran bought a car for 3000 and sold it for 1750, write the loss he made as a percentage 20) Abby got a result of 28 out of 40, write as a percentae Daily Practice Questions Mental Maths L.I: Today we will be completing a check-up on percentages. S.C: I will be able to answer various questions on percentages. Homework Online due