05 06 2020 Percentages L O I understand

05. 06. 2020 Percentages L. O. I understand percentages as fractions and decimal

Warm up: A little twist on yesterday’s work – interpret the words then think there is a whole (w), a denominator (d) and a numerator (n) so… https: //uk. ixl. com/math/year-5/find-smaller-or-larger-fractions

05. 06. 2020 L. O. I understand percentages as fractions and decimals A quick warm up of converting decimals and fractions to percentages – remember the important (underlined) part of the word per-cent-age:

05. 06. 2020 L. O. I understand percentages as fractions and decimals 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12% 29% 34% 55% 1% 90% 27% 56% 40% 50% 25%

L. O. I understand percentages as fractions and decimals n d 0 1 10 ? 1 3 1 2 2 3 3 4 1 0 ? 0. 25 0. 33 0. 5 0. 67 ? 1 0 ? 25% 33% ? 67% 75% df % 100 There are some equivalents that you just need to know. Look at the lines above and see if you can complete the missing values!

L. O. I understand percentages as fractions and decimals n d 0 1 10 1 4 1 3 1 2 2 3 0 0. 1 0. 25 0. 33 0. 5 0. 67 3 4 1 df 0. 75 1 % 67% 10 50% 75% 100 33% 25% % For the tenths equivalents you need to remember that if the numerator is even you can simplify the fraction to fifths: 80% = 0. 8 = 4 5 For the 1 and 2 they are not easy to convert, so you need to learn them. Here I have rounded 3 3 them however, you would use recurring or end up with 0. 333333… and 0. 66666…, and 33. 3333…% and 66. 6666…% 0

L. O. I understand percentages as fractions and decimals Okay, Reasoning and Problem Solving. Remember to : R – read and read again; U – understand underline; C- write out your calculation; S – solve it, using you ‘best’ method of calculation; A – answer in context (km, g, £, cm, giraffes…), if it has one; C – Check your work! 7 = 7 parts of 100 = 7% 100 1 kg = 1000 g so 0. 15 = 150 percentage is out of 1000 ÷ 10 = 100 therefore, 150 ÷ 10 = 15 so 15% The second part was a little more challenging however, just follow the calculation! Try the next examples:

L. O. I understand percentages as fractions and decimals Complete these: 1 = 20% 5 100 1 kg = 1000 g so 0. 15 = 20% x 2 = 40% 7 = 35% 20 100 2+3=5=1 5 5 5 2 = 40% spent 5 100 60% saved

L. O. I understand percentages as fractions and decimals 1) 2 x 10 + 5 x 5 = 20 + 25 = 45 of the 100 = 45% 2) 25% = ¼ so ¼ of 100 = 100 ÷ 4 x 1 = 25 paving stones 3) 1 kg = 1000 g, 150 1000 ÷ 10 = 100 so 150 ÷ 10 = 15% 4) 45% 5) 40% 6) 60 = 60% 100% - 60% = 40% of the shoes do not have laces. 7) 27% + 18% = 45 100 (÷ 5) = 9 20 8) 50% + 5% = 55 100 = 0. 55 9) 50% = ½ so ½ of 80 = 40 therefore, 40 of the reptiles are lizards. 10) 3 = 30% 10 11) 10 – 4 = 6 = 60% 10