Which ones are you using?

Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Real life cross/curricular links? Where are we in our journey? Which ones are you using? Enterprise Skills LESSON OBJECTIVES Always aim high! We are learning to: • Enhance our Mathematical learning skills. (Which Enterprise skills?) • Accurately calculate percentage increase and decrease without a calculator. (Level 5) AUTHOR www.mistrymaths.co.uk

Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker LEARNING JOURNEY Enterprise Skills Which ones are you using?

Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker BRAIN IN GEAR Enterprise Skills Which ones are you using? EXAMPLE DITDIONA can be rearranged to make ADDITION TASK Work out the following Mathematical anagrams: Profit Loss VAT EXTENSION Develop your own Mathematical anagrams as above as a creative entrepreneur.

Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker STARTER Enterprise Skills Which ones are you using? TASK EXTENSION 1) 1) Find the nth term and 25th term of: -7, -1, 5, 11, ….. Find 30% of £90: - 3 10% = £9 37 12 5 4 3 5 3 5 7 24 30 3 8 30 x3 x3 £27 30% = 110 70 30 6 8 6 5 7 4 8 13 2) Write as a decimal and percentage 20 +6 +6 +6 6n 0.65 - 13 = 65% = 3) Work out the following: 6 x 25 - 13 25th Term = X 5 X 6 25th Term = 137 (a) (b) - ÷ X 5 X 6 2) Use a calculator to write the following as percentages: 25 18 20 4 5 x = = (a) 37 out of 110 = = = 33.6% 100 = X 4) Work out the following: 48 hours x x (b) 12 out of 70 2days £42 of of (b) 100 17.1% = ÷ ÷ X £24 18 hours = =

Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? ÷10 ÷100 10% 1% EXAMPLES Work out the final amount when: (b) (a) 20miles is decreased by 40% £60 is increased by 20% 10% = 2miles 10% = £6 x4 x4 x2 x2 8miles 40% = £12 20% = We now need to decrease 20miles by 8miles We now need to increase £60 by £12 £72 12miles £60 + £12 = 20miles - 8miles = (c) 80minutes is decreased by 35% (d) 120kg is increased by 17.5% 10% = 8mins 10% = 12kg x3 x3 ÷2 ÷2 30% = 24mins 5% = 6kg 5% = 4mins 2.5% = 3kg 28mins 35% = 17.5% = 21kg We now need to decrease 80mins by 28mins We now need to increase 120kg by 21kg ÷2 ÷2 52mins 80mins - 28mins = 141kg 120kg + 21kg =

Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? TASK 1 (LEVEL 5) 1) Work out the final amount when: (c) (b) (a) £120 is increased by 20% £68 is decreased by 10% £40 is increased by 10% 10% = £4 10% = £6.80 10% = £12 x2 x2 £44 £61.20 £24 20% = £40 + £4 = £68 - £6.80 = £144 £120 + £24 = (e) (f) (d) £110 is decreased by 70% £65 is decreased by 40% £90 is decreased by 30% 10% = £9 10% = £6.50 10% = £11 x3 x3 x4 x7 x4 x7 £27 30% = 40% = £26 £77 70% = £63 £90 - £27 = £39 £33 £65 - £26 = £110 - £77 = (i) (h) (g) £300 is decreased by 55% £240 is increased by 35% £6.80 is increased by 17.5% 10% = £0.68 10% = £24 10% = £30 ÷2 ÷2 x3 x3 x5 x5 5% = £0.34 30% = 50% = £72 £150 2.5% = £0.17 5% = £12 5% = £15 ÷2 ÷2 £84 £165 35% = 55% = £1.19 17.5% = £324 £135 £7.99 £240 + £84 = £300 - £165 = £6.80 + £1.19=

Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? TASK 2 (LEVEL 5) RULES - Take it in turns to pick a number from the left column and increase or decrease it by a percentage from the right column. - Cover the answer on the grid with a counter. - First player to get four counters in a line wins. - Lines can be horizontal, vertical or diagonal.

Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? EXTENSION 1 (LEVEL 5) 1) A bat colony has 40 bats. Over the breeding season the population increases by 30%. (a) How many new bats were born? (b) How many bats are there in the colony after the breeding season? 12 bats 52 bats 2) In a wood there are 20000 midges. During the evening bats eat 45% of the midges. (a) How many midges were eaten by the bats? (b) How many midges were left after the bats were eaten? (c) What percentage of midges remain? 9000 midges 11000 midges 55% 3) In a sale all prices are reduced by 15%. Give the new prices of items that previously cost: (i) £17.40 (ii) £26 (iii) £52.80 (iv) £74 = £62.90 = £14.79 = £22.10 = £44.88 4) An electrical company increases it prices by 5%. Give the new price of the items which previously cost: (i) £230 (ii) £130 (iii) £385 (iv) £99 = £404.25 = £136.50 = £241.50 = £103.95

Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? EXTENSION 2 (LEVEL 5) – TREASURE HUNT

Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? MINI-PLENARY ACTIVITY – AFL CARDS 200 increased by 10% 202 210 A) B) Correct!  2000 220 C) D)

Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? MINI-PLENARY ACTIVITY – AFL CARDS 80 increased by 10% Correct!  88 810 A) B) 90 81 C) D)

Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? MINI-PLENARY ACTIVITY – AFL CARDS 500 decreased by 10% 550 490 A) B) Correct!  450 400 C) D)

Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? MINI-PLENARY ACTIVITY – AFL CARDS 40 decreased by 25% Correct!  35 30 A) B) 15 50 C) D)

Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? MINI-PLENARY ACTIVITY – AFL CARDS 100 decreased by 40% 96 40 A) B) Correct!  60 66 C) D)

Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? MINI-PLENARY ACTIVITY – AFL CARDS 60 increased by 15% 69 51 Correct!  A) B) 45 75 C) D)

Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? MINI-PLENARY ACTIVITY – AFL CARDS A number was increased by 20% The result was 120 What was the number? 140 110 A) B) Correct!  96 100 C) D)

Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? MINI-PLENARY ACTIVITY – AFL CARDS A number was decreased by 20% The result was 160 What was the number? 180 192 A) B) Correct!  200 128 C) D)

Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker • LINK BACK TO OBJECTIVES • Accurately calculate percentage increase and decrease without a calculator. What level are we working at? DISCOVERY Enterprise Skills Which ones are you using?

Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? PLENARY ACTIVITY – BINGO Draw a 3 x 3 grid as shown below: Place any nine numbers below into the grid (repeats forbidden) 24 12 25 63 49 48 15 36 21 54 30 16 9 10 55 33

Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? PLENARY ACTIVITY – BINGO Decrease 25 by 40% 15

Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? PLENARY ACTIVITY – BINGO Increase 20 by 20% 24

Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? PLENARY ACTIVITY – BINGO Increase 12.5 by 100% 25

What level are we working at? Where are we in our journey? What have you learnt? Draw your brain In your brain, write or draw everything you can remember about calculating percentage increase and decrease without a calculator. It can be a skill or a reflection, or something else that might be prominent in your brain.

Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen SELF ASSESSMENT Enterprise Skills Which ones are you using? Plenary Activity How well do you understand the task? . I fully understand I don’t understand I nearly understand www.mistrymaths.co.uk

Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen SELF ASSESSMENT Enterprise Skills Which ones are you using? Plenary Activity WWW (What Went Well) EBI (Even Better If) On your post it notes… Think about how you can improve your work. www.mistrymaths.co.uk

Which ones are you using?

Which ones are you using?

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