5 4 3 2 1 Learning Objectives. Number line I can find simple percentages of an amount, e.g. 25%, 50%, 75%, 10% I understand percentage as ‘number of parts per hundred’. I can calculate any percentages of an amount, using either calculator or non-calculator methods. I can compare two quantities using percentages. I can express one quantity as a percentage of another. I can work with percentages greater than 100% I can find the outcome of a given percentage increase or decrease. I can calculate the original price when I know the new price and the percentage increase / decrease. I can solve problems involving, for example compound interest and population growth using multiplicative methods. Print this slide and the next slide two to a page and give to pupils to glue into their books. These should be printed to colour paper so that pupils can easily find them in their books. Pupils should be referring to these in most lessons. Use the self assessment questions to decide what your Starting Point (SP) is for this unit of work.

Without using a calculator work out 50% 0f £110 25% of £60 75% of £120 10% 0f £82 Without using a calculator work out 35% of £80 Using a calculator, work out 12.5% of £24 Explain how you would increase £12 by 15% The normal price of a television is reduced by 30% in a sale. The sale price of the television is £350 Work out the normal price of the television. Jozef invests £1700 for 3 years at 4% per annum compound interest. Work out the value of his investment at the end of 3 years. Give pupils about 5 minutes to answer a questions they feel confident they can answer correctly and one they are not sure about. Explain to pupils how these self assessment questions can help them to identify their Start Point on the learning journey.

Get ready for the answers…. Mark SP (Start Point) at the relevant place on your Learning Journey.

Without using a calculator work out 35% of £80 Explain how you would increase £12 by 15% 15% = £1.80 The normal price of a television is reduced by 30% in a sale. The sale price of the television is £350 Work out the normal price of the television. Jozef invests £1700 for 3 years at 4% per annum compound interest. Work out the value of his investment at the end of 3 years. Give pupils about 5 minutes to answer a questions they feel confident they can answer correctly and one they are not sure about. Explain to pupils how these self assessment questions can help them to identify their Start Point on the learning journey.

5 4 3 2 1 I can find simple percentages of an amount, e.g. 25%, 50%, 75%, 10% I understand percentage as ‘number of parts per hundred’. I can calculate any percentages of an amount, using either calculator or non-calculator methods. I can compare two quantities using percentages. I can express one quantity as a percentage of another. I can work with percentages greater than 100% I can find the outcome of a given percentage increase or decrease. I can calculate the original price when I know the new price and the percentage increase / decrease. I can solve problems involving, for example compound interest and population growth using multiplicative methods. Print this slide and the next slide two to a page and give to pupils. Use the self assessment questions to decide what your Starting Point (SP) is for this unit of work.

Without using a calculator work out 35% of £80 10 % = £8 30% = £8 x 3 = £24 5% = £4 35% = £24 + £4 = £28 Using a calculator, work out 12.5% of £24 = £3 Explain how you would increase £12 by 15% 15% = £1.80 The normal price of a television is reduced by 30% in a sale. The sale price of the television is £350 Work out the normal price of the television. Jozef invests £1700 for 3 years at 4% per annum compound interest. Work out the value of his investment at the end of 3 years. Give pupils about 5 minutes to answer a questions they feel confident they can answer correctly and one they are not sure about. Explain to pupils how these self assessment questions can help them to identify their Start Point on the learning journey.

5 4 3 2 1 I can find simple percentages of an amount, e.g. 25%, 50%, 75%, 10% I understand percentage as ‘number of parts per hundred’. I can calculate any percentages of an amount, using either calculator or non-calculator methods. I can compare two quantities using percentages. I can express one quantity as a percentage of another. I can work with percentages greater than 100% I can find the outcome of a given percentage increase or decrease. I can calculate the original price when I know the new price and the percentage increase / decrease. I can solve problems involving, for example compound interest and population growth using multiplicative methods. Print this slide and the next slide two to a page and give to pupils. Use the self assessment questions to decide what your Starting Point (SP) is for this unit of work.

Without using a calculator work out 35% of £80 10 % = £8 30% = £8 x 3 = £24 5% = £4 35% = £24 + £4 = £28 Using a calculator, work out 12.5% of £24 = £3 Explain how you would increase £12 by 15% 15% = £1.80 £12 + £1.80 = £13.80 The normal price of a television is reduced by 30% in a sale. The sale price of the television is £350 Work out the normal price of the television. Jozef invests £1700 for 3 years at 4% per annum compound interest. Work out the value of his investment at the end of 3 years. Give pupils about 5 minutes to answer a questions they feel confident they can answer correctly and one they are not sure about. Explain to pupils how these self assessment questions can help them to identify their Start Point on the learning journey.

5 4 3 2 1 I can find simple percentages of an amount, e.g. 25%, 50%, 75%, 10% I understand percentage as ‘number of parts per hundred’. I can calculate any percentages of an amount, using either calculator or non-calculator methods. I can compare two quantities using percentages. I can express one quantity as a percentage of another. I can work with percentages greater than 100% I can find the outcome of a given percentage increase or decrease. I can calculate the original price when I know the new price and the percentage increase / decrease. I can solve problems involving, for example compound interest and population growth using multiplicative methods. Print this slide and the next slide two to a page and give to pupils. Use the self assessment questions to decide what your Starting Point (SP) is for this unit of work.

Without using a calculator work out 35% of £80 10 % = £8 30% = £8 x 3 = £24 5% = £4 35% = £24 + £4 = £28 Using a calculator, work out 12.5% of £24 = £3 Explain how you would increase £12 by 15% 15% = £1.80 £12 + £1.80 = £13.80 The normal price of a television is reduced by 30% in a sale. The sale price of the television is £350 Work out the normal price of the television. £350 = 70% £50 = 10% £500 = 100% Jozef invests £1700 for 3 years at 4% per annum compound interest. Work out the value of his investment at the end of 3 years. Give pupils about 5 minutes to answer a questions they feel confident they can answer correctly and one they are not sure about. Explain to pupils how these self assessment questions can help them to identify their Start Point on the learning journey.

5 4 3 2 1 I can find simple percentages of an amount, e.g. 25%, 50%, 75%, 10% I understand percentage as ‘number of parts per hundred’. I can calculate any percentages of an amount, using either calculator or non-calculator methods. I can compare two quantities using percentages. I can express one quantity as a percentage of another. I can work with percentages greater than 100% I can find the outcome of a given percentage increase or decrease. I can calculate the original price when I know the new price and the percentage increase / decrease. I can solve problems involving, for example compound interest and population growth using multiplicative methods. Print this slide and the next slide two to a page and give to pupils. Use the self assessment questions to decide what your Starting Point (SP) is for this unit of work.

Without using a calculator work out 35% of £80 10 % = £8 30% = £8 x 3 = £24 5% = £4 35% = £24 + £4 = £28 Using a calculator, work out 12.5% of £24 = £3 Explain how you would increase £12 by 15% 15% = £1.80 £12 + £1.80 = £13.80 The normal price of a television is reduced by 30% in a sale. The sale price of the television is £350 Work out the normal price of the television. £350 = 70% £50 = 10% £500 = 100% Jozef invests £1700 for 3 years at 4% per annum compound interest. Work out the value of his investment at the end of 3 years. £1912.27 ( to 2 d.p.) Give pupils about 5 minutes to answer a questions they feel confident they can answer correctly and one they are not sure about. Explain to pupils how these self assessment questions can help them to identify their Start Point on the learning journey.

5 4 3 2 1 I can find simple percentages of an amount, e.g. 25%, 50%, 75%, 10% I understand percentage as ‘number of parts per hundred’. I can calculate any percentages of an amount, using either calculator or non-calculator methods. I can compare two quantities using percentages. I can express one quantity as a percentage of another. I can work with percentages greater than 100% I can find the outcome of a given percentage increase or decrease. I can calculate the original price when I know the new price and the percentage increase / decrease. I can solve problems involving, for example compound interest and population growth using multiplicative methods. Print this slide and the next slide two to a page and give to pupils. Use the self assessment questions to decide what your Starting Point (SP) is for this unit of work.

This means you are stuck. You need to choose a strategy to un-stick yourself. This means you are learning. This is where you should find yourself most of the time Use this slide to have a class discussion about what strategies pupils can use when they are in the red zone. This means you understand so well that you could explain to someone else. You are ready for a new challenge.

Calculating percentages of an amount 11-Nov-18 Today’s Title. Today’s Date Calculating percentages of an amount 11-Nov-18 ? / 09 / 15 Copy down the title and the date and underline them. Calculating percentages of an amount

Give one of these haundouts to each pair of students.

Work out £50% of each instrument. Task A Work out £50% of each instrument. Remember to write down the price first. Task B Choose 4 instruments and work out 25%, 50%, 75% and 10% of the cost of each one. Remember to write down the price first. Task C Choose one instrument and work out as many different % as you can of the cost of the instrument, show all your working out. Task D Put each instrument into a sale. Decide what percentage you want to take off in the sale. Write down the sale price of the instrument. Print this slide and the next slide 2 to a page and give as a handout, one to each pair of students.

Example Task A Example Task B Example Task C 50% 0f £240 = 50% of £844 = 50% 0f £633 = ……. Example Task B 25% of £240 = 50% of £240 = 75% of £240 = 10% of £240 = Example Task C 5% of £240 = 15% of £240 = 73% of £240 = 23% of £240 = Example Task D Old price £240 Sale 35% off New price = Print this slide and the previous slide 2 to a page and give as a handout, one to each pair of students.

Task E Dave buys an ipod from a dodgy man in the street. He claims to have knocked 30% off the retail price. Dave pays £93. What was the retail price? My sister bought her Apple iphone for £241 in the 20% off sale on Amazon. What was the original price? You buy your favourite Nike trainers in the 35% off sale. They cost you only £52. What was the original price? You buy this smashing pair of jeans at a bargain price of £42 65% off the original price how much were they before? Jane bought a Dance party c.d on the internet, and then discovered she had to pay the vat at the checkout - she had to pay £15.58 in the end - how much did she think it was before the vat? Jim bought his snowboard on ebay for £180. The seller claims this was 40% cheaper than in Brighton Surf & Ski. What was the shop price? There is a 15% discount for members of the Brighton angling club at the Angling centre. If a Reel cost Adam £67, who is a member, how much would it be to Tom who isn’t? Philip’s mum said that his pocket money has gone up by 120% since he was in yr 7 - he now gets £9 a week, how much did he get in yr 7? Jenny is pricing up t-shirts for sale in her shop - she adds 60% to the price that they buy them in for - she places a label on them for £18 how much did she buy them for?

Reflecting on your learning. Slides 32 – 36 are optional plenary tools, pupils could use one of these to reflect on their learning during the lesson.

Print to A4, for four pupils.

Print to A4, for four pupils.

Print to A4, for four pupils.

Print to A4, for four pupils.

Tips I would give a friend to solve this problem are ......... I have made a link between this topic and … To help me move forward, when I got stuck today, I …. Today I interacted with the teacher by …… Today I am still unsure about ……………… To fill in this gap I intend to ………… A barrier to my learning today was……….. I will try to overcome this by ….. Today I explained to ………. how to ………….. Something I have learnt today about the way I learn is ……… At home, I need to look at ……………… Pupils pick one of these sentence starters to copy and complete in their books.