Developing my understanding of percentages 17-Nov-18 Today’s Title. Today’s Date Developing my understanding of percentages 17-Nov-18 ? / 09 / 15 Copy down the title and the date and underline them. Developing my Understanding of percentages

Starter Activity On your - Mini White Boards Write a percentages question which has an answer of £10 Your question can be as easy or difficult as you want to make it but the answer must be £10

Today’s Task Review your progress over the last few lessons. Do you need further practice on the skill that you worked on last lesson? This was either:- Calculating 50%, 25%, 75% and 10% Calculating any percentage of an amount Increasing and decreasing by a percentage Calculating an original amount / reverse percentage questions Are you ready to try something more challenging? Make sure that you select the appropriate task and stay on task for the whole lesson. You must make sure that your answers are correct before changing tasks.

Task A - 50%, 25%, 75% and 10%

Task B - PERCENTAGE BUBBLES 90% 20% 25% 75% 100% 10% 5% 1% 120 50% 40% 80% 2% Work out 10% and then fill in the other bubbles

Work out 10% and then fill in the other bubbles 90% 20% 25% 75% 100% 10% 5% 1% 58 50% 40% 80% 2% Work out 10% and then fill in the other bubbles

Task C – Percentage Increase and Decrease

Task D - Reverse Percentages

Task D - Reverse Percentages 1. I buy an MP3 music player for £40 in a sale where it was 20% off. What was the original price of the MP3 player? 2. In a class there are 9 people absent with flu. This is 20% of the class. (a) How many are there in the class when no-one is off ill? (b) How many are in the class today? 3. If 50% is 75, what is 100%? 4. If 35% is 70, what is 100%? 5. Peter works in a shop and was told to increase the prices by 15%. He increased one price to £172.50. What was the original price? 6. In July, a miniature railway increased its prices by 25% to £1.50 and visitor numbers in August dropped by 8% to 5520: (a) What was the price in July? (b) How many visitors were there in July? (c) Their costs haven’t changed, but they made 30% profit in August. How much profit did they make in pounds in August? (d) How much profit did they make in July (e) Was it a good idea to raise the prices?

Answers Ask your teacher for the answer sheet. Make sure that you check your answers before moving on to the next task.

Task A - 50%, 25%, 75% and 10%

Task B - PERCENTAGE BUBBLES 90% 20% 25% 75% 100% 10% 5% 1% 120 50% 40% 80% 2% Work out 10% and then fill in the other bubbles

Work out 10% and then fill in the other bubbles 90% 20% 25% 75% 100% 10% 5% 1% 58 50% 40% 80% 2% Work out 10% and then fill in the other bubbles

Task C – Percentage Increase and Decrease

Task D - Reverse Percentages

Task D - Reverse Percentages 1. I buy an MP3 music player for £40 in a sale where it was 20% off. What was the original price of the MP3 player? 2. In a class there are 9 people absent with flu. This is 20% of the class. (a) How many are there in the class when no-one is off ill? (b) How many are in the class today? 3. If 50% is 75, what is 100%? 4. If 35% is 70, what is 100%? 5. Peter works in a shop and was told to increase the prices by 15%. He increased one price to £172.50. What was the original price? 6. In July, a miniature railway increased its prices by 25% to £1.50 and visitor numbers in August dropped by 8% to 5520: (a) What was the price in July? (b) How many visitors were there in July? (c) Their costs haven’t changed, but they made 30% profit in August. How much profit did they make in pounds in August? (d) How much profit did they make in July (e) Was it a good idea to raise the prices?

Plenary –No hands up questioning Mini white boards ready…..

Finding 50% is the same as.... Finding half

Finding 50% is the same as.... Dividing by 50

Halving then halving again. Finding 25% is the same as.... Halving then halving again.

Finding 25% is the same as.... Finding 1/4

Finding 25% is the same as.... Dividing by 4

Dividing by 10 is the same as.... Taking off a zero

Finding 10% is the same as.... Dividing by 10

Finding 10% is the same as dividing by 10 so finding 20% is the same as....

Finding 10% and then halving the answer. Finding 5% is the same as Finding 10% and then halving the answer.

75% is the same as 50% and 25% added together.