Aunt Dotty decided to give her nephew and niece £200 between them. Because the niece is older, it is decided that the money must be divided so that she gets £3 for every £2 her brother gets. How much does each child get?

Mobile Phone Tariffs

Texts Cost1000 £8.002000

£4.00

Ratio and Proportion

Learning objectives:All – use direct proportion in simple contexts

Most – understand the relationship between ratio and proportion

Some – divide a quantity into parts in a given ratio

Direct Proportion

• When 2 quantities are in direct proportion, if one increases the other increases by exactly the same proportion.

• Also if one decreases, the other decreases by exactly the same proportion.

Test Yourself

• 100g of fruit is needed for 24 sconesa) How much fruit is needed for 48 scones?b) How much fruit is needed for 6 scones?

Proportional Cook Off!

• We are going to cook a 3 course meal for all the students in the class.

• Your mission today is to organise what we will need in order to cook everything (there are 30 pupils in the class)

1. Recalculate the amount of ingredients you will need for your chosen recipe

2. Re-write the recipe with the correct measurements for everyone in the class

3. Complete a shopping list using the information provided including prices

Who cooks what?

• If you are thinking this looks a bit tricky, you are the best people to organise the starters

• If you are happy with what you have to do, you should organise the main courses

• If you are up for an extra challenge, you can tackle the dessert.

Prawn Cocktail:

Ingredients:

500g of cooked prawns3 iceberg lettuces125 ml of sea food sauce10g paprika

(serves 5)

Roast butternut squash and red pepper soup

Ingredients:

½ a butternut squash, 1 tsp cumin seeds2 tbsp olive oil½ an onion, peeled, finely chopped½ a red pepper, roasted, chopped200ml of vegetable stock

(serves 1)

Chicken Caesar Salad:

Ingredients:

4 slices of prosciutto2 chicken breasts1 tsp butter2 thick slices white bread2 iceberg lettuces

(serves 2)

STARTERS

Roast Dinner

Ingredients

1.5 kg chicken 50g softened butter 2 tsp dried mixed herbs 750g potatoes , chopped into roastie size 500g carrots, each chopped into 2-3 chunks2 tbsp olive oil 100g frozen peas 300ml chicken stock

(serves 4)

Steak and chips

Ingredients

For the chips 8 tbsp olive oil2 large baking potato, peeled and cut into chipssalt and freshly ground black pepper

For the steak 500g rump steaksalt and freshly ground black pepper1 tbsp olive oil

(serves 4)

Pepper, tomato and basil pasta

Ingredients

6 long sweet peppers, red, yellow, and orange24 cherry tomatoes 4 cloves of garlic, peeled14 tbsp olive oil 2 large bunches of basil 800g orecchiette pasta salt and pepper

(serves 4)

Main courses

Jammy biscuits

Ingredients

Ratio of self raising flour, sugar, butter = 2:1:11 egg per 200g self raising flour2tbsp jam per 50 g sugar50g self raising flour makes 5 biscuits

(makes 10 biscuits, everyone will want 2 biscuits each)

DessertsStrawberry Knickerbocker Glory

Ingredients

Vanilla ice creamRatio of whole milk, double cream =4:51 vanilla pod per 600 ml of whole milk 7 egg yolks per 250 g sugar250g sugar and 600 ml of whole milk is enough for 4 sundaes

Strawberry compoteRatio of orange juice to crème framboise = 1:12 vanilla pods per 750ml of orange juice1 lemon and 1 orange (zest only)8 peppercorns per 25 strawberries25 strawberries makes enough compote for 4 sundaes

(makes 4 sundaes, people will share 1 between 2)

Chocolate Cheesecake

Ingredients

FillingRatio of chocolate, cream cheese, caster sugar= 4:10:33 eggs per 200ml soured cream200g of chocolate is enough to make a cheesecake that serves 10 people

Biscuit baseRatio of biscuits to butter = 6:150g of butter is needed for a base that serves 10(makes a cheesecake that serves 10)

Plenary

• We decided to serve canapés as people arrive for the meal.

• Each canapé is made up of a cracker, 5g of cream cheese and a walnut.

• If we are going to make 30 canapés, what quantities of ingredients would we need?

• If we are going to make 60 canapés what quantities would we need?

Rate yourself!

Learning objectives:• All – use direct

proportion in simple contexts

• Most – understand the relationship between ratio and proportion

• Some – divide a quantity into parts in a given ratio