Goteachmaths.co.uk Recipes.

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Presentation transcript:

goteachmaths.co.uk Recipes

16 November 2018 Recipes

Ingredients for 10 cakes… Ingredients for 20 cakes… 400g sugar x 2 800g sugar 500g flour x 2 1Kg flour 2 eggs x 2 4 eggs 50g butter x 2 100g butter How much sugar, flour, eggs and butter do I need for 20 cakes?

Ingredients for 8 cakes… Ingredients for 12 cakes… 400g sugar x 1.5 600g sugar 500g flour x 1.5 750g flour 2 eggs x 1.5 3 eggs 50g butter x 1.5 75g butter How much sugar, flour, eggs and butter do I need for 12 cakes?

Ingredients for 6 muffins… Ingredients for 18 muffins… 300g sugar x 3 900g sugar 200g flour x 3 600g flour 5 eggs x 3 9 eggs 15g butter x 3 45g butter How much sugar, flour, eggs and butter do I need for 18 muffins?

Ingredients for 6 muffins… Ingredients for 3 muffins… 300g sugar / 2 150g sugar 200g flour / 2 100g flour 5 eggs / 2 2.5 eggs 15g butter / 2 7.5g butter How much sugar, flour, eggs and butter do I need for 3 muffins?

Ingredients for 5 muffins… Ingredients for 6 muffins… 300g sugar x 1.2 360g sugar 200g flour x 1.2 240g flour The proportions (ratio) of the recipe stay the same. But if we increase the output, we must increase each ingredient by the same amount. 5 eggs x 1.2 6 eggs 40g butter x 1.2 48g butter How much sugar, flour, eggs and butter do I need for 6 muffins?

True SIT DOWN False STAND UP

True SIT DOWN False STAND UP I need 60g of butter to make 4 cookies. So, I need 90g of butter to make 6 cookies. False STAND UP

True SIT DOWN False STAND UP I need 600g of flour to make 7 loaves. So, I need 1.5Kg of flour to make 21 loaves. False STAND UP

True SIT DOWN False STAND UP I need 2L of water to make 1L of coke. So, I need 500ml of water to make 300ml of coke. False STAND UP

Recipe Book Tomato Soup for 4 people: 20 tomatoes 1L milk 300g flour 1 potato 100ml olive oil Spaghetti for 6 people: 400g spaghetti 2L water 3 mushrooms 20g salt 1 large onion Roast Dinner for 5 people: 15 potatoes 600g beef 5 carrots 2 Yorkshire puddings 200ml gravy Fruit Salad for 9 people: 3 bananas 360ml cream 3 oranges 450g strawberries 100ml apple juice

40 1.2Kg 400g 2L 6L 3L 60 600g 9 3L 4.5 2 60g 900g 30g 200ml 3 3 1.5 300ml 9 2 60 1080ml 240ml 2.4Kg 9 45 2 20 1350g 1.8Kg 450g 8 300ml 15 67ml 400ml 6 600ml 30 400g 12 1.2Kg 1.5L 3L 1.2L 6L 450g 4.5 375g 9 1.5 30g 1.25 60g 150ml 1.5 125ml 3 24 1 2/3 3 960g 120ml 120g 80ml 8 1 1 2/3 2.6 150g 0.4 100g 320ml 34ml 40ml 23ml

Amber Red Extension Green Tomato Soup for 8 people: _____ tomatoes _____ milk _____ flour _____ potatoes _____ olive oil Spaghetti for 18 people: _____ spaghetti _____ water _____ mushrooms _____ salt _____ large onion Tomato Soup for 12 people: _____ tomatoes _____ milk _____ flour _____ potatoes _____ olive oil Spaghetti for 9 people: _____ spaghetti _____ water _____ mushrooms _____ salt _____ large onion Roast Dinner for 20 people: _____ potatoes _____ beef _____ carrots _____ Yorkshire puddings _____ gravy Fruit Salad for 27 people: _____ bananas _____ cream _____ oranges _____ strawberries _____ apple juice Fruit Salad for 6 people: _____ bananas _____ cream _____ oranges _____ strawberries _____ apple juice Roast Dinner for 15 people: _____ potatoes _____ beef _____ carrots _____ Yorkshire puddings _____ gravy Extension Green Tomato Soup for 6 people: _____ tomatoes _____ milk _____ flour _____ potatoes _____ olive oil Spaghetti for 9 people: _____ spaghetti _____ water _____ mushrooms _____ salt _____ large onion Tomato Soup for 5 people: _____ tomatoes _____ milk _____ flour _____ potatoes _____ olive oil Spaghetti for 8 people: _____ spaghetti _____ water _____ mushrooms _____ salt _____ large onion Roast Dinner for 8 people: _____ potatoes _____ beef _____ carrots _____ Yorkshire puddings _____ gravy Fruit Salad for 3 people: _____ bananas _____ cream _____ oranges _____ strawberries _____ apple juice Roast Dinner for 1 person: _____ potatoes _____ beef _____ carrots _____ Yorkshire puddings _____ gravy Fruit Salad for 2 people: _____ bananas _____ cream _____ oranges _____ strawberries _____ apple juice

What’s wrong? What’s the answer? Josh uses 3 eggs in his recipe to make 10 cakes. To make 35 cakes he needs 10 eggs.

Ingredients for 20 cakes… Ingredients for 50 cakes… How much sugar, flour, eggs and butter do I need for 50 cakes? What is the multiple? x 2.5 400g sugar x 2.5 1Kg sugar 500g flour x 2.5 1.25Kg flour 4 eggs x 2.5 10 eggs 80g butter x 2.5 200g butter

Ingredients for 20 cakes… Ingredients for 25 cakes… How much sugar, flour, eggs and butter do I need for 25 cakes? What is the multiple? x 1.25 400g sugar x 1.25 500g sugar 500g flour x 1.25 625g flour 4 eggs x 1.25 5 eggs 80g butter x 1.25 100g butter

Ingredients for 20 cakes… Cakes ∝ Ingredients The amount of cakes is directly proportional to the ingredients needed. If one increases the other must increase. If one decreases the other must decrease. How much sugar, flour, eggs and butter do I need for 25 cakes? What is the multiple? x 1.25 400g sugar x 1.25 500g sugar 500g flour x 1.25 625g flour 4 eggs x 1.25 5 eggs 80g butter x 1.25 100g butter

A is proportional to B a ∝ b

A man can dig a hole in 3 hours. How long does it take for two men to dig a hole? This is inversely proportional.