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Nội dung text Y4 Maths 4013c - 2024 Week 15 Notes.pdf

1 Mathematics Year 4 Practice 4013c
2 The focus of Practice 13 is on Proportion and Ratio 1 &2, Doubling and Halving 1&2 Problems Solving and Time Yourself Test The concept of scale factor is closely linked to ratio, proportion and percentages, where various amounts must be multiplied or divided by the same number to increase or decrease a quantity. When solving this question, we can see that we need to use multiples of 7. Question 2 A ratio show us how much of one thing there is compared to another thing. Here is an example: below are 7 children. The ratio is 3 girls: 4 boys. If there were 14 children in total, there would be 6 girls and 8 boys. Ratio: 3 girls to 4 boys (3:4) Proportion: Girls 3 in 7 Boys 4 in 7
3 When solving Question 2, look at the pattern on the square tile. Altogether there are 9 small squares on the tile. 5 squares are black and four squares are white. With this information, complete each clozed sentence for example: One tile has 5 black squares and 4 white squares. Therefore, 2 tiles would have 10 black squares and 8 white squares. Question 3 This question is related to proportion and ratio. The turkey is cooked 40 minutes per 1 kg. If the turkey weighed 5kg, how many minutes must it be cooked? (multiply 40 minutes by 5). Once we have solved this question, we can then double the amount to solve question 3a). If Bruce puts 3 teaspoons of sugar to 1 cup of coffee. The ratio for this would be 3:1. So if he had 2 cups of coffee he would put 6 teaspoons of sugar. Now that we know the ratio, how many cups of coffee can Bruce make with 24 spoons of sugar
4 Page 3 Proportion and Ratio 2 Question 1 a How much of each ingredient would we need to make 6 cakes? As we have the recipe for 12 small cakes, when solving this question, we need to halve the recipe. 1b Now we are making 48 small cakes, we need to multiply each of our ingredients by 4. This question can be solved by using ratio. Our ratio for this question would be 3:1 Therefore, if we have 15 red sweets, (3x5=15) then we would have 5 blue sweets, (1x5=5). What strategy can we use to solve this question? Let’s organise our information. At a fair you get 2 free tickets for every 5 tickets you buy. Our ratio would be 2:5 If we bought 10 tickets we would get 4 for free. If we bought 15 tickets we would get 6 for free. How many free tickets would we get if we bought 40 tickets

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