November 25, T Ratio and Proportion.notebook. Today we are going to learn how to simplify ratios. Kate's box of magic tricks!

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1 2T and.notebook Daily Practice Q1. 12/3 1/5 Q2. Calculate the volume of a cuboid with length 8cm, breadth 4cm and height 2cm Q3. Solve 4 + 3y = y Q4. Find 4/5 of 251 If finished fill in this magic square such that every row, column & diagonal add to the same amount Today we are going to learn how to simplify ratios. Q5. Write out the 3 times tables up to 3 x 12 Nov Nov Farmer Brown has chickens, goats and pigs in his farmyard He wants to separate them and put them in different pens. s are used to compare different amounts that are related to each other. The ratios For example The ratio of girls to boys in this class is Chickens Goats Pigs chickens goats = goats chickens = goats pigs = pigs chickens = Nov Kate's box of magic tricks! Nov Simplifying ratios If there are 6 dogs for every 3 people, how many dogs are there for every one person? What is the ratio of Rabbits Hats Hats Wands Wands Cloaks Rabbits cloaks Nov Nov

2 2T and.notebook Simplifying ratios If there are 6 dogs for every 3 people, how many dogs are there for every one person? If there are 12 cakes for every 4 people, how many cakes are there for every one person? Nov Nov If there are 10 houses for every 15 people, how many houses are there for every 3 people? Simplifying s Simplifying ratios works the same way as simplifying fractions. Divide by the highest common factor. Examples Simplify (a) 1421 (b) 3542 Nov Nov (d) Nov Simplify these ratios 5 10 (c) Daily Practice Q1. Simplify the ratio Q Q3. State the nth term formula Position for this table Term Q4. Factorise 15ab 25b2 Q5. Write out the 4 times tables up to 4 x Nov

3 2T and.notebook Unitary A unitary ratio is one in which one of the numbers is 1. Make these such that they have a unitary ratio 1/ 3 2 calculations (Equivalent s) Equivalent ratios (e.g. 32 is the same as 3020) can be used to solve problems Examples 1. In a recipe the ratio of butter to sugar is 2 1 If the chef uses 50 grams of butter, how much sugar should they use? 2. If the ratio of girls to boys in S2 is 32 and there are 90 girls, how many boys are there? Nov Nov Daily Practice Q1. Round 7126 to the nearest 1000 Q ( 4) Q3. Solve 5x 1 = 2x + 14 Today we will be learning how to share a quantity in a given ratio. Q Q5. Calculate the height of the cuboid shown if the volume is 320cm 3 8 cm x cm 2 cm Nov Nov Sharing in a ratio Examples 1. Share 30 in the ratio 32 Jerry and Sarah gathered 150 apples, they share the apples in the same ratio that they did the work. Jerry worked for one hour and Sarah worked for 5. How many apples does each get? 2. Share 36 marbles in the ratio 345 Nov Nov

4 2T and.notebook daily practice Q1. Calculate the volume of a cube with sides of length 7cm Q2. Simplify the ratio 2436 Q3. Solve 7g + 2 = 20 + g Today we are going to learn about proportion Homework Online Due Q4. State the value of 3g 2 when g = 4 Q5. Write out the 7 times table up to 7 x 12 Nov Nov is used to compare part of a quantity to the whole quantity. can be expressed as a fraction, percentage or ratio. For example In a class of 8 boys and 12 girls, what proportion are girls? 8 or Direct proportion means that when two quantities are in proportion, as one increases the other increases in the same ratio. For example The cost of a meal increases as the number of people increases. People Question example The cost of a bar of chocolate is 59p. Calculate the cost of 5 chocolate bars? Cost Nov Nov Unitary proportion means finding the cost/size of one first. Examples 1. If 8 bowls cost 20. Calculate how much it would cost for 5 2. If 5 cinema tickets cost 42. How much would it cost for 7 tickets? Questions 1. If 7 DVDs cost 56.70, calculate the cost of 3 2. If apples individually cost 53p each. Which is cheaper? Buying 7 apples individually or a bag of 7 for 3.50? 3. If the cost of a meal for 5 people is 125. How much would it cost for a meal for 8 people? 4. If a wheel turns 300 times in 4 minutes, how many times would it turn in 5 minutes? 5. If the cost of a school trip for 80 students is How much would it cost for 100 students? 6. Which is cheaper per can? 6 cans of juice for 2.94 or 18 for A box factory produces boxes in 8 hours, how much will it produce in 12 hours? 8. If 1 = 1.20, how much would 8 be in Euros? 9. If 1 = 0.80, how much would 60 be in pounds? 10. If it takes 5 men 3 hours to build a wall, how long will it take 10 men to build the same wall? (Inverse proportion) 20 divided by 8 = x if 5 cinema tickets cost cost of seven 8.40 x 7 = Nov Nov

5 2T and.notebook Q1. Calculate the value of 2ab b 2 if a = 3 and b = 2 Q2. Find the volume of a cube with side of length 9cm Q3. Solve 4(x 1) = 24 Today we are going to learn about inverse proportion. Q4. Share 160 in the ratio 35 Q5. If a 4 pack of tinned tomatoes is 2.80 and single tins are 75p each, which is cheaper? Nov Nov Inverse Inverse propotion means as one quantity increases, the other decreaes in the same ratio. For example The number of hours worked decreases if the amount of workers increases. Examples 1. If it takes 5 people to lay a pipeline in 5 days, how long would it take one person to lay a pipeline? Daily Practice Q1. Find 7% of 890 Q2. Solve 6y 3 = y 28 Q3. Multiply out 7(2y 1) + 4y Q4. Simplify the ratio 1 / 4 3 Q5. Share 30 in the ratio 51 Nov Nov Today we are going to complete an assessment on ratio. Nov

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