Session 5 Ratio and Proportion GCSE MATHS Compound

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Session 5 –Ratio and Proportion GCSE MATHS

Session 5 –Ratio and Proportion GCSE MATHS

Compound interest � With compound interest, the interest is added to your account and

Compound interest � With compound interest, the interest is added to your account and then earns you more interest the following year. � For the non calculator paper, calculate year by year. On the calculator paper, there is a formula you can use.

Compound interest Exercise 4. 8 - A selection of questions

Compound interest Exercise 4. 8 - A selection of questions

Ratio � Ratios compare quantities, they do not show us how many of something

Ratio � Ratios compare quantities, they do not show us how many of something there is. � Just like a percentage exam mark tells us the proportion that was correct, not the actual marks scored � Ratios can be simplified by dividing both sides of the ratio by the same number � � Exercise 7. 1 Q 1 Then 12, 13, 14

Sharing an amount into a ratio � Find the total parts by adding the

Sharing an amount into a ratio � Find the total parts by adding the ratio � Divide the amount by the total parts (to find what each part is work) � Multiply by the number of parts in each bit of the ratio � � Exercise 7. 2 Q 1, 2, 3, 4 Extension Q 16 and 17

Proportion Direct proportion – as one quantity increases, the other increases at the same

Proportion Direct proportion – as one quantity increases, the other increases at the same rate. � Examples? � Inverse proportion – as one quantity increases, the other decreases at the same rate. � Examples? � � � Exercise 7. 3 Q 1, 2, 4, 5 Extension Q 18, 19

Number Section Review � In order to prepare for the Exam, We will be

Number Section Review � In order to prepare for the Exam, We will be completing some exam questions. These are in the Section Reviews in the book, The first is on page 81 -86. � Foundation learner have the chance to start this now. � This work needs to be done on paper, not in a book so that it can be handed in. The deadline is Tuesday 9 th of December. (10 weeks away) � This is one of only four homework tasks I will ask to be handed in throughout the year. Learners who do not complete it will be removed from the course. � The second section review is on page 222 -227 and will need to be completed before Tuesday the 6 th January. We will be starting the work in this section next week.

Section Review Deadlines � Number Section Review - 9 th December � Algebra Section

Section Review Deadlines � Number Section Review - 9 th December � Algebra Section Review – 6 th January � Shape � Data Space and Measure Section Review – 14 th April Handling Section Review – 5 th May

Break � Next week we’ll be covering chapter 10. Read the ‘what you need

Break � Next week we’ll be covering chapter 10. Read the ‘what you need to know’ section before you come in. � After break, anyone hoping to do the higher paper please come back to this room to continue with proportion. � Anyone doing the foundation paper please work next door, you may want to do a few questions from review exercise 7 before starting on the Section Review

Higher Only - Proportion Chapter 18 � Begin with graph y = x and

Higher Only - Proportion Chapter 18 � Begin with graph y = x and create table of values (when y is directly proportional to x) � Compare to example on page 164 � Constant of proportionality