6 hours

Year 9 Support

Summer Term

Unit 17

Fractions, decimals, percentages, ratio and proportion; Number operations; Mental methods

NNS P60 - 77, P82 - 85
P88 - 101

Autumn Term

Spring Term

Summer Term

Support (from Y7 teaching programme) • Add and subtract fractions with common denominators; calculate fractions of quantities (whole-number answers); multiply a fraction by an integer. • Understand percentage as the ‘number of parts per 100'; calculate simple percentages. • Consolidate the rapid recall of number facts, including positive integer complements to 100 and multiplication facts to 10 ´ 10, and quickly derive associated division facts
Core (from Y8 teaching programme) • Understand addition and subtraction of fractions; use the laws of arithmetic and inverse operations. • Make and justify estimates and approximations of calculations • Know that a recurring decimal is a fraction; use division to convert a fraction to a decimal; order fractions by writing them with a common denominator or by converting them to decimals. • Add and subtract fractions by writing them with a common denominator; calculate fractions of quantities; multiply and divide an integer by a fraction. • Interpret percentage as the operator ‘so many hundredths of' and express one given number as a percentage of another; use the equivalence of fractions, decimals and percentages to compare proportions; calculate percentages and find the outcome of a given percentage increase or decrease . • Recall known facts, including fraction to decimal conversions; use known facts to derive unknown facts, including products involving numbers such as 0.7 and 6, and 0.03 and 8. • Consolidate & extend mental methods of calculation, working with decimals, fractions & percentages, squares & square roots, cubes & cube roots; solve word problems mentally.
Extension (from Y9 teaching programme) • Use efficient methods to add, subtract, multiply and divide fractions, interpreting division as a multiplicative inverse; cancel common factors before multiplying or dividing. • Solve problems involving percentage changes • Use known facts to derive unknown facts
Starters	Main	ICT	Scaffolding	Key Questions	Notes
KS3 Y8 MR Minipack ~ Interacting series OHT starters – proportional sets; scale factors MAP ~ Which Fraction Charts ~ Cuisenaire ratio and proportion ~ If we could shrink the world SUMMUS ~ 24 game Fractions	KS3 ~ Mental skills to L5 (L3-L5 book) ~ Misconceptions pack A L4-5 ~ Loop cards Fractions L3-5 pack ~ Y8 Intervention lessons 5.1 and 5.2 L4/5 MAP ~ Fractions poem MEDIAN ~ Sharing (2) L5 ~ Sharing (1) L5/6 SMILE ~ Fraction squares L6 ~ Ordering fractions Level 5/6 ~ Percentage puzzle L6 ~ Estimating percentages L6 ~ Car Trial results L6 10 Ticks ~ L6P3 pp15-16	BOTM ~ Y8 Fractions, Decimals & Percentages ~ Y8 Ratio HORN, Cornwall ~ Paper proportionality SMILE ~ Ratio L4-6 SMILE Spreadsheets make sense ~ Dividing investigation ~ 142857 Multiplication table MAP ~ Design a spreadsheet that someone could use to transfer cost price to selling price, using 30% mark-up. How could they use this to find the cost price from the selling price?	MAP ~ Fractions images ~ Proportional sets 1 and Proportional sets 2 ~ Chains of reasoning	If you know that 1/5 = 0.2, what else can you deduce? If you know that 1/8 = 0.125, what else can you deduce? Find a unit fraction that is the sum of two other unit fractions. How many can you find Find a fraction that is between ½, and ¾. How did you find this? Camel problem - 3 sons to have 1/2, 1/3 and 1/9 of dad's 17 camels. Bloke offers 1 camel, splits them and bloke gets camel back. How? (nice plenary!) Extend sequences of + and - fractions from Y7 – e.g. 1/2 +1/3 + 1/6 = 1. Can you predict the result of 1/4 + 1/6 + 1/12? Further predictions?	MAP – Level Ladders ~ Fractions ~ Percentages The Number File contains the 60 solutions less than 1000 of recurring decimals where the number of recurring digits of a prime p is (p-1).