9 hours

Year 9 Core

Autumn Term

Unit 2

FDPRP; Number operations; Mental methods;
Checking results

NNS 66 –103, 110–111

Autumn Term

Spring Term

Summer Term

Support (from Y8 teaching programme) • Reduce a ratio to its simplest form, including a ratio expressed in different units; divide a quantity into two or more parts in a given ratio; use the unitary method to solve simple word problems involving ratio and direct proportion. • Add and subtract fractions by writing them with a common denominator; calculate fractions of quantities (fraction answers); multiply and divide an integer by a fraction. • Round positive numbers to any given power of 10 and decimals to the nearest whole number, 1 or 2 decimal places
Core (from Y9 teaching programme) • Use known facts to derive unknown facts • Extend mental methods of calculation, working with decimals, fractions, percentages, factors, powers and roots; solve word problems mentally • Recognise when fractions or percentages are needed to compare proportions; solve problems involving percentage changes. • Understand the order of precedence and effect of powers • Use the laws of arithmetic and inverse operations • Use efficient methods to add, subtract, multiply and divide fractions , interpreting division as a multiplicative inverse; cancel common factors before multiplying or dividing. • Use proportional reasoning to solve a problem, choosing the correct numbers to take as 100%, or as a whole ; compare two ratios; interpret and use ratio in a range of contexts, including solving word problems. • Understand the effects of multiplying and dividing by numbers between 0 and 1 • Make and justify estimates and approximations of calculations • Check results using appropriate methods
Extension (from Y9 objectives for able pupils) • Understand & use proportionality & calculate the result of any proportional change using only multiplicative methods; understand the implications of enlargement for area & volume. • Recognise and use reciprocals • Estimate calculations by rounding numbers to one significant figure and multiplying or dividing mentally
Starters	Main	ICT	Scaffolding	Key Questions	Notes
KS3 ~ Y9 PR minipack: About / Higher/ lower / Calculator quick / Webs / Proportional sets KS3 (L3-L5 book) ~ Mental skills to L5 SUMMUS ~ 24 game Fractions MAP ~ Multiplying and Dividing by numbers between 0 and 1	Mymaths Ratios jackpot game Ratio - Introduction Ratio - Dividing 1 Dividing 2 Proportion Introduction Active worksheets Ratio generator Simplify a two-part ratio Simplify a two-part ratio Keymaths 9-2 Chapter 7 MAP ~ Fractal cuts ~ Spreadsheets and proportion ~ Proportion and graphs ~ Frightening Facts ~ Summing unit fractions ~ Simple compound interest problems ~ APR problems KS3 ~ Y9 PR minipack: Repeated scaling, splits ~ Loop cards L3-5 Fractions Intervention ~ Proportion or not? Data sets, resource sheets PR1-4 ~ Children's responses, resource sheets PR 5-9 ~ Ratio and proportion problems that have several stages Framework supp p5 ~ Chain wheels Handout PR2 ~ Y9 Intervention lessons 9N4.1, 2,3 ~ Y9 resource sheets Four problems making the links:	MAP ~ Battenburg KS3 ~ ITP Photographic enlargements	KS3 Y9 Resource sheets – cats, photographs, shadows L6 ~ Proportional sets CORNWALL Vocabulary and key questions related to the Framework	Note KS3 Framework supplement of examples page 79 - what if the recipes were for 12 people, 3 people, 15 people, etc. How do you know?, explain, identify key information. If I had a litre of orange juice…If I needed five litres of squash…how many people, what ingredients?	MAP - Level Ladders ~ Fractions ~ Mental calculations ~ Percentages Problem solving: problem bank from Y9 PR pack