9 hours Year 9 Extension Spring Term Unit 3 FDPRP; Number operations; Mental methods; Checking results

NNS 60 –103, 110–111

Autumn Term

Spring Term

Summer Term

Support (from Y9 teaching programme)
• Understand the effects of multiplying and dividing by numbers between 0 and 1; use the laws of arithmetic and inverse operations
• Make and justify estimates and approximations of calculations
• Use efficient methods to add, subtract, multiply and divide fractions , interpreting division as a multiplicative inverse; cancel common factors before multiplying or dividing.

• Know that a recurring decimal is an exact fraction

Core (from Y9 objectives for able pupils)
• Use proportional reasoning to solve a problem, choosing the correct numbers to take as 100%, or as a whole (Y9 KO); compare two ratios; interpret and use ratio in a range of contexts, including solving word problems.
• Use algebraic methods to convert a recurring decimal to a fraction in simple cases
• Recognise and use reciprocals
• Estimate calculations by rounding numbers to one significant figure and multiplying or dividing mentally

• Check results using appropriate methods

 

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

 

Mymaths

Place value booster lessons

Estimating Introduction

Estimating Calculations

Introduction to proportion

Unitary Method

Recurring Decimals 1

Reciprocals

Active worksheets

Various activities

Keymaths

9-3 Chapter

MAP

~ Frightening Facts – ratio problems
~ Of Mice and Mann - compound interest problems

~ Estimating – significant figures

~ Proportion and graphs

~ Identifying proportion – numerically and graphically


KS3
~ Y9 PR minipack: Repeated scaling, splits
~ Loop cards L3-5 Fractions Intervention
~ Proportion or not? Data sets, resource sheets PR1-4 L6/7
~ Children's responses, resource sheets PR 5-9 L6
~ Ratio and proportion problems that have several stages Framework supp p5
~ Chain wheels Handout PR2 L5/6
~ Y9 Intervention lessons 9N4.1, 2,3 L5

 

KS3
~ ITP Photographic enlargements

~ KS3 Y9 Resource sheets – cats, photographs, shadows L6
~ Proportional sets
~ Area model
~ Matching cards: areas / calculations

 

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