7 hours

Year 9 Extension

Spring Term

Unit 7

Place value, ordering and rounding; FDPRP; Mental written and calculator methods; Checking results

NNS 36–47, 60–81, 104–111,

Autumn Term

Spring Term

Summer Term

Support (from Y9 teaching programme) • 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. • Extend knowledge of integer powers of 10; multiply and divide by any integer power of 10. • Use a calculator efficiently and appropriately to perform complex calculations with numbers of any size, knowing not to round during intermediate steps of a calculation; use the constant, p and sign change keys, function keys for powers, roots and fractions, brackets and the memory. • Enter numbers into a calculator and interpret the display in context (negative numbers, fractions, decimals, percentages, money, metric measures, time)
Core (from Y9 objectives for able pupils) • Use rounding to make estimates; round numbers to the nearest whole number or to three decimal places • Round to a given number of significant figures; understand upper and lower bounds. • Estimate calculations by rounding numbers to one significant figure and multiplying or dividing mentally • Understand and use proportionality and calculate the result of any proportional change using multiplicative methods ; understand the implications of enlargement for area & volume • Begin to write numbers in standard form • Enter numbers and interpret the display in context (numbers in standard form) • Check results using appropriate methods • Use the reciprocal key

Starters	Main	ICT	Scaffolding	Key Questions	Notes
ATM 40 Problems ~ p15 Grazing MAP ~ Standard form picture gallery ~ Teaching mental maths from L5 - Place value cards MEDIAN Mental Number Work ~ l) Approximating (upper and lower bounds); Estimating answers ~ Counting ~ Snakes KS3 ~ Y9 PR minipack: About / Higher/ lower / Calculator quick KS3 TMM from L5 Number - place value and FDPRP ~ Ordering cards, with Standard form SUMMUS ~ 24 game and 24 -game Fractions	KS3 ~ Y9 resource sheets: Four problems making the links: L6/7 MAP ~ Standard Form MEDIAN ~ Tins L6/7 WORCS ~ What was the fraction? L7/8 SMILE ~ Decimals in a row, L7 MEDIAN ~ Missing signs, L6 ~ A, B, C, L6 MEDIAN Addition 1 ~ Magic Pentagram SHELL ~ Carbon dating	ATM Developing Number ~ Powers of ten BOTM ~ Y9 Fractions ~ Y9 Proportion ~ Y9 Approximations	~ Place value chart (Gattegno charts) ~ KS3 Y9 Resource sheets – cats, photographs, shadows L6 ~ Proportional sets KS3 TMM from L5 Number ~ Decimal arrays for multiplication and division ~ Sorting grids (e.g. no dec.places by no sig figs)	Which fractions recur? Is there a connection between the denominator and the numbers of digits in the recurring sequences? Are these numbers in standard form? 0.97 x 10 7 ; 1.000001 x 10 -4 ; 10.01 x 10 2 ; What happens when you raise a number to a negative power? What happens when you raise a number to a fractional power? Why do we need to use standard form? (See astronumbers ) How can we order fractions using coordinates?	MAP – Level Ladders ~ Place value & rounding ~ Fractions ~ Mental calculations ~ Written calculations Extended task: SHELL Carbon dating