<p>Y9 Autumn term: first half NUMBER WORK</p><p>Mental methods (some objectives for mental starters) Possible oral and mental starter activities (5 minutes): Positive integer complements of 100 Make 10, 100, 1000, 50, 20 …</p><p>Multiplication facts up to 10x10 and related division facts Mutiplication tables using counting stick activities.</p><p>Recall fraction to decimal conversions Use fraction/decimal flashcards to question students. Timed tests Use known facts to derive unknown facts Example on OHP for discussion/questioning.</p><p>Factors, powers and roots Factor racing, quickfire questioning, work out 35, 24, 66 …</p><p>Decimals, fractions and percentages 10% of …, 15% of … , etc. use flashcards for conversion </p><p>Make and justify estimates and approximations Example on OHP for discussion/questioning.</p><p>Objectives: pupils will be taught to Weeks Pages Topic Set 1 (mainly levels 6 to 8) Set 2+ (mainly levels 5 to 6) Set 3+ (mainly levels 4 to 5+) Set 4 / 5+ (mainly levels 3 to 5) 1 Place value, ordering Order decimals Compare and order decimals in and rounding context</p><p>Multiply and divide any integer by any power of Multiply and divide integers and Multiply and divide by powers of 10 10 decimals by 0.1, 0.01</p><p>Begin to write numbers in standard index form</p><p>Round numbers to 3dp's and a given number Round to any given power of 10 Round decimals to 0, 1, or 2 decimal Round to nearest 10,100, or 1000 of sig. figs. places 2 Integers, powers and Add, subtract, multiply and divide Understand negative numbers on a no. roots integers line Recognise and use multiples, factors Order, add and subtract -ve no.s in and common factors context LCM and HCF Use the prime decomposition of a number Find the prime factor decomposition of Recognise and use prime numbers Recognise and use prime numbers < a number 100</p><p>Use ICT to estimate square roots and cube Use squares and square roots (-ve Use squares and square roots Recognise triangular and square roots and +ve) numbers Use index notation for integer powers Use cubes and cube roots Use cubes and cube roots Use simple instances of the index laws Use index notation for small positive integer powers 2 Fractions, decimals and Use fraction notation to describe parts percentages of shapes</p><p>Know that a recurring decimal is an exact Know that a recurring decimal is a Use division to convert a fraction to a Convert terminating decimals to fraction and use methods to convert a fraction decimal fractions recurring decimal to a fraction Order fractions using common Use a diagram to compare simple denominators or decimals fractions Simplify fractions</p><p>Express a number as a percentage of Express a smaller number as a fraction another of another</p><p>Add, subtract, multiply and divide fractions Cancel common factors before x or ÷ Add and subtract fractions Begin to add and subtract simple fractions fractions</p><p>Multiply and divide an integer by a Multiply a fraction by an integer fraction</p><p>Use fractions or percentages to compare Calculate fractions of quantities Calculate simple fractions of quantities proportions Use proportional reasoning to solve a problem Use equivalence of fractions, decimals and percentages</p><p>Solve problems involving percentage changes Calculate percentages Calculate the result of a proportional change Use percentages to compare simple using only x proportions 1 Ratio and proportion Interpret and use ratio in a range of contexts Divide a quantity by a given ratio Reduce a ratio to its simplest form</p><p>Solve simple problems about ratio and Solve simple problems about ratio and proportion formally proportion informally 1 Calculations Written methods Written methods Written methods Written methods</p><p>Calculator methods Calculator methods Calculator methods Calculator methods</p>