Manipulate expressions containing surds and rationalise denominators (A*) Able to simplify surds (A)
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1 Moving from A to A* Manipulate expressions containing surds and rationalise denominators (A*) Solve using surds (A*) A* Solve direct and inverse variation three variables (A*) A* Find formulae describing direct or inverse variation and use them to solve (A) Solve complex decreases (A) Able to simplify surds (A) A Know how to use the rules of indices for negative and fractional powers (A) Convert recurring decimals to fractions (A) Find measures of accuracy for numbers given to decimal places or significant figure accuracies (A) the limits of compound measures (A*)
2 Moving from B to A Find formulae describing direct or inverse variation and use them to solve (A) Solve density (B) some decimal numbers (B) Able to simplify surds (A) Estimate answers the decimals (B) Convert recurring decimals to fractions (A) A A Able to do reverse (B) B Write and calculate with numbers in Standard index form (B) Find limits of accuracy for numbers given to whole number accuracy (B) Solve complex decreases (A) Based on info in GCSE Maths 2 tier Higher - Collins Know how to use the rules of indices for negative and fractional powers (A) Find measures of accuracy for numbers given to decimal places or significant figure accuracies (A)
3 Moving from C to B Solve density (B) B with mixed numbers Work out compound interest Able to do reverse (B) Based on info in GCSE Maths 2 tier Higher - Collins Write a number as a product of its prime factors Solve using ratio in appropriate situations C LCM and HCF of pairs of numbers Multiply & divide numbers written in index form some decimal numbers (B) Estimate the values of calculations positive numbers < 1 Use a calculator efficiently and give answers to an appropriate degree of accuracy Write and calculate with numbers in Standard index form (B) Estimate answers the decimals (B) B Find limits of accuracy for numbers given to whole number accuracy (B)
4 Moving from D to C C Able to calculate with mixed numbers Multiply & divide with negative numbers (D) Work out compound interest Based on info in GCSE Maths 2 tier Higher - Collins Write a number as a product of its prime factors Recognise and work out factors, multiples & primes (D) Add, subtract, multiply & divide fractions (D) decreases (D) averages speeds from data (D) time from distance and speed (D) LCM and HCF of pairs of numbers Estimate the values of calculations positive numbers > 1 (D) D Estimate the values of calculations positive numbers < 1 Round numbers to a given number of significant figures (D) distance from speed and time (D) Compare prices of products to find the best buy (D) Write and calculate with numbers written in index form (D) Solve using ratio in appropriate situations Use a calculator efficiently and give answers to an appropriate degree of accuracy C Multiply & divide numbers written in index form
5 Moving from E to D Recognise and work out factors, multiples & primes (D) Estimate the values of calculations positive numbers > 1 (D) Round numbers to a given number of significant figures (D) Add, subtract, multiply & divide fractions (D) Multiply a fraction by a fraction (E) Write and calculate with numbers written in index form (D) D E D Add and subtract mixed Recognise two digit prime Evaluate calculations decimal simple powers of whole Solve simple negative Change decimals to fractions (E) Simplify a ratio (E) Multiply & divide with negative numbers (D) Find any s of a quantity (E) Change fractions to decimals (E) Compare prices of products to find the best buy (D) decreases (D) Based on info in GCSE Maths 2 tier Foundation - Collins averages speeds from data (D) time from distance and speed (D) distance from speed and time (D)
6 Moving from F to E Recognise two digit prime Evaluate calculations decimal E Add and subtract mixed Multiply a fraction by a fraction (E) E Solve simple negative Change mixed numbers into top heavy fractions (F) Solve fraction expressed in words (F) Find any s of a quantity (E) Based on info in GCSE Maths 2 tier Foundation - Collins Add more difficult fractions (F) Compare two fractions of quantities (F) Subtract positive & negative numbers from positive & Add positive & negative numbers to positive & F Answer multiplication or division by a single-digit Multiply a 3 digit number without using a calculator (F) Divide a 3 or 4 digit Find simple s of a quantity (F) Simplify a ratio (E) Solve real multiplication and division (F) Round decimal numbers to a specific number of places (F) Write down the square of any number up to 15 x 15 = 225 (F) Write down the cubes of 1, 2, 3, 4, 5 and 10 (F) Know how to find the square root of any number using a calculator (F) Change decimals to fractions (E) simple powers of whole Change fractions to decimals (E)
7 Moving from G to F F Add more difficult fractions (F) Change mixed numbers into top heavy fractions (F) Solve fraction expressed in words (F) Compare two fractions of quantities (F) Change top heavy fractions into mixed numbers (G) Find a fraction of an integer (G) Subtract positive & negative numbers from positive & Based on info in GCSE Maths 2 tier Foundation - Collins Add & subtract simple fractions (G) Put simple fractions in order of size (G) Use negative numbers with inequalities (G) Divide a 3 or 4 digit Cancel a fraction (when possible) (G) Multiply numbers by a single digit number (G) Add columns & rows in grids (G) Know how to recognise equivalent fractions (G) Use negative numbers in context (G) Add positive & negative numbers to positive & Multiply a 3 digit number without using a calculator (F) Know the times tables up to 10 x 10 (G) Add & subtract numbers with up to 4 digits (G) State the fraction of a shape shaded (G) Shade in a fraction of a shape (G) Find equivalent fractions, decimals & s (G) Find simple s of a quantity (F) G Identify the value of digits in different places (G) Round to the nearest 10 and 100 (G) Solve real multiplication and division (F) Use BODMAS to find the correct order of operations (G) Round decimal numbers to a specific number of places (F) Recognise multiples of the first ten whole numbers (G) Find factors of numbers less than 100 (G) Recognise the square numbers up to 100 (G) Answer multiplication or division by a single-digit Know how to find the square root of any number using a calculator (F) F Write down the cubes of 1, 2, 3, 4, 5 and 10 (F) Write down the square of any number up to 15 x 15 = 225 (F)
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