GCSE Higher

NUMBER

Round numbers to a given power of 10
Use the vocab: factor; multiple; common factor; highest common factor; least common multiple; prime number
Prime Factor Decomposition

Square; Cube; Positive Square root; cube root; Negative square root
Rules of Indices for Multiplying and Dividing Integer powers
Use Standard Index form

Recognise recurring decimals are exact fractions
Recognise that some exact fractions are recurring decimals

Multiply/Divide any number by powers of 10
Multiply/Divide any positive number by a number between 0 and 1
Understand reciprocal as a multiplicative inverse and that any number multiplied by its reciprocal =1
Multiply and Divide by a negative number
Use Index laws to simplify and calculate the value of an expression including fractional and negative powers
Use inverse operations, understanding that the inverse operation of raising a positive number to power n is raising the result of this operation to power 1/n

Add and subtract fractions
Multiply and divide fractions by an integer
Multiply and divide fractions by a unit fraction and general fraction
Distinguish between terminating and recurring fractions
Understand the multiplicative nature of % as operators
Calculate an original amount after a % change and reverse % problems

Recall squares from 2 to 15 and corresponding square roots
Recall cubes of 2, 3, 4, 5 and 10
Recall the facts for negative; zero and fractional powers

Round to a given number of significant figures
Convert between ordinary and standard index form

Add; subtract; multiply and divide integers and decimals mentally

Solve % problems including increase and decrease and reverse % problems
Represent repeated proportional change using a multiplier raised to a power.
Calculate an unknown quantity from quantities that vary in direct proportion or inverse proportion
Calculate with standard index form, with and without a calculator

Use surds and ‘pi’ in exact calculations, without a calculator
Rationalise a denominator
Use calculators effectively and efficiently
Use calculators to explore growth and decay