GCSE Foundation

NUMBER:

Round numbers to a given power of 10
Order integers
Use the vocab: factor; multiple; common factor

Use the terms Square; Cube; Positive Square root;
Use index notation for squares; cubes and powers of 10

Understand Equivalent fractions
Simplify a fraction by cancelling common factors
Order fractions by writing with a common denominator

Recognise a terminating decimal as a fraction
Order decimals
Understand that % means ‘number of parts per 100’; use this to compare proportions
Use % in real life situations
Simplify ratios
Recognise ratios as links to fractions

Add, subtract, multiply and divide integers and then any number
Multiply/Divide any number by powers of 10
Multiply/Divide any positive number by a number between 0 and 1

Calculate a fraction of a quantity, expressing the answer as a fraction
Express a given number as a fraction of another
Add and subtract fractions by writing them with a common denominator
Understand and use unit fractions as multiplicative inverses
Multiply and divide fractions by an integer and multiply fractions by a unit fraction
Perform short division to change a simple fraction to a decimal
Change simple fractions to a % and vice versa
Divide a quantity by a given ratio

Recall all positive integer complements to 100
Recall all multiplication facts to 10 x 10, use them to derive corresponding division facts
Recall cubes of 2, 3, 4, 5 and 10

Round to the nearest integer and to one significant figure
Estimate answers to problems involving decimals

Add; subtract; multiply and divide integers and decimals mentally
Use standard column procedures for addition, subtraction, multiplication of integers and decimals

Solve simple % problems including increase and decrease and reverse % problems
Solve word problems about ratio and proportion

Use calculators effectively: know how to enter complex calculations and use function keys for reciprocals, squares and powers
Understand the calculator display and knowing not to round during intermediate steps of a calculation