Expressions and Equations

19a: Evaluate symbols in place of numbers in one-step + - x ÷ equations

20a: Evaluate letters in place of numbers

24a: Writing expressions from simple descriptions like 4 more than n

25a: Simplify expressions by applying standard algebraic notation

27a: Substitute positive whole numbers into simple expressions or formulae and evaluate

29a: Simplify expressions by collecting terms

30a: Writing and interpreting algebraic expressions from a written description

32a: Solve equations formally by using 1/2 inverse operations

33a: Simplify expressions by multiplying terms

34a: Using BIDMAS to evaluate numerical expressions (without powers and roots)

35a: Using BIDMAS to evaluate numerical expressions including powers and roots. Inserting brackets into a calculation

37a: Substitute positive and negative, whole or decimal values into expressions or formulae and evaluate

40a: Expand single brackets

42a: Solve equations with brackets

43a: Listing integers that satisfy inequalities and representing inequalities on a number line

47a: Using the three index laws to simplify expressions

48a: Solve equations with x on both sides and solving inequalities by algebraic manipulation

51a: Expand and simplify expressions with multiple single brackets

52a: Expand and simplify pairs of brackets

53a: Factorising into single brackets

54a: Forming and solving equations arising from shape, measure or word problems

56a: Factorising quadratic expressions (unitary coefficient of x²)

57a: Selecting the correct factorisation for a quadratic expression, 1 bracket, 2 brackets or difference of two squares

58a: Know the difference between an equation and an identity and show algebraic expressions are equivalent

60a: Solve difficult linear equations with brackets and fractions

63a: Solving quadratic equations by factorising (unitary coefficient of x²)

64a: Solving linear simultaneous equations by elimination

65a: Derive and solve simultaneous equations from word problems

76a: Solve quadratic equations that require rearranging first or arise from geometry problems

80a: Factorise quadratic expressions with a non unitary coefficient of x²

81a: Simplifying algebraic fractions by factorising then cancelling

83a: Simplifying algebraic fractions by adding or subtracting

84a: Expanding and simplifying three or more brackets

93a: Solve algebraic fraction equations which lead to quadratic equations

94a: Solve non-linear simultaneous equations

96a: Find approximate solutions to equations using an iterative formula

99a: Form an iterative scheme for a given equation and understand that it may converge or diverge