UK-KS3-MATH-A — opens in a new tab
Pupils should be taught to:
use and interpret algebraic notation, including:
ab in place of a × b
3y in place of y + y + y and 3 × y
a² in place of a × a, a³ in place of a × a × a; a²b in place of a × a × b
a/b in place of a ÷ b
coefficients written as fractions rather than as decimals
brackets
substitute numerical values into formulae and expressions, including scientific formulae
understand and use the concepts and vocabulary of expressions, equations, inequalities, terms and factors
simplify and manipulate algebraic expressions to maintain equivalence by:
collecting like terms
multiplying a single term over a bracket
taking out common factors
expanding products of 2 or more binomials
understand and use standard mathematical formulae; rearrange formulae to change the subject
model situations or procedures by translating them into algebraic expressions or formulae and by using graphs
use algebraic methods to solve linear equations in 1 variable (including all forms that require rearrangement)
work with coordinates in all 4 quadrants
recognise, sketch and produce graphs of linear and quadratic functions of 1 variable with appropriate scaling, using equations in x and y and the Cartesian plane
interpret mathematical relationships both algebraically and graphically
reduce a given linear equation in 2 variables to the standard form y = mx + c; calculate and interpret gradients and intercepts of graphs of such linear equations numerically, graphically and algebraically
use linear and quadratic graphs to estimate values of y for given values of x and vice versa and to find approximate solutions of simultaneous linear equations
find approximate solutions to contextual problems from given graphs of a variety of functions, including piece-wise linear, exponential and reciprocal graphs
generate terms of a sequence from either a term-to-term or a position-to-term rule
recognise arithmetic sequences and find the nth term
recognise geometric sequences and appreciate other sequences that arise
use and interpret algebraic notation, including:
ab in place of a × b
3y in place of y + y + y and 3 × y
a² in place of a × a, a³ in place of a × a × a; a²b in place of a × a × b
a/b in place of a ÷ b
coefficients written as fractions rather than as decimals
brackets
substitute numerical values into formulae and expressions, including scientific formulae
understand and use the concepts and vocabulary of expressions, equations, inequalities, terms and factors
simplify and manipulate algebraic expressions to maintain equivalence by:
collecting like terms
multiplying a single term over a bracket
taking out common factors
expanding products of 2 or more binomials
understand and use standard mathematical formulae; rearrange formulae to change the subject
model situations or procedures by translating them into algebraic expressions or formulae and by using graphs
use algebraic methods to solve linear equations in 1 variable (including all forms that require rearrangement)
work with coordinates in all 4 quadrants
recognise, sketch and produce graphs of linear and quadratic functions of 1 variable with appropriate scaling, using equations in x and y and the Cartesian plane
interpret mathematical relationships both algebraically and graphically
reduce a given linear equation in 2 variables to the standard form y = mx + c; calculate and interpret gradients and intercepts of graphs of such linear equations numerically, graphically and algebraically
use linear and quadratic graphs to estimate values of y for given values of x and vice versa and to find approximate solutions of simultaneous linear equations
find approximate solutions to contextual problems from given graphs of a variety of functions, including piece-wise linear, exponential and reciprocal graphs
generate terms of a sequence from either a term-to-term or a position-to-term rule
recognise arithmetic sequences and find the nth term
recognise geometric sequences and appreciate other sequences that arise
12 resources
Algorithms that Sort and Test - Year 6
$4.99 opens in a new tab
Cartesian Coordinates Year 6 Unit
$4.99 opens in a new tab
Compare Rules and Generalise - Year 6
$4.99 opens in a new tab
Debug, Compare, Explain — Year 6 Maths Algorithms Unit
$4.99 opens in a new tab
Fraction and Decimal Pattern Paths - Year 6
$4.99 opens in a new tab
Generate Rational Patterns - Year 6
$4.99 opens in a new tab
Grid Maps & Coordinates Years 4–6 Maths Unit Bundle
$12.99 opens in a new tab
Order of Operations - Year 6 Maths Unit
$4.99 opens in a new tab
Order of Operations Year 6 Maths Unit
$4.99 opens in a new tab
See the Growth, Explain the Rule – Year 6 Growing Patterns Unit
$4.99 opens in a new tab
Year 6 Order of Operations Variety Pack | 2 Maths Units
$6.99 opens in a new tab
Year 6 Shape, Space & Location | 4 Maths Units Bundle
$12.99 opens in a new tabNo resources yet
