### Year 8 maths - New Curriculum, 2015

This is what children aged 11 to 12 in year 8, should know for Maths, key stage 3.

Strand Ref Know how to
NUMBER 8N1

Use the concepts and vocabulary of prime numbers, factors (or divisors), multiples, common factors, common multiples, highest common factor (HCF), lowest common multiple (LCM), prime factorisation, including using product notation and the unique factorisation property

8N2

Use the four operations, including formal written methods, applied to integers, decimals, proper and improper fractions, and mixed numbers, all both positive and negative

8N3

Define percentage as 'number of parts per hundred',

Interpret percentages and percentage changes as a fraction or a decimal,

Interpret these multiplicatively, express one quantity as a percentage of another, compare two quantities using percentages, and work with percentages greater than 100%

8N4

Interpret fractions and percentages as operators

8N5

Use approximation through rounding to estimate answers and calculate possible resulting errors expressed using inequality notation a < x ≤ b

ALGEBRA 8A1

Simplify and manipulate algebraic expressions to maintain equivalence by taking out common factors (Factorisation)

8A2

Use algebraic methods to solve linear equations in one variable (including all forms that require rearrangement)

8A3

Recognise, sketch and produce graphs of linear and quadratic functions of one variable with appropriate scaling, using equations in x and y and the Cartesian plane

8A4

Reduce 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

8A5

Recognise arithmetic sequences and find the nth term

8A6

Interpret mathematical relationships both algebraically and graphically

Strand Ref Know how to
Ratio, proportion and rates of change 8R1

Use scale factors, scale diagrams and maps

8R2

Divide a given quantity into two parts in a given part:part or part:whole ratio; express the division of a quantity into two parts as a ratio

Geometry and measures 8G1

Derive and apply formulae to calculate and solve problems for volume of prisms (including cylinders)

8G2

Calculate and solve problems involving: perimeters of 2-D shapes (including circles), areas of circles and composite shapes

8G3

Derive and use the standard ruler and compass constructions (perpendicular bisector of a line segment, constructing a perpendicular to a given line from/at a given point, bisecting a given angle); recognise and use the perpendicular distance from a point to a line as the shortest distance to the line

8G4

Describe, sketch and draw using conventional terms and notations: regular polygons, and other polygons that are reflectively and rotationally symmetric

8G5

Identify properties of, and describe the results of, translations, rotations and reflections applied to given figures

8G6

Construct similar shapes by enlargement, with and without coordinate grids

8G7

Understand and use the relationship between parallel lines and alternate and corresponding angles

8G8

Interpret mathematical relationships both algebraically and geometrically.

PROBABILITY 8P1

Enumerate sets and unions/ intersections of sets systematically, using tables, grids and Venn diagrams

STATISTICS 8S1

Describe, interpret and compare observed distributions of a single variable through: appropriate graphical representation involving discrete, continuous and grouped data; and appropriate measures of central tendency (mean, mode, median) and spread (range, consideration of outliers)

8S2

Describe simple mathematical relationships between two variables (bivariate data) in observational and experimental contexts and illustrate using scatter graphs