### Year 9 maths - New Curriculum, 2015

This is what children aged 12 to 13 in year 9, should know for Maths, key stage 3.

Strand Ref Know how to
NUMBER 9N1

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

9N2

Interpret and compare numbers in standard form A × 10n  1 ≤ A < 10, where n is a positive or negative integer or zero

9N3

Appreciate the infinite nature of the sets of integers, real and rational numbers

ALGEBRA 9A1

Use and interpret algebraic notation, including: coefficients written as fractions rather than as decimals

9A2

Simplify and manipulate algebraic expressions to maintain equivalence by expanding products of two or more binomials

9A3

Understand and use standard mathematical formulae;
rearrange formulae to change the subject

9A4

Model situations or procedures by translating them into algebraic expressions or formulae and by using graphs

9A5

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

9A6

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

9A7

Interpret mathematical relationships both algebraically and graphically

9A8

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

9A9

Find approximate solutions to contextual problems from given graphs of a variety of functions, including piece-wise linear, exponential and reciprocal graphs

9A10

Recognise geometric sequences and appreciate other sequences that arise.

Strand Ref Know how to
Ratio, proportion and rates of change 9R1

Understand that a multiplicative relationship between two quantities can be expressed as a ratio or a fraction
½ × 3 =

9R2

Relate the language of ratios and the associated calculations to the arithmetic of fractions and to linear functions

9R3

Solve problems involving percentage change, including: percentage increase, decrease and original value problems and simple interest in financial mathematics

9R4

Solve problems involving direct ( ∝) and inverse proportion (1/∝) including graphical and algebraic representations

9R5

Use compound units such as speed, unit pricing and density to solve problems.

Geometry and measures 9G1

Derive and use the sum of angles in a triangle and use it to deduce the angle sum in any polygon, and to derive properties of regular polygons

9G2

Apply angle facts, triangle congruence, similarity and properties of quadrilaterals to derive results about angles and sides, including Pythagoras' Theorem, and use known results to obtain simple proofs

9G3

Use Pythagoras' Theorem (a² = b² + c² ) and trigonometric ratios (SOHCAHTOA) in similar triangles to solve problems involving right-angled triangles

PROBABILITY 9P1

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

9P2

Generate theoretical sample spaces for single and combined events with equally likely, mutually exclusive outcomes and use these to calculate theoretical probabilities

STATISTICS 9S1

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)

9S2

Construct and interpret appropriate tables, charts, and diagrams, including frequency tables, bar charts, pie charts, and pictograms for categorical data, and vertical line (or bar) charts for ungrouped and grouped numerical data

9S3

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