Maths (Year 9)
See Year 9s Maths ‘Schedule of Learning’ for the 2025/26 academic year
| Topic | Sub-topic |
|---|---|
| Number | ~ Recap how to add, subtract, multiply and divide negative numbers ~ Write positive integers as products of prime factors using the prime factor tree method ~ Find the Highest Common Factor of two positive integers using prime factor decomposition and a Venn diagram. ~ Find the Lowest Common Multiple of two positive integers using prime factor decomposition and a Venn diagram |
| Number | ~ Recap how to add and subtract fractions including mixed numbers. ~ Recap how to multiply and divide fractions including mixed numbers. ~ Write decimals as fractions including recurring decimals. ~ Round values correct to a certain number of decimal places and significant figures. |
| Shape | ~ To be able to reflect shapes on a coordinate grid using lines of symmetry such as x=2, y=-3, y=x, y=-x. ~ To be able to describe rotations on a coordinate grid. ~ To be able to rotate shapes accurately on a coordinate grid. ~ To be able to describe rotations on a coordinate grid. ~ To be able to translate a shape using a translation vector. ~ To be able to describe translations using a translation vector. |
| Shape | ~ To be able to draw basic enlargements. ~ To be able to combine transformations and describe combined transformations as a single transformation. |
| Number | ~ Simplify ratios and share a quantity in a given ratio. ~ Convert between percentages and fractions and calculate basic percentages of quantities. ~ Increase a quantity by a given percentage using the multiplier method. |
| Number | ~ Decrease a quantity by a given percentage using the multiplier method. ~ Solve reverse percentage problems in a range of contexts. ~ Calculate simple and compound interest. |
| Algebra | ~ Substitute positive and negative integers into formulae including powers and brackets. ~ Simplify expressions involving the rules of indices. ~ Expanding single brackets and collecting like terms. ~ Expanding and simplifying double brackets to obtain a quadratic expression. |
| Algebra | ~ Factorise expressions that need just one bracket. ~ Factorise basic quadratic expressions ie the coefficient of x² is 1. |
| Algebra | ~ Find the nth term formula for linear sequences. ~ Generate sequences using rules. ~ Understand the difference between an arithmetic (linear) sequence and a non- arithmetic (eg quadratic or geometric) sequence. ~ Finding the sum of an arithmetic sequence [Basic] |
| Algebra | ~ Understand the difference between an expression, equation and identity. ~ Solve basic linear equations (one step and two step – include square rooting). ~ Solve linear equations with x on both sides. ~ Solve linear equations which involve brackets. ~ Solve linear equations which involve fractions but not with x on the denominator. |
| Algebra | ~ Accurately draw straight line graphs by plotting 3 points. ~ Find the gradient and y-intercept from a drawn graph. ~ Use the gradient and y-intercept to write the equation of the straight line y=mx+c. |
| Algebra | ~ Recognise parallel lines from their equations. ~Forming an equation from two coordinates, gradient and a point on the line. ~ Find the distance between two points. ~ Find the midpoint of a line. |
| Shape | ~ Use angles in parallel, intersecting or straight lines. ~ Use the sum of the angles in a triangle and quadrilateral to solve problems involving algebra (include isosceles triangle properties). |
| Shape | ~ Use the sum of the angles in other polygons to find interior and exterior angles. |
| Shape | ~ Discover basic properties of quadrilaterals such as lines of symmetry etc. ~ Recap how to find the areas of triangles, rectangles and trapezia including compound shapes. |
| Shape | ~ Recap what Pythagoras’ theorem is and how to use it to check if a given triangle is right-angled or not. ~ Label the sides of a right-angled triangle H, O, A to an angle. ~ Use Pythagoras to find the hypotenuse of a right-angled triangle. ~ Use Pythagoras to find one of the shorter sides. ~ Use Pythagoras to solve 3D problems. ~ Use Pythagoras to solve problems on a coordinate grid, such as finding the length between two points. |
| Shape | ~ Recap how to find the circumference of a circle. ~ Recap how to find the area of a circle. ~ Find the diameter/radius given the circumference or area. |
| Shape | ~ Solve circle problems involving tangents, chords and radii. ~ Learn and use the theorem that the angles subtended by an arc in the same segment are always equal. ~ Learn and use the theorem that the angle subtended by an arc at the centre is twice the angle subtended by the same arc at the circumference. ~ Solve a range of problems involving the above circle properties and theorems. |
| Algebra | ~ Solve simultaneous equations by inspection to develop the idea that you have to find both x and y to solve the problem. ~ Recap how to solve two-step linear equations and how to substitute into basic linear formulae. ~ Solve simultaneous equations by elimination when you can simply add or subtract the two original equations. ~ Solve simultaneous equations by elimination when you have to multiply one of the equations by an integer. ~ Solve simultaneous equations by elimination when you have to multiply both the equations by an integer. |
| Algebra | ~ Solve simultaneous equations by a graphical method. ~ Set up and solve simultaneous equations. |
| Number | ~ Convert large numbers to standard form and vice versa. ~ Convert small numbers to standard form and vice versa. ~ Perform calculations using numbers in standard form and remembering to give answers in standard form. |
| Statistics | ~ Recap how to calculate the mean, median, mode and range of lists of numbers. ~ Learn how to calculate the mean and find the mode and range of data in a non-grouped frequency table. |
| Statistics | ~ Learn how to calculate the mean and find the mode and possible ranges of data in a grouped frequency table. |
| Revision | |
| Y9 exams (all subjects) | |
| Statistics: Probability | ~ Recap how to add fractions and how to subtract fractions and decimals from 1. ~ Solve basic probability problems such as balls in a bag. ~ Solve probability problems involving two-way tables. ~ Find probabilities from a Venn diagram |
| Statistics: Probability | ~ Understand what mutually exclusive outcomes are and how to solve problems involving them ie P(A or B) = P(A) + P(B). ~ Understand what independent events are and how to solve problems involving them ie P(A and B) = P(A) x P(B). ~ Draw, complete and use tree diagrams. |
| Shape | ~ Accurately construct triangles given SAS, ASA, SSS or SSA. ~ Construct an angle bisector. ~ Construct a perpendicular bisector of a line and a perpendicular from a point on a given line. |
| Number | ~ Recap basic powers and roots ie squares, cubes, square roots and cube roots. ~ Use fractional notation for basic roots. ~ Evaluate expressions involving more complicated fractional powers such as 8^(2/3). ~ Understand negative index notation. ~ Recap how to use the 3 laws of indices and include x0=1. |
| Shape | ~ Recap how to reflect, rotate and translate shapes on a coordinate grid. ~ Recap how to perform combined transformations. ~ Recap basic enlargements and learn how to complete negative and fractional enlargements. ~ Learn how to solve problems involving similar shapes such as triangles. ~ Learn how to use length, area and volume scales factors to solve similar shape problems. |
| Investigation |
Exam Board – Edexcel iGCSE Maths (A)
What will you study?
Estimation
Algebraic Manipulation
Similarity and Congruency
Standard Form
Percentages
Factors and Multiples
Straight Line Graphs, Angles and Polygons, Sets, Simultaneous Equations, Travel Graphs, Transformations, Ratio and Proportion
Quadratics, Probability, Trigonometry, Handling Data, Constructions and Scale Drawing
Useful tips and resources
The Year 9 Curriculum covers aspects of Number, Algebra, Ratio and Proportion, Geometric Reasoning and Probability and Statistics; it’s aim is to build on and extend the topics studied in Key Stage 3. The best way to become more proficient in Mathematics is to practice little and often.
Dr Frost Maths
Maths Genie
Corbett Maths
MME Revise
Save My Exams
What super curricular activities can KS3 students engage with at school?
Hans Woyda Club – Autumn Term
UKMT Junior Maths Challenge – Summer Term
STEM Club – All year
Maths Stretch and Challenge – nrich.maths.org
The Winton Gallery – The Science Museum, London
The Bank of England – Financial History
Bletchley Park – Coding and Alan Turing
The History of Science Museum in Oxford
Hans Woyda Club – Autumn Term
UKMT Intermediate Maths Challenge – Spring Term
Maths Stretch and Challenge – nrich.maths.org
The Winton Gallery – The Science Museum, London
The Bank of England – Financial History
Bletchley Park – Coding and Alan Turing
The History of Science Museum in Oxford
UKMT Senior Maths Challenge
Hans Woyda Club – Autumn Term
Maths Stretch and Challenge – nrich.maths.org
The Winton Gallery – The Science Museum, London
The Bank of England – Financial History
Bletchley Park – Coding and Alan Turing
The History of Science Museum in Oxford