Year 9 Maths

The curriculum builds on the concepts and skills developed in previous years, preparing students for the more advanced work they will encounter in GCSE Mathematics.

Skills	Outcomes
Number	Real Numbers: – Perform operations with integers, decimals, and fractions confidently. – Work with powers and roots, including squares, cubes, and higher powers. – Understand and apply the concepts of prime factorization, least common multiple (LCM), and greatest common divisor (GCD). Ratio, Proportion, and Rates of Change: – Solve problems involving direct and inverse proportion. – Use ratios and scale factors in practical contexts, such as maps and scale drawings. – Understand and calculate percentages, including percentage change and reverse percentages.
Algebra	Expressions and Formulae: – Simplify and manipulate algebraic expressions, including expanding, factorizing, and simplifying rational expressions. – Understand and use algebraic notation, including indices and roots. -Substitute values into expressions and formulae and rearrange formulae to solve problems. Equations and Inequalities: – Solve linear equations and inequalities, including those with variables on both sides. – Solve simultaneous equations algebraically and graphically. – Begin to solve quadratic equations by factorization and using the quadratic formula. Sequences and Graphs: – Recognize and generate arithmetic and geometric sequences, and find the nth term. – Plot and interpret linear and quadratic graphs. – Understand the concepts of gradient and intercepts of linear functions.
Geometry and Measures	Properties and Constructions: – Understand and use properties of angles, including those in parallel lines, triangles, and polygons. – Perform constructions using a compass and ruler, including bisecting angles and constructing perpendiculars. – Explore and apply properties of similar and congruent shapes. Perimeter, Area, and Volume: – Calculate the perimeter and area of various 2D shapes, including circles and compound shapes. – Calculate the surface area and volume of 3D shapes, including prisms, cylinders, cones, and spheres. Transformations and Coordinates: – Perform and describe transformations, including translations, rotations, reflections, and enlargements. – Use coordinates to describe and plot points and shapes in all four quadrants.
Statistics and Probability	Data Handling: – Collect, organise, and interpret data using various methods, including frequency tables, bar charts, histograms, pie charts, and line graphs. -Calculate and interpret measures of central tendency (mean, median, mode) and measures of spread (range, interquartile range, standard deviation). Probability: – Understand and use the probability scale from 0 to 1. – Calculate theoretical probabilities of single and combined events using sample spaces, Venn diagrams, and probability trees. – Use experimental probability to make predictions and compare with theoretical probability.
Problem Solving and Mathematical Reasoning	Application: – Apply mathematical knowledge to solve a range of real-life and abstract problems. – Develop logical reasoning and critical thinking skills to approach and solve mathematical problems. – Communicate mathematical ideas clearly using appropriate mathematical language, notation, and diagrams.