# Key Stage 3

Key Stage 3

At Stretford high School we deliver Realistic Maths Education (RME) and Mastery at Key Stage 3, Years 7 and 8. In RME, mathematics is developed by working with contexts which provide a source for generating mathematical models and hence a deep understanding of where mathematics comes from.  Contexts can be taken from the real world, from fiction or from an area of mathematics that students are already familiar with – the important thing is that students are able to imagine and engage with them.

The key features of an RME classroom are:

• > extended discussion of multiple contexts
• > development of students’ representations of contexts
• > focus on multiple strategies for solving problems
• > sharing, explaining and discussing strategies

The scheme is based on 5 maths areas: Number, Algebra, Ratio & Proportion, Probability & Statistics, Geometry & Measures, and Ratio and Proportion delivered in years 7 and 8, consolidated in year 9, laying the foundation for GCSE work in KS4.

Year 7

 Year 7 Curriculum Overview Topic Unit content Term 1 Placevalue / Multuples, squares, cubes and roots / Prime Numbers / Directed numbers Using place value charts and problem solving questions to explore the value of digits in decimals, measures and integers / Identifying what multiples and the connections between multiples. Exploring exponents, squares, cubes, roots and other powers using calculator and non-calculator methods / Researching the unique prime factorisation of integers and how to efficiently find highest common factors and lowest common multiples / Strategies using the four operations with integers, negatives and decimals (addition, subtraction, multiplication and division) / Calculating efficiently using the three laws of arithmetic (commutative, associative and distributive). Term 2 Algebra – expression & Equations / Coordinates and graphs / Comparing numbers Using algebra for forming and interpreting expressions and equations with the aid of bar models / Connecting algebra to coordinates, equations and graphs. Interchanging decimals and fractions / Compare and order positive and negative integers, decimals and fractions. Term 3 Fractions / Ratio Strategies using the four operations with fractions (addition, subtraction, multiplication and division) / Discovering connections using multiplicative relationships / Exploring fractions in multiplicative relationships / Exploring ratios in multiplicative relationships.

Year 8

 Year 8 Curriculum Overview Topic Unit content Term 1 Number/Geometry Multiplicative relationships: Ratio & fractions, fractions of amounts, Expressing one fraction as a quantity of another, dividing amounts using ratio.  Shape: Properties of polygons. Calculating area and perimeter (circumference). Exploring the trapezium Term 2 Geometry/Algebra Compound Shapes. Investigating properties of a circle. Calculating surface area of 3D shapes.   Rounding to a given decimal place and a given significant figure.  Algebra: Generating sequences using term-to-term rules, coordinates, linear and non linear relationships, rate of change gradient and y intercept Term 3 Algebra/Number Algebra: Forming equations, solving equations through balancing including brackets. Percentages and place value. Percentages of quantities, using the multiplier and percentage change. Reserves percentages

Year 9

 Year 9 Curriculum Overview Foundation Topic Foundation unit content Term 1 Number / Algebra / Data & Probability BIDMAS with positive and negative values, Inverse operations. Decimal numbers. Place value and estimating. Factors and multiples. Squares, cubes and roots. Index notation. Prime factors HCF and LCM. Calculating with powers (indices). Zero, negative and fractional indices. Powers of 10 and standard form. Surds. / Algebraic expressions. Simplifying expressions. Substitution. Formulae. Expanding brackets & Factorising. Algebraic indices. Expanding and factorising Linear & quadratic. Solving equations, with brackets, quadratics. Inequalities(linear and nonlinear). Linear sequences. Non-linear sequences. More expanding and factorising, completing the square. / Frequency tables. Two-way tables. Representing data. Time series. Pie Charts. Scatter graphs. Line of best fit Stem & Leaf diagrams (back to back) frequency polygons, probability. Term 2 Fractions, Ratio & Percentage / Shape Fractions, decimal and percentages. Recurring decimals. Calculating percentages of amounts. Calculating percentage changes. Reverse percentage Original value. Simple interest and compound interest. Growth and decay. Problem solving involving fractions and percentages. Ratio. Ratio and proportion. / Properties of shapes. Angles in parallel lines. Angle properties of triangles and quadrilaterals. Exterior and interior angles. Angles problem solving (forming equations. Pythagoras theorem. Trigonometry SOH CAH TOA. Sine and Cosine. Term 3 Perimeter, Area and Volume / Graphs / Transformation & Constructions Rectangles, parallelograms and triangles. Trapezia and changing units. Area of compound shapes. Volume of prisms. More volume and surface area. Volume of prisms. More volume and surface area. Units and accuracy. Prisms. Circles. Sectors of circles. Cylinders and spheres. Pyramids and cones. / Coordinates. Linear graphs. Gradient. y = mx + c. Real-life graphs Graphing rates of change. Distance-time graphs. Line segments Quadratic graphs. Cubic and reciprocal graphs. Linear and nonlinear real life graphs. Circle graphs. / 3D solids. Reflection and rotation. Enlargement. Transformations and combinations of transformations. Plans and elevations. Accurate drawings. Bearing Scale drawings and maps. Constructions. Loci