# 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 OverviewTopicUnit content
Term 1Number

Geometry
Finding area of various shapes including rectangles, triangles, parallelograms, trapezium and compound shapes.
Looking at relationships between units of area

Finding area of various shapes including rectangles, triangles, parallelograms, trapezium and compound shapes.
Looking at relationships between units of area
Term 2Proportion

Algebra
Diagrammatic representations of fractions. Finding percentage of an amount. Estimating percentages . Expressing one amount as a percentage of another. Percentage change Proportional quantities.

Letters and symbols for unknowns +, –, x, ÷ in algebra. Collecting like terms, expand single brackets, factorise. Develop algebraic thinking for solving equations.

Term 3Data

Coursework Project
The dot plot. Stem & leaf. Pictograms. Mean, median, mode and range for discrete data. Comparing and interpreting statistical data.

Student can design theme park, zoo, or aircraft

Year 8

Year 8 Curriculum OverviewTopicUnit content
Term 1Data

Number
The dot plot. Stem & leaf. Pictograms. Mean, median, mode and range for discrete data. Comparing and interpreting statistical data.

Comparing proportional quantities. Speed, distance, time. Solve problems involving proportion. Working with fractions and decimals.
Term 2Proportional reasoning

Geometry
Finding area and perimeters for circular shapes. Finding volume and surface area of 3D solids. Pythagoras Theorem. Finding volume and surface area of 3D solids.

Comparing proportional quantities Speed, distance, time Solve problems involving proportion Working with fractions and decimals.
Term 3Data & Probability

Algebra
Drawing pie charts. Interpreting a variety of data representation including stacked bar charts. Strategies for finding the mean, median and mode for grouped data.

Developing the concepts of gradient and intercept. Working with formulae and graphs. Re-arranging formulae

Year 9

Year 9 Curriculum OverviewFoundation TopicFoundation unit content
Term 1Number

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 quations, with brackets, quadratics. Inequalities(linear and non linear). 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 2Fractions, 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 3Perimeter, 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 graphsGraphing rates of change. Distance-time graphs. Line segments
Quadratic graphs. Cubic and reciprocal graphs. Linear and non linear 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