Upon entering the academy in year 7, students start with a review of the fundamentals of mathematics. Using a variety of methods and representations, the structure of numbers and the four operations are investigated deeply before negative numbers are introduced.
The fundamentals of algebra are investigated, using the operations and number structures students are now confident with.
Geometry in Year 7 involves developing a large mathematical vocabulary, using newly discovered algebra skills to represent angle and area problems.
Finally, fractions are considered and deeply investigated. Working with fractions can show deep concepts of division and proportion and build confidence with the four operations of any number.
In Year 8, Fractions are extended to consider the links with percentages. Algebra skills are extended to include sequences, linear graphs and more complex equations and inequalities. Ratio and proportion problems follow on, requiring students to use the fractions and percentages concepts, but represent these using different notation and vocabulary- finding more efficient methods.
At this stage, data representations are considered and critically evaluated building the skills needed to evaluate data presented in the media or in various career fields.
Finally; perimeter, area and volume are investigated using the vocabulary built in Year 7 and expanded to 3-Dimensions.
In the final year of key stage 3, students begin by considering all the connections between fractions, decimals and percentages and how to calculate with these. Probabilities are then investigated and risk management is discussed. Algebra is considered as a tool of representation, with algebraic manipulation skills being developed and applied to geometrical problems.
In spring, angles in polygons are investigated and Pythagoras’ theorem is learnt- bringing a new dimension to Geometry. Ratio and proportion are returned to, with a focus on shapes and measure. This leads to accurate constructions of shapes and scale drawings.
Before the end of the key stage, algebra is revisited and extended further using the large foundation of skills students have developed. Finally, Trigonometry is introduced pulling a range of skills together.
- Numbers and numerals
- Axioms and arrays
- Factors and multiples
- Order of operations
- Positive and negative numbers
- Expressions, equations and sequences
- Classifying 2-D Shapes
- Constructing triangles and quadrilaterals
- Area of 2D Shapes
- Transforming 2D Shapes
- Prime Factor Decomposition
- Equivalent Fractions
- All operations with fractions
- All Operations Acting on Fractions
- Forming and solving equations
- Forming & Solving Inequalities
- Linear Graphs
- Transforming 2D Shapes (One Year Only, then replaced with Angles in Polygons)
- Real life graphs and rates of change
- Direct and Inverse Proportion
- Positive & Negative Numbers Recap
- Univariate Data
- Bivariate Data
- Accuracy, Estimation
- Perimeter including Circles
- Area of 2D Shapes including Circles
- Volume & Surface Area of 3D Shapes
- FDP Review
- Sets, Venn and sample space diagrams
- Linear & Quadratic Expressions
- Volume and Surface Area of 3D Shapes
- Angles in Polygons (As Needed)
- Pythagoras’ Theorem
- Ratio review
- Similarity, enlargement & standard form
- Constructions, Congruence & Loci
- Representing and Solving Linear and Quadratic Equations
- Indices & Surd