Mathematics

Intent Statement

At The Mandeville School we believe Maths is an essential core of our curriculum because it is essential to everyday life. Not only does it equip students with the skills needed to solve complex problems, but it is also critical to science and necessary for financial literacy and most forms of employment.

Maths is important to our students because it provides students with the ability to reason mathematically so that they can understand the world around them. Students are brought into a unique way of seeing things by following procedures and contextualising problems.
The curriculum consists of a wide range of mathematical topics (Number, Ratio, Geometry, Probability, Statistics and Algebra) designed to give students the best opportunities for success at the various key stages both in maths and across other subjects and future employability. This in turn will create confident and independent problem solvers who are able to apply skills to un-signposted problems, who is happy and able to embrace maths at a level appropriate to the individual.

Links to the whole-school curriculum

The Maths curriculum is aligned to the whole school Curriculum. The Maths curriculum is designed to establish a kind community where everyone perseveres, achieves and flourishes; where we enable all the experience life to the full. In the Maths department we maintain the Mandeville School Curriculum Principles:

A kind community through a curriculum that respects the diversity of our school, valuing our rich knowledge, history and experiences.

Perseverance and achievement through a curriculum that is well sequenced, developing understanding, building retention and leading to academic achievement. Firm foundations in a three-year Key Stage 3 provide grounding for success in Key Stage 4, Key Stage 5 and beyond.

Flourishing through a curriculum that nourishes personal development by giving students opportunities to explore their identity and grow their character. Students are equipped with knowledge of how to be healthy, sustain positive relationships and maintain wellbeing so as to have the information needed to be able to make an effective contribution to society.

Enabling students to experience life to the full through a curriculum that inspires and enriches them with meaningful knowledge and cultural capital. High aspirations mean students study a broad range of subjects in Key Stage 3 and have a variety of routes through Key Stage 4 and 5 which are challenging and aspirational.

 In Key Stage Three we have 5 ‘big ideas’ (related to the national curriculum) which we study. These are…

1) Number – this deals with all the properties and behaviours of numbers.
2) Geometry – this is the study of shape and space.
3) Probability – this looks at everything concerned with chance.
4) Statistics – this covers to processing and analysing of large sets of data.
5) Algebra – this looks at the language and notations that can be used to explore relationships.

Key Skills and Meaningful Knowledge by the end of Key Stage 3 in Mathematics

By the End of Key Stage Three all students will know how to…

• Calculate and estimate combinations of powers, roots, fractions and brackets
• Use index laws to simplify expressions
• Write large and small numbers using standard form
• Write and solve equations
• Substitute values into expressions and formulae
• Expand single and double brackets.

• Calculate averages
• Display, analyse and compare data
• Enlarge 2D shapes using positive, negative and fractional scale factors
• Calculate percentage change
• Solve problems involving inverse proportion.

• Use scales and accurate scale diagrams
• Construct accurate triangles, nets and bisectors
• Find and use the nth term of an arithmetic sequence
• Recognise and continue non-linear sequences
• Represent inequalities on a number line and find integer values that satisfy an inequality.

• Area and circumference of a circle
• Use Pythagoras’ Theorem to find unknown sides in a right-angled triangle
• Calculate volume and surface area of prisms and cylinders
• Find the lower and upper bounds for a measurement
• Calculate percentage error intervals.

• Straight line graphs
• Simultaneous equations
• Non-linear graphs
• Congruent and similar shapes
• Ratios in triangles.

• Identify and work out the probabilities of mutually exclusive outcomes and events
• Calculate estimates of probability from experiments
• Complete and calculate probabilities from two-way tables, sample space diagrams and Venn diagrams
• Identify the tangent, sine and cosine ratio of any angle
• Use trigonometric ratios to work out an unknown angle in a right-angled triangle.

Curriculum Map

Curriculum Map Mathematics KS3