# Maths

# The Maths Department

**Introduction**

Mathematics equips students with tools such as problem-solving, reasoning and the ability to think in abstract ways.

Mathematics is a precise language for communicating and presenting information. It enables us to explain and predict the outcome of events. Basic arithmetic skills are essential for home and work place and mathematics can be seen as a basis of all scientific and technological development.

Mathematics has evolved and developed over the years through the contribution of various different cultures around the world.

**Our Objectives**

The department aims to teach in a meaningful context whilst providing opportunities for students to use their creatively through problem solving and investigation. Students are encouraged to recall and apply their knowledge and skills to a range of situations and are taught to follow both verbal and written instructions accurately. Students follow a broad and balanced programme based on the requirements of the National Curriculum, guided by the renewed framework for mathematics.

**Differentiation and Special Educational Needs**

During lessons, students work in groups, pairs or individually on tasks linked to the objectives. We have invested in differentiated resources to allow the most and least capable in class to access the work. Students with SEN/School Action (SA) are in some cases supported by a Teaching Assistant. We also aim to provide opportunities for the gifted students with Mathematics Masterclasses and other challenges suited to their needs.

#### Year 5 Course Summary

**Numbers**

The number topics include the rounding of integers and decimals, the use of negative numbers in context and the ordering of positive and negative integers.

Equivalent fractions are dealt with and their relative decimal representations.

By first using strategies for mental calculation and progressing to written methods, the students will learn to perform a wide range of calculations with integers and decimals.

**Measures**

Students will choose and use suitable units and suitable degrees of accuracy when using measures.

They will select appropriate measuring instruments and learn to use them accurately.

**Geometry**

In Year 5 this involves the identification of congruent shapes, the symmetrical properties of shapes and the recognition of parallel and perpendicular lines.

**Problem Solving**

Students will learn to organise their work effectively to solve number problems encountered in mathematics and other subjects, communicating their solutions and describing their reasoning.

#### Year 6 Course Summary

**Numbers**

The number topics include the rounding of integers and decimals, the use of negative numbers in context and the ordering of mixed sets of numbers with up to three decimal places. Equivalent fractions are dealt with, their relative decimal and percentage representations and simple problems involving ratio and proportion.

By first using strategies for mental calculation and progressing to written methods, the students learn to perform a wide range of calculations with integers and decimals.

**Measures**

Students learn the relationship between familiar metric units and will learn approximate equivalents between common imperial and metric units. They will calculate the perimeters and areas of compound shapes and use a protractor to measure acute and obtuse angles.

**Geometry**

In Year 6 this involves the use of co-ordinates in all four quadrants and the revision of all the work done on the properties of polygons.

**Statistics**

The use of tables and charts to extract and interpret data is a major part of this area. Some work on probability is also tackled.

**Problem Solving**

Students learn to organise their work effectively to solve number problems encountered in mathematics and other subjects, communicating their solutions and describing their reasoning.

#### Year 7 Course Summary

**Numbers and Number Systems**

Number topics include the ordering, addition and subtracting of positive and negative numbers and the use of equivalent fractions, decimals and percentages.

**Calculation**

Mental methods of calculation are extended to include decimals, fractions and percentages and the written methods of multiplication and division are refined and extended to include decimals. Stress is placed on using appropriate checking methods.

**Algebra**

Pupils will begin to use letters or symbols to represent unknown numbers or variables.

**Shape, Space and Measures**

Pupils will learn to use, accurately, the vocabulary and notation associated with lines and angles and will use the geometric properties of triangles, quadrilaterals and some three dimensional shapes.

They will further their work on metric and imperial units of measure.

**Data Handling**

Processing and interpreting data plays an important part of this work and the calculation of probabilities in simple contexts.

**Problem Solving**

Pupils will learn to organise their work effectively to solve number problems encountered in mathematics and other subjects, communicating their solutions and describing their reasoning.

#### Year 8 Course Summary

**Number and Number Systems**

Number topics include work on the equivalence of fractions, decimals and percentages to compare proportion, the calculation of percentage increase and decrease and the use of ratio and direct proportion to solve problems.

**Calculations**

Standard column procedures for multiplication and division of integers and decimals will be consolidated. Calculator work will include the use of function keys, powers roots and fractions and the use of brackets. All mental methods of calculation will be extended to include work on products of decimal numbers, squares, square roots, cubes and cube roots.

**Algebra**

Students will be taught to simplify or transform linear expressions and to substitute integers into formulae. Graph work will include the use of ICT to plot and investigate linear functions.

**Shape, Space and Measures**

Geometric reasoning using the angle properties of triangles and quadrilaterals is an important part of the shape work covered this year. Construction work and transformations will include the enlargement of 2D shapes and the investigation of simple loci and we will continue to develop the use of formulae to calculate area and volume.

**Data Handling**

The interpretation of graphs and charts plays an important part of this work this year, with the calculation of probabilities of combined events.

**Problem Solving**

Students will learn to identify the necessary information to solve problems encountered in mathematics and other subjects, communicating their solutions and using logical argument.

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