## Year 7

## Year 8

## Algebraic notation and sequences

### Overview

Students will explore patterns and sequences and discover where we see some of these special sequences in the real world. We then build an understanding of algebraic notation, conventions and substitution to be able to dig deeper into the structure of a sequence and help us predict any term of a given sequence.

### Building On

Key Stage 2 numeracy knowledge of the four operations and missing number problems.

### New Knowledge

### Skills

### Cultural Capital

Exploration of the Fibonacci spiral in the natural world.

## Integers and intervals

### Overview

In Autumn 2 we explore very large numbers, very small numbers and the place that fractions, decimals and percentages take on a number line. When numbers start to get too large or too small to write down, we delve into the use of standard form to represent what we are trying to say.

### Building On

Key Stage 2 numeracy knowledge of the four operations, number lines and types of number

### New Knowledge

### Skills

### Cultural Capital

Links to where very large and very small numbers are used in describing the scale of the universe.

## The four operations in context

### Overview

Students discuss, compare and critique of formal methods of addition, subtraction, multiplication and division and then apply these operations to contextual problems. We will encounter financial problems, timetables, charts and areas of shapes and use our formal methods to tackle these problems.

### Building On

Key Stage 2 numeracy knowledge of the four operations, types of number and applying knowledge in context.

### New Knowledge

### Skills

### Cultural Capital

Participation in the UKMT Junior Maths Challenge

## Negative numbers

### Overview

This is where we begin our journey beyond zero and develop an understanding of what happens when we have to deal with negative numbers. Students will connect their understanding of algebraic convention and fractions, decimals and percentages to the world of directed number.

### Building On

Year 7 Spring 1 formal and mental methods of the four operations and Autumn 2 knowledge of fractions, decimals and percentages and understanding a number line.

### New Knowledge

### Skills

### Cultural Capital

## Angles and constructions

### Overview

Students will gain an understanding of angles in many different mathematical contexts, thinking about angles within polygons, on a straight line, around a point and angles that are formed by parallel lines and their transversal. They will also have the opportunity to learn how to use specialised mathematical equipment to construct angles and special triangles.

### Building On

Retrieving data. Wait a few seconds and try to cut or copy again.

### New Knowledge

### Skills

### Cultural Capital

## Probability

### Overview

"In Summer 2, we explore probability and how mathematicians express chance. Venn diagrams and set notation are introduced as a tool to represent more than one set of numbers that may have a mathematical relationship.

We connect our knowledge of number and use of Venn diagrams to perform prime factor decomposition and calculate more complex highest common factor and lowest common multiple problems."

### Building On

Key Stage 2 work on factors and multiples and Year 7 Spring 1 formal and mental methods of the four operations.

### New Knowledge

### Skills

### Cultural Capital

## Ratio

### Overview

To begin Year 8, students are introduced to the idea of a ratio. We use pictorial representation to build an understanding of what a ratio is used for and encounter complex sharing problems.

### Building On

Year 7 Spring 1 formal and mental methods of the four operations and Autumn 2 knowledge of fractions, decimals and percentages.

### New Knowledge

### Skills

### Cultural Capital

## Coordinate geometry

### Overview

This half term we formally introduce the cartesian plane and what it means to be a coordinte. We then look at rules that connect different coordinates and explore linear graphs; horizontal, vertical and of the form y=mx+c. We then extend the knowledge of the cartesian plane to scatter diagrams and correlation.

### Building On

Year 7 Autumn 1 algebraic convention and Key Stage 2 knowledge of plotting and identifying coordinates on the Cartesian plane.

### New Knowledge

### Skills

### Cultural Capital

## Equations and inequalities

### Overview

Year 8 Spring 1 is all about algebra. We build on the year 7 knowledge of algebraic convention and manipulation to expand single and double brackets and solve equations involving brackets and unknowns on both sides. Students will then extend this knowledge to representing and solving inequalities.

### Building On

Year 7 Autumn 1 algebraic convention and Year 7 Spring 1 formal and mental methods of the four operations.

### New Knowledge

### Skills

### Cultural Capital

Participation in the UKMT Junior Maths Challenge

## Fractions and percentages

### Overview

Students will find products of fractions and integers using pictorial representations to explore why fractions are multiplied and divided using our formal methods. This will then build into manipulation of algebraic fractions connecting with their knowledge of algebraic convention and manipulation.

We will then look into percentages, percentage increase and decrease and use of calculators for multipliers.

### Building On

Year 7 Autumn 2 fractions, decimals and percentages. Year 7 Autumn 1 algebraic convention and Year 8 Spring 1 work on algebraic techniques.

### New Knowledge

### Skills

### Cultural Capital

## Parallel lines and circles

### Overview

The first topic in Summer 1 is the exploration of pi and where it fits in to the mathematics of a circle. We introduce pi as a ratio and then use it to find the area and circumference of full circles, parts of circles and compound shapes made of various parts of circles.

### Building On

Year 8 Autumn 1 work on ratio and linking this idea to pi. Year 7 Summer 1 reasoning with angles.

### New Knowledge

### Skills

### Cultural Capital

## Data handling

### Overview

The data handling cycle is introduced here where students are required to think about how to carry out a statistical enquiry. We look at designing and critiquing questionnaires and then how to present and analyse the data collected. We draw and interpret comparative bar charts, pie charts and time series graphs and then look at delving further into the data with averages, identifying outliers and what they mean and comparing distributions.

### Building On

Year 7 Summer 2 statistics and Year 7 Spring 1 where we see the four operations in context which includes bar charts and line graphs.

### New Knowledge

### Skills

### Cultural Capital

## Coordinate geometry

### Overview

Year 9 Autumn term starts with exploring the cartesian plane in further depth with the rules that connect coordinates and what it means to have a parallel or perpendicular line. We look at gradients and y-intercepts and then link these to real life graphs that represent journeys with the use of the speed, distance, time formula.

### Building On

Year 8 Autumn 2 coordinates and the Cartesian plane.

### New Knowledge

### Skills

### Cultural Capital

## 2D and 3D shapes

### Overview

"This half term we connect prior knowledge of areas of 2D shapes (including circles) to plans and elevations, nets and surface areas and volumes of 3D shapes.

We then look at connecting this knowledge of volume with rates of change and density, bringing the learning into a familiar context."

### Building On

Year 8 Summer 1 developing geometry, Year 8 Autumn 1 ratio and Year 9 Autumn 1 rearranging formulae and using the speed, distance, time formula.

### New Knowledge

### Skills

### Cultural Capital

## Maths and money

### Overview

The coordinate geometry work completed in Autumn 1 and the Year 8 Spring percentages topic will be built upon this half term when we look at all things money. We explore percentage profit and loss, interest, value for money problems and exchange rates.

### Building On

Year 9 Autumn 1 coordinate geometry and Year 8 Spring 2 developing number.

### New Knowledge

### Skills

### Cultural Capital

Participation in the UKMT Junior Maths Challenge

## Bearings and vectors

### Overview

Students will use their prior knowledge of angles and parallel lines this half term and apply it to bearings. We will see how bearings link to real life problems, especially in air and sea travel, and have our first introduction to what vectors are.

### Building On

Year 7 and Year 8 Summer 1 work on angles and shapes. Year 8 Autumn 2 and Year 9 Autumn 1 understanding coordinate geometry for vectors.

### New Knowledge

### Skills

### Cultural Capital

## Pythagoras and surds

### Overview

Year 9 Summer 1 introduces the Pythagorean Theorem for right-angled triangles where students learn the vocabulary and mathematics behind the right-angled triangle. To be able to access this part of the curriculum fully, the concept of surds is introduced in order to be able to express irrational numbers in a more concise and accurate way.

### Building On

Year 9 Autumn 1 rearranging equations and Year 8 Sring 1 algebraic techniques.

### New Knowledge

### Skills

### Cultural Capital

## Further probability and Venn diagrams

### Overview

The final half term of Year 9 develops the concepts already covered in previous years around probability. We build in the idea of a tree diagram to help the understanding of multiple events and outcomes and explore the product rule for probability.

### Building On

Year 7 and Year 8 Summer 2 work on probability and statistics.