ď»ż Maths - Springwest Academy # Maths

"Pure Mathematics is, in its way, the poetry of logical ideas." - Albert Einstein

## Maths is...

Mathematics is the study of patterns, structure, space and change. As abstract as that may seem, maths is, at its core, a quest (#SpringQuest) for absolutes, definitive solutions and answers. As a department, we place a high value on developing strategies to boost student interest, while also helping them to discover and form connections within the subject. Our sole responsibility is not just teaching for exams, but teaching to inspire lifelong learning and stimulate the curiosity of our students, regardless of their mathematical ability. Supporting our pupils to gain a solid understanding of the foundations of maths enables them to become confidently numerate for life, ready to succeed in today’s modern and ever-changing world.

## Sequence of Learning

Stage/Year group

Autumn 1

Autumn 2

Spring 1

Spring 2

Summer 1

Summer 2

2

Year 7 FL*

Place Value

Negatives on a number line

4 Operations

Types of number

Addition and Subtraction of negatives

Telling the time

Fractions in diagrams

Fractions as % and decimals

Mixed and  improper fractions

Rounding and estimation

Properties of 2D shapes

Types of angles

Measuring and drawing angled

Units of measure

Perimeter of 2D shapes

Area of rectangles

Simple volume

Reflection

Translation

Tessellations

Bar charts, pictograms

Money project

Revision

3

Year 8 FL

Place value

Negatives on a number line

Factors and multiples

Prime numbers

4 operations

BIDMAS

Rounding

Using a protractor and a compass

Properties of 3D shapes

Nets of 3D shapes

Angles in triangles, quadrilaterals and regular polygons

Substitution

Expressions, Formulas

Equivalent fractions

Convert between FDP

Ratio

Linear Sequences

4 operations on fractions

Percentages of amounts

Units of measure

Angles: straight line, around the point

Substitution

Solving equations

Perimeter of 2D shapes

Area of a triangle, parallelogram, trapezium

Volume

Coordinates

Transformations

Averages: mean

Pie charts

Frequency polygon

Money Project

4

Year 7 -HA*

Year 8 -MA*

Year - LA*

Primes, squares, cubes, roots, HCF, LCM

4 operations inc. integers

Rounding

Comparing and ordering numbers inc. negatives

Symmetry

Constructing a triangle

Investigating 3D shapes

Collecting like terms

Expanding brackets

Substitution, Functions

Exploring FDP

Ratio

Linear and geometric sequences

Units of measure

Angles

Fractions 4 operations

Percentages of amounts

Percentages increase and decrease

Solving equations

Perimeter of any 2D shape

Area of a triangle, parallelogram, trapezium

Volume

Surface area

Equation of a line

Transformations

Frequency tables

Charts

Averages

Money Project

5

Year 8 - HA

Year 9 - MA

Prime factorisation

LCM, HCF

Standard form

Significant figures

4 operations on negatives

BIDMAS

Probability

Enlargement

Bearings

Plans and elevations

Index laws, simplifying expressions, expanding brackets, substitution, factorising,changing the subject of the formula

Converting between the FDP

Proportional reasoning

Compound units

Linear sequences

Angles basics

Angles in parallel lines

Exterior and interior angles

Percentages with a calculator

Solving linear equations

Solving simultaneous equations graphically

Solving simultaneous equations graphically

Circles: area, perimeter

Volume of a 3D shapes inc. a cylinder

Plotting linear graphs

Equation of a line

Distance time graph

Probability

Frequency tables

Scatter graphs

Averages from the table

Money project

6

Year 9 - HA

Year 10 - MA

Index Laws

4 operations on standard form

Bounds

Constructions: bisectors, loki

Simplifying expressions

Expanding double/ triple brackets

Substitution

Linear and quadratic sequences

Fibonacci sequences

Direct and inverse proportion

Similar shapes

Compound measures

Solving inequalities

Inequalities on a number line

Circles; arc length, sectors

Surface area

Pythagoras theorem

Congruent triangles

Proof

Linear graphs, parallel lines

Equation on a line

Types of graph

Simultaneous equations

Independent events

Probability tree

Scatter graphs

Time series

Percentages with a calculator

7

Year 10 - HA

Trigonometry

Bearings

Index Laws with negative and fractional indices

Surds

Bounds

Iteration

Simultaneous equations

Transformations

Surds

Expanding and factorising

Algebraic fractions

Direct and inverse proportion

Geometric progression

Inequalities

Regions

Surface area and volume

Similar shapes and scale factor

Circle theorems

Rate of change

Area under the graph

Recurring decimals

Compound interest

Venn diagrams and sets notation

Product rule for counting

Cumulative frequency and box plots

Equation of a circle

Perpendicular lines

Vectors

Money project

8

Year 11 - HA

3D Pythagoras

Trigonometry

SURDS

Enlargement

Composite and inverse functions

Direct and inverse proportion

Geometric progression

Transformation of graphs

Histograms

Rate of change

Vectors

G1 to 3

Year 10 Foundation

Year 11 FL

Revision on:

HCF, LC, Primes

Fractions - 4 operations

FDP conversion

Percentages of amounts

Revision on:

BIDMAS

Rounding

Types of number

Units of measure

Area and perimeter

Linear sequences

Revision on:

Coordinates

Linear graphs

Simplifying expressions, expanding brackets

Solving equations

Function machines

Revision on:

Ratio and FDP

Angles

Revision on:

Area

Volume

Transformations

Probability

Charts

Averages

G4 - 5

Year 11

UPPER Foundation

Revision on:

Fractions - 4 operations

FDP conversion

Percentages

Decimals - x and Revision on:

Algebra

Expanding and factorising

Solving

Averages

Pie charts, bar charts

Revision on:

Angles

Perimeter, area, volume

3D shapes

Straight line graphs

Probability

Revision on:

Probability

Pythagoras

Prime factorisation

FDP week

Revision on:

Probability

Rounding

Proportion

Compound ,measures

G5 - 6

Year 11

LOWER Higher

Revision on:

Basic algebra

Solving linear and quadratic equations

Inequalities

Fractions Decimals Percentages

Angles

Bearings

4 operations

Negatives

Indices and roots

Revision on:

Rounding

Plotting linear and quadratic graphs

Real life graphs

Proportion

Shape: perimeter, volume, area, plans and elevations

Revision on:

Averages

Charts, graphs

Cumulative frequency

Linear and quadratic sequences

Pythagoras theorem

Trigonometry

Revision on:

Probability

Percentages

Standard form

Prime factorisation

Compound interest

Revision on:

Transformations

Constructions

Simultaneous equations

Vectors

Similarity

*FL - Foundation Learning group

*HA - High Ability

*MA - Middle Ability

*LA - Lower Ability

GCSE EXAM:  EDEXCEL