# Mathematics

Mr S Robinson (Head of Team) | srobinson@conyers.org.uk | Mr J Downs | jdowns@conyers.org.uk |

Mr K Anderson | kanderson@conyers.org.uk | Mrs K Gray | kgray@conyers.org.uk |

Miss L Allanson | lallanson@conyers.org.uk | Mr M Black | mblack@conyers.org.uk |

Mr P Dixon | pdixon@conyers.org.uk | Mr A Pach | apach@conyers.org.uk |

Mr M Taylor | mtaylor@conyers.org.uk | Mx A Taylor | ataylor@conyers.org.uk |

Mrs J White | jwhite@conyers.org.uk |

## Key Stage 3 Curriculum Map

**Curriculum Intent**

To engage and enthuse learners in studying mathematics whilst embedding in them the fundamental and transferable skills which allow for the development of resilience and problem solving abilities through their application in wide ranging situations and contexts.

**Key Knowledge and Skills **

#### Year 7

Use positive integer powers and associated real roots

Apply the four operations with decimal numbers

Write a quantity as a fraction or percentage of another

Add, subtract, multiply and divide with fractions and mixed numbers

Check calculations using approximation, estimation or inverse operations

Simplify and manipulate expressions by collecting like terms and multiplying a single term over a bracket

Substitute numbers into formulae

Solve linear equations in one unknown

Calculate surface area of cubes and cuboids

Understand and use geometric notation for labelling angles, lengths, equal lengths and parallel lines

#### Year 8

Apply the four operations with negative numbers

Convert numbers into standard form and vice versa

Convert between terminating decimals and fractions

Factorise an expression by taking out common factors

Find and use the nth term for a linear sequence

Solve linear equations with unknowns on both sides

Plot and interpret graphs of linear functions

Use multiplicative reasoning to interpret percentage change

Understand and use lines parallel to the axes, y = x and y = -x

Calculate theoretical probabilities for single events

#### Year 9

Apply the formulae for circumference and area of a circle

Change the subject of a formula when two steps are required

Solve problems involving percentage change, including original value problems

Find a relevant multiplier when solving problems involving proportion

Apply the multiplication, division and power laws of indices

**Sequence Discussion**

#### Year 7

The year begins by practising written calculation skills. We assess students to ensure KS2 data reflects their initial ability too – some slight adaptations are made to streaming at this point. The first term focuses on Number, Geometry and Data skills. Basic algebraic techniques are formally introduced in HT3 and revisited half termly up until HT5. The scheme is written to provide a variety of topics and activities throughout the year.

The assessment at the end of year 7 tests students on content from the Year 7 SoW as well as the KS2 programme of study.

#### Year 8

The Year 8 sequence of topics is broadly the same as that used in Year 7. We assess students towards the end of the first half term – again, some slight adaptations are made to streaming at this point. Content in Year 8 is in most cases deepening learning from Year 7, however, some brand new topics are also introduced (calculations involving circles and linear and quadratic graphing in HT4).

The assessment at the end of year 8 tests students on content from the Year 7 and 8 SoW as well as the KS2 programme of study.

#### Year 9

There is greater emphasis on algebraic techniques in Year 9. All the basic manipulation of expressions and equations are covered in Year 7 and 8 so we now look to apply it in more difficult situations (SDT graphs in HT2, inequalities in HT3, new graphs in HT4 and simultaneous equations in HT5). Other brand new topics include formal constructions and loci (HT1), Pythagoras’ Theorem, conjecturing and proof (HT3) and the use of bounds (HT4).

The assessment at the end of year 9 tests students on content from all KS3 SoW.

#### Years 7, 8 & 9

Throughout each year, we use ‘skills based starters and homework’ to ensure regular practise of fundamental skills and techniques is taking place. A set of 10 skills is chosen each half term and these are tested by questions which are repeated weekly but with minor tweaks. The idea is to focus on cementing the building blocks of a mathematician whilst leaving more time in lessons to introduce new concepts without having to reteach the skills required to access it. Students keep a record of their progress electronically and the teacher assesses this at the end of each half term.

### Year 7

#### Half Term 1

Numbers and the number system

Visualising and constructing shapes

Investigating properties of shapes

Angles

#### Half Term 2

Calculating

Counting and comparing – fractions decimals and negatives

Measuring data

#### Half Term 3

Calculating 2: calculating and order of operations

Algebraic proficiency

Solving equations and inequalities

#### Half Term 4

Exploring fractions, decimals & percentages

Understanding risk

Pattern searching

#### Half Term 5

Presentation of data

Calculating fractions, decimals and percentages

Calculating space

Proportional reasoning

#### Half Term 6

Measuring space

Calculating space

Mathematical movement

### Year 8

#### Half Term 1

Exploring fractions, decimals and percentages

Calculating fractions, decimals & percentages 1 & 2

Measuring data 1

#### Half Term 2

Measuring data 2

Presentation of data

Checking, approximating and estimating

Numbers and the number system

#### Half Term 3

Calculating

Algebraic proficiency: tinkering

Solving equations and inequalities

#### Half Term 4

Proportional reasoning

Visualising and constructing

#### Half Term 5

Numbers and the number system 2

Pattern searching

Algebraic proficiency: visualising

#### Half Term 6

Understanding risk

Investigating angles

Calculating space

### Year 9

#### Half Term 1

Calculating

Algebraic proficiency: tinkering

Solving equations and inequalities

#### Half Term 2

Investigating quadrilaterals

Visualising and constructing

Proportional reasoning

Algebraic proficiency: visualising

#### Half Term 3

Pattern searching

Algebraic proficiency: visualising 2

#### Half Term 4

Solving equations and inequalities

Measuring data 2

Presentation of data

#### Half Term 5

Calculating fractions, decimals and percentages

Understanding risk

Calculating space

#### Half Term 6

Calculating space

Conjecturing

Calculating

Formal symmetries and reflections