#### PURPOSE OF STUDY

Mathematics is a creative and highly inter-connected discipline that has been developed over centuries, providing the solution to some of history’s most intriguing problems. It is essential to everyday life, critical to science, technology and engineering, and necessary for financial literacy and most forms of employment. A high-quality mathematics education therefore provides a foundation for understanding the world, the ability to reason mathematically, an appreciation of the beauty and power of mathematics, and a sense of enjoyment and curiosity about the subject.

**Aims **

The national curriculum for mathematics aims to ensure that all pupils:

- become
**fluent**in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately. **reason mathematically**by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language- can
**solve problems**by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions.

Mathematics is an interconnected subject in which pupils need to be able to move fluently between representations of mathematical ideas. The programmes of study are, by necessity, organised into apparently distinct domains, but pupils should make rich connections across mathematical ideas to develop fluency, mathematical reasoning and competence in solving increasingly sophisticated problems. They should also apply their mathematical knowledge to science and other subjects.

The expectation is that the majority of pupils will move through the programmes of study at broadly the same pace. However, decisions about when to progress should always be based on the security of pupils’ understanding and their readiness to progress to the next stage. Pupils who grasp concepts rapidly should be challenged through being offered rich and sophisticated problems before any acceleration through new content. Those who are not sufficiently fluent with earlier material should consolidate their understanding, including through additional practice, before moving on.

#### Curriculum Maps

#### Autumn 1

Place Value and the Number Line

Calculation: Addition and Subtraction

#### Autumn 2

Calculation: Addition and Subtraction

Visualising and Constructing

Calculation: Multiplication and Division

Understanding Properties of Shapes and Angles

#### Autumn Assessment

Baseline assessment

TA based on work in these topics

#### Spring 1

Understanding Properties of Shapes and Angles

Dividing with Fractions

Reading and Calculating Time

Exploring Fractions, Decimals and Percentages

#### Spring 2

Exploring Fractions, Decimals and Percentages

Working with Units of Measure

Number Theory and Problem Solving

Drawing and Measuring Angles

Calculating with Fractions and Decimals

#### Spring Assessment

TA based on work in these topics

#### Summer 1

Calculating with Fractions and Decimals

Calculating in Different Dimensions

Checking, Approximating and Estimating

Describing and Applying Transformations

#### Summer 2

Constructing and Interpreting Graphs and Charts

Year 6 transition work (focused on four operations)

#### Summer Assessment

TA based on work in these topics & QCA Year 5 assessment

#### Autumn 1

Understanding Place Value and Number Systems

Calculation: Addition Subtraction & Multiplication

Measuring and Drawing Angles

Calculation: Division

#### Autumn 2

Calculation: Division

Number Theory: Structure and Relationships

Investigating Properties of Shapes and Angles

Formulae and Conversion

Exploring Fractions, Decimals and Percentages

#### Autumn Assessment

Baseline assessment

TA based on work in these topics & SAT assessment (practice)

#### Spring 1

Exploring Fractions, Decimals and Percentages

Working with Units of Measure

Working with Fractions, Decimals & Percentages

Calculating with Fractions and Decimals

#### Spring 2

Calculating with Fractions and Decimals

Calculating in Different Dimensions

Exploring Sequences and Equations

Checking Approximating and Estimating

#### Spring Assessment

TA based on work in these topics & SAT assessment (practice)

#### Summer 1

Describing and Applying Transformations

Constructing and Interpreting Graphs and Charts

Calculating and Interpreting Averages

**Assessment:** SATs preparation / SATs mock assesment / SATs assessment

#### Summer 2

Consolidation and extension of Year 6 topics

Year 7 transition work

#### Summer Assessment

TA based on work in these topics

#### Autumn 1

Number Theory and Place Value

Comparing and Ordering on the Number Line

Calculating and Place Value

#### Autumn 2

Calculating and Place Value

Visualising and constructing

Investigating Properties of Shapes and Angles

Working with Units of Measure

Working with Expressions and Formulae

#### Autumn Assessment

Baseline assessment

TA based on work in these topics

#### Spring 1

Working with Expressions and Formulae

Equivalence in Fractions, Decimals & Percentages

Generating and Describing Sequences

Proportional reasoning

#### Spring 2

Proportional reasoning

Calculating: Fractions, Decimals and Percentages

Solving Equations

#### Spring Assessment

TA based on work in these topics & AQA KS3 assessment (Year 8 standard)

#### Summer 1

Solving Equations

Calculating in Different Dimensions

Transformations and Coordinate Geometry

#### Summer 2

Checking, Approximating and Estimating

Constructing and Interpreting Graphs and Charts

Calculating and Interpreting Averages

Understanding Probability

#### Summer Assessment

TA based on work in these topics

#### Autumn 1

Number Theory and Place Value

Fractions, Decimals and % on the Number Line

#### Autumn 2

Visualising and Constructing

Working with Expressions and Formulae

Calculating: Fractions, Decimals and Percentages

#### Autumn Assessment

Baseline assessment

TA based on work in these topics & AQA KS3 assessment (Year 8 standard)

#### Spring 1

Calculating: Fractions, Decimals and Percentages

Proportional Reasoning

Exploring Sequences

#### Spring 2

Exploring Sequences

Investigating Geometry

Probability

Solving Equations

#### Spring Assessment

TA based on work in these topics

#### Summer 1

Solving Equations

Calculating in Different Dimensions

Calculating and Interpreting Averages

#### Summer 2

Coordinate Geometry

Constructing and Interpreting Graphs and Charts

High-school transition work

#### Summer Assessment

TA based on work in these topics & AQA KS3 assessment (Year 9 standard)

**Calculation Policy**

**Exemplification of NC Objectives**

### Useful Resources and Links

**Below are a selection of useful resources for helping your child with their mathematics:**

**Valley Gardens Maths and English Intervention
MyMaths – online homework and lessons
Multiplication Trainer
10 Minutes a Day – free IOS times tables app
Times Tables Challenges – free IOS app
Times Table flash cards
Mathematics Enhancement Programme – KS3 help modules
Squared Paper for maths homework
**

### Help with KS2 SATs

**Below are some practice materials which you might find helpful for supporting your child at home during their SATs year:
**

**MyMiniMaths – short focused KS2 SATs practice
MathsFrame – questions on each KS2 NC objective
KS2 SATs tutorials – exam question help**

**Corbett Maths – 5-a-day SATs revision**

2016 KS2 Practice Arithmetic PAPER A

2016 KS2 Practice Arithmetic PAPER B

2016 KS2 Practice Arithmetic PAPER A

2016 KS2 Practice Arithmetic PAPER B

**2016 KS2 Practice Arithmetic PAPER C**

**2016 KS2 Practice Arithmetic PAPER D**

2016 KS2 Sample Arithmetic Content Practice Set A

2016 KS2 Sample Arithmetic Content Practice Set B

2016 KS2 Sample Arithmetic Content Practice Set C

2016 KS2 Sample Arithmetic Content Practice Set D

2016 KS2 Sample Arithmetic Content Practice Set A

2016 KS2 Sample Arithmetic Content Practice Set B

2016 KS2 Sample Arithmetic Content Practice Set C

2016 KS2 Sample Arithmetic Content Practice Set D

### Instructional Videos