# Mathematics

## Department Aims

*To Motivate*

*To*

**A**spire*To be able to*

**T**ransfer skills*To reach*

**H**igher*To*

**E**ncourage*To*

**M**aster numerical skills*To*

**A**chieve*To have*

**T**enacity*To be an*

**I**ndependent learner*To*

**C**omprehend complex numeracy*and to*

**S**hare knowledge“There is little difference in people, but that little difference makes a big difference. The little difference is attitude. The big difference is whether it is positive or negative.”

*W Clement Stone*

* *

## Key Stage 2 – New Curriculum 2014

### Year 5

- Number
- Number and place value
- Addition and subtraction
- Multiplication and division
- Fractions (including decimals and percentages)
- Measurement
- Geometry
- Properties of shapes
- Position and direction
- Statistics

### **Links:**

Progression Map in Year 5

Progression Map in Year 6

Mathematics programme of study: Key Stages 1 and 2

National Curriculum Glossary

### Framework

Year 5 framework

Year 6 framework

## Key Stage 3 – New Curriculum 2014

In Key Stage 3, students complete the Key Stage 3 programme over 2 years.

### Purpose of study

Mathematics is a creative and highly interconnected 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.

### Working mathematically

Through the mathematics content, pupils should be taught to:

#### Develop fluency

- consolidate their numerical and mathematical capability from key stage 2 and extend their understanding of the number system and place value to include decimals, fractions, powers and roots
- select and use appropriate calculation strategies to solve increasingly complex problems
- use algebra to generalise the structure of arithmetic, including to formulate mathematical relationships
- substitute values in expressions, rearrange and simplify expressions, and solve equations
- move freely between different numerical, algebraic, graphical and diagrammatic representations [for example, equivalent fractions, fractions and decimals, and equations and graphs]
- develop algebraic and graphical fluency, including understanding linear and simple quadratic functions
- use language and properties precisely to analyse numbers, algebraic expressions, 2-D and 3-D shapes, probability and statistics

#### Reason mathematically

- extend their understanding of the number system; make connections between number relationships, and their algebraic and graphical representations
- extend and formalise their knowledge of ratio and proportion in working with measures and geometry, and in formulating proportional relations algebraically
- identify variables and express relations between variables algebraically and graphically
- make and test conjectures about patterns and relationships; look for proofs or counter-examples
- begin to reason deductively in geometry, number and algebra, including using geometrical constructions
- interpret when the structure of a numerical problem requires additive, multiplicative or proportional reasoning
- explore what can and cannot be inferred in statistical and probabilistic settings, and begin to express their arguments formally

#### Solve problems

- develop their mathematical knowledge, in part through solving problems and evaluating the outcomes, including multi-step problems
- develop their use of formal mathematical knowledge to interpret and solve problems, including in financial mathematics
- begin to model situations mathematically and express the results using a range of formal mathematical representations
- select appropriate concepts, methods and techniques to apply to unfamiliar and non-routine problems

### Year 7

- Number
- Algebra
- Ratio, proportion and rates of change
- Geometry and measures
- Probability
- Statistics

### Framework

*Year 7P and 7R framework*

*Year 7M framework*

*Year 7I and 7S framework*

### Year 8

Year 8P and 8R framework

Year 8I and 8S framework

## Level Ladders

Area, Perimeter, Volume, Pythagoras and Trigonometry

Construction and loci

Equations, formulae and identities

Fractions

Geometric reasoning

Integers, powers and roots

Measures

Mental calculations

Percentages

Place value, ordering and rounding

Probability

Process, represent and interpret

Sequences, functions and graphs

Transformations

Written calculations

## Year 6 revision - 10 for 10

L4 Questions

L4 Answers

L5 Questions

L5 Answers

## Year 8 revision - 10 for 10

Level 4 Questions

Level 4 Answers

Level 5 Questions

Level 5 Answers

Level 6 Questions

Level 6 Answers

Level 7 Questions

Level 7 Answers

Level 8 Questions

Level 8 Answers