# Mathematics

## Why we teach Maths

As pupils study mathematics, learning both numeracy and logic, it provides a basis for further curiosity and creativity in many subjects and related disciplines. A strong understanding of mathematics underpins topics in science and can support research in other social sciences. Improving pupils’ ability to think logically allows them to become more efficient in an array of other tasks both in and out of school.

## KS3 Mathematics

#### Overview of content

In Key Stage 3 (KS3) we offer a maths course tailored to the ability of each individual. The 5 courses A to E, which get progressively more challenging, build on the foundation skills mastered at primary school and prepare pupils well for the needs of their GCSE courses beginning in Year 10.  Pupils are tested termly throughout this period and changes of set and scheme occur at appropriate times. The results of our testing will be available on the go4schools.com website for you to monitor the progress of your child.

Each of the 5 schemes has a learning log detailing all the topics covered and links to corresponding tasks on the hegartymaths.com website.

The following table provides a link to the learning log for the scheme of work for each Key Stage 3 class.

 Year/Set Set 1 Set 2 Set 3 Set 4 Set 5 Set 6 7 C C B A - - 8 D D B B - - 9 E E D C C B

In Mathematics, the curriculum is broken into three termly modules; each module contains number, algebra, data and geometry topics. Towards the end of each term, pupils can demonstrate their mastery of the topics they have been learning by sitting a progress test. Throughout the year, pupils will continue to develop their problem-solving skills as well as their ability to reason and communicate mathematically.

#### Yr 7 Programme of Study

 Half term Topics studied; skills and knowledge How this will be assessed Autumn - 1 Number: Number skills including working with decimals, negative numbers, and prime numbers. Algebra: Introducing algebraic expressions, manipulating algebra including substituting into expressions and collecting like terms. End of topic homework. Autumn - 2 Data Handling: Representing data using a variety of graphs suitable to the level of the pupils – pie charts, scatter graphs or stem and leaf diagrams leading into bar charts. Geometry: Using angle facts, investigate parallel lines and the angle rules in 2D shapes. End of topic homework.   Progress test sat in early December. Spring - 1 Number: Learning to use a calculator well, thinking about accuracy and estimation. There will be an emphasis on using a calculator to solve multistep problems. Algebra:  Forming and solving equations. End of topic homework. Spring - 2 Data Handling: Analysing data, presented in a variety of ways, using averages and range. Geometry: Perimeter and area of 2D shapes, including triangles, parallelograms, trapezia and circles. End of topic homework. Progress test sat in late March Summer - 1 Number: Fractions, decimals and percentages. Working with fractions, comparing and performing calculations. Converting between fractions, decimals and percentages and finding percentages of numbers. Algebra: Different groups will look at different difficulties of sequences identifying patterns and describing in algebraic terms.  Using graphs to investigate straight lines.  Some groups will also look at real-life graphs. End of topic homework. Summer - 2 Data Handling: Topics in probability will be explored including independent events, mutually exclusive events and expected outcomes. Geometry:  A range of different topics depending on the level of the pupils including understanding similarity, scale factors and congruency. End of topic homework. Progress test sat in late June.

#### Yr 8 Programme of Study

 Half term Topics studied; skills and knowledge How this will be assessed Autumn - 1 Number: Number skills including working with decimals, negative numbers, indices and prime factors. Algebra: Expressions and manipulating algebra including substituting into expressions; expanding brackets; and at the higher end, working with indices. End of topic homework. Autumn - 2 Data Handling: Representing data using a variety of graphs suitable to the level of the pupils – pie charts, scatter graphs or stem and leaf diagrams leading into bar charts. Geometry: Using angle facts and Pythagoras’ theorem to solve problems. Standard constructions and loci. End of topic homework.   Progress test sat in early December. Spring - 1 Number: Learning to use a calculator well, thinking about accuracy and estimation. There will be an emphasis on using a calculator to solve multistep problems. Understanding measures and some compound measures such as speed and density. Algebra:  Forming and solving equations and inequalities. End of topic homework. Spring - 2 Data Handling: Analysing data, presented in a variety of ways, using averages and range. Geometry: Perimeter and area of 2D shapes, including triangles, parallelograms, trapezia and circles.  Some groups will also focus on volumes and surface area of prisms. End of topic homework. Progress test sat in late March Summer - 1 Number: Fractions, decimals and percentages. Working with fractions, performing operations with them and working out reciprocals. Working with percentages to look at how percentage increase and decrease can affect amounts.  Solving problems involving ratio and proportion. Algebra: Different groups will look at different difficulties of sequences from linear and geometric to basic quadratic.  Using graphs to investigate straight lines.  Some groups will also look at real-life graphs. End of topic homework. Summer - 2 Data Handling: Experimental probability and theoretical probability. Looking at compound events and how to display information, including using sample space diagrams. Geometry:  A range of different topics depending on the level of the pupils including understanding similarity and congruency, carrying out transformations of shapes and investigating scale drawings. End of topic homework. Progress test sat in late June.

#### Yr 9 Programme of Study

 Half term Topics studied; skills and knowledge How this will be assessed Autumn - 1 Number: Working with decimals, negative numbers, indices, standard form and prime factors. Algebra: Expressions and manipulating algebra including substituting into expressions; expanding brackets; working with indices and at the higher end, starting to look at quadratic equations. End of topic homework. Autumn - 2 Data Handling: Representing data using a variety of graphs suitable to the level of the pupils – two-way tables, pie charts, scatter graphs or stem and leaf diagrams leading into bar charts. Geometry: Using angle facts and Pythagoras’ theorem to solve problems. Standard constructions and loci. Introduction to trigonometry for some. End of topic homework.   Progress test sat in early December. Spring - 1 Number: Learning to use a calculator well, thinking about accuracy and estimation and how to use a calculator to solve multi-step problems. Understanding measures and some compound measures such as speed, density and pressure. Practice of multiplication and division methods without a calculator. Algebra: Forming and solving equations and inequalities. End of topic homework Spring - 2 Data Handling: Analysing data, presented in a variety of ways, using averages and range. End of topic homework. Progress test sat in late March Summer - 1 Number: Calculations with fractions, decimals and percentages. Percentage amounts, increase and decrease including compound percentages. Solving problems involving ratio, direct and indirect proportion. Algebra: Different groups will look at different difficulties of sequences from linear and geometric to basic quadratic. Using graphs to investigate straight lines and tangents to curves. End of topic homework. Summer - 2 Data Handling: Experimental and theoretical probability. Looking at compound events and how to display information , including use of sample space diagrams, Venn diagrams, and probability trees. Geometry: A range of different topics depending on the level of the pupils including understanding similarity and congruency, carrying out transformations of shapes and investigating scale drawings. Some groups will also be introduced to vectors. End of topic homework. Progress test sat in late June.

#### Homework

Homework is set weekly and normally takes the form of assigned tasks from the HegartyMaths website.

#### Learning outside the classroom

Maths is everywhere in life.  Encourage your child to look for numerical patterns, or to apply their mathematical skills to the real world – working out the area of a room’s walls to calculate how much paint to buy, estimating the cost of a supermarket shop etc.

#### Parental support and extension

Extra mathematics support can be found on the HegartyMaths website or another excellent website is Corbettmaths. Both provide help videos and practise questions.

However also simply practising times tables is a really valuable activity and a more fun way to do this is to regularly use the website Times Table Rockstars. This site uses competitions and games to make the practise more enjoyable.

Please ensure your child arrives at school every day with the correct mathematical equipment. In addition to normal writing equipment, they will require a scientific calculator – we recommend a Casio FX-83 or FX-85. A protractor and pair of compasses would also be helpful.

## KS4 Mathematics

### AQA GCSE Mathematics (8300)

#### Overview of content

The course is studied at either Higher tier or Foundation tier level.

#### Programme of Study

 Year Half term Topics studied; skills and knowledge How this will be assessed 10 Autumn - 1 Calculations, expressions (algebra), angles and polygons Autumn - 2 Handling data, fractions, decimals and percentages Termly assessment Spring - 1 Formula and functions, 2D shapes Spring - 2 Probability, Measures and accuracy Termly assessment Summer - 1 Equations and inequalities, circles and construction Summer - 2 Ratio and proportion, factors powers and roots. End of Year assessment 11 Autumn - 1 Graphs, working in 3D. handling data 2, Autumn - 2 Calculations 2, Graphs 2, Pythagoras and Trigonometry, Mock Examination Spring - 1 Vectors, Probability 2 Spring - 2 Sequences, units and proportionality Termly assessment Summer - 1 Revision Summer - 2 Period of Formal Examinations

#### Homework

There are weekly homeworks consisting of either online work set on platforms such as www.HegartyMaths.com and www.DrFrostMaths.com, or written homeworks such as completing a past paper.

#### How it is assessed

GCSE Mathematics is assessed in both tiers using 3 papers each out of 80 marks and each lasting 90 minutes. One paper is non calculator and two calculator papers. Grades are awarding on the basis of the total score of the three papers. Each paper has equal weighting.

#### Learning outside the classroom

During the course of year 11, there are weekly support enrichment sessions targeted at both Foundation and Higher tier papers. We also encourage our pupils to do further work around taught topics using resources such as www.hegartymaths.com.

#### Parental support and extension

The most efficient way of revising for Mathematics is to work through past papers. Many past papers and their solutions can be found on the internet and I would recommend pupils attempt as many as possible, researching topics which they found difficult.