### Introduction

W

The Department’s aim is to ensure that all students enjoy learning, make progress and achieve in mathematics.

The skills offered through the curriculum will enable learners:

- to apply their knowledge and understanding to everyday life
- to engage competently and confidently with others
- to solve problems in both familiar and unfamiliar situations
- to develop personally and professionally as positive citizens who can actively contribute to society

### Staff

#### Mr. David Casey

###### Subject Leader

#### Miss. Sam Beale

###### Assistant Subject Leader

#### Mrs. Jane Hannan

###### Teacher

#### Mr. Matthew Osmond

###### Teacher

#### Mrs. Stephanie Brown

###### Assistant Head Teacher

#### Mr. Kim Pickford

###### Teacher

#### Mrs. Gaby Hickman

###### Teacher

#### Mrs. Samantha Nagy

###### Teacher

#### Mrs. Jane Spendlove

###### Teacher

#### Mrs. Julie Harper

###### Teaching Assistant

### Maths Curriculum.

**Facilites on offer:**

7 specialist teaching rooms (1 double room seating 60) all interactive whiteboards and 5 extra student pc’s in each room

Activote handsets

30 laptops

Autumn | Spring | Summer |
---|---|---|

Mental and Written Calculations • Addition and subtraction of integers • Using calculators • Four rules of number with decimals | Fractions, Decimals and Percentages • Equivalent Fractions • Add and subtracting fractions • Fraction, Decimal and Percentage equivalence | Measures • Perimeter • Area • Volume |

Integers, powers and Roots • Positive and negative number • Types of numbers • Indices and powers | Ratio and Proportion • Proportions of quantities • Simplifying ratio • Proportional Change | Transformations / Vectors • Reflections • Rotations • Translations |

Place Value • Rounding and approximations • Decimals • Order of operations | Sequences and Graphs • Sequences • Nth term • Drawing linear graphs | Probability • Listing outcomes • Describing events • Sample Space |

Constructions • Properties of 2D and 3D shapes • Angles • Loci | Geometrical Reasoning • Angle properties of shapes • Parallel and perpendicular lines • Properties of polygons | Processing and Representing Data • Pictograms and bar charts • Frequency tables • Averages |

Expression and Equations • Using letters • Simplifying algebraic expressions • Using and constructing equations | Statistical Enquiry • Data Collection • Questionnaires • Data Analysis |

**Hours per week:**4 hours a week

Autumn | Spring | Summer |
---|---|---|

Mental and Written Calculations • BIDMAS • Working with Decimals • Percentages with and without the calculator | Fractions, Decimals and Percentages • Fractions to decimals • Equivalent fractions • Percentage change | Measures • Units • Bearing • Volume |

Integers, powers and Roots • Primes, factors and multiples • Using negative numbers • Squares, cubes and roots | Ratio and Proportion • Simplifying ratio • Sharing ratios • Direct proportion | Transformations / Vectors • Enlargements • Rotations / Reflections • Translations |

Place Value • Multiplying and dividing by powers of 10 • Ordering decimals • Checking calculations | Sequences and Graphs • Drawing linear graphs • Nth term • Conversion graphs | Probability • Probability of events happening • Experimental probabilities • Sample Space |

Constructions • Bisectors • Drawing and measuring accurately • Loci | Geometrical Reasoning • Angles in triangles and quadrilaterals • Properties of 2D shapes • Angles in polygons | Processing and Representing Data • Mean, mode and median • Pie charts • Scatter graphs |

Expression and Equations • Function machines • Simplifying algebraic expressions • Expanding brackets | Statistical Enquiry • Data Collection • Questionnaires • Continuous and discrete data |

**Hours per week:**4 hours a week

Autumn | Spring | Summer |
---|---|---|

Mental and Written Calculations • Approximating calculations • Working with powers • Four rules of number with fractions | Fractions, Decimals and Percentages • Simple algebraic fractions • Four rules of number with fractions • Fractions to percentages | Measures • Surface area • Area of a circle • Converting units of measure |

Integers, powers and Roots • HCF, LCM and prime factorisation • Estimation • Index notation | Ratio and Proportion • Comparing ratios • Ratio in context • Inverse proportion | Transformations / Vectors • Enlargements • Scale factors • Similarity |

Place Value • Multiplying and dividing by numbers between 0 and 1 • Decimal places and significant figures • Order of operations | Sequences and Graphs • Nth term • Straight line graphs • Distance – time graphs | Probability • Making predictions • Theoretical probabilities • Mutually exclusive events |

Constructions • Loci • Constructing triangles • Nets | Geometrical Reasoning • Nets • Angles and properties of quadrilaterals • Circle properties | Processing and Representing Data • Pie Charts • Stem and Leaf • Averages and their interpretation |

Expression and Equations • Trial and improvement • Change of subject • Substitution | Statistical Enquiry • Primary and secondary data • Comparing distributions • Forming hypotheses |

**Hours per week:**4 hours a week

Autumn | Spring | Summer |
---|---|---|

Mental and Written Calculations • Calculating with standard form • Four rules of number with fractions • Calculator keys | Fractions, Decimals and Percentages • Recurring decimals • Percentage change • F, D, P equivalence | Measures • Arcs and sectors • Compound measures • Cylinders |

Integers, powers and Roots • Index notation • Prime factor decomposition • Negative and fractional powers | Ratio and Proportion • Inverse proportion • Percentage change • Proportional change | Transformations / Vectors • Congruence • Combining transformations • Similarity |

Place Value • Standard Form • Reciprocals • Estimating and approximating | Sequences and Graphs • Linear and quadratic sequences • Real life graphs • Generating sequences | Probability • Relative frequency • AND / OR rules • Tree diagrams |

Constructions • Nets • Congruence • Loci | Geometrical Reasoning • Maps and scale • Pythagoras • Circle theorems | Processing and Representing Data • Cumulative frequency graphs • Quartiles • Box Plots |

Expression and Equations • Linear inequalities • Expanding brackets • Solving equations | Statistical Enquiry • Hypothesis testing • Bias • Sampling |

**Hours per week:**3.5 hours a week

Autumn | Spring | Summer |
---|---|---|

Mental and Written Calculations • Calculating with standard form • Four rules of number with fractions • Calculator keys | Fractions, Decimals and Percentages • Algebraic fractions • Recurring decimals to fractions • Simple and compound interest | Measures • Pyramids and comes • Arcs and sectors • Dimensions of formulae |

Integers, powers and Roots • Index notation • Laws of indices • Inverse operations | Ratio and Proportion • Inverse proportion • Growth and decay • Graphical representation | Transformations / Vectors • Vectors • Fractional scale factors • Combing transformations |

Place Value • Standard form • Upper and lower bounds • Decimal places and significant figures | Sequences and Graphs • Real life graphs • Trigonometric graphs • Quadratic sequences | Probability • Averages and spread • Line of best fit • Histograms |

Constructions • Loci • Congruence • Triangle proof | Geometrical Reasoning • Pythagoras • Trigonometry • Circle Theorems | Processing and Representing Data • Averages and spread • Line of best fit • Histograms |

Expression and Equations • Quadratic equations • Simultaneous equations • Proof | Statistical Enquiry • Hypothesis testing • Populations • Sampling |

**Hours per week:**3.5 hours a week

### Spiritual, Moral, Social and Cultural Development

Through various projects, mini investigations and activities built into lessons, SMSC is being delivered in high quality, engaging lessons.

Within the classroom environment, there are opportunities for pair and group seating, which aids the development of the social aspect of SMSC.

Outside of the classroom, SMSC exists with Mathematics by:

- Years 7 and 8 can partake in the UMKT maths challenges
- STEM activity days – looking at where maths can be applied in the real world
- Various maths clubs – socialising and competing with pupils of various backgrounds, cultures and potentially other schools

### Spiritual Development

Within Mathematics lessons we aim to develop deep thinking and questioning the way in which the world promotes the spiritual growth of pupils. In lessons, pupils are always encouraged to delve deeper into their understanding of Mathematics and how it relates to the world around them. Through all Key Stages, the skills of analysing data are taught to enable pupils to question, interpret and understand the vast amounts of data available in the modern world. Throughout Key stage 4, pupils are able to extend this knowledge through the study of algebra, statistics, sequences, patterns, measures and ultimately the entire study of Mathematics. Mathematics was created to make more sense of the world around us and we enable each of our pupils to use Maths as a tool to explore the world more fully.Examples include:

• Pupils considering the development of pattern in different cultures including work on tessellations such as Rangoli designs

• Fibonacci sequences and how they link into nature### Moral Development

The moral development of pupils is an important thread running through the entire Mathematics syllabus. In Years 7 and 8, pupils spend time at the end of each term working on various projects showing where the Maths they have learnt that term is applied in the real world. Projects include• Designing theme parks

• Data analysis of the average student

• Home renovations### Social Development

Problem solving skills and teamwork are fundamental to Mathematics, through creative thinking, discussion, explaining and presenting ideas. Pupils are actively encourages to develop their Mathematical reasoning skills, communicating with others and explaining concepts to each other. Self and peer reviewing are very important to enable pupils to have an accurate grasp on where they are now and how they need to improve. Working in pairs or groups and supporting each other is a key part of Mathematics lessons.Examples of social lessons in maths include:

• Allowing discussion and debate on the use and abuse of statistics in the media

• Revision days

• Investigations through teaching of questionnaires

• Collaborative learning through Maths projects### Cultural Development

Mathematics is a universal language with a myriad of cultural inputs through the ages. At HLC we encourage the teaching of various approaches to Mathematics including the Chinese lattice method for multiplication. We also explore the Mathematics applied in different cultures such as Rangoli patterns, symmetry, tessellations and Islamic geometric patterns. The ability to use exchange rates for foreign travel and the calculations of VAT are also important life skills pupils will be taught.Examples of cultural development in maths include:

• Pupils investigating the different number sequences and where they occur in the real world

• Allowing discussions on the cultural and historical roots of mathematics, such as Pythagoras’ theorem

• Pupils discussing the use of Mathematics in cultural symbols and patterns

### Enrichment Opportunities:

- Maths STEM computing club
- UKMC entries each year
- Jaguar Cars club