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**Mathematics**

## Mathematics

The Mathematics department of Archbishop Lanfranc Academy believes that Maths is Life. Pupils are challenged to learn mathematical skills and content and apply these in solving real life mathematical problems. Both Years 7 and 8 will complete the same units of work but at varying degrees of challenge and depth. Pupils in Year 9 begin the Key stage 4 curriculum by following either the higher or foundation tier.

__Assessment__

Learners are given the opportunity to consolidate their understanding by a rigorous system of Assessment for Learning which includes set tasks and end of unit’s tests. This ensures that every learner is secured in their understanding of each topic and interventions are rightly targeted. Homework are set regularly both on line and on paper which is an essential part of the monitoring and tracking of progress of the learners.

__GCSE Examination Board:__ Edexcel Examination Board

__Suggested support at home Texts__: Edexcel GCSE 9-1 Maths (Higher and Foundation)

**Websites:**

__Content and Skills__

**Overview of the course **

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

** ****Key stage 3 Mathematics Curriculum:**

**Year 7 **

__Autumn Term__

- Numbers: Whole numbers and decimals
- Geometry and Measures : Measures, perimeter and area
- Algebra: Expressions and formulae
- Numbers: Fractions, decimals and percentages
- Geometry and Measures: Angles and 2D shapes
- Algebra: Graphs

__Spring Term__

- Numbers: Adding and subtracting
- Statistics & Probability : Statistics
- Geometry and Measures: Transformations and symmetry
- Algebra; Equations
- Numbers: Factors and multiples
- Geometry and Measures : Constructions and 3D shapes

__Summer Term__

- Algebra : Sequences
- Numbers: Multiplying and dividing
- Ratio, Proportion and Rate of change: Ratio and proportion
- Statistics & Probability : Probability
- Project: Everyday Mathematics

** ****Year 8**

__Autumn Term__

- Numbers: Whole numbers and decimals
- Geometry and Measures : Measures, perimeter and area
- Algebra: Expressions and formulae
- Numbers: Fractions, decimals and percentages
- Geometry and Measures: Angles and 2D shapes
- Algebra: Graphs

__Spring Term__

- Numbers: Adding and subtracting
- Statistics & Probability : Statistics
- Geometry and Measures: Transformations and symmetry
- Algebra; Equations
- Numbers: Factors and multiples
- Geometry and Measures : Constructions and 3D shapes

__Summer Term__

- Algebra : Sequences
- Numbers: Multiplying and dividing
- Ratio, Proportion and Rate of change: Ratio and proportion
- Statistics & Probability : Probability
- Project: Everyday Mathematics

** ****Overview of assessment**

The qualification consists of three equally-weighted written examination papers at either Foundation tier or Higher tier at the end of year 11.

- All three papers are at the same tier of entry and completed in the same assessment series.
- Paper 1 is a non-calculator assessment and a calculator is allowed for Paper 2 and Paper 3.
- Each paper is 1 hour and 30 minutes long and allotted 80 marks each.
- The content outlined for each tier will be assessed across all three papers.
- Each paper has a range of question types; some questions will be set in both mathematical and non-mathematical contexts.
- The qualification is graded and certificated on a nine-grade scale from 9 to 1 using the total mark across all three papers where 9 is the highest grade.
- Foundation tier: grades 1 to 5.
- Higher tier: grades 4 to 9 (grade 3 allowed).

__Tier Topic area Weighting__

Number Algebra Ratio, Proportion and Rate of change Geometry and Measures Statistics & Probability
Number Algebra Ratio, Proportion and Rate of change Geometry and Measures Statistics & Probability | 22 – 28% 17 – 23% 22 – 28% 12 – 18% 12 – 18% 12 – 18% 27 – 33% 17 – 23% 17 – 23% 12 – 18% |

**Year 9 Higher Tier Curriculum**

| a | Calculations, checking and rounding |

b | Indices, roots, reciprocals and hierarchy of operations | |

c | Factors, multiples and primes | |

d | Standard form and surds | |

Algebra 1 | a | Algebra: the basics |

b | Setting up, rearranging and solving equations | |

c | Sequences |

__Autumn Term__

Statistics 1 | a | Averages and range |

| b | Representing and interpreting data |

c | Scatter graphs | |

d | Ratio and proportion | |

Geometry 1 | a | Polygons, angles and parallel lines |

b | Pythagoras’ Theorem and trigonometry |

__Spring Term__

Geometry 1 | a | Polygons, angles and parallel lines |

b | Pythagoras’ Theorem and trigonometry | |

Algebra 2 | a | Graphs: the basics and real-life graphs |

b | Linear graphs and coordinate geometry | |

c | Quadratic, cubic and other graphs | |

| d | END OF YEAR 9 EXAMINATION |

__Summer Term__

** ****Y10 ****Higher Tier Curriculum**

Geometry 2 | a | Perimeter, area and 3D forms & volume |

b | Circles, cylinders, cones and spheres | |

c | Accuracy and bounds | |

Geometry & Measures | a | Transformations |

b | Constructions, loci and bearings | |

Algebra 3 | a | Solving quadratic and simultaneous equations |

b | Inequalities |

__Autumn Term__

Probability 1 | Probability | |

RPR 2 | Multiplicative reasoning |

__Spring Term__

Measures 2 | Similarity and congruence in 2D and 3D | |

Geometry 3 | a | Graphs of trigonometric functions |

b | Further trigonometry | |

| END OF YEAR 10 EXAMINATION |

__ Summer Term__

**Y11 ****Higher Tier Curriculum**

| a | Collecting data |

b | Cumulative frequency, box plots and histograms | |

Algebra 4 | Quadratics, expanding more than two brackets, sketching graphs, graphs of circles, cubes and quadratics | |

Geometry 4 | a | Circle theorems |

b | Circle geometry |

__Autumn Term__

Algebra 5 |
| Changing the subject of formulae (more complex), algebraic fractions, solving equations arising from algebraic fractions, rationalising surds, proof |

Geometry 5 | Vectors and geometric proof | |

Direct and inverse proportion |

__Spring Term __

Algebra 6 | Reciprocal and exponential graphs; Gradient and area under graphs | |

| Revision and Past Papers | |

| GCSE Examination |

__Summer Term__

**Year 9 Foundation Tier Curriculum**

| a | Integers and place value |

b | Decimals | |

c | Indices, powers and roots | |

d | Factors, multiples and primes | |

Algebra 1 | a | Algebra: the basics |

b | Expanding and factorising single brackets | |

c | Expressions and substitution into formulae |

__Autumn Term__

Statistics 1 | a | Tables |

b | Charts and graphs | |

c | Pie charts | |

d | Scatter graphs | |

RPR 1 | Fractions, decimals and percentages |

__Spring Term __

Algebra 2 | a | Equations |

b | Inequalities | |

c | Sequences | |

Geometry & Measure 1 | a | Angles, lines and symmetry |

b | Polygons and parallel lines | |

c | Interior and exterior angles of polygons |

__Summer Term__

**Year 10 Foundation Tier Curriculum**

Statistics 2 | a | The averages |

b | Statistics and questionnaires | |

Geometry & Measure 2 | a | Perimeter and area |

b | 3D forms and volume | |

Algebra 3 | a | Real-life graphs |

b | Straight-line graphs |

__Autumn Term__

__Spring Term __

Geometry & Measures 3 | Transformations | |

RPR 2 | Ratio & Proportion | |

Geometry 1 | Right-angled triangles: Pythagoras and trigonometry |

__Summer Term__

Probability | Probability I & II | |

RPR 3 | Multiplicative reasoning |

**Year 11 Foundation Tier Curriculum**

Autumn Term

Geometry & Measures 4 | a | Plans, elevations and nets |

b | Constructions, loci and bearings | |

Algebra 4 | Quadratic equations: expanding and factorising | |

Quadratic equations: graphs | ||

Geometry & Measures 5 | Circles, cylinders, cones and spheres |

Spring Term

Number 2 | a | Fractions and reciprocals |

b | Indices and standard form | |

Geometry 2 | a | Similarity and congruence in 2D |

b | Vectors |

Summer Term

Algebra 7 | Rearranging equations, graphs of cubic and reciprocal functions and simultaneous equations | |

| Revision and Past Papers | |

| GCSE Examination |