# Maths

### Department Staff

Mr M Johnston - Acting Subject Leader
Mr T Scott - Acting Second in Department
Miss V McKenna - Lead Practitioner
Mr D Roberts – numeracy coordinator
Miss H Aldridge
Mrs M Graham
Mr A Powell
Mrs K Stevenson
Miss C O'Boyle
Mrs E Goodchild (maternity leave)
Mr B Rigby-Beckett (paternity leave)

### Curriculum Intent

Mathematics has always been at the forefront of human culture and development. By building on pupils’ own experiences mathematics encourages growth of thinking, reasoning and communication skills. It provides a structure for the development of knowledge, skills and understanding required for life. Mathematics is essential to fill intellectual development and should be fun.

As a department we set high expectations for all of our students. At St. John Bosco’s we offer a variety of teaching and learning techniques to cater for the needs of every student and help to motivate them to learn, understand and enjoy maths.

From key stage 3 we build students interests and confidence in mathematics which prepares them for key stage 4 and 5 learning, and more importantly for a life time love of learning and use of maths in every day life. Fluency in mathematical key skills is fundamental and we strive to ensure that every student leaves school fully-equipped to enter the world of adult life.

### Key Stage 3

Year 7

Term 1a:

Analysing and Displaying Data
Mode, Median and Range, Displaying data, Grouping data, Averages and comparing data and Line graphs and more bar charts.

Number Skills
Mental Maths, Addition and Subtraction, Multiplication, Division , Money and Time, Negative Numbers and Factors, multiples and primes.

Assessment: Extended learning tasks and unit review

Term 1b:

Expressions, functions and formulae
Functions, Simplifying expressions, Writing Expressions, Substituting into formulae and Writing formulae

Decimals and Measures
Decimals and rounding, Length, mass and capacity, Scales and Measures, Working with decimals, Perimeter, Area and More units of measure

Assessment: Extended learning task and end of term assessment

Term 2a:

Fractions and Percentages
Comparing fractions, Simplifying fractions, Working with fractions, Fractions and decimals, Understanding percentages and Percentages of amounts

Probability
The language of probability, Calculating probability, Probability calculations, Experimental probability and Expected outcomes

Assessment: Extended learning tasks and unit review

Term 2b:

Ratio and Proportion
Direct Proportion, Writing Ratios, Using Ratios, Proportions and Fractions and Proportions and Percentages

Assessment: Extended learning task and end of term assessment

Term 3a:

Lines and Angles
Measuring and drawing angles, Lines, angles and triangles, Drawing triangles accurately, Calculating angles, Angles in triangle and Quadrilaterals

Sequences and Graphs
Sequences, Pattern sequences, Coordinates and midpoints, Extending Sequences, Straight-Line Graphs and Position-to-term rules

Assessment: Extended learning tasks and unit review

Term 3b:

Transformations
Congruency and Enlargements, Symmetry, Reflection, Rotation and Translations and combined transformations

Assessment: Extended learning task and end of term assessment

### Year 8

Term 1a:

Number
Calculations, Divisibility and division, Calculating with negative integers, Powers and Roots, Powers, Roots and Brackets, Multiples and Factors

Area and Volume
Area of a Triangles, Area of a parallelogram and Trapezium, Volume of cubes and cuboids, 2D representations of 3D solids, Surface Area of Cubes and Cuboids and Measures

Assessment: Extended learning tasks and unit review

Term 1b:

Statistics, Graphs and Charts
Pie Charts, Using Tables, Stem and Leaf Diagrams, Comparing Data, Scatter Graphs and Misleading Graphs

Expressions and Equations
Algebraic Powers, Expressions and Brackets, Factorising Expressions, One-Step Equations, Two-Step Equations and The Balancing Method

Assessment: Extended learning task and end of term assessment

Term 2a:

Real-Life Graphs
Conversion Graphs, Distance-Time Graphs, Line Graphs, More Line Graphs, Real-Life Graphs and Curved Graphs

Decimals and Ratio
Ordering Decimals and Rounding, Place-Value Calculations, Calculations with Decimals, Ratio and Proportion with Decimals

Assessment: Extended learning tasks and unit review

Term 2b:

Lines and Angles
Quadrilaterals, Alternate Angles and Proof, Angles in Parallel Lines, Exterior and Interior Angles and Solving Geometric Problems

Assessment: Extended learning tasks and end of term assessment

Term 3a:

Calculating with Fractions
Ordering Fractions, Adding and Subtracting Fractions, Multiplying Fractions, Diving Fractions and Calculating with Mixed Numbers

Straight-Line Graphs
Direct proportion Graphs, Gradients and Equations of Straight Lines

Assessment: Extended learning tasks and unit review

Term 3b:

Percentages, Decimals and Fractions
Fractions and Decimals, Equivalent Proportions, Writing Percentages and Percentages of Amounts

Assessment: Extended learning tasks and end of year Assessment

### Year 9

Term 1a:

Indices and Standard Form
Indices, Calculations and Estimates, More Indices and Standard Form

Equations and Formulae
Solving Equations, Substituting into Expressions, Writing and using Formulae, Using and Rearranging Formulae, Index Laws and Brackets and Expanding Double Brackets

Assessment: Extended learning tasks and unit review

Term 1b:

Dealing with Data
Planning a Survey, Collecting Data, Calculating Averages, Displaying and Analysing Data and Presenting and Comparing Data

Multiplicative Reasoning
Enlargement, Negative and Fractional Scale Factors, Percentage Change, Compound Measures, Direct and Inverse Proportion

Assessment: Extended learning tasks and end of term Assessment

Term 2a:

Constructions
Using Scales, Basic Constructions, Constructing Triangles and Using Accurate Scale Diagrams

Sequences, Inequalities, Equations and Proportion
Nth term of arithmetic sequences , Non-Linear Sequences, Inequalities, Solving Equations and Proportion

Assessment: Extended learning tasks and unit review

Term 2b:

Circles, Pythagoras and Prisms
Circumference of a Circle, Area of a Circle, Pythagoras' Theorem, Prisms and Cylinders and Errors and Bounds

Assessment: Extended learning tasks and end of term assessment

Term 3a:

Graphs
Using y = mx + c, More straight-line graphs, Simultaneous equations, Graphs of quadratic Functions and More non-linear graphs

Probability
Mutually Exclusive Events, Experimental and Theoretical Probability, Sample Space Diagrams, Two-Way Tables and Venn diagrams

Assessment: Extended learning tasks and unit review

Term 3b:

Comparing Shapes
Congruent and Similar Shapes, Ratios in Triangles, The tangent ratio, The sine ratio, The cosine ratio and Using Trigonometry to find angles

Assessment: Extended learning tasks and end of year Assessment

## Key Stage 4

### Year 10

Term 1a:

Integers and place value Decimals, Indices, powers and roots Algebra: the basics, Expressions and substitution into formulae.
Transformations, Constructions, loci and bearings, solving quadratic and simultaneous equations.

Assessment: Extended learning tasks and unit review

Term 1b:

Tables, charts and graphs. Pie charts, Scatter graphs
Inequalities, Probability, Multiplicative reasoning

Assessment: Extended learning tasks and end of term assessment

Term 2a:

Fractions, decimals and percentages, Percentages, Interior and exterior angles of polygons.
Ratio and proportion, Polygons, angles and parallel lines, Accuracy and bounds

Assessment: Extended learning tasks and unit review

Term 2b:

Ratio, Equations and inequalities, Sequences
Accuracy and bounds, Pythagoras’ Theorem and trigonometry, Graphs: the basic and real-life graphs.

Assessment: Extended learning tasks and end of term assessment

Term 3a:

Statistics, sampling and the averages. Properties of shapes, parallel lines and angle facts.
Linear graphs and coordinate geometry. Quadratic, cubic and other graphs.

Assessment: Extended learning tasks and unit review

Term 3b:
Perimeter, area and volume. Real-life graphs
Perimeter, area and circles, 3D forms and volume of cylinders, cones and spheres. Real-life graphs.

Assessment: Extended learning tasks and Mock Exams

Year 11

Term 1a:

Straight line graphs, Multiplicative reasoning.
Transformations. Constructions and loci, Solving quadratics. Simultaneous equations

Assessment: Extended learning tasks, unit review and baseline assessments

Term 1b:

Proportion, Right angles triangles: Pythagoras and trigonometry, Probability
Inequalities, Probability, Multiplicative reasoning

Assessment: Extended learning tasks, unit review and mock exams

Term 2a:

Plans and elevations, Constructions, loci and bearings. Indices and standard form.
Similarity and congruence in 2D and 3D. Graphs of trigonometric functions. Further trigonometry.

Assessment: Extended learning tasks and unit review

Term 2b:

Cumulative frequency, box plots and histograms, Quadratics, expanding more than two brackets, sketching Graphs, graphs of circles, cubes and quadratics.

Assessment: Extended learning tasks, unit review and mock exams

Term 3a:

Circles, Cylinders, Cones, Spheres
Circle theorems, Changing the subject of formulae

Assessment: Extended learning tasks, unit review and mock exams

Term 3b:

Assessment – GCSE examinations

## Key Stage 5

### Year 12

Term 1:

PURE
Algebraic expressions, Quadratics, Equations & inequalities, Graphs and Transformations, Straight line graphs, Circles, Algebraic methods, Binomial expansion

STATISTICS
Data collection, Measures of locations and spread, Representations of data

MECHANICS
Modelling, Constant acceleration

Term 2:

PURE
Trigonometric ratios, Trigonometric identities and equations, Vectors, Differentiations

STATISTICS
Correlation, Probability, Statistical distributions

MECHANICS
Forces and motion, Variable acceleration

Term 3:

PURE
Differentiation, Integration, Exponentials and logs

STATISTICS
Hypothesis testing

MECHANICS
Variable acceleration

Year 13

Term 1:

PURE
Algebraic methods, Functions and Graphs, Sequences and series, Binomial expansion, Trigonometric functions, Trigonometry and modelling, radians, Numerical Methods

STATISTICS
Regressions and correlation, Conditional probability

MECHANICS
Moments, Forces and Friction, Projectiles

Term 2:

PURE
Parametric equations, Numerical Methods, Differentiation, Integration, Vectors

STATISTICS
Conditional probability, Normal Distribution

MECHANICS
Application of forces, Further Kinematics

Term 3:

PURE
Integration, Vectors

STATISTICS
Normal distribution

MECHANICS
Further Kinematics

## Extra Curricular

Homework Club - Tuesday

Chess club - Thursday lunchtime

Problem Solving Club – Wednesday

Half termly revision sessions

Y11 tuition sessions

A Level booster sessions

UKMT Maths Challenges

Enrichment days - financial Maths and careers in Maths

## Department Courses

KS3: Schemes of work in line with the National Curriculum- Active Teach

KS4: GCSE Maths- Edexcel Exam Board

KS5: AS/A Level Maths- Edexcel Exam Board