﻿ Mathematics - Subjects - Wilmington Grammar School for Boys

# Mathematics

All students follow the same course and are assessed in the following main topic areas:

• Number
• Algebra
• Shape, Space and Measures
• Handling Data

Students are assessed at the beginning of Year 7 and this forms one of the five major assessments that take place over Years 7 & 8. These assessments allow the department to closely monitor the progress of students.

In addition to these assessments there are a further five Core Assessments. These assessments link to follow on Even Better If (EBI) tasks which are designed to ensure that students work on their areas of weakness. This progress on what was not fully understood in the core assessment is of great importance and is factored into the homework that is set.

Homework is set twice per week (although this may be organised as one longer homework). Students should be doing approximately one hour of Mathematics as homework per week.

Students are taught in their form groups.

### Year 7

Year 7

 Term Topic Learning Outcomes 1 Number Skills               Algebra Operations with directed (negative and positive) numbers Order of operations Multiplying and dividing numbers using non-calculator strategies Compare and simplify fractions Writing a number as a fraction of another Comparing decimals   Collecting like terms Substitution into expressions Writing expressions Solving one step linear equations 2 Sequences     Number Theory   Area and Perimeter Pattern recognition in different types of sequences Finding the nth term of an arithmetic sequence   Prime factors, HCF and LCM   Including circles and compound shapes Arc lengths and sector areas 3 Fractions, Decimals, and Percentages Operations (addition, subtraction, multiplication and division) with proper fractions, improper fractions and mixed numbers. Decimal operations using non-calculator and calculator-based techniques. Converting between fractions, decimals and percentages Calculating percent of a number Using multipliers to calculate percent increase and decrease Reverse percentages Compound interest 4 Angle geometry         Algebraic Expressions and Equations Angles on a straight line Angles rules on a transversal Interior and exterior angles Simple geometric proof   Expanding single bracket expressions Solving multi step linear equations Problem solving by setting up and solving linear equations 5 Data Handling     Rounding and Approximation   Pythagoras Pie charts, bar charts, frequency polygons, averages, measures of spread, grouped data   Rounding, significant figures, estimating calculations     Using Pythagoras to solve for unknown sides 6 Ratios       Transformations of Shapes   3D Shapes Simplifying, converting to fractions, and sharing into ratios Maps and scale drawings       Translations, reflections, rotations   Volumes of cuboids, prims, cylinders and pyramids Plans and elevation

### Year 8

Year 8

 Term Topic Learning Outcomes 1 Number Skills   Algebraic Expressions and Equations           Geometry Recap of operations with directed (negative and positive) numbers   Simplifying expressions Substitution into expressions Expanding single bracket and introduction to double bracket expressions Solving multi-step linear equations Forming and solving equations Rearranging formulae   Constructions (no Loci) Recap of angles properties Properties of 2D shapes 2 Straight Line Graphs         Probability Plotting using a table of values Gradients and intercepts of lines Finding the equation of a line Parallel and perpendicular lines   The counting principle Sample spaces, mutually exclusive events, relative frequency 3 Data Handling Types of sampling and bias Scatter graphs and correlations Quartiles, IQR, measures of spread Box plots and cumulative frequency Grouped data 4 Indices         Measurement Index rules Negative indices Standard Form Square and cube roots in index form   Metric unit conversions for length, area and volume Compound measures 5 Algebraic Expressions and Equations Expanding double and triple bracket expressions Difference of two squares Factorising by finding the HCF and basic quadratic expressions Solving linear equations with fractions Simplifying algebraic fractions 6 Bearings   Sets and Set Notation   Bounds Drawing and calculating bearings using angle facts   Unions, intersections, compliments using Venn diagrams   Finding upper and lower bounds and using them in calculations

### Year 9

Year 9

 Term Topic Learning Outcomes 1 Number Skills   Proportions   Algebra and Sequences Recap of operations with directed (negative and positive) numbers   Perform simple numerical direct and inverse proportion calculations   Solve multi-step linear equations Solving simultaneous equations algebraically using substitution and elimination Problem solving using equations Finding the nth term of linear and quadratic sequences Recognising geometric progressions, Fibonacci sequences and triangular numbers Factorising expressions using a variety of techniques 2 Indices   Triangle Geometry       Number Skills Index rules (including negative and fractional indices)   Similarity and similar triangles Pythagoras Using trigonometric ratios to find unknown angles and side lengths   Converting between recurring decimals and fractions 3 Transformations   Surds     Algebra Translations, rotations, reflections and enlargements of shapes   Operations with surds Rationalising the denominator   Solving quadratic equations by factorising 4 Geometry and Measurement       Algebra Plans and elevations Constructions and loci Scale drawings and bearings Unit conversion of metric units   Solving linear inequalities Drawing inequalities on a number line 5 Number Skills     Circle Geometry     Probability and Sets Using multipliers to compound percent changes Reverse percentages   Understand and apply circle theorems Finding arc lengths and sector areas   Using Venn diagrams and set notation Understanding mutually exclusive events Understanding difference between independent and dependent events Using Tree diagrams and two-way tables Calculating relative frequency and expected values 6 Algebra Solve quadratic equations using the quadratic formula Complete the square and apply to solving equations Sketching quadratic graphs

### Years 10 & 11

Year 10

 Term Topic Learning Outcomes 1 Number Skills         Geometry   Algebra Recap of operations with directed (negative and positive) numbers Recap of fraction operations and index rules Change of base Standard form calculations   Understand and apply circle theorems   Changing the subject of a formula 2 Algebra   Trigonometry Straight line graphs and coordinate geometry   Recap of Pythagoras Using trigonometric ratios to find unknown angles and side lengths Sine Rule, Cosine Rule Areas of triangles (including sectors)a 3D trigonometry Solving problems with bearing Exact trig values 3 Data Handling       Algebra Charts and averages Grouped data Histograms   Solving quadratic equations Completing the square to find turning points and solve equations Key features of quadratic graphs 4 Algebra Direct and inverse proportion Equation of a circle graph Solving non-linear simultaneous equations algebraically and by graphing 5 Number   Geometry     Algebra Bounds, error intervals, truncation   Volume and surface areas of 3D objects including cones and spheres Volume and area scale factors   Finding the equations of tangents to circles 6 Algebra Linear inequalities Finding regions using inequalities Solving quadratic inequalities Iterations Intro to Functions

Year 11

 Term Topic Learning Outcomes 1 Number Skills   Algebra Fraction operation recap   Operations with algebraic fractions Function notation, composite functions, inverse functions Properties of exponential functions and reciprocal functions Graph transformations Solving equations by graphing 2 Geometry   Number     Probability and Sets Vectors   Iteration Counting principle   Using Venn diagrams and set notation Understanding mutually exclusive events Understanding difference between independent and dependent events Using Tree diagrams and two-way tables Calculating relative frequency and expected values 3 Measurement and Rates   Algebra Compound measures and rates of flow     Estimating rates of change Estimating area under graphs Algebraic proof 4 Geometry   Number     Algebra Congruency, similarity and geometric proof   Prime factors, number properties using prime factors, HCF, LCM using prime factors   Arithmetic, geometric, and quadratic progressions Fibonacci sequence 5 Revision 6

Year 12