### Number and Integers Numbers Mental Strategies for Addition Mental Strategies for Subtraction Number Properties Order of Operations I Order of Operations II The Square Root The Cube Root Prime Factor Decomposition HCF using Factor Trees LCM using Factor Trees Integers Using the Number Line Addition and Subtraction Multiplication Division Order of Operations with Integers The Calculator Using the Calculator I Using the Calculator II Using the Calculator III The Number Plane Identifying Plotted Points Plotting Points Straight Line Graphs using Tables Completing Number Patterns I Completing Number Patterns II Identifying Number Patterns I Identifying Number Patterns II Identifying Number Patterns III The Gradient of a Straight Line The Equation of a Straight Line Graphing Straight Lines Using X and Y Intercepts

### Fractions and Decimals

 Fractions Equivalent Fractions Simplifying Fractions Addition with Equal Denominators Subtraction with Equal Denominators Addition with Different Denominators Subtraction with Different Denominators Addition with Mixed Numerals Subtraction with Mixed Numerals Multiplication Division Multiplication and Division of Mixed Numerals Fractions of Whole Numbers Quantities as Fractions of Others Decimals Comparing Size Converting Fractions to Decimals I Converting Fractions to Decimals II Addition of Decimals Subtraction of Decimals Multiplication and Division by 10, 100, etc. Multiplication by a Decimal Division by a Decimal Rounding Off Decimals

### Percentages, Ratio and Rates

 Percentages Percentages as Fractions Percentages as Fractions (using calculator) Percentages as Decimals Percentages as Decimals (using calculator) Fractions and Decimals as Percentages Fractions and Decimals as Percentages (using calculator) Percentages of Quantities Percentages of Quantities (using calculator) Increasing by a Percentage Decreasing by a Percentage Quantities as Percentages of Others (using calculator) Finding a Number Given a Percentage (Unitary Method) Discounts Profits and Loss Best Buys Ratio Simplifying I Simplifying II Short Stories Dividing Quantities in a Given Ratio Equivalent Ratios Problem Questions Using Scale Rates Simplifying Rates Rate Problems I Rate Problems II Converting Rates Problem Solving using Rates Calculating Distance Calculating Time Calculating Speed

### Algebra I and Algebra II Algebra I Substitution I Substitution II Generalised Arithmetic Like Terms Addition and Subtraction I Addition and Subtraction II Multiplication Division Algebraic Fractions: Addition and Subtraction Algebraic Fractions: Multiplication Algebraic Fractions: Division Multiplication with Powers (Indices) Division with Powers (Indices) Raising Powers (Indices) Algebra II Grouping Symbols I Grouping Symbols II Grouping Symbols III Grouping Symbols IV Grouping Symbols V Factorisation by a Common Factor The Nth Term of a Sequence Binomial Expansions Perfect Squares Difference of Two Squares

### Problem Solving and Equations Problem Solving Simpler Number Problems The Unitary Method Guess and Check Using a Diagram Making a List Looking for Patterns Solving a Simpler Problem First Working Backwards Acting It Out Eliminating Possibilities Equations Understanding Equations One-Step Equations Involving Addition and Subtraction One-Step Equations Involving Division One-Step Equations Involving Multiplication Two-Step Equations Equations with Brackets II Equations with Brackets III Equations Involving Fractions I Equations Involving Fractions II Pronumerals (Variables) on Both Sides Equations Involving Substitution Changing the Subject Solving Problems using Equations Inequalities (Inequations)

### Measurement and Geometry I Geometry Angles - Types and Labelling Angles on a Straight Line Vertically Opposite Angles and Angles at a Point Parallel Lines Angle Sum of a Triangle Exterior Angle of a Triangle Mixed Examples on Angles Reasoning in Geometry Special Triangles Types of Quadrilaterals Angle Sum of a Polygon Constructing Triangles and Other Polygons Constructing Regular Polygons Solids Faces, Vertices and Edges Measurement and The Circle Length Conversion II Perimeter I Perimeter II The Parts of a Circle Circumference of a Circle Perimeter of a Sector Pythagoras Theorem Finding the Hypotenuse I Finding the Hypotenuse II Finding a Shorter Side Composite Shapes I Composite Shapes II Problem Questions Pythagorean Triads Measurement and Time Time Conversions 24 Hour Time Time Differences

### Measurement and Geometry II

 Area: Polygons and Circles Area of Rectangles and Squares Area of Triangles Area of Composite Shapes I Area of Composite Shapes II Area of Parallelograms Area of Rhombuses and Kites Area of Trapeziums Area of a Circle Area of a Sector Surface Area of Rectangular Prisms Surface Area of Triangular Prisms Volume and Capacity Volume of Prisms Composite Prisms Volume of a Cylinder Capacity Transformations and Congruence Transformations: Reflections Transformations: Translations Transformations: Rotations Rotational Symmetry Test for Congruent Triangles Congruence Proofs Using SSS Congruence Proofs Using AAS Congruence Proofs Using SAS Congruence Proofs Using RHS Deductions using Congruent Triangles I Deductions using Congruent Triangles II Deductions using Congruent Triangles III Similar Figures Similar Triangles I Similar Triangles II

### Statistics and Probability Statistics Column Graphs Pie Graphs Line Graphs Step Graphs Frequency Distribution Tables The Median The Mean Finding the Mean from a Table Finding the Median from a Table Frequency Histograms and Polygons Box and Whisker Plots Sampling Techniques Probability Probability Basics Making a List Tree Diagrams Experimental Probability