A year 11 unit of work covering the following topics. (1) Relative Frequency: Revision. Relative Frequency. (2) Combined Events: Independent events. Dependent events. Mutually exclusive events. Venn diagrams. Sample space diagrams and dependent events. (3) Tree Diagrams: Displaying combinations of two or more events. Independent events. Dependent events.

A year 10 unit of work covering the following topics: (1) Questionnaires: Designing questionnaires. Criticising questions. Hypotheses. (2) Sampling: Simple random sampling. Systematic sampling. Stratified sampling. (3) Frequency Polygons: Drawing frequency polygons. Interpreting frequency polygons. (4) Box and Whisker Diagrams: Drawing box and whisker diagrams. The connection between box and whisker diagrams and cumulative frequency diagrams. (5) Comparing Averages: Revising averages. Choosing the most appropriate average. Comparing averages.

A year 9 unit of work containing the following topics. (1) The Median: Calculating the median. Calculating the median from a table. Comparing two distributions. (2) The Median Class: Finding the median class or the estimate for the median. (3) The Interquartile Range: Calculating the interquartile range of a set of data. (4) Cumulative Frequency Diagrams: Cumulative frequency tables. Drawing a cumulative frequency diagram. Estimating the median and the interquartile range. (5) Scatter Diagrams: Drawing a scatter diagram. Types of correlation. Line of best fit. (6) Probability as a Fraction Writing the probability of an event as a fraction. The probability that an event will not happen. Sample space diagrams. Expected frequency.

A year 9 unit of work on the following topics: (1) Gradient of a Line: Measuring and finding the gradient of straight lines. (2) Straight Line Graphs: Vertical lines of the form 𝑥 = 𝑎. Horizontal lines of the form 𝑦 = 𝑏. General lines of the form 𝑦 = 𝑚𝑥 + 𝑐. Solving simultaneous equations graphically. (3) The Gradient of Parallel and Perpendicular Lines: The gradient of parallel lines. The gradient of perpendicular lines. (4) Transformations: Reflection: Reflecting shapes in lines of the form 𝑥 = 𝑎 and 𝑦 = 𝑏. Reflecting shapes in lines of the form 𝑦 = 𝑚𝑥 + 𝑐.

A year 10 unit of work covering the following topics. (1) Solids: Volume and surface area of a cuboid. Volume of a prism. Volume and surface area of a cylinder. Volume of a pyramid. Surface area of a cone. Volume and surface area of a sphere. (2) Dimensions: Length, area and volume. Nonsensical formulae. (3) Composite Solids: Volume of composite solids. Frustum of a cone. Hemisphere. (4) Similar Shapes: Calculating the scale factor. Calculating missing lengths. Similar or not? Similar triangles. Scale factor for length, area and volume. Using similar triangles to calculate the volume of a frustum of a cone. (5) Pythagoras’ Theorem (3-D): Calculating lengths in three-dimensional shapes.

A year 8 unit of work containing the following topics. (1) Measures: Measures of Length, Mass and Volume. Reading scales. Conversion graphs. (2) Quadrilaterals: Square; Rectangle; Parallelogram; Rhombus; Trapezium; Kite; Arrowhead. Angles in a quadrilateral. (3) Perimeter and Area: Perimeter of shapes. Area of triangles. Area of quadrilaterals. Estimating the area of irregular shapes. (4) Solids: Names of solids. Nets of solids. Volume of a cuboid.

A year 11 unit of work covering the following topics: (1) Transformations of Functions: Function notation. Translation. Stretching. Reflection. (2) Pre-Calculus: Tangent to a function. Travel graphs. Displacement, Velocity and Acceleration. The area between a graph and the 𝒙–axis. The Trapezium Rule. (3) Further Changing the Subject: Revision of previous work. Changing the subject where the subject appears more than once. (4) The Quadratic Formula: Solving quadratic equations. Solving problems. (5) Algebraic Fractions: Numerical fractions. Algebraic fractions. Solving equations involving algebraic fractions.

A year 9 unit of work containing the following topics. (1) Rounding Off: Significant Figures: Rounding a number off to a specified number of significant figures. Labelling the significant figures of a number. (2) Estimation: Estimating the answer to calculations. (3) Compound Interest: Revising simple interest. The compound interest method of borrowing and investing money. (4) Foreign Money: Exchange rates. Exchanging money. (5) Household Bills: Electricity; gas; water; sewerage and mobile phone bills.

A year 9 unit of work covering the following topics. (1) Introducing Bar Modelling: Addition and subtraction. Problem solving. (2) Ratios: Sharing in a given ratio. Equivalent ratios. Simplifying a ratio. Comparing ratios 1. The unitary method. Comparing ratios 2. Map work. (3) Fractions: Fraction of a shape. Calculating a fraction of a number. Fractions as numbers. Comparing fractions 1. Mixed numbers and improper fractions. Addition and subtraction of fractions with equal denominators. Equivalent fractions. Comparing fractions 2. Simplifying fractions. Addition and subtraction of fractions with different denominators. Multiplying fractions. Dividing fractions. Calculations with mixed numbers. Fractions on a calculator. (4) Reciprocals: Reciprocal of a whole number. Reciprocal of a fraction. Reciprocal of a mixed number.

A year 9 unit of work covering the following topics: (1) Linear Nth Term: Terms of a sequence. Finding the 𝑛th term. Finding the position of a term. (2) Expanding Brackets: Expanding numerical sums. Multiplying algebraic terms. Expanding algebraic expressions. Expanding and simplifying. (3) FOIL: Expanding a double bracket. Expanding and simplifying a double bracket. FOIL with more than one variable. Brackets containing more than two terms. (4) Solving Equations 2: Revision of year 8 work on solving equations. Solving equations containing brackets. Solving equations where a double bracket is equal to zero. Equations containing fractions. Equations containing more than one fraction. (5) Trial and Improvement: Solving equations using trial and improvement (to the nearest unit; to one decimal place; to two decimal places). Using the table mode on a calculator.

A year 11 unit of work covering the following topics. (1) Congruent Shapes: Recognising congruent shapes. Congruent triangles proofs. (2) Angles in Polygons: The interior angles of a polygon. The exterior angles of a polygon. Tessellations. (3) Circle Theorems: Intermediate tier circle theorems. Higher tier circle theorems. (4) Transformations: Translation. Rotation. Reflection. Enlargement. Combinations.

A year 9 unit of work covering the following topics. (1) Circle Terminology: Parts of a circle. (2) Circumference and Area of a Circle: Finding 𝜋. Calculating the circumference of a circle. Calculating the area of a circle. Finding the radius from the area. (3) Shapes on Isometric Paper: Drawing shapes on isometric paper. (4) Plans and Elevations: Drawing solids from different plans and elevations. (5) Pythagoras’ Theorem (2-D): The hypotenuse of a right-angled triangle. Pythagoras’ Theorem. Pythagorean Triples. Proving whether or not a triangle is right-angled. (6) Scale Drawings: Creating a scale drawing. Interpreting a scale drawing.

A year 11 unit of work covering the following topics: (1) 3–D Trigonometry: 2–D Trigonometry (Revision). 3–D Trigonometry. (2) The Sine Rule, The Cosine Rule: The Sine Rule. The Cosine Rule. Sine Rule or Cosine Rule? (3) Area of a Triangle: Calculating the area of a triangle. (4) Trigonometric Graphs: The unit circle. Trigonometric graphs. Solving trigonometric equations. Function transformations.

A year 11 unit of work covering the following topics. (1) Direct and Inverse Proportion: Direct Proportion. Inverse Proportion. More than one Proportion. Proportion Graphs. (2) Proportion Equations: Direct Proportion. Inverse Proportion. Finding Proportion Equations. (3) Quadratic Nth Term Linear Nth Term. The First Difference. Simple Quadratic Sequences. More Complex Quadratic Sequences. (4) Inequalities: Inequality Symbols. Inequalities on a Number Line. Solving Equations. Solving Inequalities. (5) Regions of Graphs: Revising plotting graphs of the form 𝑥 = 𝑎 and 𝑦 = 𝑏. Revising plotting graphs of the form 𝑦 = 𝑚𝑥 + 𝑐. Plotting graphs of the form 𝑎𝑥 + 𝑏𝑦 + 𝑐 = 0. Shading Regions.

A year 10 unit of work covering the following topics. (1) Trigonometry of Right-Angled Triangles. Labelling triangles. Calculating the length of a side. Calculating the size of an angle. (2) Transformations: Enlargement. Positive scale factor. Fractional scale factor. Centre of enlargement. Finding the centre of enlargement. Negative scale factor. (3) Tessellations: Tessellating with triangles. Tessellating with quadrilaterals. (4) Perimeter and Area of Composite Shapes. Composite shapes. Length of an arc and the area of a sector.

A numeracy workbook designed to revise algebraic concepts with Year 10. Contains 20 worksheets each containing 6 algebra questions and 6 questions on another topic. A UFO theme runs throughout the workbook. Answers are available as part of the download.