A year 10 unit of work covering the following topics. (1) Rules of Indices: The index form. Evaluating the index form. The multiplication rule. The division rule. The zeroth index rule. Raising a power to another index. The negative index rule. The reciprocal as a negative index. Unitary fraction index rule. Algebra and rules of indices. The general fraction index rule. (2) Standard Form: Writing numbers 𝑥 ≥ 1 in standard form. Writing numbers 0 < 𝑥 < 1 in standard form. Changing from standard form to an ordinary number. Adding and subtracting in standard form. Almost in standard form. Multiplying and dividing in standard form. (3) Efficient Percentage Changes: Repeated percentage changes. Calculating compound interest efficiently. Fractional changes. Reverse percentages. (4) Graph Plotting: Quadratic graphs. Recognising and sketching graphs of the form 𝑦 = 𝑎𝑥² + 𝑏. Graphical method of solving equations of the form 𝑥² + 𝑎𝑥 + 𝑏 = 0. Other graphs.

A set of revision cards for the WJEC Numeracy and Mathematics specifications. The cards correspond to the 30 workbooks available for free in the author’s TES shop. Instructions for creating the cards: (1) Print the sheets back-to-back (there should be 6 pieces of A4 paper in total). (2) Laminate the sheets (optional). (3) Cut out the individual cards (6 to each piece of A4 paper). (4) Punch a single hole in each corner. (This is easier to do if you have a single hole punch.) (5) Feed a key-ring through the holes.

A year 10 unit of work covering the following topics: (1) Calculating: Mastering the techniques. Problem solving. (2) Recurring Decimals: Changing fractions to decimals. Terminating and recurring decimals. Changing recurring decimals to fractions. (3) Converting: Converting between fractions, decimals and percentages. Starting with a percentage. Starting with a fraction. Starting with a terminating decimal. Starting with a recurring decimal. (4) Exam Technique: Summary. Assessing written communication. Mark schemes. Timing.

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 8 unit of work covering the following topics. (1) Square Root and Cube Root: Revision of Square Numbers and Cube Numbers from Year 7 work. Square Root, Cube Root. (2) Factors and Prime Numbers: Listing common factors. Defining a prime number. Recognising a prime number. (3) Venn Diagrams: Two circle Venn diagrams. Three circle Venn diagrams. Set notation. (4) Index Form: Writing a number as a product of its prime factors. Writing numbers in index form. Square numbers in index form. (5) Highest Common Factor, Lowest Common Multiple: Finding the Highest Common Factor of two numbers. Finding the Lowest Common Multiple of two numbers.

A year 7 unit of work on angles. (1) Types of Angles: Turns. Acute, obtuse and reflex angles. Naming angles. (2) Measuring Angles: Estimating angles. Using a protractor to measure angles. (3) Drawing Angles: Using a protractor to draw angles. Drawing special angles without a protractor. (4) Calculating Angles Angles around a point. Angles on a straight line. Vertically opposite angles. (5) Angles in Triangles Angles in a triangle. Types of triangles. The exterior angle of a triangle. Constructing triangles.

A year 8 unit of work containing the following topics. (1) The Mode: Calculating the mode. Calculating the mode from a table. The modal class. Comparing two distributions. (2) Pictograms: Drawing pictograms. Interpreting pictograms. (3) Vertical Line Diagrams Revising types of data. Drawing vertical line diagrams. Interpreting vertical line diagrams. (4) Line Graphs: Drawing line graphs. Interpreting line graphs. Revising displaying data. (5) Probability in Words: Vocabulary of probability. Probability scale. Probability as a number.

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 7 unit of work covering the following topics. (1) The First Quadrant: Plotting co-ordinates in the first quadrant. (2) The Four Quadrants: The four quadrants. Plotting co-ordinates in the four quadrants. (3) Mid-point of a Line: The first quadrant. Adding negative numbers. The four quadrants. (4) Using Co-ordinates: Missing co-ordinates. Translations using a column vector.

A year 10 unit of work covering the following topics. (1) Simple Factorising: Reversing Expansion. Simple Factorising.More than one Variable. (2) Factorising Quadratic Expressions: Preparation. Factorising Quadratic Expressions of the form 𝑥² + 𝑎𝑥 + 𝑏. Solving Quadratic Equations through Factorising. Factorising Quadratic Expressions of the form 𝒂𝒙² + 𝒃𝒙 + 𝒄. The Difference of Two Squares. (3) Simultaneous Equations: Multiplying Equations. Subtracting Equations. Multiplying Equations to obtain Equal Coefficients. Solving Linear Equations. Solving Simultaneous Equations. (4) Changing the Subject: Re-arranging formulae. (5) Expression, Equation, Formula, Identity: Recognising expressions, equations, formulae and identities. Proving identities.

A year 8 unit of work covering the following topics: (1) Sequences: Number patterns. Function machines. (2) Forming Expressions Rules of algebra. Writing algebraic expressions. (3) Substitution: Substituting into algebraic expressions. Substituting into formulae. (4) Collecting Like Terms: Collecting like terms using one variable. Collecting like terms using more than one variable. (5) Solving Equations Solving one step equations. Solving more complex equations. Solving problems with equations.

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 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 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 weekly numeracy homework pack, covering two six-week periods. Each week contains 9 “bread & butter” questions and a reasoning question. Questions and Answers are included. English and Welsh versions are included. Updated for 2024.

A year 11 unit of work covering the following topics: (1) Surds: Rational and irrational numbers. Surds. Simplifying surds. Expanding with surds. (2) AER, APR. Annual Equivalent Rate (AER). Alternative method of calculating AER. Annual Percentage Rate (APR). (3) Histograms: Frequency density. Drawing a histogram. Interpreting a histogram. Estimating the median from a histogram. Estimating the quartiles from a histogram. Comparing histograms.