Lessons
Hands-on lessons for this pack. Filter by progress and keep moving.
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- Sparx topic map (imported)Topic list imported from Sparx GCSE content spreadsheet; used to build the skills tree.Not started1 skills
- Edexcel GCSE Maths past papers (Higher)Official-style practice: full papers + mark schemes (and examiner reports when available).Not started1 skills
- Bonus practice banks (topic questions)Extra topic-question banks to practise beyond official-style papers.Not started1 skills
- Algebra — knowledge bankTopics, links, and notes for Algebra (Edexcel GCSE Maths Higher).Not started98 skillsTeaches
- Using algebraic notation
- Substituting into expressions
- Substituting into algebraic formulae
- Substituting into real-life formulae
- Simplifying expressions by collecting like terms
- Simplifying expressions using index laws
- Expanding single brackets
- Expanding double brackets
- Expanding triple brackets
- Factorising into one bracket
- Factorising quadratic expressions of the form $x^2+bx+c$
- Factorising quadratic expressions of the form $ax^2+bx+c$
- Factorising the difference of two squares
- Completing the square
- Simplifying algebraic fractions by cancelling common factors
- Simplifying algebraic fractions by factorising into one bracket
- Simplifying algebraic fractions by factorising into two brackets
- Adding and subtracting algebraic fractions
- Multiplying algebraic fractions
- Dividing algebraic fractions
- Changing the subjects of formulae with one step
- Changing the subjects of formulae with two or more steps
- Changing the subject when the subject appears more than once
- Solving equations with one step
- Solving equations with two or more steps
- Solving equations with the unknown on both sides
- Solving equations with the unknown in the denominator
- Constructing and solving equations
- Reading and drawing inequalities on number lines
- Solving single inequalities
- Solving inequalities with the unknown on both sides
- Solving double inequalities
- Constructing and solving inequalities
- Graphs of linear inequalities
- Solving quadratic inequalities
- Factorising to solve quadratic equations of the form $x^2+bx+c=0$
- Factorising to solve quadratic equations of the form $ax^2+bx+c=0$
- Solving quadratic equations by completing the square
- Solving quadratic equations using the quadratic formula
- Constructing and solving quadratic equations
- Solving quadratic equations graphically
- Solving simultaneous equations using elimination
- Solving simultaneous equations using substitution
- Solving simultaneous equations involving quadratics
- Solving simultaneous equations graphically
- Solving simultaneous equations involving quadratics graphically
- Constructing and solving linear simultaneous equations
- Constructing and solving linear and quadratic simultaneous equations
- Substituting into iterative formulae
- Finding approximate solutions to equations using iteration
- Term-to-term rules
- Substituting into position-to-term rules
- Position-to-term rules for arithmetic sequences
- Position-to-term rules for sequences of patterns
- Position-to-term rules for quadratic sequences
- Special sequences
- Position-to-term rules for geometric sequences
- Using recurrence relations
- Substituting into functions
- Substituting into composite functions
- Finding composite functions
- Finding inverse functions
- Reading and plotting coordinates
- Calculating midpoints
- Solving shape problems involving coordinates
- Plotting straight line graphs
- Finding equations of straight line graphs
- Interpreting equations of straight line graphs
- Finding the equation of a straight line from its gradient and a point
- Finding the equation of a straight line from two points on the line
- Equations of parallel lines
- Equations of parallel and perpendicular lines
- Plotting graphs of quadratic functions
- Interpreting graphs of quadratic functions
- Sketching quadratic graphs
- Finding the turning point of a quadratic graph by completing the square
- Graphs of cubic functions
- Graphs of reciprocal functions
- Graphs of exponential functions
- Translating graphs
- Reflecting graphs
- Transforming graphs
- Estimating gradients of non-linear graphs using tangents
- Estimating areas under non-linear graphs
- Equations of circles
- Equations of tangents
- Plotting linear real-life graphs
- Using and finding equations of linear real-life graphs
- Sketch graphs of water flows
- Interpreting quadratic real-life graphs
- Plotting distance-time graphs
- Interpreting distance-time graphs
- Calculating speed from distance-time graphs
- Plotting distance-time graphs using speeds
- Plotting velocity-time graphs
- Calculating acceleration from velocity-time graphs
- Calculating distances from velocity-time graphs
- Writing algebraic proofs
- Geometry — knowledge bankTopics, links, and notes for Geometry (Edexcel GCSE Maths Higher).Not started101 skillsTeaches
- Mixed problems: Finding the area and perimeter of simple shapes
- Finding the area of compound shapes
- Finding the perimeter of compound shapes
- Problem solving: Area and perimeter of rectangles and compound shapes (Foundation)
- Problem solving: Area and perimeter of rectangles and compound shapes (Higher)
- Finding the area of triangles
- Finding the area of compound shapes containing triangles
- Finding the area of parallelograms
- Finding the area of trapeziums
- Problem solving: Area of triangles, parallelograms and trapeziums (Foundation)
- Problem solving: Area of triangles, parallelograms and trapeziums (Higher)
- Line and shape properties
- Symmetry
- Properties of 3D shapes
- Understanding, measuring and drawing angles
- Angles on a line and about a point
- Vertically opposite angles
- Angles in triangles
- Angles in quadrilaterals
- Combining angle facts
- Angles on parallel lines
- Using quadrilateral properties to find angles
- Angles in polygons
- Understanding sin, cos and tan
- Finding unknown sides in right-angled triangles
- Finding unknown angles in right-angled triangles
- Using the exact values of trigonometric ratios
- Using the exact values of trigonometric ratios (Higher)
- Angles of elevation and depression
- Trigonometry in 3D shapes
- Calculating with trigonometry and bearings
- Properties of trigonometric graphs
- Using trigonometric graphs
- The sine rule
- The cosine rule
- The area rule
- Understanding congruence
- Understanding similarity
- Mixed problems: Understanding similarity and congruence
- Congruent triangles
- Finding unknown sides in similar shapes
- Finding the perimeter and area of similar shapes
- Finding the surface area and volume of similar shapes
- Identifying parts of circles
- Finding the circumference of circles
- Finding the area of circles
- Finding the arc length of sectors
- Finding the area of sectors
- Angles subtended at the centre or circumference of a circle
- Angles in segments and cyclic quadrilaterals
- Circle theorems for chords and tangents
- Alternate segment theorem
- Mixed problems: Circle theorems
- Proving the circle theorems
- Using Pythagoras' theorem in 2D
- Applying Pythagoras' theorem in 2D
- Using Pythagoras' theorem in 3D
- Nets of 3D shapes
- Plans and elevations
- Finding the surface area of cubes and cuboids
- Finding the surface area of prisms
- Finding the surface area of pyramids
- Mixed problems: Finding the surface area of cuboids, prisms and pyramids
- Finding the surface area of cylinders
- Finding the surface area of cones
- Finding the surface area of spheres
- Mixed problems: Finding the surface area of cones and spheres
- Finding the surface area of frustums
- Finding the surface area of composite shapes
- Finding the volume of cubes and cuboids
- Finding the volume of prisms
- Finding the volume of pyramids
- Finding the volume of cylinders
- Finding the volume of cones
- Finding the volume of spheres
- Mixed problems: Finding the volume of cones and spheres
- Finding the volume of frustums
- Finding the volume of composite shapes
- Understanding column vectors
- Adding and subtracting column vectors
- Multiplying column vectors by a scalar
- Solving geometric problems using vectors
- Identifying parallel vectors
- Translation
- Reflection
- Rotation
- Enlargement by a positive scale factor
- Enlargement by a positive or negative scale factor
- Combining transformations
- Using a pair of compasses
- Constructing triangles
- Constructing bisectors of angles
- Constructing perpendicular bisectors and lines
- Mixed problems: Constructing bisectors and perpendicular lines
- Constructing loci
- Drawing and interpreting scale diagrams
- Measuring and drawing bearings
- Calculating bearings
- Geometric proofs with angle facts
- Geometric proofs with congruence and similarity
- Geometric proofs with vectors
- Number — knowledge bankTopics, links, and notes for Number (Edexcel GCSE Maths Higher).Not started78 skillsTeaches
- Using number lines
- Understanding and ordering integers
- Understanding and ordering decimals
- Adding and subtracting integers
- Adding and subtracting decimals
- Multiplying and dividing with place value
- Using a written method to multiply integers
- Using a written method to multiply decimals
- Using a written method to divide integers
- Using a written method to divide with decimals
- Ordering negative numbers
- Adding and subtracting with negative numbers
- Multiplying and dividing with negative numbers
- Calculating with roots and powers
- Estimating roots and powers
- Indices of the form $\frac{1}{a}$
- Indices of the form $\frac{a}{b}$
- Using the correct order of operations
- Using a calculator
- Index rules with positive indices
- Index rules with negative indices
- Using standard form with positive indices
- Using standard form with negative indices
- Multiplying and dividing numbers in standard form
- Adding and subtracting numbers in standard form
- Standard form with a calculator
- Rounding integers
- Rounding decimals
- Rounding integers using significant figures
- Rounding decimals using significant figures
- Estimating calculations
- Finding error intervals
- Finding bounds for calculations
- Truncating decimals
- Finding error intervals for truncated numbers
- Finding fractions of shapes
- Constructing fractions
- Finding equivalent fractions
- Simplifying fractions
- Ordering fractions
- Adding and subtracting fractions
- Converting between mixed numbers and improper fractions
- Adding and subtracting mixed numbers
- Ordering fractions and mixed numbers
- Multiplying fractions
- Multiplying with mixed numbers
- Dividing fractions
- Dividing with mixed numbers
- Problem solving: Fractions and mixed numbers
- Converting between fractions, decimals and percentages
- Ordering fractions, decimals and percentages
- Converting fractions to recurring decimals
- Converting recurring decimals to fractions
- Writing numbers as percentages of other numbers
- Finding fractions of amounts without a calculator
- Finding fractions of amounts with a calculator
- Finding percentages of amounts without a calculator
- Finding percentages of amounts with a calculator
- Percentage change without a calculator
- Percentage change with a calculator
- Finding original values in percentage calculations
- Finding the percentage an amount has been changed by
- Simple interest calculations
- Compound interest calculations
- Growth and decay
- Finding factors and using divisibility tests
- Finding the lowest common multiple (LCM)
- Finding the highest common factor (HCF)
- Problem solving: Finding the HCF and LCM
- Finding prime numbers
- Prime factor decomposition
- Finding the HCF and LCM using prime factor decomposition
- Multiplying and dividing surds
- Simplifying surds
- Adding and subtracting surds
- Expanding brackets with surds
- Rationalising denominators containing a single term
- Rationalising denominators containing two terms
- Probability — knowledge bankTopics, links, and notes for Probability (Edexcel GCSE Maths Higher).Not started18 skillsTeaches
- Using probability phrases
- Writing probabilities as fractions
- Writing probabilities as fractions, decimals and percentages
- Probabilities of mutually exclusive events
- Expected results from repeated experiments
- Sample space diagrams
- Venn diagrams
- Venn diagrams with set notation
- Using set notation
- Frequency trees
- Tree diagrams for independent events
- Tree diagrams for dependent events
- Calculating experimental probabilities
- Using the product rule for counting
- Conditional probabilities from tables
- Conditional probabilities from Venn diagrams
- Using the conditional probability formula
- Conditional probabilities from tree diagrams
- Ratio, Proportion and Rates of Change — knowledge bankTopics, links, and notes for Ratio, Proportion and Rates of Change (Edexcel GCSE Maths Higher).Not started28 skillsTeaches
- Reading, converting and calculating with time
- Estimating and measuring
- Converting units of length, mass and capacity
- Converting units of area
- Converting units of volume
- Problem solving: Converting units of length, area and volume
- Using appropriate units
- Calculating with speed
- Calculating with rates
- Calculating with density
- Calculating with pressure
- Mixed problems: Calculating density and pressure
- Writing and simplifying ratios
- Using equivalent ratios to find unknown amounts
- Converting between ratios, fractions and percentages
- Sharing amounts in a given ratio
- Problem solving: Sharing amounts in a given ratio (Higher)
- Combining ratios
- Calculating with ratios and algebra
- Changing ratios
- Solving direct proportion word problems
- Solving inverse proportion word problems
- Currency conversion
- Interpreting direct proportion equations
- Constructing direct proportion equations
- Interpreting inverse proportion equations
- Constructing inverse proportion equations
- Graphs of direct and inverse proportion
- Statistics — knowledge bankTopics, links, and notes for Statistics (Edexcel GCSE Maths Higher).Not started40 skillsTeaches
- Calculating the range
- Calculating the median
- Finding the mode
- Calculating the mean
- Finding averages from frequency tables
- Finding averages from diagrams
- Finding averages from grouped data
- Choosing suitable averages and solving problems
- Interpreting frequency tables and two-way tables
- Interpreting frequency tables with grouped data
- Drawing and interpreting tally charts
- Drawing and interpreting pictograms
- Drawing bar charts
- Interpreting bar charts
- Drawing pie charts
- Interpreting pie charts
- Drawing line graphs
- Interpreting line graphs
- Plotting scatter graphs
- Interpreting scatter graphs
- Using lines of best fit
- Drawing stem-and-leaf diagrams
- Interpreting stem-and-leaf diagrams
- Drawing histograms with equal class widths
- Drawing histograms with unequal class widths
- Interpreting histograms
- Calculating averages from histograms
- Drawing and interpreting frequency polygons
- Drawing cumulative frequency graphs
- Interpreting cumulative frequency graphs
- Drawing box plots
- Interpreting box plots
- Comparing populations using box plots and cumulative frequency graphs
- Types of data
- Designing and using questionnaires
- Collecting and recording data using tables
- Presenting data and making conclusions
- Comparing populations using diagrams
- Sampling and bias
- Capture-recapture