Limitless Potential - Year 10 - South Hunsley School

R5 Ratio: Divide a given quantity into two parts in a given part : part or part : whole ratio
https://corbettmaths.com/2013/03/03/ratio-sharing-the-total/

R5 Ratio: Express the division of a quantity into two parts as a ratio
https://corbettmaths.com/2013/05/16/ratio-given-one-quantity/

N11 Ratio: Identify and work with fractions in ratio problems
https://corbettmaths.com/2017/03/26/19366/
https://corbettmaths.com/2018/12/31/expressing-as-1n/

R8 Ratio: Relate ratios to fractions and to linear functions, including expressing as to 1: n or n: 1
https://corbettmaths.com/2017/03/26/19366/
https://corbettmaths.com/2018/12/31/expressing-as-1n/

R5 Ratio: Apply ratio to real contexts and problems (such as those involving conversion, comparison, scaling, mixing, concentrations)
https://corbettmaths.com/2018/11/28/unitary-method-video/
https://corbettmaths.com/2013/05/16/recipes/

R5 Ratio: Apply ratio to real contexts and problems such as scaling drawings and map scales.
https://corbettmaths.com/2013/11/13/maps-scales/

R6 Ratio: Express a multiplicative relationship between two quantities as a ratio or a fraction
https://corbettmaths.com/wp-content/uploads/2019/07/Ratio-Two-Ratios-pdf.pdf

R14 Proportion: Recognise and interpret graphs that illustrate direct and inverse proportion
https://corbettmaths.com/2021/11/29/proportion-graphs/

R13 Direct Proportion using algebra y = kx
Clip 344 https://hegartymaths.com/algebraic-direct-proportion-2
https://corbettmaths.com/2013/04/04/direct-proportion/

R13 Inverse Proportion using algebra y= k ÷ x
https://corbettmaths.com/2013/04/04/inverse-proportion/

R10 Algebraic Proportion: Solve problems involving direct and inverse proportion, including graphical and algebraic representations
https://corbettmaths.com/2021/11/29/proportion-graphs/

Unit 2 Statistics

S1-6 Types of Data: Understand the difference between discrete and continuous data
https://corbettmaths.com/2013/05/12/discrete-and-continuous-data-corbettmaths/

S1-6 Frequency Tables: Construct and interpret tally charts
https://corbettmaths.com/2013/05/07/tally-charts-corbettmaths/

S1-6 Data Representation: Construct and interpret pictograms
https://corbettmaths.com/2013/05/25/drawing-pictograms/
https://corbettmaths.com/2012/08/09/reading-pictograms/

S1-6Data Representation: Construct and interpret bar charts
https://corbettmaths.com/2013/04/15/drawing-bar-charts/
https://corbettmaths.com/2012/08/10/reading-bar-charts/

S1-6Data Representation: Construct and interpret line graphs and time series graphs
https://corbettmaths.com/2013/05/22/line-graphs/

S1-6Data Representation: Construct and interpret pie charts
https://corbettmaths.com/2013/02/27/drawing-a-pie-chart/
https://corbettmaths.com/2013/05/25/interpreting-pie-charts/

S1-6Data Representation: Construct and interpret scatter graphs, locate outliers, draw line of best fit, estimate from line of best fit, understanding interpolation and extrapolation and the dangers of doing so.
https://corbettmaths.com/2012/08/10/scatter-graphs/
https://corbettmaths.com/2012/08/10/scatter-graphs-correlation/
https://corbettmaths.com/2012/08/10/scatter-graphs/

S1-6 Averages and spread: Calculate and use mode, median, mean and range from a list, selecting the most appropriate measure when required
https://corbettmaths.com/2012/08/02/the-mean/
https://corbettmaths.com/2012/08/02/the-median/
https://corbettmaths.com/2013/12/21/the-mode-video56/
https://corbettmaths.com/2012/08/02/the-range-video/

S1-6 Averages and spread: Calculate and use mode, median, mean and range from a frequency table, selecting the most appropriate measure when required
https://corbettmaths.com/2012/08/19/means-from-frequency-tables/
https://corbettmaths.com/2012/08/19/estimated-means-from-grouped-data/
https://corbettmaths.com/2013/03/16/median-for-a-frequency-table/

Unit 3 Quadratics

A4 Linear Graphs: Simplify and manipulate algebraic expressions (including those involving surds) by expanding products of two or morebinomials
https://corbettmaths.com/2013/12/23/expanding-two-brackets-video-14/
https://corbettmaths.com/2013/12/27/expanding-three-brackets-video-15/

A4 Quadratic Graphs: Simplify and manipulate algebraic expressions (including those involving surds) by factorising quadratic expressions of the form x² + bx + c, including the difference of two squares
https://corbettmaths.com/2013/02/06/factorising-quadratics-1/
https://corbettmaths.com/2013/02/07/factorising-quadratics-2/
https://corbettmaths.com/2013/02/08/difference-between-two-squares/

A12 Quadratic Graphs: Recognise, sketch and interpret graphs of linear functions
https://corbettmaths.com/2013/06/23/drawing-quadratics/

A12 Quadratic Graphs: Recognise, sketch and interpret graphs of quadratic functions
https://corbettmaths.com/2013/06/23/drawing-quadratics/

A11 Quadratic Graphs: Identify and interpret roots, intercepts, and turning points of quadratic functions graphically
https://corbettmaths.com/2013/06/22/sketching-quadratics/

A18 Quadratic Graphs: Find approximate solutions to quadratic equations using a graph
https://corbettmaths.com/2017/12/13/solving-quadratics-graphically/

A18 Quadratics: Solve quadratic equations algebraically by factorising
https://corbettmaths.com/2013/05/03/solving-quadratics-by-factorising/

A6 Proof: Argue mathematically to show algebraic expressions are equivalent, and use algebra to support and construct arguments
https://corbettmaths.com/2016/04/24/algebraic-proof/

Unit 4 Area, Perimiter and Volume

G9 Identify and apply circle definitions and properties, including: centre, radius, chord, diameter, circumference, tangent, arc, sector and segment
https://corbettmaths.com/2013/12/21/parts-of-the-circle-video-61/

G17 Perimeter: Calculate perimeters of 2D shapes
https://corbettmaths.com/2012/08/02/perimeter/

G17 Circumference: Calculate Circumference of circles
https://corbettmaths.com/2013/12/21/circumference-video-60/
https://corbettmaths.com/2012/08/02/perimeter-of-a-semi-circle/

G17 Circumference: Calculate perimeters of semi-circles, or 2D shapes using from circles
https://corbettmaths.com/2013/12/21/circumference-video-60/
https://corbettmaths.com/2012/08/02/perimeter-of-a-semi-circle/

G17 Circles Area: Calculate areas of circles
https://corbettmaths.com/2013/12/22/area-of-a-circle-video-40-and-59/

G17 Circles Area: Calculate areas composite shapes made using circles
https://corbettmaths.com/2013/12/22/area-of-a-circle-video-40-and-59/
https://corbettmaths.com/2012/08/02/area-of-compound-shapes/

G18 Arc Length: Calculate arc lengths or perimeter of sectors of circles, or angles of sectors, including in terms of π.
https://corbettmaths.com/2013/03/26/arc-length/

G18 Sector Area: Calculate sector or segment areas of circles, or sector angles (including in terms of π).
https://corbettmaths.com/2012/08/02/area-of-a-sector-video/
https://corbettmaths.com/2013/03/29/area-of-a-segment/

G16 Area: Know and apply formulae to calculate area of rectangles, and shapes made using rectangles
https://corbettmaths.com/2013/12/20/area-of-a-rectangle-video-45/
https://corbettmaths.com/2013/03/26/area-of-an-l-shape/

G16 Area: Know and apply formulae to calculate area of triangles, and shapes made using triangles
https://corbettmaths.com/2013/12/20/area-of-a-triangle-video-49/

G16 Area: Know and apply formulae to calculate area of parallelograms, and shapes using parallelograms
https://corbettmaths.com/2013/12/21/area-of-a-parallelogram-video-44/

G16 Area: Know and apply formulae to calculate area of trapezium, and shapes using trapezia
https://corbettmaths.com/2012/08/02/area-of-a-trapezium-video/

G16 Surface Area 3D shapes: Know and apply formulae to calculate surface area of cuboids and other right prisms (including cylinders)
https://corbettmaths.com/2013/03/29/surface-area-of-a-cuboid/
https://corbettmaths.com/2018/01/29/surface-area-of-other-prisms/
https://corbettmaths.com/2013/03/29/surface-area-of-an-l-shape-prism/

G16 Volume: Know and apply formulae to calculate volumes of cuboids and other right prisms
https://corbettmaths.com/2013/04/20/volume-of-a-prism/
https://corbettmaths.com/2012/08/09/volume-of-cuboids-and-cubes/

G16 Surface Area: Know and apply formulae to calculate surface areas of cylinders
https://corbettmaths.com/2013/04/04/surface-area-of-a-cylinder/

G16 Volume: Know and apply formulae to calculate volumes of cylinders,
https://corbettmaths.com/2013/02/15/volume-of-a-cylinder/

G17 Surface Area: Calculate surface area of pyramids, cones and composite solids
https://corbettmaths.com/2013/10/24/surface-area-of-cone/

G17 Volume: Calculate volume of cones, pyramids, frustums and composite solids
https://corbettmaths.com/2013/03/03/volume-of-a-cone/
https://corbettmaths.com/2019/04/24/volume-of-a-frustum/

G17 Surface Area: Calculate surface area spheres, and composite solids
https://corbettmaths.com/2013/03/26/surface-area-of-a-sphere/

G17 Volume: Calculate volume of spheres and composite solids
https://corbettmaths.com/2013/03/03/volume-of-a-sphere/

R11 Solve density problems in shape
https://corbettmaths.com/2016/06/07/density/

Unit 5 Shape and Space

G25 Vectors: Understanding vectors and scalars, and writing as column vectors or representing as diagrams
https://corbettmaths.com/2016/04/25/vectors/
https://corbettmaths.com/2017/09/25/column-vectors/

G25 Vectors: Apply addition and subtraction of vectors, multiplication of vectors by a scalar
https://corbettmaths.com/2017/09/25/column-vectors/

G7 Translations: Identify, describe and construct congruent and similar shapes, including on coordinate axes, by considering translation
https://corbettmaths.com/2012/08/10/transformations-translations/
https://corbettmaths.com/2012/08/10/transformations-translations/

G7 Rotations: Identify, describe and construct congruent and similar shapes, including on coordinate axes, by considering rotation
https://corbettmaths.com/2013/05/19/rotations/

G7 Reflection: Identify, describe and construct congruent and similar shapes, including on coordinate axes, by considering reflection
https://corbettmaths.com/2012/08/19/reflections/
https://corbettmaths.com/2013/06/23/describing-reflections/
https://corbettmaths.com/2013/03/29/finding-the-mirror-line/

G7 Enlargements: Identify, describe and construct congruent and similar shapes, including on coordinate axes, by considering enlargement (including fractional scale factors)
https://corbettmaths.com/2012/08/19/enlargements/
https://corbettmaths.com/2012/08/19/enlargements/
https://corbettmaths.com/2013/05/12/describing-enlargements/
https://corbettmaths.com/2013/03/29/finding-the-centre-of-enlargement/
https://corbettmaths.com/2013/03/31/enlargments-fraction/

G24 Translation Vectors: Describe translations as 2D vectors
https://corbettmaths.com/2012/08/10/transformations-translations/

G20 Know the formulae for Pythagoras’ theorem, a² + b² = c², and apply it to find lengths in right-angled triangles two dimensional figures
https://corbettmaths.com/2012/08/19/pythagoras-video/
https://corbettmaths.com/2013/05/03/distance-between-two-coordinates/
https://corbettmaths.com/2013/05/03/distance-between-two-coordinates/

G20 Trigonometry Missing Sides: Know the formulae for the trigonometric ratios: sinƟ = opp/hyp, cosƟ = adj/opp and tanƟ = opp/adj; apply them to find lengths in right-angled triangles in two dimensional figures
https://corbettmaths.com/2013/03/30/trigonometry-introduction/
https://corbettmaths.com/2013/03/30/trigonometry-missing-sides/

G20 Trigonometry Missing Angles: Know the formulae for the trigonometric ratios sinƟ = opp/hyp, cosƟ = adj/opp and tanƟ = opp/adj; apply them to find angles in right-angled triangles two dimensional figures
https://corbettmaths.com/2013/03/30/trigonometry-missing-angles/

G21 Know the exact values of sinƟ and cosƟ for Ɵ = 0°, 30°, 45°, 60° and 90°; know the exact value of tanƟ for Ɵ = 0°, 30°, 45° and 60°
https://corbettmaths.com/2013/04/20/exact-trigonometric-values/

Unit 6 Similarity

G15 Measure angles in geometric figures
https://corbettmaths.com/2013/03/05/measuring-angles/

G15 Interpreting maps and scale drawings
https://corbettmaths.com/2013/11/13/maps-scales/

R2 Use scale factors, scale diagrams and maps
https://corbettmaths.com/2013/11/13/maps-scales/

G5 Use the basic congruence criteria for triangles (SSS, SAS, ASA, RHS)
https://corbettmaths.com/2013/04/15/congruent-triangles/

G19 Apply the concepts of congruence
https://corbettmaths.com/2012/08/10/congruent-and-similar-shapes/
https://corbettmaths.com/2013/11/16/similarshapes/

G19 Apply the concepts of similarity, including the relationships between lengths in similar figures
https://corbettmaths.com/2012/08/10/congruent-and-similar-shapes/

G2 Use the standard ruler and compass constructions to construct given figures
https://corbettmaths.com/2013/03/26/angle-bisector/
https://corbettmaths.com/2012/08/24/perpendicular-bisector/
https://corbettmaths.com/2013/03/25/perpendicular-from-a-line-to-a-point/
https://corbettmaths.com/2013/03/29/perpendicular-through-a-point-on-a-line/

G2 Construct a perpendicular bisector of a line segment using a ruler and compass
https://corbettmaths.com/2012/08/24/perpendicular-bisector/

G2 Construct a perpendicular to a given line from a given point using a ruler and compass: know that the perpendicular distance from a point to a line is the shortest distance to the line
https://corbettmaths.com/2013/03/25/perpendicular-from-a-line-to-a-point/

G2 Construct a perpendicular to a given line at a given point using a ruler and compass
https://corbettmaths.com/2013/03/29/perpendicular-through-a-point-on-a-line/

G2 Construct an angle bisector using a ruler and compass
https://corbettmaths.com/2013/03/26/angle-bisector/

G2 Use the standard ruler and compass constructions to solve loci problems
https://corbettmaths.com/2013/03/31/loci-part-1/
https://corbettmaths.com/2013/03/31/loci-part-2/
https://corbettmaths.com/2013/03/06/loci-part-3-2/

Unit 1 Ratio and Proportion

R4 Ratio: Use ratio notation, including reduction to simplest form
https://corbettmaths.com/2013/03/03/simplifying-ratio/

R5 Ratio: Divide a given quantity into two parts in a given part : part or part : whole ratio
https://corbettmaths.com/2013/03/03/ratio-sharing-the-total/

R5 Ratio: Express the division of a quantity into two parts as a ratio
https://corbettmaths.com/2013/05/16/ratio-given-one-quantity/

N11 Ratio: Identify and work with fractions in ratio problems
https://corbettmaths.com/2017/03/26/19366/
https://corbettmaths.com/2018/12/31/expressing-as-1n/

R8 Ratio: Relate ratios to fractions and to linear functions, including expressing as to 1: n or n: 1
https://corbettmaths.com/2017/03/26/19366/
https://corbettmaths.com/2018/12/31/expressing-as-1n/

R5 Ratio: Apply ratio to real contexts and problems (such as those involving conversion, comparison, scaling, mixing, concentrations)
https://corbettmaths.com/2018/11/28/unitary-method-video/
https://corbettmaths.com/2013/05/16/recipes/

R5 Ratio: Apply ratio to real contexts and problems such as scaling drawings and map scales.
https://corbettmaths.com/2013/11/13/maps-scales/

R6 Ratio: Express a multiplicative relationship between two quantities as a ratio or a fraction
https://corbettmaths.com/wp-content/uploads/2019/07/Ratio-Two-Ratios-pdf.pdf

R14 Proportion: Recognise and interpret graphs that illustrate direct and inverse proportion
https://corbettmaths.com/2021/11/29/proportion-graphs/

R13 Direct Proportion using algebra y = kx
https://corbettmaths.com/2013/04/04/direct-proportion/

R13 Inverse Proportion using algebra y = k ÷ x
https://corbettmaths.com/2013/04/04/inverse-proportion/

Unit 2 Statistics

S1-6 Types of Data: Understand the difference between discrete and continuous data
https://corbettmaths.com/2013/05/12/discrete-and-continuous-data-corbettmaths/

S1-6 Frequency Tables: Construct and interpret tally charts
https://corbettmaths.com/2013/05/07/tally-charts-corbettmaths/

S1-6 Data Representation: Construct and interpret pictograms
https://corbettmaths.com/2013/05/25/drawing-pictograms/
https://corbettmaths.com/2012/08/09/reading-pictograms/

S1-6Data Representation: Construct and interpret bar charts
https://corbettmaths.com/2013/04/15/drawing-bar-charts/
https://corbettmaths.com/2012/08/10/reading-bar-charts/

S1-6Data Representation: Construct and interpret line graphs and time series graphs
https://corbettmaths.com/2013/05/22/line-graphs/

S1-6Data Representation: Construct and interpret pie charts
https://corbettmaths.com/2013/02/27/drawing-a-pie-chart/
https://corbettmaths.com/2013/05/25/interpreting-pie-charts/

S1-6Data Representation: Construct and interpret scatter graphs, locate outliers, draw line of best fit, estimate from line of best fit, understanding interpolation and extrapolation and the dangers of doing so.
https://corbettmaths.com/2012/08/10/scatter-graphs/
https://corbettmaths.com/2012/08/10/scatter-graphs-correlation/
https://corbettmaths.com/2012/08/10/scatter-graphs/

S1-6 Averages and spread: Calculate and use mode, median, mean and range from a list, selecting the most appropriate measure when required
https://corbettmaths.com/2012/08/02/the-mean/
https://corbettmaths.com/2012/08/02/the-median/
https://corbettmaths.com/2013/12/21/the-mode-video56/
https://corbettmaths.com/2012/08/02/the-range-video/

S1-6 Averages and spread: Calculate and use mode, median, mean and range from a frequency table, selecting the most appropriate measure when required
https://corbettmaths.com/2012/08/19/means-from-frequency-tables/
https://corbettmaths.com/2012/08/19/estimated-means-from-grouped-data/
https://corbettmaths.com/2013/03/16/median-for-a-frequency-table/

S1-6Data Representation: Construct, interpret and estimate the median, range and interquartile range from cumulative frequency curves and box plots
https://corbettmaths.com/2012/08/09/drawing-cumulative-frequency-graphs/
https://corbettmaths.com/2012/08/09/reading-cumulative-frequency-graphs/

S1-6Data Representation: Construct, interpret and estimate the median, range and interquartile range from box plots
https://corbettmaths.com/2013/05/15/drawing-and-reading-box-plots/

S1-6Data Representation: Use box plots to compare two or more sets of data
https://corbettmaths.com/2013/05/15/comparing-box-plots/

S1-6Data Representation: Construct and interpret histograms
https://corbettmaths.com/2012/08/20/drawing-histograms/

S1-6Data Representation: Solve problems using histograms (including estimating the median and solving problems with an unknown frequency density)
https://corbettmaths.com/2012/08/19/finding-frequencies-from-histograms/
https://corbettmaths.com/2012/08/23/reading-histograms-and-a-gcse-questions/

Unit 3 Quadratics

A12 Linear Graphs: Recognise, sketch and interpret graphs of linear functions
https://corbettmaths.com/2013/06/23/drawing-quadratics/

A12 Quadratic Graphs: Recognise, sketch and interpret graphs of quadratic functions
https://corbettmaths.com/2013/06/23/drawing-quadratics/

A11 Quadratic Graphs: Identify and interpret roots, intercepts, and turning points of quadratic functions graphically and turning points by completing the square
https://corbettmaths.com/2013/06/22/sketching-quadratics/

A18 Quadratic Graphs: Find approximate solutions to quadratic equations using a graph
https://corbettmaths.com/2017/12/13/solving-quadratics-graphically/
https://corbettmaths.com/2017/12/16/solving-quadratics-graphically-advanced/

A18 Quadratics: Solve quadratic equations (including those that require rearrangement) algebraically by factorising
https://corbettmaths.com/2013/05/03/solving-quadratics-by-factorising/

A18 Quadratics: Solve quadratic equations by completing the square
https://corbettmaths.com/2013/12/29/completing-the-square-video-10/

A18 Quadratics: Solve quadratic equations by using the quadratic formula
https://corbettmaths.com/2013/04/24/quadratic-formula/
https://corbettmaths.com/2015/03/19/deriving-the-quadratic-formula/

A11 Quadratics: Deduce turning points by completing the square
https://corbettmaths.com/2021/12/14/finding-turning-points-video/

A19 Simultaneous Equations: Find approximate solutions to two simultaneous equations (linear/quadratic) graphically
https://corbettmaths.com/2019/03/27/solving-simultaneous-equations-graphically/

A19 Simultaneous Equations: Solve two simultaneous equations in two variables (linear) by elimination method
https://corbettmaths.com/2013/03/05/simultaneous-equations-elimination-method/

A19 Simultaneous Equations: Solve two simultaneous equations in two variables (linear/quadratic) by substitution method
https://corbettmaths.com/2013/05/07/solving-simultaneous-equations-by-substitution/

A19 Simultaneous Equations: Solve two simultaneous equations in two variables (where one is quadratic) by substitution method
https://corbettmaths.com/2013/05/07/simultaneous-equations-linear-and-quadratic/

R15 Gradients: Interpret the gradient at a point on a curve as the instantaneous rate of change
https://corbettmaths.com/2017/01/21/instantaneous-rates-of-change/

R15 Gradients: Apply the concepts of average and instantaneous rate of change (gradients of chords and tangents) in numerical, algebraic and graphical contexts
https://corbettmaths.com/2018/03/23/average-rate-of-change/

A6 Proof: Argue mathematically to show algebraic expressions are equivalent, and use algebra to support and construct arguments and proofs

Unit 4 Area, Perimeter and Volume

G9 Circle Properties: Identify and apply circle definitions and properties, including: centre, radius, chord, diameter, circumference, tangent, arc, sector and segment
https://corbettmaths.com/2013/12/21/parts-of-the-circle-video-61/

G17 Perimeter: Calculate perimeters of 2D shapes
https://corbettmaths.com/2012/08/02/perimeter/

G17 Circumference: Calculate Circumference of circles
https://corbettmaths.com/2013/12/21/circumference-video-60/
https://corbettmaths.com/2012/08/02/perimeter-of-a-semi-circle/

G17 Circumference: Calculate perimeters of semi-circles, or 2D shapes using from circles
https://corbettmaths.com/2013/12/21/circumference-video-60/
https://corbettmaths.com/2012/08/02/perimeter-of-a-semi-circle/

G17 Circles Area: Calculate areas of circles
https://corbettmaths.com/2013/12/22/area-of-a-circle-video-40-and-59/

G17 Circles Area: Calculate areas composite shapes made using circles
https://corbettmaths.com/2013/12/22/area-of-a-circle-video-40-and-59/
https://corbettmaths.com/2012/08/02/area-of-compound-shapes/

G18 Arc Length: Calculate arc lengths or perimeter of sectors of circles, or angles of sectors, including in terms of π.
https://corbettmaths.com/2013/03/26/arc-length/

G18 Sector Area: Calculate sector or segment areas of circles, or sector angles (including in terms of π).
https://corbettmaths.com/2012/08/02/area-of-a-sector-video/
https://corbettmaths.com/2013/03/29/area-of-a-segment/

G16 Area: Know and apply formulae to calculate area of triangles, and shapes made using triangles
https://corbettmaths.com/2013/12/20/area-of-a-triangle-video-49/

G16 Area: Know and apply formulae to calculate area of parallelograms, and shapes using parallelograms
https://corbettmaths.com/2013/12/21/area-of-a-parallelogram-video-44/

G16 Area: Know and apply formulae to calculate area of trapezium, and shapes using trapezia
https://corbettmaths.com/2012/08/02/area-of-a-trapezium-video/

G16 Surface Area 3D shapes: Know and apply formulae to calculate surface area of cuboids and other right prisms (including cylinders)
https://corbettmaths.com/2013/03/29/surface-area-of-a-cuboid/
https://corbettmaths.com/2018/01/29/surface-area-of-other-prisms/
https://corbettmaths.com/2013/03/29/surface-area-of-an-l-shape-prism/

G16 Volume: Know and apply formulae to calculate volumes of cuboids and other right prisms
https://corbettmaths.com/2012/08/09/volume-of-cuboids-and-cubes/
https://corbettmaths.com/2013/04/20/volume-of-a-prism/

G16 Surface Area: Know and apply formulae to calculate surface areas of cylinders
https://corbettmaths.com/2013/04/04/surface-area-of-a-cylinder/

G16 Volume: Know and apply formulae to calculate volumes of cylinders,
https://corbettmaths.com/2013/02/15/volume-of-a-cylinder/

G17 Surface Area: Calculate surface area of pyramids, cones and composite solids
https://corbettmaths.com/2013/10/24/surface-area-of-cone/

G17 Volume: Calculate volume of cones, pyramids, frustums and composite solids
https://corbettmaths.com/2013/03/03/volume-of-a-cone/
https://corbettmaths.com/2019/04/24/volume-of-a-frustum/

G17 Surface Area: Calculate surface area spheres, and composite solids
https://corbettmaths.com/2013/03/26/surface-area-of-a-sphere/

G17 Volume: Calculate volume of spheres and composite solids
https://corbettmaths.com/2013/03/03/volume-of-a-sphere/

R11 Solve density problems in shape
https://corbettmaths.com/2016/06/07/density/

G10 Circle Theorems: Apply the standard circle theorems concerning angles, radii and chords inside a circle, and use them to prove related results
https://corbettmaths.com/2013/04/04/circle-theorems-theorems/
https://corbettmaths.com/2013/04/04/circle-theorems-examples/

G10 Circle Theorems: Apply the standard circle theorems concerning angles, tangents and chords inside and outside a circle, and use them to prove related results
https://corbettmaths.com/2013/04/04/circle-theorems-theorems/
https://corbettmaths.com/2013/04/04/circle-theorems-examples/

G10 Circle Theorems: Prove the standard circle theorems concerning angles, radii, tangents and chords, and use them to prove related results
https://corbettmaths.com/2014/10/02/angle-in-a-semi-circle-proof/
https://corbettmaths.com/2014/10/02/angles-at-the-centre-and-circumference-proof/
https://corbettmaths.com/2014/10/02/angles-in-the-same-segment-proof/
https://corbettmaths.com/2014/10/02/cyclic-quadrilateral-proof/
https://corbettmaths.com/2014/10/02/alternate-segment-theorem-proof/
https://corbettmaths.com/2014/10/02/radius-and-tangent-proof/

A16 Circle Equation: Recognise and use the equation of a circle with centre at the origin; find the equation of a tangent
to a circle at a given point
https://corbettmaths.com/2016/08/07/equation-of-a-tangent-to-a-circle/

Unit 5 Shape and Space

G25 Vectors: Understanding vectors and scalars, and writing as column vectors or representing as diagrams
https://corbettmaths.com/2016/04/25/vectors/
https://corbettmaths.com/2017/09/25/column-vectors/

G25 Vectors: Apply addition and subtraction of vectors, multiplication of vectors by a scalar
https://corbettmaths.com/2017/09/25/column-vectors/

G25 Vectors: Use vectors to construct geometric arguments and proofs
https://corbettmaths.com/2016/04/25/vectors/

G7 Translations: Identify, describe and construct congruent and similar shapes, including on coordinate axes, by considering translation
https://corbettmaths.com/2012/08/10/transformations-translations/
https://corbettmaths.com/2012/08/10/transformations-translations/

G7 Rotations: Identify, describe and construct congruent and similar shapes, including on coordinate axes, by considering rotation
https://corbettmaths.com/2013/05/19/rotations/

G7 Reflection: Identify, describe and construct congruent and similar shapes, including on coordinate axes, by considering reflection
https://corbettmaths.com/2012/08/19/reflections/
https://corbettmaths.com/2013/06/23/describing-reflections/
https://corbettmaths.com/2013/03/29/finding-the-mirror-line/

G7 Enlargements: Identify, describe and construct congruent and similar shapes, including on coordinate axes, by considering enlargement (including fractional and negative scale factors)
https://corbettmaths.com/2012/08/19/enlargements/
https://corbettmaths.com/2012/08/19/enlargements/
https://corbettmaths.com/2013/05/12/describing-enlargements/
https://corbettmaths.com/2013/03/29/finding-the-centre-of-enlargement/

G24 Translation Vectors: Describe translations as 2D vectors
https://corbettmaths.com/2012/08/10/transformations-translations/

G8 Combinations of transformations: Describe the changes and invariance achieved by combinations of rotations, reflections and translations
https://corbettmaths.com/2019/02/04/invariant-points-video/

G20 Pythagoras’ Theorem: Know the formulae for Pythagoras’ theorem, a² + b² = c², and apply it to find lengths in right-angled trianglesin two dimensional figures
https://corbettmaths.com/2012/08/19/pythagoras-video/
https://corbettmaths.com/2013/06/22/showing-a-triangle-is-right-angled/
https://corbettmaths.com/2013/05/03/distance-between-two-coordinates/

G20 Pythagoras’ Theorem: Apply Pythagoras’ Theorem, a² + b² = c² , to find lengths in general triangles in two dimensional figures
https://corbettmaths.com/2013/06/22/pythagoras-rectangles-and-isosceles-triangles/

G20 Pythagoras’ Theorem: Apply Pythagoras’ Theorem, a² + b² = c² to find lengths in right-angled triangles and, where possible, general triangles in three dimensional figures
https://corbettmaths.com/2012/08/19/3d-pythagoras/

G20 Trigonometry Missing sides: Know the formulae for the trigonometric ratios: sinƟ = opp/hyp, cosƟ = adj/opp and tanƟ = opp/adj; apply them to find lengths in right-angled triangles and, where possible, general trianglesin two dimensional figures
https://corbettmaths.com/2013/03/30/trigonometry-introduction/
https://corbettmaths.com/2013/03/30/trigonometry-missing-sides/

G20 Trigonometry Missing Angles: Know the formulae for the trigonometric ratios: sinƟ = opp/hyp, cosƟ = adj/opp and tanƟ = opp/adj; apply them to find angles in right-angled triangles and, where possible, general trianglesin two dimensional figures
https://corbettmaths.com/2013/03/30/trigonometry-missing-angles/

G20 Trigonometry Angles Elevation/Depressions: Know the formulae for the trigonometric ratios: sinƟ = opp/hyp, cosƟ = adj/opp and tanƟ = opp/adj; apply them to find angles of elevation and depression.

G20 Trigonometry 3D: Know the formulae for the trigonometric ratios: sinƟ = opp/hyp, cosƟ = adj/opp and tanƟ = opp/adj; apply them to find angles and lengths in right-angled triangles and, where possible, general trianglesin threedimensional figures
https://corbettmaths.com/2013/12/07/3d-trigonometry/

A12 Trigonometric Graphs: Recognise, sketch and interpret graphs of the trigonometrical functions y = sinx, y = cosx and y = tanx for angles of any size
https://corbettmaths.com/2013/04/20/ysinx-graph/
https://corbettmaths.com/2013/05/07/cosine-graph/
https://corbettmaths.com/2013/05/12/tangent-graph/

G21 Exact Trigonometric Values: Know the exact values of sinƟ and cosƟ for Ɵ = 0°, 30°, 45°, 60° and 90°; know the exact value of tanƟ for Ɵ = 0°, 30°, 45° and 60°
https://corbettmaths.com/2013/04/20/exact-trigonometric-values/

G22 Sine Rule: Know and apply the sine rule, a/sinA = b/SinB = c/SinC, to find unknownlengths and angles
https://corbettmaths.com/2013/05/03/sine-rule-missing-sides/
https://corbettmaths.com/2019/04/24/sine-rule-angles/
https://corbettmaths.com/2019/04/26/sine-rule-ambiguous-case/

G22 Cosine Rule: Know and apply the cosine rule,a² = b² + c² – 2bc cos A, to find unknownlengths and angles
https://corbettmaths.com/2013/04/04/cosine-rule-missing-sides/
https://corbettmaths.com/2013/04/04/cosine-rule-missing-angles/

G23 Sine Area of triangle: Know and apply Area= ½ ab sin C to calculate the area, sides or angles of any triangle
https://corbettmaths.com/2012/08/02/area-of-a-triangle-sinetrigonometry/

Unit 6 Similarity

G15 Measure angles in geometric figures
https://corbettmaths.com/2013/03/05/measuring-angles/

G15 Interpreting maps and scale drawings
https://corbettmaths.com/2013/11/13/maps-scales/

R2 Use scale factors, scale diagrams and maps
https://corbettmaths.com/2013/11/13/maps-scales/

G5 Congruency: Use the basic congruence criteria for triangles (SSS, SAS, ASA, RHS)
https://corbettmaths.com/2013/04/15/congruent-triangles/

G19 Apply the concepts of congruence including the relationships between lengths, areas and volumes
https://corbettmaths.com/2012/08/10/congruent-and-similar-shapes/

G19 Apply the concepts of similarity, including the relationships between lengths in similar figures
https://corbettmaths.com/2012/08/10/congruent-and-similar-shapes/
https://corbettmaths.com/2013/11/16/similarshapes/

G19 Apply the concepts of congruence and similarity, including the relationships between areas in similar figures
https://corbettmaths.com/2013/11/16/similar-shapes-areas/

G19 Apply the concepts of congruence and similarity, including the relationships between volumes in similar figures
https://corbettmaths.com/2013/11/17/similar-shape-volumes/

R12 Compare lengths, areas and volumes using ratio notation; make links to similarity (including trigonometric ratios) and scale factors
https://corbettmaths.com/2013/11/16/similar-shapes-areas/
https://corbettmaths.com/2013/11/17/similar-shape-volumes/

G2 Use the standard ruler and compass constructions to construct given figures
https://corbettmaths.com/2013/03/26/angle-bisector/
https://corbettmaths.com/2012/08/24/perpendicular-bisector/
https://corbettmaths.com/2013/03/25/perpendicular-from-a-line-to-a-point/
https://corbettmaths.com/2013/03/29/perpendicular-through-a-point-on-a-line/

G2 Construct a perpendicular bisector of a line segment using a ruler and compass
https://corbettmaths.com/2012/08/24/perpendicular-bisector/

G2 Construct a perpendicular to a given line from a given point using a ruler and compass: know that the perpendicular distance from a point to a line is the shortest distance to the line
https://corbettmaths.com/2013/03/25/perpendicular-from-a-line-to-a-point/

G2 Construct a perpendicular to a given line at a given point using a ruler and compass
https://corbettmaths.com/2013/03/29/perpendicular-through-a-point-on-a-line/

G2 Construct an angle bisector using a ruler and compass
https://corbettmaths.com/2013/03/26/angle-bisector/

G2 Use the standard ruler and compass constructions to solve loci problems
https://corbettmaths.com/2013/03/31/loci-part-1/
https://corbettmaths.com/2013/03/31/loci-part-2/
https://corbettmaths.com/2013/03/06/loci-part-3-2/

Year 10 Resources

English

Science

Biology

Chemistry

Physics

Biology (Separate Sciences)

Chemistry (Separate Sciences)

Physics (Separate Sciences)

Mathematics

Foundation

Higher