Year 12 Transition: Mathematics

Year 11 Preparing for A-level Maths: Helpful Videos and Resources for Working from Home

Topics to Prepare for A-level Maths MathsWatch Clips

 

 Corbett Maths Videos

 

 Corbett Maths Questions
1 Manipulating algebraic expressions 178 – Product of three binomials 15 – Algebra: expanding three brackets Questions
2 Surds 207a – Introduction to Surds

207b – Surds expressions

207c – Surds Rationalising the denominator

 305 – Surds: intro, rules, simplifying

307 – Surds: rationalising denominators

308 – Surds: expanding brackets

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3 Rules of indices 131 – Index Notation

154 – Negative indices

188 – Fractional indices

 

 173 – Indices: fractional

174 – Indices: laws of

175 – Indices: negative

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4 Factorising expressions 158 – The Difference of Two Squares

192 – Factorising Hard Quadratics

 119a – Factorisation: splitting the middle

120 – Factorisation: difference of 2 squares

 

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5 Completing the square 209a – Completing the Square – Basics

209b – Completing the Square – Solving

209c – Completing the Square – Sketching

 10 – Algebra: completing the square

 

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6 Solving quadratic equations 157 – Factorising and Solving Quadratics

191 – Solving Quadratics with the Formula

 266 – Quadratics: solving (factorising)

267 – Quadratics: formula

267a – Quadratics: solving (completing the square)

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7 Sketching quadratic graphs 160 – Roots and Turning Points of Quadratics 265 – Quadratic graphs: sketching using key points

371 – Quadratic graph (completing the square)

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8 Solving linear simultaneous equations 162 – Simultaneous Equations Algebraically 295 – Simultaneous equations (elimination)

296 – Simultaneous equations (substitution, both linear)

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9 Solving quadratic simultaneous equations 211 – Simultaneous Equations with a Quadratic 12 – Algebra: equation of a circle

298 – Simultaneous equations (advanced)

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10 Solving simultaneous equations graphically 140 – Simultaneous Equations Graphically 297 – Simultaneous equations (graphical) Questions
11 Linear inequalities 138 – Inequalities on a Number Line

139 – Solve Linear Inequalities

 180 – Inequalities: graphical y>a or x>a

181 – Inequalities: graphical y>x+a

182 – Inequalities: region

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12 Quadratic inequalities 212 – Solve Quadratic Inequalities 378 – Inequalities: quadratic Questions
13 Sketching cubic and reciprocal graphs 161 – Cubic and Reciprocal Graphs 344 – Types of graph: cubics

346 – Types of graph: reciprocal

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14 Translating graphs 196a – Transformation of Functions – Polynomial Functions

196b – Transformation of Functions – Trigonometric Functions

 323 – Transformations of graphs

 

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15 Straight line graphs 159a – Finding the Equation of a Straight Line – y=mx+c

159b – Finding the Equation – Gradient and Coordinates

 194 – Linear graphs: find equation of a line

195 – Linear graphs: equation through 2 points

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16 Parallel and perpendicular lines 208 – Perpendicular Lines 196 – Linear graphs: parallel lines

197 – Linear graphs: perpendicular lines

372 – Equation of a Tangent to a Circle

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17 Pythagoras’ Theorem 150c – Pythagoras’ Theorem – Line on a Graph

217 – Pythagoras in 3D

 259 – Pythagoras: 3D

260 – Pythagoras: rectangles/isosceles triangles

263 – Pythagoras: distance points

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18 Direct and inverse proportion 199 – Direct and Inverse Proportion 254 – Proportion: direct

255 – Proportion: inverse

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19 Circle theorems 183 – Circle Theorems

184 – Proof of Circle Theorems

 64 – Circle theorems – theorems

65 – Circle theorems – examples

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20 Trigonometry 168 – Trigonometry

173 – Exact Trigonometric Values

195a – Trigonometric Graphs – Sine and Cosine

195b – Trigonometric Graphs – Tangent

201 – The Sine Rule

202 – The Cosine Rule

203 – Area of a Triangle Using Sine

218 – Trigonometry in 3D

 332 – Trigonometry: 3D

338 – Trigonometry: Sine graph

339 – Trigonometry: Cosine graph

340 – Trigonometry: Tangent graph

333 – Trigonometry: sine rule (sides)

334 – Trigonometry: sine rule (angles)

334a – Trigonometry: sine rule (ambiguous case)

335 – Trigonometry: cosine rule (sides)

336 – Trigonometry: cosine rule (angles)

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21 Rearranging equations 190 – Rearranging difficult Formulae

210a – Algebraic Fractions – Simplifying

210b – Algebraic Fractions – Solving

 111 – Equations: involving fractions

111a – Equations: fractional advanced

112 – Equations: cross multiplication

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22 Volume and surface area of 3D shapes 169 – Spheres

170 – Pyramids

171 – Cones

172 – Frustums

 359 – Volume: cone

360 – Volume: pyramid

360a – Volume: Frustum

361 – Volume: sphere

313 – Surface area: sphere

314 – Surface area: cone

315 – Surface area: cylinders

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23 Area under a graph and gradients 216a – Interpreting Graphs – Velocity-Time Graphs

216b – Interpreting Graphs – Rate of Change

 389 – Area under a Graph

390a – Instantaneous Rate of Change

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