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IGCSE Add Maths Year 11

IGCSE Additional Maths Year 11 e learning videos by topics.

Module 1 | Trigonometry - IGCSE Add Maths Year 11 (119.23 mins) |

Know the 6 trigonometric ratios. Understand the base or reference angles.
Special angles. Trigonometric functions – amplitude and periodicity and sketching and drawing of graphs \(y=asinb^x+c\), \(y=acosb^x+c\) and \(y=atanb^x+c\).
Know and use trigonometric identities. Solve trigonometric equations step by step. Prove trigonometric identities. (6 videos) (119.23 mins) | |

Unit 1 | IGCSE Year 11 - Trigonometry PDF |

Unit 2 | IGCSE Year 11 - Trigonometry Video |

Unit 3 | IGCSE Year 11 - Trigonometry Assignment |

Module 2 | Trigonometric differentiation - IGCSE Add Maths Year 11 (29.77 mins) |

This topic should be studied after you have watched differentiation.
This involves using derivatives of \(sinx\), \(cosx\), \(tanx\), \(sin(a^x+b)\), \(cos(a^x+b)\) and \(tan(a^x+b)\). Examples shown step by step. (2 videos) (29.77 mins) | |

Unit 1 | IGCSE Year 11 - Trigonometric differentiation PDF |

Unit 2 | IGCSE Year 11 - Trigonometric differentiation Video |

Unit 3 | IGCSE Year 11 - Trigonometric differentiation Assignment |

Module 3 | Permutations and combinations - IGCSE Add Maths Year 11 (58.25 mins) |

Difference between a permutation and a combination.The multiplication principle. The Blank Space Method to use in permutations. Factorial notation. Lots of fully worked examples. (4 videos) (58.25 mins) | |

Unit 1 | IGCSE Year 11 - Permutations and combinations PDF |

Unit 2 | IGCSE Year 11 - Permutations and combinations Video |

Unit 3 | IGCSE Year 11 - Permutations and combinations Assignment |

Module 4 | Differentiation - IGCSE Add Maths Year 11 (69.7 mins) |

Understand the idea of a derived function. Notation and concepts including limits. Basic differentiation formula and rules of differentiation include product rule and quotient rule.
Apply to differentiation to gradients, tangents and normals. (6 videos) (69.7 mins) | |

Unit 1 | IGCSE Year 11 - Differentiation PDF |

Unit 2 | IGCSE Year 11 - Differentiation Video |

Unit 3 | IGCSE Year 11 - Differentiation Assignment |

Module 5 | Applications of differentiation - IGCSE Add Maths Year 11 (67.07 mins) |

Apply differentiation to gradients, tangents, normals,maximum and minimum points,connected rates of change, small increments and approximations.
Practical maxima and minima problems. (4 videos) (67.07 mins) | |

Unit 1 | IGCSE Year 11 - Applications of differentiation PDF |

Unit 2 | IGCSE Year 11 - Applications of differentiation Video |

Unit 3 | IGCSE Year 11 - Applications of differentiation Assignment |

Module 6 | Differentiation of exponential & logarithmic functions - IGCSE Add Maths Year 11 (34.32 mins) |

Derive \(dy/dx\) for \(e^x\), \(e^{ax+b}\), \(ln x\), \(ln (ax+b)\) and some applications. (3 videos) (34.32 mins) | |

Unit 1 | IGCSE Year 11 - Differentiation of exponential and log functions PDF |

Unit 2 | IGCSE Year 11 - Differentiation of exponential and log functions Video |

Unit 3 | IGCSE Year 11 - Differentiation of exponential and log functions Assignment |

Module 7 | Integration - IGCSE Add Maths Year 11 (60.38 mins) |

Understand integration as the reverse of differentiation. Methods of integration. Definite integrals. (5 videos) (60.38 mins) | |

Unit 1 | IGCSE Year 11 - Integration PDF |

Unit 2 | IGCSE Year 11 - Integration Video |

Unit 3 | IGCSE Year 11 - Integration Assignment |

Module 8 | Integration of trigonometric & exponential functions - IGCSE Add Maths Year 11 (31.55 mins) |

Integrate sum of terms in powers of \(x\)
Integrate functions of the form \(ax^n\), \((ax+b)^n\), \(e^{ax+b}\), \(sin(ax+b)\), \(cos (ax+b)\), \(sec^2 (ax+b)\) (2 videos) (31.55 mins) | |

Unit 1 | IGCSE Year 11 - Integration of trigonometric & exponential functions PDF |

Unit 2 | IGCSE Year 11 - Integration of trigonometric & exponential functions Video |

Unit 3 | IGCSE Year 11 - Integration of trigonometric & exponential functions Assignment |

Module 9 | Areas (evaluation of plane areas) - IGCSE Add Maths Year 11 (60.18 mins) |

Apply integration to evaluation of plane areas. (5 videos) (60.18 mins) | |

Unit 1 | IGCSE Year 11 - Areas PDF |

Unit 2 | IGCSE Year 11 - Areas Video |

Unit 3 | IGCSE Year 11 - Areas Assignment |

Module 10 | Kinematics - IGCSE Add Maths Year 11 (95.85 mins) |

Application of differentiation and integration to problems involving displacement, velocity and acceleration of a particle moving in a straight line with variable or constant acceleration. Use of v-t and s-t graphs. (5 videos) (95.85 mins) | |

Unit 1 | IGCSE Year 11 - Kinematics PDF |

Unit 2 | IGCSE Year 11 - Kinematics Video |

Unit 3 | IGCSE Year 11 - Kinematics Assignment |

Module 11 | Vectors - IGCSE Add Maths Year 11 (85.78 mins) |

Use of vectors in any form. Know and use position vectors and unit vectors.
Find magnitude of a vector. Add and subtract vectors. Multiply vectors by scalars. (6 videos) (85.78 mins) | |

Unit 1 | IGCSE Year 11 - Vectors PDF |

Unit 2 | IGCSE Year 11 - Vectors Video |

Unit 3 | IGCSE Year 11 - Vectors Assignment |

Module 12 | Relative velocity - IGCSE Add Maths Year 11 (99.66 mins) |

Main concepts. Relative velocity equation. Steps to solving relative velocity problems. Compose and resolve velocities. Use relative velocity including solving problems on interception. Fully worked solutions to practical problems. (5 videos) (99.66 mins) | |

Unit 1 | IGCSE Year 11 - Relative velocity PDF |

Unit 2 | IGCSE Year 11 - Relative velocity Video |

Unit 3 | IGCSE Year 11 - Relative velocity Assignment |

IGCSE Add Maths Notes & Formulas

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