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Advanced Higher Maths - Algebra & Calculus

This period plan covers topics such as factorials, binomial coefficients, Sigma notation, Pascal’s triangle, the binomial theorem, approximations, complex numbers, partial fractions, differentiation, circular and exponential functions, logarithmic functions, higher derivatives, rectilinear motion, and optimization.

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Advanced Higher Maths - Algebra & Calculus

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  1. S6 Advanced Higher Period Plan Week 37 – Week Beginning 2 June Advanced Higher Unit 1 – Applications in Algebra & Calculus 1∙1 Lesson 1 I can solve problems involving factorials * Maths in Action page 31 Exercise 3∙2 Questions 1 to 6 Lesson 2 I can solve problems involving Binomial coefficients * Maths in Action page 34 Exercise 3∙3 Questions 4 to 7 Lesson 3 I can solve problems involving Sigma Notation and Pascal’s Triangle * Maths in Action page 28 Exercise 3∙1 Questions 1 and 2 I can expand expressions using The Binomial Theorem Lesson 4 * Maths in Action page 36 Exercise 3∙4 Questions 1 and 2 * Stuart Rogan Sheets 01 – Pages 1 & 2 I can find coefficients using The Binomial Theorem Lesson 5 * Maths in Action page 36 Exercise 3∙4 Questions 3 to 5 * Stuart Rogan Sheets 01 – Pages 3 to 5 * Maths in Action page 38 Exercise 3∙5 Questions 1 to 4 I can make approximations using The Binomial Theorem Lesson 6 * Maths in Action page 40 Exercise 3∙6 Questions 1 a-c, 3 Week 38 – Week Beginning 9 June Lesson 1 I can add, subtract and multiply complex numbers. * Maths in Action page 207 Exercise 12∙1 Questions 1, 2, 3, 6, 7, 8 Lesson 2 I can divide and find the square root of complex numbers * Maths in Action page 209 Exercise 12∙2 Questions 1, 2, 3, 5 Advanced Higher Unit 1 – Methods in Algebra & Calculus 1∙1 Lesson 3 I can express an algebraic fractions as Type I Partial Fractions * Maths in Action page 23 Exercise 2∙2 Questions 1 to 20 * Stuart Rogan Sheets 02 – Page 1 I can express an algebraic fractions as Type II Partial Fractions Lesson 4 * Maths in Action page 24 Exercise 2∙3 Questions 1 to 16 * Stuart Rogan Sheets 02 – Page 2 I can express an algebraic fractions as Type III Partial Fractions Lesson 5 * Maths in Action page 25 Exercise 2∙4 Questions 1 to 12 * Stuart Rogan Sheets 02 – Page 3 I can divide one algebraic term by another Lesson 6 * Advanced Higher Maths Website Worksheet * Stuart Rogan Sheets 02 – Page 5

  2. S6 Advanced Higher Period Plan Week 39 – Week Beginning 16 June Lesson 1 I can convert Improper Rational Functions into Partial Fractions * Maths in Action page 26 Exercise 2∙5 Question 1 * Stuart Rogan Sheets 02 – Pages 6 and 7 Advanced Higher Unit 1 – Methods in Algebra & Calculus 1∙2 Lesson 2 I can differentiate an expression from first principles * Maths in Action page 45 Exercise 4∙1 Questions 1 to 8 I can differentiate a function using The Chain Rule Lesson 3 * Maths in Action page 48 Exercise 4∙3 Questions 1 to 5 * Stuart Rogan Sheets 03 – Pages 5 & 6 I can differentiate a function using The Product Rule Lesson 4 * Maths in Action page 51 Exercise 4∙5 Questions 1 to 3 * Stuart Rogan Sheets 03 – Pages 1 & 2 I can differentiate a function using The Quotient Rule Lesson 5 * Maths in Action page 52 Exercise 4∙6 Questions 1 to 4 * Stuart Rogan Sheets 03 – Pages 3 & 4 I can solve mixed differentiation problems Lesson 6 * Maths in Action page 53 Exercise 4∙7 Questions 1 to 5 Week 40 – Week Beginning 23 June Lesson 1 CONSOLIDATION PERIOD Lesson 2 CONSOLIDATION PERIOD Lesson 3 CONSOLIDATION PERIOD Lesson 4 / / / / / / / Lesson 5 / / / / / / / Lesson 6 / / / / / / / SUMMER HOLIDAY

  3. SUMMER HOLIDAY

  4. S6 Advanced Higher Period Plan Week 01 – Week Beginning 12 August Lesson 1 In Service Day Lesson 2 In Service Day I can differentiate a function using The Product Rule Lesson 3 * Maths in Action page 51 Exercise 4∙5 Questions 1 to 3 * Stuart Rogan Sheets 03 – Pages 1 & 2 I can differentiate a function using The Quotient Rule Lesson 4 * Maths in Action page 52 Exercise 4∙6 Questions 1 to 4 * Stuart Rogan Sheets 03 – Pages 3 & 4 Lesson 5 I can differentiate circular functions * Maths in Action page 55 Exercise 4∙8 Questions 1 to 3 * Stuart Rogan Sheets 03 – Pages 3 & 4 I can differentiate exponential functions Lesson 6 * Maths in Action page 58 Exercise 4∙9 Questions 1 to 5 (exp only) * Stuart Rogan Sheets 03 – Pages 7 & 8 Week 02 – Week Beginning 19 August I can differentiate logarithmic functions Lesson 1 * Maths in Action page 58 Exercise 4∙9 Questions 1 to 5 (log only) * Stuart Rogan Sheets 03 – Pages 9 & 10 I can find higher derivatives of functions Lesson 2 * Maths in Action page 60 Exercise 4∙10 Questions 1 to 4 * Stuart Rogan Sheets 03 – Pages 11 to 13 Lesson 3 I can solve differentiation problems involving rectilinear motion * Maths in Action page 187 Exercise 11∙1 Questions 1 to 3 Lesson 4 I can determine the nature of SPs using second derivative * Maths in Action page 70 Exercise 5∙5 Questions 1 and 2 Lesson 5 I can evaluate global extrema for piecewise functions * Maths in Action page 71 Exercise 5∙6 Questions 1 and 2 I can solve problems involving optimisation Lesson 6 * Old Maths in Action (Blue Book 1) page 63 Exercise 5∙6 Questions 1 and 2 * Maths in Action page 200 Exercise 11∙4 Questions 1, 2, 4 and 6.

  5. S6 Advanced Higher Period Plan Week 03 – Week Beginning 26 August I can solve problems involving optimisation Lesson 1 * Old Maths in Action (Blue Book 1) page 63 Exercise 5∙6 Questions 1 and 2 * Maths in Action page 200 Exercise 11∙4 Questions 1, 2, 4 and 6. Lesson 2 I can find the derivative of an inverse function. * Maths in Action page 84 Exercise 6∙1 Question 1 I can find the derivative of an inverse trig function. Lesson 3 * Maths in Action page 85 Exercise 6∙2 Questions 1 to 3 * Stuart Rogan Sheets 04 – Page 1 Question 1 I can use the product and quotient rule with an inverse trig function. Lesson 4 * Maths in Action page 86 Exercise 6∙3 Questions 1 to 3 * Stuart Rogan Sheets 04 – Page 1 Questions 2 to 6 I can find the derivative of an implicit function. Lesson 5 * Maths in Action page 89 Exercise 6∙4 Questions 1 and 2 * Stuart Rogan Sheets 04 – Pages 3 and 4. Lesson 6 I can find the derivative of an implicit function. * Maths in Action page 89 Exercise 6∙4 Questions 4, 5 and 9 * Stuart Rogan Sheets 04 – Pages 3 and 4. Week 04 – Week Beginning 2 September I can find the second derivative of an implicit function. Lesson 1 * Maths in Action page 90 Exercise 6∙5 Questions 1 and 6 * Stuart Rogan Sheets 04 – Page 4 Questions 15 to 20 Lesson 2 I can find the derivative using logarithmic differentiation. * Maths in Action page 92 Exercise 6∙6 Questions 1 and 2 * Stuart Rogan Sheets 04 – Pages 7 and 8 Lesson 3 I can solve problems involving parametric equations. * Maths in Action page 95 Exercise 6∙7 Questions 1 and 2 I can find the first derivative of a system of parametric equations Lesson 4 * Maths in Action page 96 Exercise 6∙8 Questions 1 to 3 [First derivatives only] * Stuart Rogan Sheets 04 – Pages 9 to 12 I can find the second derivative of a system of parametric equations Lesson 5 * Maths in Action page 96 Exercise 6∙8 Questions 1 to 3 [Second derivatives – no concavity] * Stuart Rogan Sheets 04 – Pages 9 to 12 Questions 9 to 11 Lesson 6 I can find velocity and acceleration from a system of parametric equations * Maths in Action page 193 Exercise 11∙2 Questions 1 to 3

  6. S6 Advanced Higher Period Plan Week 05 – Week Beginning 9 September Advanced Higher Unit 1 – Applications in Algebra & Calculus 1∙4 Lesson 1 I can state a suitable domain and range for a given function * Maths in Action page 64 Exercise 5∙1 Questions 1 to 3 Lesson 2 I can sketch the modulus function for a given function * Maths in Action page 66 Exercise 5∙2 Questions 1 to 9 Lesson 3 I can find the inverse of a given function. * Maths in Action page 67 Exercise 5∙3 Questions 1 to 3 Lesson 4 I can sketch a given inverse trig function * Maths in Action page 68 Exercise 5∙4 Questions 1 to 3 Lesson 5 I can solve problems involving odd and even functions * Maths in Action page 74 Exercise 5∙8 Questions 1, 3 and 2 Lesson 6 I can solve problems involving concavity * Maths in Action page 73 Exercise 5∙7 Questions 1 to 4. Week 06 – Week Beginning 16 September Lesson 1 HOLIDAY Lesson 2 HOLIDAY Lesson 3 I can solve problems involving vertical asymptotes * Maths in Action page 75 Exercise 5∙9 Question 1 Lesson 4 I can solve problems involving horizontal and oblique asymptotes * Maths in Action page 76 Exercise 5∙10 Question 1 I can fully solve curve sketching problems Lesson 5 * Maths in Action page 77 Exercise 5∙11 Question 1 * Stuart Rogan Sheets 05 – Pages 1 to 7 I can fully solve curve sketching problems Lesson 6 * Maths in Action page 77 Exercise 5∙11 Question 1 * Stuart Rogan Sheets 05 – Pages 1 to 7

  7. S6 Advanced Higher Period Plan Week 07 – Week Beginning 23 September Advanced Higher Unit 1 – Geometry Proof & Systems 1∙1 Lesson 1 I can identify redundancy and inconsistency in a 2 x 2 system * Maths in Action page 260 Exercise 14∙1 Question 1 * Maths in Action page 261 Exercise 14∙2 Questions 1 & 2 Lesson 2 I can use Gaussian Elimination to solve a 3 x 3 system * Maths in Action page 265 Exercise 14∙4 Question 1 * Stuart Rogan Sheets 06 – Pages 1 & 2. Lesson 3 I can identify redundancy and inconsistency in a 3 x 3 system * Maths in Action page 268 Exercise 14∙6 Questions 1 to 4 Lesson 4 I can identify a system that is ill-conditioned * Maths in Action page 274 Exercise 14∙9 Questions 1 and 2 I can perform basic operations on matrices Lesson 5 * Maths in Action page 231 Exercise 13∙1 Questions 1 to 10 * Stuart Rogan Sheets 07 – Pages 1 to 3. I can multiply one matrix by another Lesson 6 * Maths in Action page 235 Exercise 13∙3 Questions 1 to 5 * Stuart Rogan Sheets 07 – Pages 5 and 6. Week 08 – Week Beginning 30 September I can solve problems involving matrix multiplication Lesson 1 * Maths in Action page 238 Exercise 13∙5 Questions 6 to 9 * Stuart Rogan Sheets 07 – Pages 5 and 6. Lesson 2 I can identify symmetric, skew-symmetric and orthogonal matrices * Maths in Action page 238 Exercise 13∙5 Questions 11 to 16 I can find the inverse of a 2 x 2 matrix Lesson 3 * Maths in Action page 243 Exercise 13∙7 Questions 1 to 10 * Stuart Rogan Sheets 06 – Pages 11 & 12 Questions 1 to 3 * Stuart Rogan Sheets 06 – Pages 13 & 14 Questions 1 to 8. I can find the inverse of a 2 x 2 matrix Lesson 4 * Maths in Action page 243 Exercise 13∙7 Questions 1 to 10 * Stuart Rogan Sheets 06 – Pages 11 & 12 Questions 1 to 3 * Stuart Rogan Sheets 06 – Pages 13 & 14 Questions 1 to 8. Lesson 5 I can use the factorisation of matrices to solve problems * Maths in Action page 244 Exercise 13∙8 Questions 1, 2, 5, 8 and 9 I can find the determinant of a 3 x 3 matrix Lesson 6 * Maths in Action page 247 Exercise 13∙9 Questions 4 and 5 * Stuart Rogan Sheets 06 – Pages 11 to 13 Questions 4 to 12.

  8. S6 Advanced Higher Period Plan Week 09 – Week Beginning 7 October I can use elementary row operations to find the inverse of a 3 x 3 matrix Lesson 1 * Maths in Action page 275 Exercise 14∙10 Questions 1 and 2 * Stuart Rogan Sheets 06 – Pages 13 & 14 Questions 9 to 14. I can use elementary row operations to find the inverse of a 3 x 3 matrix Lesson 2 * Maths in Action page 275 Exercise 14∙10 Questions 1 and 2 * Stuart Rogan Sheets 06 – Pages 13 & 14 Questions 9 to 14. Lesson 3 I can solve problems involving transformation matrices * Maths in Action page 251 Exercise 13∙10 Questions 1, 2 and 5 Lesson 4 I can solve problems involving a composition of transformations * Maths in Action page 255 Exercise 13∙12 Questions 1 to 4 Lesson 5 / / / / / / / / / / / / / / / / / Lesson 6 / / / / / / / / / / / / / / / / / OCTOBER HOLIDAY Week 10 – Week Beginning 21 October Lesson 1 In Service Day Lesson 2 Revision for Unit 1 Assessment Lesson 3 Revision for Unit 1 Assessment Lesson 4 UNIT 1 ASSESSMENT Lesson 5 Revision Lesson 6 UNIT 1 EXTENDED TEST PAPER 1

  9. S6 Advanced Higher Period Plan Week 11 – Week Beginning 28 October Lesson 1 UNIT 1 EXTENDED TEST PAPER 2 Lesson 2 Go over Extended Test Advanced Higher Unit 2 – Methods in Algebra & Calculus 1∙3 Lesson 3 I can evaluate various standard integrals. * Maths in Action page 100 Exercise 7∙1 Questions 1 and 2 * Stuart Rogan Sheets 08 – Page 1 Questions 1 and 2. I can evaluate further standard integrals. Lesson 4 * Maths in Action page 100 Exercise 7∙1 Questions 3 and 4 * Stuart Rogan Sheets 08 – Pages 1 to 3 Questions 3 to 9. I can carry out integration by substitution. Lesson 5 * Maths in Action page 103 Exercise 7∙2 Question 1 * Stuart Rogan Sheets 08 – Pages 2 to 3 I can integrate using a given substitution Lesson 6 * Maths in Action page 105 Exercise 7∙3 Questions 2, 4, 6 and 7 * Stuart Rogan Sheets 08 – Pages 5 to 7 Week 12 – Week Beginning 4 November I can integrate using a given substitution Lesson 1 * Maths in Action page 105 Exercise 7∙3 Questions 2, 4, 6 and 7 * Stuart Rogan Sheets 08 – Pages 5 to 7 I can calculate definite integrals using a given substitution Lesson 2 * Maths in Action page 107 Exercise 7∙4 Question 1 * Stuart Rogan Sheets 08 – Page 6 Questions 8 and 9 Lesson 3 I can find the area between a curve and the y-axis * Maths in Action page 120 Exercise 7∙10 Questions 1, 3, 6, 7 I can integrate inverse trig functions Lesson 4 * Maths in Action page 111 Exercise 7∙6 Questions 1 to 4 * Stuart Rogan Sheets 09 – Pages 1 and 2. I can integrate a rational function Lesson 5 * Maths in Action page 113 Exercise 7∙7 Questions 1 to 6 * Stuart Rogan Sheets 09 – Pages 3 and 4 I can integrate a rational function Lesson 6 * Maths in Action page 113 Exercise 7∙7 Questions 1 to 6 * Stuart Rogan Sheets 09 – Pages 3 and 4

  10. S6 Advanced Higher Period Plan Week 13 – Week Beginning 11 November I can integrate by parts Lesson 1 * Maths in Action page 116 Exercise 7∙8 Questions 1 and 2 * Stuart Rogan Sheets 09 – Page 7 Questions 1 to 8. I can use repeated integration by parts to solve problems Lesson 2 * Maths in Action page 116 Exercise 7∙8 Questions 5 and 6 * Maths in Action page 118 Exercise 7∙9 Questions 1 and 2 * Stuart Rogan Sheets 09 – Pages 7 and 8 Questions 9 to 13. I can use repeated integration by parts to solve problems Lesson 3 * Maths in Action page 116 Exercise 7∙8 Questions 5 and 6 * Maths in Action page 118 Exercise 7∙9 Questions 1 and 2 * Stuart Rogan Sheets 09 – Pages 7 and 8 Questions 9 to 13. Advanced Higher Unit 2 – Applications in Algebra & Calculus 1∙5 Lesson 4 I can find the volume of revolution for a given function and limits * Maths in Action page 120 Exercise 7∙10 Questions 11 and 12 * Stuart Rogan Sheets 08 – Pages 11 to 13. Lesson 5 I can integrate to find velocity and displacement * Maths in Action page 187 Exercise 11∙1 Questions 1 to 8 Advanced Higher Unit 2 – Geometry Proof & Systems 1∙3 Lesson 6 I can use an Argand diagram to represent a complex number * Maths in Action page 211 Exercise 12∙3 Questions 3, 6 and 7 * Stuart Rogan Sheets 10 – Page 3 Questions 1 and 2. Week 14 – Week Beginning 18 November I can solve problems involving loci on the complex plane Lesson 1 * Maths in Action page 213 Exercise 12∙4 Questions 1, 3 and 4 * Stuart Rogan Sheets 10 – Pages 17 and 18. I can multiply and divide complex numbers in polar form Lesson 2 * Maths in Action page 215 Exercise 12∙5 Question 1 * Stuart Rogan Sheets 10 – Page 5. I can use de Moivre’s Theorem to express complex numbers in polar form Lesson 3 * Maths in Action page 218 Exercise 12∙6 Questions 1 to 4 * Stuart Rogan Sheets 10 – Pages 7 and 8. I can expand Trig formulae using de Moivre’s Theorem Lesson 4 * Maths in Action page 219 Exercise 12∙6 Questions 5 to 7 * Stuart Rogan Sheets 10 – Page 13. I can find the nth roots of a complex number Lesson 5 * Maths in Action page 222 Exercise 12∙7 Question 2 (a to f) * Stuart Rogan Sheets 10 – Page 9. I can find all n roots of a polynomial of degree n (Fundamental Theorem of Algebra) Lesson 6 * Maths in Action page 224 Exercise 12∙8 Question 2 to 6 * Stuart Rogan Sheets 10 – Pages 11 and 12.

  11. S6 Advanced Higher Period Plan Week 15 – Week Beginning 25 November Advanced Higher Unit 2 – Applications in Algebra & Calculus 1∙2 Lesson 1 I can solve problems involving recurrence relations * Old Maths in Action 2 (Blue Book) page 115 Exercise 1 I can solve problems involving arithmetic sequences Lesson 2 * Maths in Action page 151 Exercise 9∙1 Questions 1 to 4, 6 * Stuart Rogan Sheets 11 – Pages 11 and 12. I can solve problems involving arithmetic series Lesson 3 * Maths in Action page 153 Exercise 9∙2 Questions 1, 3 to 5 * Stuart Rogan Sheets 11 – Pages 13 and 14. I can solve problems involving geometric sequences Lesson 4 * Maths in Action page 156 Exercise 9∙3 Questions 1 to 3, 5 * Stuart Rogan Sheets 11 – Page 15. I can solve problems involving geometric series (sum to n terms) Lesson 5 * Maths in Action page 159 Exercise 9∙4 Questions 1 to 4 * Stuart Rogan Sheets 11 – Page 17 Questions 1, 5 to 11. I can solve problems involving geometric series (sum to infinity) Lesson 6 * Maths in Action page 162 Exercise 9∙5 Questions 1 to 4, 6 * Stuart Rogan Sheets 11 – Page 17 Questions 12 to 17 * Stuart Rogan Sheets 11 – Pages 19 and 20. Week 16 – Week Beginning 2 December I can expand 1/(1-x) and other related series Lesson 1 * Old Maths in Action 2 (Blue Book) page 134 Exercise 7A Questions 4 and 2 * Old Maths in Action 2 (Blue Book) page 134 Exercise 7B Questions 1a and 2. I can find the Maclaurin series for a given function Lesson 2 * Maths in Action page 179 Exercise 10∙5 Questions 1 and 3 * Stuart Rogan Sheets 12 – Page 1. I can find further Maclaurin series Lesson 3 * Maths in Action page 179 Exercise 10∙5 Questions 1 and 3 * Stuart Rogan Sheets 12 – Page 1. Lesson 4 I can devise a power series for a composite function * Maths in Action page 182 Exercise 10∙7 Questions 1, 2, 3, 6, 7, and 8 Advanced Higher Unit 2 – Geometry Proof & Systems 1∙4 Lesson 5 I can use The Euclidean Algorithm to find the greatest common divisor * Maths in Action page 318 Exercise 16∙3 Question 1. Lesson 6 I can use The Euclidean Algorithm to express the gcd in the form ax + by * Maths in Action page 320 Exercise 16∙4 Questions 1 to 4

  12. S6 Advanced Higher Period Plan Week 17 – Week Beginning 9 December Lesson 1 I can change numbers from another base to base 10 * Maths in Action page 322 Exercise 16∙5 Question 1. Lesson 2 I can change numbers from base 10 to another base * Maths in Action page 322 Exercise 16∙5 Question 2. Lesson 3 Revision for Unit 2 Assessment Lesson 4 Revision for Unit 2 Assessment Lesson 5 UNIT 2 ASSESSMENT Lesson 6 Revision Week 18 – Week Beginning 16 December Lesson 1 UNIT 2 EXTENDED TEST PAPER 1 Lesson 2 UNIT 2 EXTENDED TEST PAPER 2 Lesson 3 / / / / / / / / / / / / Lesson 4 / / / / / / / / / / / / Lesson 5 / / / / / / / / / / / / Lesson 6 / / / / / / / / / / / / CHRISTMAS HOLIDAY

  13. S6 Advanced Higher Period Plan Week 19 – Week Beginning 6 January Lesson 1 In Service Day Lesson 2 In Service Day Lesson 3 Go over Extended Test Advanced Higher Unit 3 – Geometry Proof & Systems 1∙2 Lesson 4 I can solve vectors problems from Nat 5 and Higher Maths * Maths in Action page 282 Exercise 15∙1 Questions 1 to 9. Lesson 5 I can solve problems involving the vector product * Maths in Action page 282 Exercise 15∙3 Questions 1 to 5. Lesson 6 I can solve problems involving the vector product * Maths in Action page 282 Exercise 15∙3 Questions 6 to 8, 10 and 12 Week 20 – Week Beginning 13 January I can solve problems involving the equation of a 3D line Lesson 1 * Maths in Action page 298 Exercise 15∙8 Questions 1 to 3, 5 * Maths in Action page 298 Exercise 15∙9 Question 2. Lesson 2 I can solve problems involving the intersection of two lines in 3D * Maths in Action page 302 Exercise 15∙11 Questions 1 and 2 Lesson 3 Revision for Prelim Lesson 4 Revision for Prelim Lesson 5 Revision for Prelim Lesson 6 Revision for Prelim

  14. S6 Advanced Higher Period Plan Week 21 – Week Beginning 20 January Lesson 1 S5/6 PRELIMS Lesson 2 S5/6 PRELIMS Lesson 3 S5/6 PRELIMS Lesson 4 S5/6 PRELIMS Lesson 5 S5/6 PRELIMS Lesson 6 S5/6 PRELIMS Week 22 – Week Beginning 27 January Lesson 1 Go over Prelim Lesson 2 Go over Prelim Lesson 3 I can find the distance of a 3D line from a point * Old Maths in Action 3 (Blue Book) page 75 Exercise 14 Questions 1 to 3 Lesson 4 I can solve problems involving the equation of a plane * Maths in Action page 291 Exercise 15∙5 Questions 1 to 4, 9 and 10 Lesson 5 I can solve problems involving the intersection of a line and a plane * Maths in Action page 300 Exercise 15∙10 Questions 1 to 4 Lesson 6 I can find the line of intersection between two planes * Maths in Action page 300 Exercise 15∙12 Questions 1 and 2.

  15. S6 Advanced Higher Period Plan Week 23 – Week Beginning 3 February Lesson 1 I can calculate the angle between two planes * Maths in Action page 293 Exercise 15∙6 Questions 1 to 3. Lesson 2 I can solve problems involving the intersection of three planes * Maths in Action page 307 Exercise 15∙13 Questions 1 and 2 Advanced Higher Unit 3 – Methods in Algebra & Calculus 1∙4 Lesson 3 I can solve basic differential equations * Maths in Action page 128 Exercise 8∙1 Questions 1 (a to l) and 2 (a to f) Lesson 4 I can solve differential equations by separating variables * Maths in Action page 128 Exercise 8∙1 Questions 1 (m to r) and 2 (g to n) * Stuart Rogan Sheets 13 – Pages 3 and 4. I can solve differential equations in context by separating variables Lesson 5 * Maths in Action page 131 Exercise 8∙2 Questions 2, 4 to 6 Lesson 6 I can solve first order linear ordinary differential equations (by Integrating Factor) * Maths in Action page 136 Exercise 8∙3 Questions 1 and 2 Week 24 – Week Beginning 10 February Lesson 1 I can solve first order linear ordinary differential equations (by Integrating Factor) * Maths in Action page 136 Exercise 8∙3 Questions 1 and 2 Lesson 2 I can find a particular solution to a first order linear ordinary differential equation * Maths in Action page 136 Exercise 8∙3 Question 3 Lesson 3 I can solve second order ordinary differential equations (2 real roots) * Maths in Action page 140 Exercise 8∙4 Questions 1 and 2 Lesson 4 I can solve second order ordinary differential equations (1 repeated real root) * Maths in Action page 141 Exercise 8∙5 Questions 1 and 2 Lesson 5 I can solve second order ordinary differential equations (non real roots) * Maths in Action page 142 Exercise 8∙6 Questions 1 and 2 Lesson 6 / / / / / / / / / / / / FEBRUARY HOLIDAY

  16. S6 Advanced Higher Period Plan Week 25 – Week Beginning 24 February Lesson 1 I can solve non homogenous second order differential equations * Maths in Action page 146 Exercise 8∙9 Question 1 Lesson 2 I can find a particular solution to a non homogenous 2nd order differential eqn * Maths in Action page 146 Exercise 8∙9 Question 2 Advanced Higher Unit 3 – Geometry Proof & Systems 1∙5 Lesson 3 I can use direct proof to prove a statement * Advanced Higher Maths Website – Proof Exercises 1 and 2 Lesson 4 I can use direct proof to prove a statement * Advanced Higher Maths Website – Proof Exercises 1 and 2 Lesson 5 I can use proof by contradiction to prove a statement * Advanced Higher Maths Website – Proof Exercise 5 Lesson 6 I can use proof by contrapositive to prove a statement * Advanced Higher Maths Website – Proof Exercise 6 Week 26 – Week Beginning 3 March Lesson 1 I can use a counterexample to disprove a statement * Advanced Higher Maths Website – Proof Exercises 3 and 4 Lesson 2 I can solve various problems involving proof. * Advanced Higher Maths Website – Proof Exercises 1 to 6 Advanced Higher Unit 3 – Applications in Algebra & Calculus 1∙3 Lesson 3 I can evaluate an expression using sigma notation * Maths in Action page 168 Exercise 10∙1 Questions 1 and 2 * Stuart Rogan Sheets 11 – Page 1. Lesson 4 I can use proof by induction to prove a statement * Stuart Rogan Sheets 15 – Page 1 Questions 1 to 10. Lesson 5 I can use proof by induction to prove a statement * Stuart Rogan Sheets 15 – Page 1 Questions 1 to 10. I can use proof by induction to prove a recurrence relation Lesson 6 * Advanced Higher Maths Website – Proof Exercise 7 Questions 3, 4, 5, 6 * Maths in Action page 17 Exercise 1∙5 Questions 1 to 3.

  17. S6 Advanced Higher Period Plan Week 27 – Week Beginning 10 March I can use proof by induction to prove divisibility Lesson 1 * Stuart Rogan Sheets 15 – Page 1 Questions 11 and 12 * Advanced Higher Maths Website – Proof Exercise 7 Question 2 * Maths in Action page 17 Exercise 1∙5 Questions 8 and 9. I can use proof by induction to prove inequality Lesson 2 * Advanced Higher Maths Website – Proof Exercise 7 Questions 1 and 7 * Maths in Action page 17 Exercise 1∙5 Question 6. Lesson 3 I can use proof by induction to prove De Moivre’s Theorem and you better applaud! Lesson 4 Revision for Unit 3 Assessment Lesson 5 Revision for Unit 3 Assessment Lesson 6 UNIT 3 ASSESSMENT Week 28 – Week Beginning 17 March Lesson 1 Revision Lesson 2 Revision Lesson 3 UNIT 3 EXTENDED TEST PAPER 1 Lesson 4 UNIT 3 EXTENDED TEST PAPER 1 Lesson 5 Revision & Past Papers Lesson 6 Revision & Past Papers

  18. S6 Advanced Higher Period Plan Week 29 – Week Beginning 24 March Lesson 1 Revision & Past Papers Lesson 2 Revision & Past Papers Lesson 3 Revision & Past Papers Lesson 4 Revision & Past Papers Lesson 5 Revision & Past Papers Lesson 6 Revision & Past Papers Week 30 – Week Beginning 31st March Lesson 1 Revision & Past Papers Lesson 2 Revision & Past Papers Lesson 3 Revision & Past Papers Lesson 4 Revision & Past Papers Lesson 5 Revision & Past Papers Lesson 6 Revision & Past Papers EASTER HOLIDAY

  19. S6 Advanced Higher Period Plan Week 31 – Week Beginning 21st April Lesson 1 Revision & Past Papers Lesson 2 Revision & Past Papers Lesson 3 S5/6 EXAM LEAVE Lesson 4 S5/6 EXAM LEAVE Lesson 5 S5/6 EXAM LEAVE Lesson 6 S5/6 EXAM LEAVE Week 32 – Week Beginning 28 April Lesson 1 S5/6 EXAM LEAVE Lesson 2 S5/6 EXAM LEAVE Lesson 3 S5/6 EXAM LEAVE Lesson 4 S5/6 EXAM LEAVE Lesson 5 S5/6 EXAM LEAVE Lesson 6 S5/6 EXAM LEAVE

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