Maths A2 Unit 2

Can integrate (ax + b)ⁿ by recognition - including definite integrals
Can integrate (ax + b)ⁿ by substitution - including definite integrals

Volumes of revolution

Can integrate more complicated functions by recognition/substitution

Can integrate functions involving e^x

Integration by substitution - integrals that cannot be evaluated using recognition

Can use the change of sign method to locate an interval in which a root lies

Can solve a numerical equation using decimal search

Ex 12C pg 268 Q7

Ex 12C pg 268 Q8-10, 14

Ex 12D pg 274

Ex 6A pg 147 Q4, 5

Can integrate functions that lead to a natural log - either by recognition or substitution

Understand iteration as a method for solving a numerical equation
Understand that the final answer must be checked using the change of sign method

Ex 12E pg284 Q1 - 6, Q10 - 16
(2 seperate lessons next year)

Ex 6B pg 153 Q2, 5, 8

Can differentiate sinx and cosx and use the chain rule
Can find equations of tangents and normals
Can find stationary points and determine their nature

Can differentiate tanx, cotx, secx and cosecx
Can differentiate more complicated functions using the chain, product and quotient rules

Q1a,c,e,g Q2, 4, 6, Q7a,c,e Q8a,c,e Q10, 12

Q1a,c,e,g,I,k Q2, 4 Q8 a,c,e,g,i,k, Q10, 13, 16

Can integrate functions containing sinx, cosx and sec²x by recognition/substitution
Can integrate functions containing secxtanx, cosecxcotx, cosec²x, tanx and cotx

Integrating trig lesson 1 CB
Integrating trig lesson 2 CB

Ex 13A pg 298 Q1-3, 7, 8, 12 - 15

Exam Questions 1 pg 84 Q 1 - 10

Can integrate sin²x and cos²x using the cos2x formulae and integrate sin³x and cos³x using the identity sin²x + cos²x = 1.

Can integrate integrals of the form cosxsinⁿx and sinxcosⁿx by recognition or substitution

Can integrate by parts including lnx
Integration by Parts JEE
Integration by Parts involving lnx JEE - Slide 20 onwards

Ex 13B pg 305 Q1ab, 4 - 8, 10ab

Ex 13C pg 314 Q1ace, 2 - 10

Exam Questions 1 pg 84 Q11 - 20

Can integrate parametric functions to find areas and volumes of revolution
Integrate parametrically CB

Find the general solution of a differential equation using seperation of variables

Find the particular solution to a differential equation

Ex 13D pg 323 Q1 - 6

Ex 14A pg 344 Q 1'odds' Q2 'odds' Q3

Ex 14A pg 345 Q5 - 14

Can form differential equations and solve them
Forming and solving differential equations CB

Week	Details & links	Assessed work / further work
Mon 14th Jan	Wednesday's Lesson Can differentiate using the chain, product and quotient rules Can find equations of tangents and normals Can find stationary points and determine their nature The product and quotient rules Private Study Add, subtract, multiply and divide algebraic fractions Algebraic division	Ex 5D pg122 Q1 'odds' Q2-7, Q8'odds', Q9 'odds' Q10-17 Ex 1C page 9 Q1 - 4
Mon 21st Jan	Wednesday's Lesson Can integrate (ax + b)ⁿ by recognition - including definite integrals Can integrate (ax + b)ⁿ by substitution - including definite integrals Integration by recognition 1 CB Easy Integration by Substitution CB Private Study Volumes of revolution Volumes of Revolution Powerpoint	Ex 12C pg267 Q1 'odds', Q2a, Q3, 4 Ex 12C pg 267 Q1'evens' Q2bc, Q6 Ex 12A pg154 Q4-7
Mon 28th Jan	Monday's Lesson Can integrate more complicated functions by recognition/substitution Can integrate functions involving e^x Integration by recognition 2 CB Integrating e^x CB Wednesday's lesson Integration by substitution - integrals that cannot be evaluated using recognition Harder integration by substitution CB Private Study Can use the change of sign method to locate an interval in which a root lies Can solve a numerical equation using decimal search	Ex 12C pg 268 Q7 Ex 12C pg 268 Q8-10, 14 Ex 12D pg 274 Ex 6A pg 147 Q4, 5
Mon 4th Feb	Wednesday's Lesson Can integrate functions that lead to a natural log - either by recognition or substitution Can integrate using partial fractions Integrating 1/x CB Integration with logs JEE Integration with partial fractions CB Private study Understand iteration as a method for solving a numerical equation Understand that the final answer must be checked using the change of sign method	Ex 12E pg284 Q1 - 6, Q10 - 16 (2 seperate lessons next year) Ex 6B pg 153 Q2, 5, 8
	HALF TERM!!
Mon 18th Feb	Monday's lesson Can differentiate sinx and cosx and use the chain rule Can find equations of tangents and normals Can find stationary points and determine their nature Differentiating trig 1 CB Wednesday's lesson Can differentiate tanx, cotx, secx and cosecx Can differentiate more complicated functions using the chain, product and quotient rules Differentiating trig 2 CB	Ex 5E pg 130 Q1a,c,e,g Q2, 4, 6, Q7a,c,e Q8a,c,e Q10, 12 Ex 5F pg 135 Q1a,c,e,g,I,k Q2, 4 Q8 a,c,e,g,i,k, Q10, 13, 16
Mon 25th Feb	Wednesday's lesson Can integrate functions containing sinx, cosx and sec²x by recognition/substitution Can integrate functions containing secxtanx, cosecxcotx, cosec²x, tanx and cotx Integrating trig lesson 1 CB Integrating trig lesson 2 CB Private study C3 Revision	Ex 13A pg 298 Q1-3, 7, 8, 12 - 15 Exam Questions 1 pg 84 Q 1 - 10
Mon 3rd March	Monday's lesson Can integrate sin²x and cos²x using the cos2x formulae and integrate sin³x and cos³x using the identity sin²x + cos²x = 1. Can integrate integrals of the form cosxsinⁿx and sinxcosⁿx by recognition or substitution Integrating trig lesson 3 CB Wednesday's Lesson Can integrate by parts including lnx Integration by Parts JEE Integration by Parts involving lnx JEE - Slide 20 onwards Private Study C3 Revision	Ex 13B pg 305 Q1ab, 4 - 8, 10ab Ex 13C pg 314 Q1ace, 2 - 10 Exam Questions 1 pg 84 Q11 - 20
Mon 10th March	Wednesday's lesson Can integrate parametric functions to find areas and volumes of revolution Integrate parametrically CB Wednesday's lesson Find the general solution of a differential equation using seperation of variables Solving Differential Equations CB Private Study Find the particular solution to a differential equation	Ex 13D pg 323 Q1 - 6 Ex 14A pg 344 Q 1'odds' Q2 'odds' Q3 Ex 14A pg 345 Q5 - 14
Mon 17th March	Wednesday's lesson Can form differential equations and solve them Forming and solving differential equations CB	Ex 14B Q 1 - 7
	EASTER!!
Mon 7th April
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Mon 21st April
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Tues 6th May
Mon 12th May