**New Topic:** Further Calculus, MiA Unit 3 Ch2

By the end of this topic you will be able to:

• differentiate and integrate functions involving brackets

• differentiate and integrate trig functions

• apply these skills to solve problems

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Filed under: Higher | Tagged: calculus, chain rule, differentiation, integration |

Mr H, on Tuesday 22 February, 2011 at 23:04 said:Wednesday 23 February, periods 5 & 6Starter leading into sketching derived functions for y = sin x and y = cos x.

Define the rule for differentiating sin x and cos x then p221 Ex2A Q1-4, 7,9,11,12.

By second period progress to Ex2B, work through a selection from Q1-4 with class then class fill in gaps.

Aim to cover Q1-4, 6, 8-10 minimum.

Homework Due:Vectors and prelim paperMr H, on Wednesday 23 February, 2011 at 16:49 said:Work covered as detailed above.

Need to revise exact values and using CAST rule – class will be tested on Friday on this.

Mr H, on Wednesday 23 February, 2011 at 21:08 said:Thursday 24 February, period 2Chain Rule Ex3A

By expanding and differentiating squared and cubed brackets develop a rule for taking a short-cut from original function to derived function, i.e. Chain Rule.

(click to enlarge)

Examples will cover Q1-3 so begin at Q4

Mr H, on Thursday 24 February, 2011 at 11:13 said:As above but only a few beyond Q8

Mr H, on Thursday 24 February, 2011 at 11:15 said:Friday 25 February, period 5Exact values test, e.g. sin240, cos 3π/4, etc

Ex3B chain rule involving more algebraic manipulation before and after differentiation step.

Mr H, on Sunday 27 February, 2011 at 23:17 said:Exact values better than expected, those who did not so well had not revised.

Most reached Q8 in textbook.

Will come back and cover Q10 as part of topic review.

Mr H, on Sunday 27 February, 2011 at 23:16 said:Monday 28 February, period 1Short exact values starter.

Using Chain Rule with trig functions Ex 4A

Recap of chain rule with polynomials and differentiating sin/cos.

Selection of examples from Q1-7 then aim to complete remainder within period.

Mr H, on Tuesday 1 March, 2011 at 1:09 said:Up to Q10 covered

Mr H, on Tuesday 1 March, 2011 at 1:09 said:Tuesday 1 March, period 4Recap chain rule for ‘brackets’ and trig and develop rule for integrating brackets.

Aim to complete Ex5

Mr H, on Wednesday 2 March, 2011 at 1:57 said:Most around Q8-10

Ex to be completed for tomorrow

Mr H, on Wednesday 2 March, 2011 at 1:56 said:Wednesday 2 March, periods 5 & 6Period 5: Integrating Trig Functions, Ex6 and definite integrals Ex7 – selected examples from both ex’s

Period 6: Go over questions from 2010 prelim paper class found most challenging.

Also discuss main issues from Vectors HW

Mr H, on Wednesday 2 March, 2011 at 23:18 said:Ex6 Q1(a) to 11(a) & Q15 completed.

Then Ex7 Q1-4 by all, some further on

Spent period 6 discussing Vectors HW and Q23 & 24 from prelim homework.

Homework:Further CalculusDue:Wednesday 9 MarchMr H, on Wednesday 2 March, 2011 at 23:15 said:Thursday 3 March, period 2Class to work on areas from topic that they feel they need more practice on or complete Chapter Review Ex.

While class working I’ll try and see 3/4 pupils for their progress report interview.

Mr H, on Friday 4 March, 2011 at 0:50 said:Done