Fri1st/Tues 5th - The TRapezium Rule

LEARNING OBJECTIVE: TO Understand how to work out the area underneat a curve approximately using the trapezium rule

SUCCESS CRITERIA: You will be able to approximate the area under a curve using the trapezium rule

LESSON: Work thorugh this Mymthas Lesson

HOMEWORK: AFter worked though this lesson you should be able to solve all the questions in Ex 11E (Homework for Friday 8th March)

Tues 26th Feb -Review of C2 Differentiation Problems and Finding Area between two Curves

LEARNING OBJECTIVE: You will discover how to use integration to find the area between two curves

SUCCESS CRITERIA: You will be able to use integration techniques to find the area between two curves.

STARTER: YHomework record on IWB - Discussion, then use q5 from Ex 9b and q4 from Ex 9c to revise techniques and point out areas of weaknesses in student answers to homeworks.

Solutions must be presented in a way that is easy to follow, examiners WILL NOT look to find solutions in jumbled up responses.

LESSON: Use this lesson to show how to find the area between a line and a curve (No need to do area between two curves NOT in C2). Then look at Example 6 and Example 7 in text book

HOMEWORK: Ex  11D (For March 8th)

NB I will not be in lesson on Thursday, You must attend as a memebr of staff will be on cover and will take the register. Please use the time to work on this exercise (or the work that is due in for FRiday of this week - Exercises PLUS C1 Paper)

Wed 26th Feb C4 Integration

LEARNING OBJECTIVE: Discover how to Integrate Sine, Cosine and other trig Functions and how to integrate some expressions using inspection (guesswrok) techniques

LESSON: USe these lessons to develop integration skills
1. Integration of Sine and Cosine
2. Integration by Inspection
3. Integration of Exp(x) and 1/x
4. Integration of Trig Functions

Using this knowledge and the list of standard integrals on page 88 of text book (some of which are in Formula Booklet), have a go at Ex 6A page 89

Fri 15th Feb - Time to solve problems

Today STudents have a chance to practice all concepts and techniques taught during the week.

Thurs 14th Feb - Area under a curve & Negative Areas!

LEARNING OBJECTIVE: Consolidtae the notition of using INtegration to find the area under a curve and how to deal with negative areas.

SUCCESS CRITERIA: You willi be able to find the area under a curve using integration

LESSON: Consolidate Tuesdays Lesson using screen 7 Onwards from this lesson
Then work through This Lesson to show how to deal with areas under a cuirve when they are all or partial below the x - axis

HALF TERM HOMEWORK REMINDER: - Deadline is Feb 29th
From C1 EX 8C, 8D, 8E plus 8F Question 9
From C2 Ex 11A, 11B, 11C

PLUS Attempt  the C1 paper

Y13 - Weds 13th Feb - Using the binomial expansion for more complicated expressions and Fractions

LEARNING OBJECTIVES: Discover how the binomial expansion can help find approximate expansions for more complicated examples and fractions

SUCCESS CRITERIA: You will be able to utilise the binomial expansion to solve more comples problems

LESSON: USe this lesson to explore more difficult uses of the binomial expansion

PLENARIES: SUpport when having as go at on screen expansions, checking solutions

HOMEWORK: EX  3B,3C, 3D Plus 2 exam questoins (of your choice) from Ex 3D

Y12 - Tues 12th - Finding Particular Solutions

LEARNING OBJECTIVE: Discover how to find the particular solution when we know a point onf the given line.

SUCCESS CRITERIA: You will be able to solve a variety of problems when given a differential equation and a particular point on the line

LESSON: Revision of Integration and quick look at types of questions in Ex 8C and 8D.

Now work thorugh This Lesson

If time look at area under a curve via this lesson

PLENARIES: SUccess of on screen questionsm,support at desks, checking answers....

Fri 8th Feb - Introduction to Integration

LEARNING OBJECTIVE: To Discover how to undo differentiating by Integrating

SUCCESS CRITERIA: You will be able to write down the INdefinite Integral if you are given a differential equation

LESSON: Work thorugh this MYmaths Lesson, then have a go at Ex 8A and 8B in C1 text Book.

PLENARIES: Q&A of Students , contributions to lesson, answers to questions

Thurs 7th Feb - Applications of being able to find turning points using the second derivative

LEARNING OBJECTIVE: To consolidate understanding of how the second derivative can help in establishing what kind of turning point we have and practical examples of these techniques

SUCCESS CRITERIA: You will be able to establish turhing pints, describe whether they are max, min or inflexions and be able to use these techniques to solve real problems.

STARTER: Use Fooplot to explore the relationship betweeen a function its first and second derivative.

Now work thorugh this lesson to consolidate th4e use of the second derivative and its applications

PLENARY: Student feedback, answers to onscreen questions..

HOMEWORK: C2 Ex 9A, page 130/131,ex 9B and ex 9C

Year 13 - Imporoper Fractions to Partioal Fractions and

LEARNING OBJECTIVE: How to deal with an improper polynomial fraction. Using the binomial expansion to deal with fractional and negative powers

SUCCESS CRITERIA: You will be able to express an improper fraction as a quotient and partial fractions and you will be able use the binomial expansion ti deal with fractional and negative powers..

LESSON: Dealing with an Improper fraction, Using Binomial Expansino to deal with negative and fractional Indices
Ex 1E and 1F and 3A and 3B

Yr 12 - Increasing and decreasing functions, Finding Turning Points and Inflections

LEARNING OBJECTIVE: To Discover what is meant by and increasing function and a decreasing function and how to use the second derivative to find turning points and inflections.

SUCCESS CRITERIA: You will be able to find functions or sections of functions that are increasing (or decreasing) and also find maximum, minimum and inflections of  functions using second derivative and/or increasing/decreasing functions.

LESSON: Turning Points, Using Second Derivative

HOMEWORK: C2 Ex 9A, page 130/131,ex 9B and ex 9C