Weds 6th – Revision of Chapters 1,3 & 4 – Periods 2

Weds 6^th July – Revision of Chapters 1,3 & 4 – Periods 2

Laptops are booked for this lesson and will be in Maths Room 1 waiting. Please leave them in Maths Room 1 at the end of the lesson after students have replaced them all tidily.

LEARNING OBJECTIVE: You will use the skills and knowledge learned over the last month to complete online tasks

SUCCESS CRITERIA: You will gain 80% plus in all 7 online tasks

LESSON: Collect a laptop and logon to Mymaths where I have set 7 online tasks covering the work we have done in Chapters 1,3 & 4.

If you do not get 80% plus (A green traffic Light) you must repeat the task until you do.

Should there be any issues using laptops then complete the list of exercises below:

Chapter 1 – Mixed Exercise page 10 & 11 Ex 1E

Chapter 3 Mixed Exercises page 41 – 43 Ex 3C

Chapter 4 Mixed Exercise page55 – 57 Ex 4Cin the time allocated start working

Should you complete all that within the time start working on the review exercise on pages 58 – 62, which review the whole first half of the C3 course

PLENARY: The online tasks give feedback regards correct answers whenever a student clicks on the 'mark' button or moves onto another page of tasks.

Weds 29th June – Revision of Chapters 1, 3 & 4

LEARNING OBJECTIVE: You will use the skills and knowledge learned over the last month to solve problems

SUCCESS CRITERIA: You will be able to answer all Questions in Mixed exercises in Chap 1,3 & 4

In The last few lessons of this term (6 Lessons in total) you have to complete the following

Chapter 1 – Mixed Exercise page 10 & 11 Ex 1E

Chapter 3 Mixed Exercises page 41 – 43 Ex 3C

Chapter 4 Mixed Exercise page55 – 57 Ex 4Cin the time allocated start working

Plus all Mymaths Homework tasks I have set.

Should you complete all that within the time start working on the review exercise on pages 58 – 62, which review the whole first half of the C3 course.

Fri June 24th – Numerical Methods –Finding roots of an equation using an iterative procedure

LEARNING OBJECTIVE: You will discover how rearranging a function can lead to an iterative formulae that can be used to quickly find the value of the root of an equation

SUCCESS CRITERIA: You will be able to state that a root of an equation lies between two values and also determine an iterative formula that will lead to a solution of an equation to a particular accuracy

STARTER: You have 15 mins to have a go at question 1 from ex 4A page 48 (Ex 4A to be completed by Next Wednesday. Show how to use Excel to build formulae and list solutions rapidly

LESSON: Work slowly through this MyMaths Lesson (leave the last screen for the plenary at the end of the second lesson.

After working on the iWB together using the MyMaths lesson and practicing putting iterative formulae into your calculator start working through Ex 4B (4B to be completed by Friday of Next Week (You will have to leave it with Mr Nathan For Me)

PLENARY: Have a look at the exam type question (Last Screen) from the MyMaths Lesson

Weds June 22nd – More work on Exponential Function

LEARNING OBJECTIVE: To Consolidate work on Exponential functions and graphs of exponential functions

SUCCESS CRITERIA: You will be able to solve problems using exponential functions and sketch and interpret graphs of exponential functions

LESSON: A chance to go through any issues from Fridays lesson and Homework set so far.

Give students an opportunity to work on Ex 3B with support

REMINDER THAT EX 1D, 3a and 3B are to be completed by Friday of this week.

In Second Half of lesson look at this MyMthas lesson (screens 1,2 & 3 only), developing a method for determining whereabouts the roots of an equation are.

If time have a go at Ex 4A q1

PLENARY: Working on Questions from Screen and support around room checking answers.

Testing E-mail to Blog

This is a test message

Mr Speight

This message has been processed by MIMESweeper for Exchange.

 

Friday Jun 17th – The inverse of The exponential function

LESSON OBJECTVIE: To Develop the ideas of e^x having an inverse function

SUCCESS CRITERIA: You will be able to solve equations using the fact that ln x is the inverse of e^x and sketch and recognise transformations of f(x) = ln x

1. Review Remainder theorem when divisor is a quadratic – Use ex 1d – parts e, & f
   
2. Give them time to work through es 3A page 35/36
   
3. Revision of Rules of Logs using Mymaths Lesson Screens 5 & 6
   
4. Intro to Log_e as the inverse of e^{x –} Use geobra Webstart to plot functions on screen
   
5. Work through Mymaths Lesson really slowly to introduce Ln function
   
6. If time start working on Ex 3B
   

    
    

  

Friday Jun 17th – The inverse of The exponential function

LESSON OBJECTVIE: To Develop the ideas of e^x having an inverse function

SUCCESS CRITERIA: You will be able to solve equations using the fact that ln x is the inverse of e^x and sketch and recognise transformations of f(x) = ln x

1. Review Remainder theoreom when divisor is a quadratic – Use ex 1d – parts e, & f
   
2. Give them time to work through es 3A page 35/36
   
3. Revision of Rules of Logs using Mymaths Lesson Screens 5 & 6
   
4. Intro to Log_e as the inverse of e^{x –} Use geobra Webstart to plot functions on screen
   
5. Work thorugh Mymthas Lesson really slowly to
   

    

Functions

ooisrhllkdf

Weds 15th June – Introduction to exponential functions and “the exponential function”

LEARNING OBJECTIVE: TO understand what is meant by an exponential function and the exponential function

SUCCESS CRITERIA: You will be able to sketch simple transformations of the graph of y =e^x

LESSON: First go over division by a quadratic, cubic, quartic etc... and explain why the remainder could be a linear, quadratic cubic – to sort out the confusion from Fridays Lesson

Encourage a revisit to Ex 1D if not completed using the remainder theorem method.

Use this MyMthas Lesson on the Exponential function

Have a go at Ex 3A on page 35

Friday 10th June (Double Lesson) Adding / Subtracting Algebraic Fractions and turning Improper Algebraic Fractions into Mixed algebraic Fractions

LESSON OBJECTIVE: Discover methods to add & Subtract Algebraic Fractions and convert improper algebraic fractions into mixed algebraic fractions into

SUCCESS CRITERIA: You will be able to add/subtract algebraic fractions and use the factor theorem to convert improper algebraic fractions into mixed algebraic fractions

LESSON: Adding and Subtracting Algebraic Fractions lesson, using exercise screens to practise skills. Then have some time to start working thorugh Ex 1C on page 7

Numbers – Improper fractions to Mixed Numbers

Algebraic Fractions are improper when the numerator has a larger degree than the numerator (ie there is a bigger power on the top than the bottom)

Two Methods – Long Division and Use of the remainder theorem

The Remainder Theorem states that for any polynomial F(x) you can find Q(x) such that

F(x) = Q(x) x divisor + remainder

Example 1

Divide x³ + x² – 7 by x – 3 first by long division and then by Factor theorem

Example 2 Turn the following improper algebraic fraction into a mixed algebraic fraction again using both methods:

(X⁴ + x³ + x – 10) / (x² + 2x – 3)

Have a go at Ex 1D you must practice both methods

Weds June 8th – C3 Start – Algebraic Fractions

LEARNING OBJECTIVE: To develop skills in adding, subtracting, multiplying and dividing algebraic fractions

SUCCESS CRITERIA: You will be able to four all four operations with algebraic fractions

STARTER: Can you complete all of Ex 1A on Page 3 and All of Ex 1B on page5&6 in 15 mins

LESSON: Adding and Subtracting Algebraic Fractions lesson, Cancelling Fractions Lesson, Multiplying Algebraic Fractions Lesson

Ex 1c on page 7 (to be completed for Homework by Next week

PLENARY: Checking answers, feedback on confidence so far.

June 7th 2011 – Your Maths Lesson Blog

When you first view this lesson blog, save the URL in your favourites so that you can quickly return.

Mr Sp8