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Edexcel FP1 2010 - 2016

Vectors Consolidation

Lesson:

Continue working through Exercise 12F

Vectors - Intersection of Line and Plane

Lesson Objective:

To be able to find the intersection of a line and a plane.

Vectors

Lesson Objectives:

To be able to:

  • Convert between Cartesian and vector forms of line.
  • Solve line intersection problems.

Induction

Lesson Objectives:

To be able to prove by induction:

  • Summation results.
  • Divisibility results.
  • Matrices results.

Summation of Standard Series and Induction

Lesson Objectives for Week:

To be able to:

  • Sum standard series
  • Understand the basics of proof by induction.

Modulus - Argument Form

Lesson Objectives:

To be able to:

  • Convert complex numbers between x +yj and modulus-argument form
  • Draw the locus of a set of points defined by an argument relationship.

Complex Numbers - Sets of Points

Lesson Objective:

To be able to represent points of numbers on an Argand diagram when given inequalities such as (z - z1) <= 3

Exercise 2D

Complex Numbers

Lesson Objective:

To be able to:

  • Manipulate complex numbers
  • Solve equations by equating Re and Im parts

Exercise 2B

Introduction to Complex Numbers

Lesson Objectives:

To be able to:

  • Add, subtract, multiply and divide complex numbers.
  • Recognise z, z*, Re(z), Im(z)
  • Represent complex numbers on an Argand diagram.
  • Solve any quadratic equation with real coefficients.

Invariant Points

Lesson Objective:

To be able to find the equation of the line of invariant points for a given transformation matrix.

Inverse of 3 x 3 Matrix

Lesson Objective:

To be able to calculate the inverse of a 3 x 3  matrix both manually and on a Classwiz calculator.

Matrices - Inverses

Lesson Objectives:

To be able to:

  • Know when a matrix has an inverse.
  • Find the inverse of a 2x2 matrix.
  • Solve simultaneous linear equations by matrix methods.

Introduction to Matrices

Lesson Objectives:

To be able to:

  • Recognise when matrices can be added, subtracted and multiplied.
  • Identify transformation matrices for reflections and rotations.

Edexcel AS Further Mathematics Specification

AS Further Mathematics Specification

This document determines our work between Sep 17 - May 18.

L63FM HOMEWORK

Vectors

Please complete and hand in tomorrow the first two questions from:

http://mei.chosenhill.org/solutions/revision/C4RevisionVectorsQuestions.pdf

 

Induction

For Tuesday 10 October please complete:

  • Exercise 8b even numbers.
  • Exercise 8c  odd numbers.

Equations and Complex Numbers

For Monday please work through as much as possible of Exercise 2G

Modulus-Argument Form

Please complete Exercise 2E and Exercise 2F for Monday 2 October.

Complex Numbers - Sets of Points

Please finish Exercise 2D for tomorrow.

Complex Numbers

Please finish Exercise 2B for tomorrow Tue 26 September.

Matrices

Please complete and self mark Exercise 1G on pages 39 and 40.

Also complete the FM Baseline Test and hand in next Monday.

Matrices

For Friday please complete:

Question 1 of FP1 Jan 05 You will need to know that a transformation by matrix multiplies areas by det A

Question 1 of FP1 Jun 05

Question 1 of FP1 Jan 06

Question 1 of FP1 Jun 06

Question 3 of FP1 Jan 07