L63FM Lessons & Blog
Topic Tests
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 A multiplies areas by det A