Middle (Junior High) School Math Made Simple – Vectors

This class is taught in English.

This session will take nine (9) classes to complete. It will deal with the following:-

1.	Class 1 – Transformation Geometry
2.	Class 2 – Matrices & Matrix Transformation
3.	Class 3 – Vectors
4.	Class 4 – Investigation

1.	Transformation Geometry

a.	Transformations
b.	Translation
c.	Translation on the Cartesian plane
d.	properties of translations
e.	Reflection
f.	Reflection on the Cartesian plane
g.	properties of reflection
h.	Rotation
i.	Rotation on the Cartesian plane
j.	rotational symmetry
k.	properties of rotation
l.	Dilation or enlargement
m.	Enlargement and reduction
n.	enlargement on the Cartesian plane
o.	properties of enlargement


2.	Matrices and Matrix Transformation

a.	Matrices
b.	Rows and columns
c.	order of a matrix
d.	row matrices
e.	column matrices
f.	square matrices
g.	the position of elements in a matrix
h.	diagonal elements
i.	diagonal matrices
j.	zero matrix
k.	operations on matrices
l.	scalar
m.	multiplication
n.	equal matrices
o.	the identity or unit matrix
p.	matrix multiplication
q.	commutative property,
r.	identity elements and inverses – matrices
s.	inverse of a matrix
t.	property of the inverse
u.	using matrices to solve a pair of simultaneous equations, using matrices to solve word problems
v.	Matrix transformations
w.	Matrices for translation
x.	deriving matrices for transformations
y.	matrices for reflection
z.	matrices for rotation
aa.	matrix for dilation (enlargement)
bb.	matrices for combined transformations

3.	Vectors

a.	Vector and scalar quantities
b.	Vector notation
c.	parallel and equal vectors
d.	adding parallel vectors
e.	adding non-parallel vectors
f.	vectors
g.	on the Cartesian plane
h.	position vectors
i.	unit vectors
j.	the modulus of a vector
k.	the direction of a vector,
l.	adding of vectors – unit vector notation
m.	unit vectors that are not parallel to the x and y axes
n.	proofs in vectors

4.	Investigations

a.	Patterns in Mathematics
b.	Continuing a pattern

None

In order for each student to determine their own level of understanding of the Middle (Junior High) School Math course I will provide free of charge and outside of the sixty (60) minutes class questions to be answered. This of course is optional and solely based on the individual student. I would urge ALL students to answer as many questions as possible so that they would know where they need to improve, but it is optional.

Every class will have questions to be answered and graded outside of the sixty (60) minutes class. This  questions and answers will be done free of charge, as it will not be part of the sixty (60) minutes class.

1 hour per week in class, and an estimated 2 - 4 hours per week outside of class.

During the course of seventeen (17) years I have compiled a complete Middle (Junior High) School Math tutorial that I have assembled from various text books to keep up with the changing syllabus, as well as to cater for the various learning levels of every student that I have taught. I have tutored to students that were getting Fs and Ds elevated them to Bs and As.