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Middle (Junior High) School Math Made Simple – Vectors

In this eleven (11) days course for Middle (Junior High) School Math I will be explaining in detail 1. Transformation Geometry; 2. Matrices and Matrix Transformation; 3. Vectors; 4. Investigation.

Brian Birbal

Average rating:

4.6

Number of reviews:

(24)

What's included

11 live meetings

11 in-class hours

Homework

2-4 hours per week. 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.

Assessment

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.

Grading

included

Class Experience

US Grade 7 - 9

The specific features provided by the documents used in my presentation are as follows:-

1.	It acts as a companion to the student who needs to be familiar with the content of each topic and with the skills required to master the content.
2.	It presents the material in a well-sequenced and coherent form, so that critical understandings are addressed, while developing a sound foundation.
3.	The material has aesthetic appeal through the use of colour, diagrams and graphic displays. This will facilitate all learning styles, especially the visual and multi-sensory learner.
4.	There is a wide range of worked examples to guide the students on how a topic is tested at the examination level. These examples vary in terms of content and difficulty level.
5.	The examples also provide model solutions, so that students are guided in how to construct proper responses questions.

This session will take eleven (11) classes to complete. It will deal with the following:-

1.	Class 1, 2 & 3 – Transformation Geometry
2.	Class 4, 5 & 6 – Matrices & Matrix Transformation
3.	Class 7, 8 & 9 – Vectors
4.	Class 10 & 11 – Investigation


I will teach each of the eleven (11) classes for forty (40) minutes each and then I will open the class for any questions to be asked. If there are no questions I will continue teaching the class.

This class will be presented using a PDF document that I will share via ZOOM (Outschool). I will share the pdf document at the end of the class via Outschool 

Students should have a basic understanding of Math, but it is not necessary. As an Engineer I will explain Math in a VERY SIMPLE manner that each student will be able to learn Math from 0% to 100%.

Learning Goals

This session will take eleven (11) classes to complete. It will deal with the following:-

1.	Class 1, 2 & 3 – Transformation Geometry
2.	Class 4, 5 & 6 – Matrices & Matrix Transformation
3.	Class 7, 8 & 9 – Vectors
4.	Class 10 & 11 – 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