# Matric Upgrade

#### Maths & Science Classes

Upgrading or rewriting your matric? We provide comprehensive matric upgrade preparation classes to help you improve your marks and excel in your exams.

#### Level: Grade 12

#### Monday - Thursday

## Matric Upgrade Class Offerings

### Mon & Wed @ 09:00 – 10:30

#### Mathematics

90-minute mathematics matric upgrade group class during the week.

from R1250 p/m

### Tues & Thurs @ 09:00 – 10:30

#### Physical Science

90-minute physical science matric upgrade group class during the week.

from R1250 p/m

## Upgrade Mathematics Lesson Plan

### Commencing The Week of 03 June 2024

#### Week 1

Basic Algebra

Solving Quadratic Equations:

– Factorisation

– Quadratic formulae

– Squaring both sides

#### Week 2

Completing the square

K-method substitution

#### Week 3

Exponents

Logarithm

Fractions

#### Week 4

Patterns, Sequences and Series:

– Arithmetic (Linear Pattern)

– Geometric Sequence

#### Week 5

Quadratic sequence

Sigma notation

#### Week 6

Functions:

– Linear and quadratic

– Hyperbola and Exponential

#### Week 7

Logarithmic function

Inverse functions

#### Week 8

Trigonometry:

– Reduction formulae

– Simplifying trig expressions (Using C.A.S.T diagram)

– Proving trig identities (Compound formulae)

#### Week 9

Solving trig equations (Determining the general solution)

2D & 3D Trigonometry

#### Week 10

Euclidean Geometry:

– Circle Geometry

– Centre, Cyclic quads & Tangents

#### Week 11

Proportionality Theorems

#### Week 12

Analytical Geometry:

– The equation of lines through two points

– Parallel lines and perpendicular

#### Week 13

Analytical Geometry:

– Analytical geometry of circles

– Equation of a tangent to a circle

#### Week 14

Differential Calculus:

– Factorise 3rd degree polynomials

– Use limits to find the derivative

– Finding derivatives

#### Week 15

Calculus:

– Sketching cubic polynomials

– Optimisation

#### Week 16

Financial Maths:

– Solving Problems involving present value and Future value annuities

– Make use of algorithms to calculate the value of n, the time period

– Critically analyse investment and loan options and make informed decisions

#### Week 17

Statistics:

– Histograms

– Frequency Polygons

– Ogives

– Variance and standard deviation of ungrouped data

– Use statistical summaries – scatterplots, regression and correlation

#### Week 18

Probability:

– Tree diagrams

– Venn Diagrams

– Contingency table

#### Week 19

Fundamental Counting Principles:

– Application of fundamental counting principles to solve probability problems

#### Week 20

Revision

## Upgrade Physical Science Lesson Plan

### Commencing The Week of 03 June 2024

#### Week 1

Session 1: Organic Chemistry – IUPAC Nomenclature

Session 2: Organic Chemistry – IUPAC Nomenclature (cont..)

#### Week 2

Session 1: Organic Chem reactions

Session 2: Organic Chem reactions (Cont..)

#### Week 3

Session 1: Organic Chemistry (Physical and Chemical Properties)

Session 2: Consolidation and Conclusion

#### Week 4

Session 1: Newton’s Laws of Motion Introduction

Session 2: Newton’s Laws Application

#### Week 5

Session 1: Newton’s laws on Universal of Attraction

Session 2: Momentum and Impulse

#### Week 6

Session 1: Vertical Projectile Motion

Session 2: VPM (cont…)

#### Week 7

Session 1: Work Energy Power

Session 2: WEP (cont…)

#### Week 8

Session 1: Rates of Chemical Reactions

Session 1: Rates of Reaction (cont…)

#### Week 9

Session 1: Chemical Equilibrium

Session 2: Chemical Equilibrium Applications

#### Week 10

Session 1: Chemical Equilibrium (cont…)

Session 2: Doppler Effect

#### Week 11

Session 1: Electrostatics

Session 2: Electrostatics (cont… )

#### Week 12

Session 1: Electrochemistry (Galvanic Cells)

Session 2: Electrochemistry (cont…)

#### Week 13

Session 1: Electric Circuits

Session 2: Electric circuits (cont…)

#### Week 14

Session 1: Electric Circuits

Session 2: Electrodynamics

#### Week 15

Session 1: Acids and Bases

Session 2: Acids and Bases

#### Week 16

Session 1: Electrochemistry (Electrolysis)

Session 2: Elctrolysis

#### Week 17

Session 1: PhotoElectric Effect

Session 2: The Photoelectriceffect

#### Week 18

Session 1: Graphs and Interpretation

Session 2: Sketch graphs

#### Week 19

Session 1: Recap Chemistry

Session 2: Recap Chemistry

#### Week 20

Session 1: Recap Physics

Session 2: Recap Physics

## What Our Students Say

I wanna take this opportunity and thank you for being there for me. I know you don’t even know me but you helped me a lot with Physical Sciences. I used to watch a lot of your videos. I did like and subscribe to you on YouTube and eventually, I have a distinction in Physical Sciences because of your contribution. God bless you, Mr. Nkosi

#### Zakhele M.

Good day, sir, I am Rifuwo. I was in Matric last year. I got a distinction for both maths and physics and it's all thanks to you, I wouldn't have done it without you.