Excelling In Grade 12 Maths Exam (Ieb & Nsc South Africa)

Grade 12 Mathematics Paper I (IEB and NSC)

What you'll learn

Grade 12: Learn how to solve algebraic equations. How to sketch graphs. How to find the equations of the graphs. How to find the co-ordiantes of the graph.

Grade 12: Learn how to solve inequalities. How to simplify exponential equations. How to solve for exponential equations.

Grade 12: Learn how to find general formulas for arithmetic sequences and series

Grade 12: Learn how to find general formulas for geometric sequences and series

Grade 12: How to solve for x by completing a square

Requirements

Grade 11 Pure Mathematics skills

Grade 11 Balancing the equations skills

Grade 11 Quadratic functions

Grade 9 Linear functions

Description

This course is intended for purchases by adults who are parents or guardians of their children. Parents are encouraged to monitor the learning progress of their children.Suitable for Grade 12s who will be sitting in for IEB and NSC examinations or class and cycle tests in South AfricaGeometric sequences and series: How to find the value of a, how to find the ratio, how to calculate sigma, how to find the general solution.Arithmetic sequences and series:How to find the value of a, how to find the ratio, how to calculate sigma, how to find the general solution.Number patterns and quadratic formulas: How to determine the nth term of a pattern, how to find a linear pattern, how to find a quadratric pattern.Solve for x by completing the square: How to solve for x when you are not allowed to use the quadratic formula and when the trinomial cannot factorise! Follow the instructions and complete the square when asked to do soSolve algebraic equations and inequalitiesSimplify algebraic expressions: How to factorize and simplify algebraic expressionsSolve exponential equations: How to find composite of primes and use the exponential laws to solve for x and y in exponential equations.Simplify exponential expressions: How to find composite of primes and factorise exponents. How to apply the laws of exponents to help you factorize. Algebraic functions (Hyperbola, Exponential, Linear and Quadratic functions). How to sketch the graphs. How to find the equations of the graph.

Overview

Section 1: Geometric Sequences and Series.

Lecture 1 Determining the next sequence, which is expressed as a variable.

Lecture 2 Explaining (mathematically!) why the series is convergent

Lecture 3 Determine the series to infinty

Lecture 4 Determine the sigma summation of Geometric series

Lecture 5 Determine the first term

Lecture 6 Geometric sequence & series mixed questions

Lecture 7 Geometric sequence & series mixed questions. Continued

Lecture 8 Geometric sequence & series mixed questions. Continued

Lecture 9 Geometric sequence & series mixed questions. Continued

Section 2: Arithmetic sequences and series

Lecture 10 Find the the general formula of the arithmetic sequence.

Lecture 11 Find the general formula of the arithmetic sequence. Continued

Lecture 12 Calculate the value of the 11th term

Lecture 13 Determine the value of n

Lecture 14 Find the the general formula of the arithmetic sequence.

Lecture 15 Calculate the sum of the first 20 terms

Lecture 16 Calculate the constant difference

Lecture 17 Arithmetic sequence Mixed questions

Lecture 18 Arithmetic sequence. Sigma notation

Lecture 19 Arithmetic sequence. Sigma notation continued.

Lecture 20 Arithmetic sequence

Section 3: Mastering Number patterns

Lecture 21 Number Patterns, Quadratic formula

Lecture 22 Number Patterns

Lecture 23 Number Patterns

Lecture 24 Number Patterns

Section 4: How to master algebraic equations

Lecture 25 Lecture 3: Solving algebraic equations including inequalities

Lecture 26 Algebraic Equations, Algebraic Fractions, Logarithmic Equations

Lecture 27 Solve for x by using Quadratic Formula. Exponential Equations

Lecture 28 Algebraic inequalities

Lecture 29 Algebraic Equations

Lecture 30 Algebraic Equations

Lecture 31 Solve for x by completing the square

Lecture 32 Solve for x by completing the square. Continued

Lecture 33 Solve for x by completing the square. Continued

Lecture 34 Solve for x by completing the square. Continued

Section 5: How to master exponential equations and exponential expressions

Lecture 35 Exponents

Lecture 36 How to simplify exponential expressions and How to solve exponential equations

Lecture 37 Exponents

Lecture 38 Exponents

Lecture 39 Exponents: Q1-5

Lecture 40 Exponents: Q6

Lecture 41 Exponents

Lecture 42 Exponents

Lecture 43 Exponents

Section 6: Algebraic Functions (Straight line, Hyperbola, Exponential and parabola)

Lecture 44 Algebraic Functions : Exponential Graphs

Lecture 45 Sketching inverse function

Lecture 46 Algebraic Functions : Stating the range of an inverse function

Lecture 47 Algebraic Functions: Hyperbola. Finding the equations of the asymptote

Lecture 48 Algebraic Functions: Logarithmic Graph

Lecture 49 Hyperbola & a straight line. Finding the co-ordinates of point of intersection

Lecture 50 Hyperbola & Parabola. Determine the equation of a parabola in a different form

Lecture 51 Hyperbola & Parabola. Continuation

Lecture 52 Quadratic function and Exponential Functions. Explaining the nature of roots

Lecture 53 Logarithmic graph, Quadratic function and Inverse function

Lecture 54 Logarithmic graph, Quadratic function and Inverse function. Continuation

Lecture 55 Parabola & a Straight line. Determine the co-ordinates, equation, interpretation

Lecture 56 Parabola & a Straight line. Continuation

Lecture 57 Hyperbola: Sketch, determine the range, equation of axis of symmetry

Lecture 58 Exponential Graph: Determine the co-ordinates, inverse function, restrictions

Lecture 59 Inverse function of the parabola with a restricted domain

Lecture 60 Logarithmic Graph: Determining the domain, the inverse function, sketching

Lecture 61 Logarithmic Graph: Transformation

This course is intended for purchases by adults who are parents or guardians of their children. Parents are encouraged to monitor the learning progress of their children.,Grade 12 learners from South Africa who will be sitting in for an IEB or NSC Examination,Grade 12 learners from South Africa who wish to pursue Science related programs at Universities