‘O’ LEVEL MATHEMATICS (G10,11,12 & GCE)

About Course

This course is not writt byen for Grade 10 only but also for those that want to test their knowledge of the topics in the curriculum based at grade 10 level. General certificate (GCE) students are also advised to revise this course as this course is a prequiisite of the Next course (Grade 11) .

Examples and Quizz questions are based on the previous Examination question papers from the examining body ECZ (Examination Council of Zambia)

key competencies at Grade 10.

Assimilate necessary mathematical concepts for use in everyday life such as
environment and other related disciplines.
Think mathematically and accurately in problem-solving skills and apply these skills
to formulate and solve mathematical and other related problems.
Develop necessary skills needed to apply mathematical concepts and skills in other disciplines.
Produce imaginative and creative work from mathematical concepts and ideas.
Develop abilities and ideas drawn from mathematics to reason logically,
communicate mathematically, and learn independently without too much supervision(self-discipline).
Develop positive attitudes towards mathematics and use it in other subjects such as science and technology.
Apply mathematical tools such as information and communication technology in the learning of other subjects.
Use mathematics for enjoyment and pleasure.
Develop an understanding of algebra, geometry, measurements, and shapes.

Provide clear mathematical thinking and expression in the
learner.
Develop the learners’ mathematical knowledge and skills.
Enrich the learners’ understanding of mathematical concepts in order to facilitate further study of the discipline
Build up an appreciation of mathematical concepts so that the learner can apply these for problem solving in everyday life.
Enable the learner to represent, interpret and use data in a
variety of forms.
Inculcate a desire to develop different career path in the learner.

Course Content

SETS
A set is the mathematical model of a collection of things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.

SET REVIEW

12:38
INTRODUCTION TO SETS
SET OPERATIONS

16:43
SHADING SETS

35:04
HOME WORK
COMBINE SET OPERATIONS

29:29

ALGEBRAIC EXPRESSION
Over human history, all peoples and cultures have contributed to the field of Mathematics. Topics like algebra may seem obvious now, but for many centuries mathematicians had to make do without it. Over the next three grades, you will explore more advanced and abstract mathematics. It may not be obvious how this applies to everyday life, but the truth is, mathematics is required for nearly everything you will do one day. Enjoy your mathematical journey. Remember, there is no such thing as a “maths person” or “not a maths person”. We can all do mathematics, it just takes practice.

INDEX NOTATION
Index notation is a method of representing numbers and letters that have been multiplied by themself multiple times.

MATRICES
In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object. For example, is a matrix with two rows and three columns.

Transpose of a Matrix

08:24
Muiltiplication of Matrices

06:44
Inverse of a Matrix

09:53
Lesson 4

08:27
Lesson 5

08:12
Lesson 6

05:25
Lesson 7

07:13
Lesson 8

04:48
Lesson 9

04:06
Lesson 10

05:26
Lesson 11

09:59
Lesson 12

05:43

SIMILARITY AND CONGRUENCY
In this topic you'll learn the difference between Ratio and Proportions, find the areas and volumes of proportional objects.

TRAVEL GRAPHS

SOCIAL AND COMMERCIAL ARITHMETIC’S

BEARING AND SCALE DRAWING

SYMMETRY

COMPUTER AND CALCULATOR

APPROXIMATION AND ESTIMATION

SEQUENCE AND SERIES

COORDINATE GEOMETRY

Distance of two Points

15:39
Midpoint

12:48
Gradient

10:21
Equation of a Straight line

17:34
Equation of Parallel and Perpendicular lines

09:17
Lesson 6

00:00
Lesson 7

00:00
Lesson 8

00:00
Lesson 9

00:00
Lesson 10

00:00

RELATIONS AND FUNCTIONS

QUADRATIC FUNCTIONS

VARIATION

CIRCLE THEOREM

CONSTRUCTION AND LOCI

TRIGONOMETRY

MENSURATION

PROBABILITY

STATISTICS

GRAPHS OF FUNCTIONS

LINEAR PROGRAMMING

TRAVEL GRAPH

VECTORS IN TWO DIMENSIONS

GEOMETRICAL TRANSFORMATION

EARTH GEOMETRY

INTRODUCTION TO CALCULUS

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INSTRUCTIONS
-Understand rather than memorizing the concepts.
-Mathematics is not a spectator sport, so students should be active when learning this course.
-Practice each concept individually.
-Work on additional exercises/quizzes, etc.
- Buddy Up! Some people like to work alone. But when it comes to solving problems, it often helps to work with friends.
-Seek help when it's appropriate instead of getting stuck and frustrated on a challenge problem or concept.
Requirements
scientific calculator
Graph paper
plain papers
pencil for drawing

‘O’ LEVEL MATHEMATICS (G10,11,12 & GCE)

About Course

What Will You Learn?

Course Content

SETS A set is the mathematical model of a collection of things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.

SET REVIEW

INTRODUCTION TO SETS

SET OPERATIONS

SHADING SETS

HOME WORK

COMBINE SET OPERATIONS

THE REAL NUMBER SYSTEM

EXPAND AND SIMPLIFY

FACTORISATION – USING COMMON FACTORS

FACTORISATION – BY GROUPING TERMS

FACTORISATION – QUADRATIC EXPRESSIONS

FACTORISATION – DIFFERENCE OF TWO SQUARES

ALGEBRAIC FRACTIONS – ADDITION AND SUBTRACTION

ALGEBRAIC FRACTIONS – MUILTIPLICATION AND DIVISION

INDEX NOTATION Index notation is a method of representing numbers and letters that have been multiplied by themself multiple times.

laws of indices

Simplify indices

Fractional Indices

Equations involving indices

MATRICES In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object. For example, is a matrix with two rows and three columns.

Transpose of a Matrix

Muiltiplication of Matrices

Inverse of a Matrix

Lesson 4

Lesson 5

Lesson 6

Lesson 7

Lesson 8

Lesson 9

Lesson 10

Lesson 11

Lesson 12

SIMILARITY AND CONGRUENCY In this topic you'll learn the difference between Ratio and Proportions, find the areas and volumes of proportional objects.

Ratio and Proportion

Area of similar figures

VOLUME OF SIMILAR FIGURES

Lesson 4

lesson 5

Lesson 6

Lesson 7

TRAVEL GRAPHS

lesson 1

Lesson 2

Lesson 3

Lesson 4

Lesson 5

SOCIAL AND COMMERCIAL ARITHMETIC’S

Lesson 1

Lesson 2

Lesson 3

Lesson 4

Lesson 5

BEARING AND SCALE DRAWING

MEASURING ANGLES

BEARINGS

SCALE DRAWING

Lesson 4

Lesson 5

SYMMETRY

ROTATION

SYMMETRY OF SOLID

PLANE SYMMETRY

COMPUTER AND CALCULATOR

FUNCTION OF A CALCULATOR

BASIC COMPONENT OF A COMPUTER

ALGORITHM

FLOW CHARTS

Lesson 5

Lesson 6

Lesson 7

APPROXIMATION AND ESTIMATION

Relative and absolute error

Absolute, Relative Percentage error

SEQUENCE AND SERIES

Arithmetic Progression

SETS
A set is the mathematical model of a collection of things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.

INDEX NOTATION
Index notation is a method of representing numbers and letters that have been multiplied by themself multiple times.

MATRICES
In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object. For example, is a matrix with two rows and three columns.

SIMILARITY AND CONGRUENCY
In this topic you'll learn the difference between Ratio and Proportions, find the areas and volumes of proportional objects.