TOPIC 1: RELATIONS Normally relation deals with matching of elements from the first set called DOMAIN with the element of the second set called RANGE. Relations A relation “R” is the rule that connects or links the elements of one set with the elements of the other set. Some examples of relations are listed below. “Is a brother of ” “Is a sister of ” “Is a husband of ” “Is equal to ” “Is greater than ” “Is less than ” Normally relations between two sets are indicated by an arrow coming from one element of the first set…
Author: Msomi Bora
MATHEMATICS NOTES FOR FORM TWO We have: Notes 1 and Notes 2 Notes 1 To view the Notes, click the following links below: TOPIC 1 – EXPONENTS AND RADICALS TOPIC 2 – ALGEBRA TOPIC 3 – QUADRATIC EQUATIONS TOPIC 4 – LOGARITHMS TOPIC 5 – CONGRUENCE TOPIC 6 – SIMILARITY TOPIC 7 – GEOMETRIC AND TRANSFORMATIONS TOPIC 8 – PYTHAGORAS THEOREM TOPIC 9 – TRIGONOMETRY TOPIC 10 – SETS TOPIC 11 – STATISTICS Notes 2 To view the Notes, click the following links below: 1. EXPONENTS AND RADICALS 2. ALGEBRA 3. QUADRATIC EQUATIONS…
TOPIC 11: STATISTICS Statistics is the study of the collection, analysis, interpretation, presentation and organization of data. Statistics helps to present information using picture or illustration. Illustration may be in the form of tables, diagrams, charts or graphs. Statistics helps to present information using picture or illustration. Illustration may be in the form of tables, diagrams, charts or graphs. Pictograms Information by Pictograms Display Information by pictograms This is a way of showing information using images. Each image stands for a certain number of things. Interpretation of Pictograms Interpret pictograms For example here is a pictograph showing how many apples…
TOPIC 10: SETS Forget everything you know about number and forget that you even know what a number is. This is where mathematics starts. Instead of mathematics with numbers we will think about mathematics with things. The word set means collection of related things or objects. Or, things grouped together with a certain property in common. For example, the items you wear: shoes, socks, hat, shirt, pants and so on. This is called a set. A set notation is simple, we just list each element or member (element and member are the same thing), separated by comma, and then put…
TOPIC 9: TRIGONOMETRY Do you want to learn the relationships involving lengths and Angles of right-angled triangle? Here, is where you can learn. Trigonometric Rations Trigonometry is all about Triangles. In this chapter we are going to deal with Right Angled Triangle. Consider the Right Angled triangle below: The sides are given names according to their properties relating to the Angle . Adjacent side is adjacent (next to) to the Angle Opposite side is opposite the Angle Hypotenuse side is the longest side Sine, Cosine and Tangent of an Angle using a Right Angled Triangle Define sine, cosine and tangent of an angle using…
TOPIC 8: PYTHAGORAS THEOREM Triangle with a Right angle i.e. 90° has an amazing property. Do you want to know what property is that? Go on, read our notes to see the amazing property of a right angled triangle. Pythagoras Theorem deals only with problems involving any Triangle having one of its Angles with 900. This kind of a Triangle is called Right angled triangle. When triangle is a right angled triangle, squares can be made on each of the three sides. See illustration below: The Area of the biggest square is exact the same as the sum of the…
TOPIC 7: GEOMETRIC AND TRANSFORMATIONS Reflection The Characteristics of Reflection in a Plane Describe the characteristics of reflection in a plane A transformation in a plane is a mapping which moves an object from one position to another within the plane. Think of a book being taken from one comer of a table to another comer. Figures on a plane of paper can also be shifted to a new position by a transformation. The new position after a transformation is called the image. Examples of transformations are reflection, rotation, enlargement and translation. Different Reflections by Drawings Represent different reflections by…
TOPIC 6: SIMILARITY Some Figures tend to have different size but exactly equal angles and their corresponding sides always proportional. This kind of figures are said to be similar. Read the notes below to see which shapes are said to be similar. Here is a well prepared tutorial on Similarity Tutorial Created by Willbald Mvungi-Ilboru Secondary Similar Figures Two geometrical figures are called similar if they both have the same shape. More precisely one can be obtained from the other by uniformly scaling (enlarging or shrinking). Possibly with additional translation, rotation and reflection. Below are similar figures, the figures have…
TOPIC 5: CONGRUENCE I’m sure you have seen some of the figure which in one way or another one of the shape can become another using turns, flip or slide. These shapes are said to be Congruent. Study this notes carefully to know different ways that can help you to recognize congruent figures. In geometry two figures or objects are congruent if they have the same shape and size, or if one has the shape and size as the mirror image of the other. If one shape can become another using turns (rotation), flip (reflection), and/ or slide (translation), then…
TOPIC 4: LOGARITHMS We always ask ourselves, how many of one number do we multiply to get another number? For example; how many 3s do we multiply to get 81? All these kind of questions will be answered in this unit. Make sure you understand. Start reading now……! Standard Form Tutorial on Standard Form Tutorial Created by Willbald Mvungi-Ilboru Secondary Standard Form is also called Scientific Notation. It is a way of writing a number into two parts. For example Thedigits(with the decimal point placed after the first digit) followed by X 10 to a powerthat puts a decimal point…
