Basic Mathematics Study Notes Form 3 Mathematics – STATISTICS msomimaktaba, November 13, 2018August 17, 2024 STATISTICS Is the study or the methods of collecting, summarizing and presenting data and interpreting the information. MEASURES OF CENTRAL TENDENCY 1. Mean 2. Median 3. Mode MEAN “X” Is obtained by adding up all the data values then divide by the number of characters. I.e. i.e. =mean x1+x2+x3………. Sum… Continue Reading
Basic Mathematics Study Notes Form 3 Mathematics – FUNCTION msomimaktaba, November 13, 2018August 17, 2024 FUNCTION A function is a set of ordered pairs which relates two sets such that to each element of one set there is only one element of the second set Example Represent the following set of ordered pairs in a pictorial diagram. (1,4), (2,3), (-1,2), (-2,-3). Solution A function whose… Continue Reading
Basic Mathematics Study Notes Form 3 Mathematics – RELATIONS msomimaktaba, November 13, 2018August 17, 2024 RELATIONS A relation associates an element of one set with one or more elements of another set. If ”a” is an element from set A which associates another element ”b” from set B, then the elements can be written in an ordered pairs as (a,b) Thus we can define a… Continue Reading
Basic Mathematics Study Notes Form 2 Mathematics – STATISTICS msomimaktaba, November 13, 2018August 17, 2024 STATISTICS Definition -is a branch of mathematics dealing with the study of method of collecting,organizing, analyzing, presenting and interpreting numerical details to reach conclusions. Frequency distribution Is a number of times each data point Example 1 1. Make a frequency table from the following data from the followings data of… Continue Reading
Basic Mathematics Study Notes Form 2 Mathematics – SETS msomimaktaba, November 13, 2018August 17, 2024 SETS A set is a group/ collection of things such as a herd of cattle, a pile of books, a collection of trees, a shampoos bees and a fleck of sheep Description of sets -A set is described/denoted by Carl brackets { } and named by Capital letters Examples If… Continue Reading
Basic Mathematics Study Notes Form 2 Mathematics – TRIGONOMETRY msomimaktaba, November 13, 2018August 17, 2024 TRIGONOMETRY Trigonometric ratio Introduction: TRI – is the Greek word which means three. -Trigonometry is the branch of mathematics which deals with measurement. -A Trigonometric ratio consists of three parts that is – Hypotenuse, Adjacent and opposite. Consider the diagram below which is the right angled triangle For example… Continue Reading
Basic Mathematics Study Notes Form 2 Mathematics – PYTHAGORAS THEOREM msomimaktaba, November 13, 2018August 17, 2024 PYTHAGORAS THEOREM PYTHAGORAS THEOREM Pythagoras theorem is used to solve problems involving right angled triangles. Statement: In a right- angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. Shown below Required to prove: c2 = a2 + b2 Construction… Continue Reading
Basic Mathematics Study Notes Form 2 Mathematics – GEOMETRICAL TRANSFORMATIONS msomimaktaba, November 13, 2018August 17, 2024 GEOMETRICAL TRANSFORMATIONS -A transformation changes the position, size, direction or shape of objects. -Transformation in a plane is a mapping which moves an object from one position to another within the plane. The new position after a transformation is called an image Examples of transformations are Reflection Rotation Enlargement and… Continue Reading
Basic Mathematics Study Notes Form 2 Mathematics – SIMILARITY AND ENLARGEMENT msomimaktaba, November 13, 2018August 17, 2024 SIMILARITY AND ENLARGEMENT Similar figures: Two polygons are said to be similar if they have the same shape but not necessarily the same size. When two figures are similar to each other the corresponding angles are equal and the ratios of corresponding sides are equal. SIMILARTRIANGLE Triangle are similar when… Continue Reading
Basic Mathematics Study Notes Form 2 Mathematics – CONGRUENCE OF SIMPLE POLYGON msomimaktaba, November 13, 2018August 17, 2024 CONGRUENCE OF SIMPLE POLYGON The triangles above are drawn such that CB= ZY AC=XZ B=YX Corresponding sides in the triangles are those sides which are opposite to the equal angles i.e. If the corresponding sides are equal i.e. In general, polygons are congruent if corresponding sides and corresponding… Continue Reading
Basic Mathematics Study Notes Form 2 Mathematics – LOGARITHMS msomimaktaba, November 13, 2018August 17, 2024 LOGARITHMS STANDARD NOTATIONS Standard notation form is written in form of A x 10n whereby 1≤ A< 10 and n is any integers Example Write the following in standard form (i) 2380 Solution: 2380 = 2.38 x 103 (ii) 97 Solution: 97 = 9.7 x 101 (iii) 100000 Solution: 100000… Continue Reading
Basic Mathematics Study Notes Form 2 Mathematics – QUADRATIC EQUATION msomimaktaba, November 13, 2018August 17, 2024 QUADRATIC EQUATION QUADRATIC EQUATION Is any equation which can be written in the form of ax2 + bx + c=0 where a ≠ 0 and a, b and c are real numbers. SOLVING QUADRATIC EQUATION i) BY FACTORIZATION Example 1 solve x2 + 3x – 10 = 0 Solution: x2… Continue Reading
Basic Mathematics Study Notes Form 2 Mathematics – EXPONENT AND RADICALS msomimaktaba, November 13, 2018August 17, 2024 EXPONENT AND RADICALS EXPONENTS: – Is the repeated product of real number by itself e.g. i) 2 x 2 x 2 x 2 = 24 ii) 6 x 6 x 6 x 6 x 6 = 65 iii) a x a x a x a x a = a5… Continue Reading
English Language Study Notes Form 4 English – READING LITERARY WORKS msomimaktaba, November 13, 2018February 13, 2019 INTRODUCTION TO LITERATURE Literature – is the artistic expression of people‘s ideas which reflect social realities done through the use of language either in written or spoken. OR Is a product of human imagination employing language creativity to reflect human realities. The key terms in defining literature includes; ….Pages: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Continue Reading
English Language Study Notes Form 3 English – WRITING FORMAL LETTERS msomimaktaba, November 13, 2018August 8, 2019 WRITING FORMAL LETTERS Major Parts of Formal/Official letters Sender’s address and date Addressee’s address below the reference number U.F.S, if it has to be signed by a certain officer/Person, for forwarding. Formal salutation i.e. Sir/Madam The introductory sentence e.g a reference to a former announcement, letter, or newspaper. Curriculum Vitae… Continue Reading
English Study Notes LITERATURE FORM 1 – LISTENING SKILLS AND NOTE TAKING msomimaktaba, November 11, 2018February 13, 2019 TAKING NOTES Hearing is the natural ability of receiving sound waves/message This is normally involuntary e.g. Noise Sometimes we hear even if we don’t want to since we care not deaf Listening is conscious or international attempt to hoar to receive the message deliberately listening involves some skills which… Continue Reading