Basic Mathematics Study Notes Form 4 Mathematics – VECTORS msomimaktaba, November 13, 2018August 17, 2024 VECTORS Displacement and Position Vectors. Displacement Examples of vector quantities are displacement, Velocity, acceleration, force, momentum, electric field and magnetic field. Quantities which have magnitude only scalars, for example distance, speed, Pleasure, time and temperature. Sometimes a single. Small letter with a bar below like a or a like a… Continue Reading
Basic Mathematics Study Notes Form 4 Mathematics – TRIGONOMETRY msomimaktaba, November 13, 2018August 17, 2024 TRIGONOMETRY Trigonometrical ratios in a unit circle The three trigonometrical ratios of sine, cosine and tangent have been defined earlier, using the sides of a right-angled triangle as follows If A is an angle as shown Consider a circle of units subdivided into four congruent sectors of the coordinate axes… Continue Reading
Basic Mathematics Study Notes Form 4 Mathematics – PROBABILITY msomimaktaba, November 13, 2018August 17, 2024 PROBABILITY Defn: Probability is a branch of mathematics which deals with and shows how to measure these uncertainties of events in every day life. It provides a quantitative occurrences and situations. In other words. It is a measure of chances. Probability set and Event Suppose that an experiment of tossing… Continue Reading
Basic Mathematics Study Notes Form 4 Mathematics – THREE-DIMENSIONAL FIGURES msomimaktaba, November 13, 2018August 17, 2024 THREE-DEMENSIONAL FIGURES INTRODUCTION A three dimensional figure is a solid figure having three measures. Some examples are pyramids, cylinders, prisms, cubes and cuboids. – Apart from three dimensional figures, there are also one and two dimensional figures. Examples A line is one – dimensional. There is one direction to move… Continue Reading
Basic Mathematics Study Notes Form 4 Mathematics – AREAS AND VOLUMES msomimaktaba, November 13, 2018August 17, 2024 AREAS AND VOLUMES AREAS CASE 1.Right angled triangle Area = ½ b x h 2. Triangle with altitude that lies within the triangle Area 0f Δ ABC = ½ bh + ½ d h = ½ h(b + d) = ½ hL 3. A triangle where the altitude… Continue Reading
Basic Mathematics Study Notes Form 4 Mathematics – COORDINATE GEOMETRY msomimaktaba, November 13, 2018August 17, 2024 COORDINATE GEOMETRY Exercise 1. Plot the following point. P (2,2), T (-1, -2), L (2, -1) 2. In which quadrants is the? a. Abscissa positive? I b. Ordinate negative III c. Abscissa negative II d. Ordinate positive I e. Abscissa negative and ordinate negative? III EQUATIONS IN A STRAIGHT LINE… Continue Reading
Basic Mathematics Study Notes Form 3 Mathematics – ACCOUNTS msomimaktaba, November 13, 2018August 17, 2024 ACCOUNTS Accountsis a place in a ledger where all the transactions are relating to a particular asset, liabilities and capital, expenses,or revenue items were recorded. Accounts is a wider concept with identifying measuring and communicating economic information to permit informed judgments and decisions by users of the information. The part… Continue Reading
Basic Mathematics Study Notes Form 3 Mathematics – THE EARTH AS A SPHERE msomimaktaba, November 13, 2018August 17, 2024 THE EARTH AS A SPHERE The earth surface is very close to being a sphere. Consider a sphere representing the shape of the earth as below. NS is the Axis of the earth in which the earth rotates once a day. O is the center of the earth. The… Continue Reading
Basic Mathematics Study Notes Form 3 Mathematics – CIRCLE msomimaktaba, November 13, 2018August 17, 2024 CIRCLE DEFINITION AND PROPERTIES OF A CIRCLE A circle can be defined in two ways. A circle: Is a closed path curve all points of which are equal-distance from a fixed point called centre OR – Is a locus at a point which moves in a plane so that… Continue Reading
Basic Mathematics Study Notes Form 3 Mathematics – SEQUENCE AND SERIES msomimaktaba, November 13, 2018August 17, 2024 SEQUENCE AND SERIES SEQUENCE Is a set of numbers written in a definite order such that there is a rule by which the terms are obtained. Or Is a set of number with a simple pattern. Example 1. A set of even numbers • 2, 4, 6, 8, 10 ……… Continue Reading
Basic Mathematics Study Notes Form 3 Mathematics – RATES AND VARIATIONS msomimaktaba, November 13, 2018August 17, 2024 RATES AND VARIATIONS RATES:- When sets or quantities of different kinds are related, we use the word rate. i.e 1. A rate of pay of 10,000/= Tsh per hour (money- time) 2. The price of juice is 700/= Tsh per litre (money -weight of juice) 3. The average speed… Continue Reading
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