POPULATION AND DEVELOPMENT Definitions of Population – Population is total number of living things of a particular type or group who live in a particular area or environment. – Population is the number of organisms of the same group or species, which live in a particular geographical area. – Population refers to all the people or animals of a particular type or group that live in one country, area, or town. Definitions of Human Population – Human population is the number of people living in a particular area, from a village to the world as a whole. – Human…
Author: Msomi Bora
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STATISTICS Definitions of Statistics – Statistics is the practice or science of collecting and analyzing numerical data in large quantities, especially for the purpose of inferring proportions in a whole from those in a representative sample. – Statistics is the discipline that concerns the collection, organization, analysis, interpretation and presentation of data. – Statistics is a branch of mathematics dealing with the collection, analysis, interpretation, and presentation of masses of numerical data – Statistics is the science that deals with the collection, classification, analysis, and interpretation of numerical facts or data, and that, by use of mathematical theories of probability, imposes order and regularity on…
TOPIC 4: RESPONSIBLE CITIZENSHIP The Meaning of Citizen and Citizenship Citizen a person who is accepted as a member and who belongs to a certain country. Citizenship is the state of being a citizen of a particular country. In Tanzania a person cannot be a citizen of more than one country. A responsible citizen is one who fulfills the duties and responsibilities of a citizen in his country. CLICK HERE to continue reading the Notes in PDF.
TOPIC 6: CIRCLES Definition of Terms Circle, Chord, Radius, Diameter, Circumference, Arc, Sector, Centre and Segment of a Circle Define circle, chord, radius, diameter, circumference, arc, sector, centre and segment of a circle A circle: is the locus or the set of all points equidistant from a fixed point called the center. Arc: a curved line that is part of the circumference of a circle Chord: a line segment within a circle that touches 2 points on the circle. Circumference: The distance around the circle Diameter: The longest distance from one end of a circle to the other. Origin: The center of the circle Pi(π): A number, 3.141592…,…
TOPIC 3: STATISTICS Mean Calculating the Mean from a Set of Data, Frequency Distribution Tables and Histogram Calculate the mean from a set of data, frequency distribution tables and histogram Measures of central tendency: After collecting the data, organizing it and illustrating it by means of diagrams, there is a need to calculate certain statistical measures to describe the data more precisely. There are various types of measures of central tendency – the arithmetic mean (or simply the mean), the median, and the mode. Once the measures of central tendency are found, it is easier to compare two or more…
TOPIC 11: PERIMETERS AND AREAS Perimeters of Triangles and Quadrilaterals The Perimeters of Triangles and Quadrilaterals Find the perimeters of triangles and quadrilaterals Perimeter – is defined as the total length of a closed shape. It is obtained by adding the lengths of the sides inclosing the shape. Perimeter can be measured in , , ,, e. t. c Examples Example 1 Find the perimeters of the following shapes Solution Perimeter = 7 + 7 + 3 + 3 = 20 Perimeter = 2 + 4 + 5 = 11 Perimeter = 3 + 6 + 4 + 5…
TOPIC 10: COORDINATE GEOMETRY Coordinates of a Point The Coordinates of a Point Read the coordinates of a point Coordinates of a points – are the values of and enclosed by the bracket which are used to describe the position of a point in the plane The plane used is called − plane and it has two axis; horizontal axis known as − axis and; vertical axis known as − axis A Point Given its Coordinates Plot a point given its coordinates Suppose you were told to locate (5,2) on the plane. Where would you look? To understand the…
TOPIC 9: RATIO, PROFIT AND LOSS Ratio A ratio – is a way of comparing quantities measured in the same units Examples of ratios A class has 45 girls and 40 boys. The ratio of number of boys to the number of girls = 40: 45 A football ground 100 long and 50 wide. The ratio of length to the width = 100: 50 NOTE: Ratios can be simplified like fractions 40: 45 = 8: 9 100: 50 = 2: 1 A Ratio in its Simplest Form Express a ratio in its simplest form Example 1 Simplify the following ratios, giving…
TOPIC 8: NUMBERS (II) Rational Numbers A Rational Number Define a rational number A Rational Number is a real number that can be written as a simple fraction (i.e. as a ratio). Most numbers we use in everyday life are Rational Numbers. Number As a Fraction Rational? 5 5/1 Yes 1.75 7/4 Yes .001 1/1000 Yes -0.1 -1/10 Yes 0.111… 1/9 Yes √2(square root of 2) ? NO ! The square root of 2 cannot be written as a simple fraction! And there are many more such numbers, and because they are not rational they are called Irrational. The Basic Operations on Rational Numbers…
TOPIC 3: HUMAN POPULATION Definitions of Population – Population is total number of living things of a particular type or group who live in a particular area or environment. – Population is the number of organisms of the same group or species, which live in a particular geographical area. – Population refers to all the people or animals of a particular type or group that live in one country, area, or town. Definitions of Human Population – Human population is the number of people living in a particular area, from a village to the world as a whole. – Human…