Mathematics Lesson Notes JSS3 Third Term
Scheme Of Work.
Week One & Two: GEOMETRICAL CONSTRUCTION
Week Three: TANGENT OF AN ANGLE
Week Four &Five: MEASURE OF CENTRAL TENDENCY
Week Six: VARIATION
Week Seven: DATA PRESENTATION
JSS3 Third Term Mathematics Lesson Note
Below are the 2022 mathematics lesson notes for jss3 third term
Week 1 & 2
Topic: GEOMETRICAL CONSTRUCTION
Using ruler and compasses
Remember the following when making geometrical constructions.
1. Use a hard pencil with a sharp point. This gives thin lines which are more accurate.
2. Check that your ruler has a good straight edge. A damaged ruler is useless for construction work.
3. Check that your compasses are not too loose. Tighten loose compasses with a small screwdriver.
4. All construction lines must be seen. Do not rub out anything which leads to the final result.
5. Always take great care, especially when drawing a line through a point.
6. Where possible, arrange that the angles of intersection between lines and arcs are about 900.
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Week 3
Topic: TANGENT OF AN ANGLE
The tangent is one of the three basic trigonometric functions, the other two being sine and cosine. These functions are essential to the study of triangles and relate the angles of the triangle to its sides. The simplest definition of the tangent uses the ratios of the sides of a right triangle, and modern methods express this function as the sum of an infinite series. Tangents can be calculated directly when the lengths of the sides of the right triangle are known and can also be derived from other trigonometric functions.
Step 1
Identify and label the parts of a right triangle. The right angle will be at vertex C, and the side opposite it will be the hypotenuse h. The angle θ will be at vertex A, and the remaining vertex will be B. The side adjacent to angle θ will be side b and the side opposite angle θ will be side a. The two sides of a triangle that are not the hypotenuse are known as the legs of the triangle.
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JSS3 Third Term Mathematics Lesson Note
Week 4 & 5 Topic: Measure of Central Tendency
Introduction
A measure of central tendency is a single value that attempts to describe a set of data by identifying the central position within that set of data. As such, measures of central tendency are sometimes called measures of central location. They are also classed as summary statistics. The mean (often called the average) is most likely the measure of central tendency that you are most familiar with, but there are others, such as the median and the mode.
The mean, median and mode are all valid measures of central tendency, but under different conditions, some measures of central tendency become more appropriate to use than others. In the following sections, we will look at the mean, mode and median, and learn how to calculate them and under what conditions they are most appropriate to be used.
Mean (Arithmetic)
The mean (or average) is the most popular and well-known measure of central tendency. It can be used with discrete and continuous data, although it is most often with continuous data (see our Types of Variable guide for data types). The mean is equal to the sum of all the values in the data set divided by the number of values in the data set. So, if we have n values in a data set and they have values x1, x2, …, xn, the sample mean, usually denoted by
(pronounced x bar), is:
Week 6 Topic: VARIATION
Direct Variation
If a person buys some packets of sugar, the total cost is proportional to the number of packets bought.
The cost of 2 packets at Nx per packet isN2x.
The cost of 3 packets at Nx per packet isN3x.
The cost of n packets at Nx per packet isNnx.
The ratio of the total cost to the number of packets is the same for any number of packets bought.
This is an example of direct variation or direct proportion. The cost, C, varies directly with the number of packets, n. In the second example, the mass, M, varies directly with the length, L.
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JSS3 Third Term Mathematics Lesson Note
Week 7 Topic: Statistics
Types of Presentation
A good presentation can make statistical data easy to read, understand and interpret. Therefore it is important to present data clearly.
i. There are two main ways of presenting data: presentation of numbers or values in lists and tables;
ii. Presentation using graphs, i.e. pictures. We use the following examples to show the various kinds of presentations.
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An English teacher gave an essay to 15 students. |
She graded the essays from A (very good), through B, C.D, E to f (very poor). The grades of the students were:
B, C, A, B, A, D, F, E, C, C, A, B, B, E, B
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