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Mathematics Lesson Notes JSS2 Third Term

Scheme Of Work

Week One: ANGLES IN A POLYGON

Week Two: ANGLES OF ELEVATION AND DEPRESSION

Week Three: STATISTICS – PRESENTATION OF DATA

Week Four: JSS2 MATHEMATICS THIRD TERM: PROBABILITY

Week Five: SOLVING EQUATIONS

Week Six: USING CALCULATORS AND TABLETS

Week Seven: JSS2 MATHEMATICS THIRD TERM: PYTHAGORAS’ THEOREM

Week Eight: JSS2 MATHEMATICS THIRD TERM: TABLES, TIMETABLES, AND CHARTS

Week Nine: JSS2 MATHEMATICS THIRD TERM: CYLINDERS AND CONES

Week Ten: JSS 2 MATHEMATICS THIRD TERM: BEARINGS AND DISTANCES

mathematics for jss2 third term

Below are the 2022 mathematics lesson notes  for  jss2 third term

Mathematics Lesson Notes JSS2 Third Term

Week One & Two  Topic: ANGLES IN A POLYGON

Angles between lines

If a line is split into 2 and you know one angle you can always find the other one.

Image

Example: If we know one angle is 45° what is angle “a” ?

Angle a is 180° − 45° = 135°

This method can be used for several angles on one side of a straight line.

Example: What is angle “b” ?

Week Three Topic: ANGLES OF ELEVATION AND DEPRESSION

Any surface which is parallel to the surface of the earth is said to be horizontal. For example, the surface of liquid in a container is always horizontal, even if the container is held at an angle.

The floor of your classroom is horizontal. Any line drawn on horizontal surface is will also be horizontal. Any line or surface which is perpendicular to a surface is said to be vertical. The walls of your classroom are vertical. A plum-line is a mass which hangs freely on a thread.

1. Say whether the following are horizontal or vertical, or neither:

a. the table top

b. the door

c. the pictures

d. the floor boards

e. the back of the chair

f. the table legs

g. the ruler (on the table)

h. the line where the walls meet

i. the brush handle

j. the top edge of the small

Elevation and depression

JSS2 Third Term Mathematics Lesson Note

Week Four & Five  Topic: STATISTICS 2 – PRESENTATION OF DATA

Types of Presentation

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. picture. We use the following examples to show the various kinds of presentation.

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

Week Six Topic: PROBABILITY

Experimental Probability

A farmer asks, ‘Will it rain this month?’. The answer to the farmer’s question depends on three things; the months, the place where the farmer is, and what has happened in the past three months in that place. The table below gives some answers to the question for different places and months.

Sokoto February No

Jos July Ye

Port Harcourt June yes

Is it possible to give a more accurate answer to a farmer near Ibadan in January? The table below shows that on average, 10mm of rain falls in Ibadan in January. However, this is an average found by keeping records over twelve years. The actual rainfall for Ibadan in January over the 12 years was as follows. To learn more: Click here

Week Seven Topic: SOLVING EQUATIONS

Solving Equations (1)

2x – 9 = 15 is an equation in x. x is the unknown in the equation. 2x – 9 is on the left-hand side (LHS) of the equals sign and 15 is on the right-hand side (RHS) of the equal sign.

To solve an equation means to find the value of the unknown that makes the equation true.

The balance method (revision)

Think of the two sides of an equation as forming a balance. Keep the balance by doing the same operation to both sides of the equation.

Example

Solve 3x = 12

3x = 12

Divide both the LHS and RHS by 3, the coefficient of the unknown. This keeps the balance of the equation.

3x/3 = 12/3

x = 4

x = 4 is the solution of the equation 3x = 12

check: when x = 4, LHS = 3 X 4 = 12 = RHS

JSS2 Third Term Mathematics Lesson Note

Week Eight Topic: USING CALCULATORS AND TABLES

Power

Most calculators get their power from a lar cell. This powers the calculator so long as lithe ght is available (daylight, electric bulb or even candle-light).

Display

The display shows the answers. The digits in the display are usually made of small line segments.

Keyboard

The keyboard has four main sets of keys or buttons:

1. Number keys

Press these keys: “0”, “1”, “2”, “3”, “4”, “5”, “6”,”7”, “8”, “9” and the decimal point key (usually shown as a dot .) to enter the number into the calculator.

2. Basic calculation keys

Press these keys: “+”,” –“, “X”, “÷”, “%”, “√” and “=” to operate on the numbers you have entered, and to display answers. To learn more: Click here

Week Nine Topic: PYTHAGORAS’ THEOREM

Pythagorean theorem which states the special relationship between the sides of a right triangle is perhaps the most popular and most applied theorem in Geometry. The algebraic statement of the Pythagorean theorem is used to derive the distance formula in coordinate Geometry and to prove the Pythagorean identities in Trigonometry. In fact, the fundamentals of Trigonometry are taught using the ratios of the sides of a right triangle.

Right triangles and Pythagorean theorem are not only used to solve real life problems, but often used in solving many advanced problems in Mathematics and Physical Sciences.

Euclid used squares drawn on the sides of the right angles and showed the area of the square drawn on the hypotenuse is equal to the sum of the areas of the squares drawn on the legs of a right triangle.

The algebraic form of the statement of Pythagoras theorem c2 = a2 + b2 is used in solving right triangles. To learn more: Click here

Week Ten Topic: TABLES, TIMES TABLES, AND CHARTS

Tabulated data means information given in a table. Tabulated data is often in numerical form. Numerical tables are a neat way of storing a lot of information. They have a wide range of uses. When reading a numerical table, always look first at its title, its column headings and its row headings. These show what the table is all about. Look at the headings in the table below, it’s a monthly rainfall chart. The column heading show the letters J, F, M, …. These are abbreviations for January, February, March, …

J F M A M J J A S O N D

Sokoto 0 0 0 10 48 91 155 249 145 15 15 0

Jos 3 3 28 56 203 226 330 292 213 41 3 3

Ibadan 10 23 89 137 150 188 160 84 178 155 46 10

Port Harcourt 66 109 155 262 404 660 531 318 516 460 213 81

Abbreviations are often used in tables. They save space. We often have to use common sense when deciding what the abbreviations are short for. The row headings give the names of four towns for any month.

We read the table by making a cross-reference.  For example, to find the rainfall for Ibadan and down from S. Where the two directions cross, gives the information. On average, Ibadan gets 178 mm of rain in September. Refer to the table above for the exercise

Week Eleven Topic: CYLINDERS AND CONES

Shows that the net of a cylinder is made up of two circles and a rectangle. The total surface area of the cylinder will be the total area of the two circles and the rectangle.

Then, fold the rectangle until you make an open cylinder with it. An open cylinder is a cylinder that has no bases. A goodreal-lifee example of an open cylinder is a pipe used to flow water if you have seen one before

Next, using the two circles as bases for the cylinder, put one on top of the cylinder and put one beneath it.

obviously, the two circles will have the exact same size or the same diameter as the circles obtained by folding the rectangle

Week Twelve Topic: BEARING AND DISTANCE

Compass directions

There are four main directions: north (N), south (S), east (E), and west (W). The sun rises in the east and sets in the west. If you face east and turn through an angle of 900 to your left, you will face north.

If you face north and turn an angle of 900 to the left, you will face west.

To face south, face east, then turn an angle of 900 to the right. See the figure below.