**Mathematics Lesson Notes SS1 Second Term**

**SCHEME OF WORK**

**Week Two: Quadratic Equation by Factorization and Completing the Square Methods**

**Week Three: General Forms of Quadratic Equation leading to formula method**

**Week Four: Solutions of Quadratic Equations by Graphical Methods**

**Week Five: Idea of Sets**

**Week Six: Complement of Sets**

**Week Seven: Circle and its properties**

**Week Eight and Nine: Trigonometry Ratios**

**Week Ten: Application of Sine, Cosine and Tangent **

**Week Eleven: Logic **

**Week Twelve: Revision **

**Week Thirteen: Examination**

# Mathematics Lesson Note For SS1 (SecondTerm)

# Below are the 2022 complete SS1 Second Term Mathematics Lesson Note

Week Two: Quadratic Equation by Factorization and Completing the Square Methods

**INTRODUCTION:**

To factorize an expression means to write the expression as the product of its factors which usually involves the introduction of brackets. So we can say that factorization is the opposite of expansion and vice-versa. There are various ways of factorization. These methods depend on the nature of the expression to be factorized. These methods are:

Factorizing by taking out common factors

Factorizing by a grouping of terms of expression. To learn more, click here.

Week Three: General Forms of Quadratic Equation leading to formula method

**INTRODUCTION:**

Quadratic equation refers to the polynomial equation that have a general form of ax^{2}+bx+c=0, where a, b and c are co-efficient. a≠0 otherwise it would be a linear equation and c is constant. The quadratic formula is defined as x= (-b±√b^{2}-4ac)/2a, where “a” is the co-efficient of the x^{2}, b is the linear coefficient of the x and c is the constant term. Therefore, the quadratic formula involves substituting the coefficient from a given quadratic equation into the formula. To learn more, click **here.**

# Week Four: Solutions of Quadratic Equations by Graphical Methods

**INTRODUCTION:**

We can solve a quadratic equation by factoring, completing the square, using the quadratic formula or using the graphical method.

Compared to the other methods, the graphical method only gives an estimate to the solution(s). If the graph of the quadratic function crosses the *x*-axis at two points then we have two solutions. If the graph touches the *x*-axis at one point then we have one solution. If the graph does not intersect with the *x*-axis then the equation has no real solution. To learn more, click here.

Week Five: Idea of Sets

**INTRODUCTION:**

A set can be defined as a collection of objects according to well defined common elements or properties. The main purpose of this their common property is foe easy identification. For instance, we hear of under 13 football players, meaning “the set of football players” whose ages fall below 13 years; “set of school uniform {of the dresses and sandals. To learn more, click **here.**

Week Six: Complement of Sets

**INTRODUCTION:**

Let’s say that we have a set *A* that is a subset of some universal set *U*. The **complement** of *A* is the set of elements of the universal set that are not elements of *A*. In our example above, the complement of {-2, -1, 0, 1} is the set containing all the integers that do not satisfy the inequality.

We can write A^{c}

You can also say complement of A in U. To learn more, click **here.**

Week Seven: Circle and its properties

**INTRODUCTION:**

A circle is a simple, beautiful and symmetrical shape. When a circle is rotated through any angle about its centre, its orientation remains the same. When any straight line is drawn through its centre, it divides the circle into two identical semicircles. The line is known as the diameter. The common distance of the points of a circle from its centre is called radius. The perimeter or length of the circle is also known as the circumference. To learn more, click here.

Week Eight and Nine: Trigonometry Ratios

**INTRODUCTION:**

Trigonometry is the study of triangles in relation to their sides and angles and many other areas which find applications in many disciplines. In particular, trigonometry functions have come to play great roles in science. For example, in physics, it is used when we want to analyse different kinds of waves, like sound waves, radio waves, light waves, etc. Also, trigonometric ideas are of great importance to surveying, navigation and engineering. To learn more, click **here.**

Week Ten: Application of Sine, Cosine and Tangent

**INTRODUCTION:**

Sine, Cosine and Tangent are all based on a Right-Angled Triangle

Before getting stuck into the functions, it helps to give a **name** to each side of a right triangle:

To learn more, click **here.**

Week Eleven: Logic

Week Twelve: Revision

This week, we would be doing a revision of all that we learned during the term.

Week Thirteen: Examination

Afterwards, we would write an examination, which would test our knowledge of what has been taught so far.