Lesson Notes By Weeks and Term v4 - SHS 2

APPLICATIONS OF EXPRESSIONS, EQUATIONS AND INEQUALITIES

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  2. Lesson Notes By Weeks and Term v4
  3. SHS 2
  4. APPLICATIONS OF EXPRESSIONS, EQUATIONS AND INEQUALITIES

Subject: Mathematics

Class: SHS 2

Term: 1st Term

Week: 10

Grade code: 2.2.1.LI.2

Strand code: 2

Sub-strand code: 1

Content standard code: 2.2.1.CS.1

Indicator code: 2.2.1.LI.2

Theme: ALGEBRAIC REASONING

Subtheme: APPLICATIONS OF EXPRESSIONS, EQUATIONS AND INEQUALITIES

Lesson Video

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Performance objectives

Lesson summary

In our daily lives, we often face situations where we have two or more related unknown quantities and two or more pieces of information connecting them. For example, if you go to the market and buy some oranges and mangoes, and your friend also buys a different quantity of the same items, we can use algebra to find the exact price of one orange and one mango. This lesson introduces two powerful methods, substitution and elimination, to solve such problems, which are known as systems of simultaneous linear equations. Mastering these methods provides a fundamental tool for problem-solving in science, business, and everyday decision-making.

Lesson notes

A. What are Simultaneous Linear Equations?

A "system" of simultaneous linear equations is a set of two or more linear equations that share the same variables. In this lesson, we will focus on systems with two equations and two variables (usually `x` and `y`).

For example: Equation 1: `x + y = 10` Equation 2: `x - y = 2`

The "solution" to this system is the single pair of values for `x` and `y` that makes both equations true at the same time. Visually, if you were to draw the graph of each equation (which would be a straight line), the solution is the coordinate of the point where the two lines intersect.

Evaluation guide