Unlocking the Secrets of Factorising Expressions

Unlocking the Secrets of Factorising Expressions

Learning Objective

At the end of the lesson, you will be able to understand and apply the concept of factorising expressions.

What do you already know about factorising expressions?

What are Expressions?

Expressions are mathematical statements that contain variables, numbers, and operations such as addition, subtraction, multiplication, and division.

Why Factorise?

Factorising expressions helps us simplify and solve equations more easily. It allows us to find common factors and identify patterns.

Factoring Out Common Factors

Factoring out common factors involves finding the greatest common factor (GCF) of the terms in an expression and dividing each term by it.

Factoring Quadratic Expressions

Quadratic expressions are expressions with a variable raised to the power of 2. Factoring them involves finding two binomials whose product equals the original expression.

Factoring Difference of Squares

The difference of squares is an expression in the form of a^2 - b^2. It can be factored into the product of two binomials: (a + b)(a - b).

Factoring Trinomials

Trinomials are expressions with three terms. Factoring trinomials involves finding two binomials whose product equals the original trinomial.

Review and Practice

Review the different methods of factorising expressions and provide practice problems for students to apply their knowledge.

Write down 3 things you learned in this lesson.

Have students enter three things they learned in this lesson. With this they can indicate their own learning efficiency of this lesson.

Write down 2 things you want to know more about.

Here, students enter two things they would like to know more about. This not only increases involvement, but also gives them more ownership.

Ask 1 question about something you haven't quite understood yet.

The students indicate here (in question form) with which part of the material they still have difficulty. For the teacher, this not only provides insight into the extent to which the students understand/master the material, but also a good starting point for the next lesson.