8th Grade Expansions And Factorisation Of Algebraic Expressions Lesson Plan (Math)

Topic: expansions and factorisation of algebraic expressions

Objectives & Outcomes

• Understand the concept of expanding a product of two algebraic expressions.
• Be able to factorise an algebraic expression using special products.
• Be able to factorise an algebraic expression by grouping terms.

Materials

• Algebraic expressions
• Special products of algebraic expressions (e.g. difference of two squares, perfect squares)
• Array cards (or other visual aids for representing arrays and products)
• Pencils and paper for writing

Warm-up

• Show the students some algebraic expressions and ask them to expand them. For example, ask them to expand (ax+b)(cx+d).
• As a class, discuss the different methods for expanding products of algebraic expressions and the patterns that can be observed.

Direct Instruction

• Introduce the multiplication frame as a tool for factorising ax^2+bx+c.
• Show the students how to use the multiplication frame to factorise ax^2+bx+c. For example, show them how to factorise (ax+b)(ax+b) using the multiplication frame.
• Explain how the special products of algebraic expressions, such as difference of two squares and perfect squares, can be expanded and factorised. For example, explain how to expand (ax^2-bx+c) and how to factorise (ax^2-bx+c) using the multiplication frame.
• Explain how to expand and factorise an algebraic expression using special products, such as difference of two squares and perfect squares. For example, explain how to expand (ax^2-bx+c) and how to factorise (ax^2-bx+c) using the multiplication frame.
• Explain how to factorise an algebraic expression by grouping terms. For example, explain how to factorise (ax^2+bx+c) by grouping terms.

Guided Practice

• Provide the students with examples of factorising quadratic expressions using the multiplication frame.
• Ask the students to solve the examples using the multiplication frame.
• Have the students work in pairs to practice factorising quadratic expressions using the multiplication frame.

Independent Practice

• Provide the students with more examples of factorising quadratic expressions using the multiplication frame.
• Ask the students to solve the examples on their own.
• Encourage the students to use the multiplication frame to factorise any quadratic expression they encounter in the future.

Closure

• Review the main points covered during the lesson, including the definition of factorisation, the use of the multiplication frame and the expansion of algebraic expressions.
• Ask the students to share any questions or difficulties they encountered during the lesson.

Assessment

• evaluate the students' work on their quiz and test, evaluating their understanding of the topics covered during the lesson.
• observe the students during the independent practice and provide feedback on their progress.
• evaluate the students' presentations and group work for understanding and completeness.