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Binomial expansion

This lesson is designed to build and extend student understanding of binomial expansion through inquiry. Students are encouraged to work collaboratively to pose questions and share their understandings as they practise a procedure, find examples to interpret and change a prompt. They will learn when and how to use different methods to expand binomials. As students become more comfortable, examples become more challenging for students to calculate. The teacher guides and support students as they explore various patterns. Downloadable resources are provided to assist with teaching the topic.

Additional details
Year level(s)	Year 9
Audience	Teacher
Purpose	Assessment advice, Teaching resource, Teaching strategies, Assessment task
Format	Downloadable resources
Teaching strategies and pedagogical approaches	Collaborative learning, Differentiated teaching, Explicit teaching, Feedback, Mathematics investigation, Metacognitive strategies, Questioning, Structuring lessons, Worked examples
Keywords	factorisation, distributive law, algebraic expression, binomial expansion
Curriculum alignment
Curriculum connections	Numeracy, Critical and creative thinking
Strand and focus	Algebra, Number, Apply understanding, Build understanding
Topics	Algebraic expressions, Patterns and algebra, Properties of number, Addition and subtraction, Multiplication and division
AC: Mathematics (V9.0) content descriptions	AC9M9A02 Simplify algebraic expressions, expand binomial products and factorise monic quadratic expressions
Numeracy progression	Number patterns and algebraic thinking (P9)
Copyright details
Organisation	Inquiry Maths
Copyright	© Andrew Blair 2012-21. Creative Commons BY-NC-SA 4.0.