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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.
|Year level(s)||Year 9|
|Purpose||Assessment advice, Teaching resource, Teaching strategies, Assessment task|
|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 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 content descriptions||
ACMNA213 Apply the distributive law to the expansion of algebraic expressions, including binomials, and collect like terms where appropriate
|National numeracy learning progression||
Number patterns and algebraic thinking
© Andrew Blair 2012-21. Creative Commons BY-NC-SA 4.0.