Please note: This site contains links to websites not controlled by the Australian Government or ESA. More information here.
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. |
Related resources
-
Ratio connections
A short mathematical inquiry that focuses on multiplicative relations to help students understand ratio.
Resource details -
Difference of cubes
The process of using common factors to factorise, solve and find the difference between quadratic equations.
Resource details -
Inequalities
Extend and apply the laws and properties of arithmetic to algebraic terms and expression.
Resource details -
Rectangle ratios
Establish formulas for area of rectangles and use these in problem-solving. Recognising and solving simple ratios.
Resource details