Mathematics / Year 8 / Number and Algebra / Patterns and algebra

• TLF-IDM021840

This sequence of lessons aims to develop understanding of algebra as generalised arithmetic. Students learn to express 2- and 3-digit numbers in a general form and use this to explain results of arithmetic operations involving numbers with their digits reversed. The task links the ideas of place value with algebraic reasoning. ...

• TLF-IDM021061

This sequence of two lessons gives students opportunities to explore and share strategies for solving algebraic problems. The lessons focus on open-ended problem solving and developing multiple approaches to solving problems algebraically such as using like terms and substitution. Students work individually and in small ...

• TLF-IDA004305

The activity has students collecting their own information from a well-known Australia car buying website and using this to find an estimated relationship between the ‘asking price’ for a used car and the distance it has traveled in kilometres.

• TLF-IDA003564

This comprehensive resource describes the progression of algebra-related ideas and algebraic thinking. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in algebra including teaching and cultural implications.

• TLF-IDA005452

This ten lesson unit of work focuses on linear relationships. Students define, identify, and plot linear and non-linear relations, determine coordinates of points on linear graphs, sketch linear graphs using two points, solve linear equations graphically, understand the effect of the coefficients of linear equations by ...

• TLF-IDA005451

This three lesson unit of work focuses on algebraic inequalities. Students explore and graph one-variable inequalities on number lines and Cartesian planes, solve linear inequalities and graph the solutions and identify regions of the Cartesian plane that the y-value is greater or less than a plotted linear relation. The ...

• TLF-IDA003284

This planning resource for Year 8 is for the topic of Patterns and number facts. Students bring together knowledge and skills on linear functions and relations and experiment with digital tools to investigate systematic variation of parameters to show the effect. Students cement their understanding of the 'm' and the 'c' ...

• TLF-IDA004259

Patterns can be represented in several ways and this unit will explore five different representations.

• TLF-IDA004061

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 8 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

• TLF-IDA003285

This planning resource for Year 8 is for the topic of Mathematical modelling. Students model linear relationships to solve real-world applications that they can relate to, such as financial contexts (for example, pay rates for part-time work) or measurements (for example, cooking, constant speed and distance/time graphs, ...