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

• TLF-IDM013742

This is a website designed for both teachers and students that addresses algebraic expressions from the Australian Curriculum for year 8 students. It contains material on using simple positive and negative fractions, substitution, collecting like terms, taking products, and expanding brackets using the distributive law ...

• 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-IDM021837

This sequence of lessons explores making algebraic generalisations of sequences. Students use spreadsheets to investigate potential arithmetic relationships and then use algebra to identify and justify which relationships are generally true. The task can be used as a springboard for an in-depth exploration of the Fibonacci ...

• TLF-IDA004372

This integrated unit of work explores the amazing structures of honeycomb by examining the properties of regular and irregular polygons and polyhedra. Students then move on to solve problems using geometric and algebraic reasoning.

• TLF-IDA004140

This unit of work focuses on algebra. Students simplify algebraic expressions involving adding, subtracting, multiplying, and dividing simple algebraic terms up to squares and cubes of algebraic factors that do not require use of exponent laws (such as multiplying and dividing coefficients or writing chains of or fractions ...

• TLF-IDA003298

This planning resource for Year 8 is for the topic of Linear expressions and equations. Students build on their knowledge of the order of operations, simplifying algebraic terms and their prior knowledge of the arithmetic laws. Students will now create and rearrange linear expressions, as well as expand and factorise them.

• TLF-IDM021150

The Goods and Services Tax (GST) is a tax placed on things people buy with money or things people do for money. Can you name some goods and services that have GST? What about some goods and services that don't have GST? Find out when and why the GST was first introduced.

• 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-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-IDM016285

This is the first in a series of Syllabus Bites related to direct and indirect proportion. Students revise the concept of ratio. They create short visual explanations showing how problems can be solved.