Mathematics / Year 9 / Number and Algebra / Patterns and algebra

View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Extend and apply the index laws to variables, using positive integer indices and the zero index (ACMNA212)

Elaborations
  • understanding that index laws apply to variables as well as numbers
General capabilities
  • Numeracy Numeracy
ScOT terms

Zero index,  Pronumerals,  Positive indices

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Year level 9-10
Resource type
Learning area Mathematics
Interactive resource

Exploring the laws of exponents

Examine the group of seven laws of exponents such as the product law and quotient law. Adjust variables and explore patterns in the number operations. Identify the order of operations for equations involving exponents. Solve a group of expressions to uncover dinosaur bones at a dig site. Apply all of the laws of exponents ...

Interactive Resource

Laptop wrap: Expanding on algebra

Students make a presentation on the index laws, investigate the visual representation of the binomial expansions and design an acronym to help recall the special products. 

Teacher resource

TIMES Module 32: Number and Algebra: fractions and the index laws in algebra - teacher guide

This is a 24-page guide for teachers. This module extends the use of pronumerals to include algebraic fractions. It includes substitution, adding like terms, the use of brackets and multiplying terms, the use of algebra to describe number patterns and extending the use of the index laws. Algebraic notation is discussed.

Interactive resource

Exploring square roots

Build a square on a grid to cover a given number of units. Notice that each side of the square equals the square root of the area. Calculate the area of each square and work out the square root. For example, calculate the length of each side needed for a square to cover 81 units. Calculate the area of squares bordering ...

Interactive Resource

Solution of simple linear equations

This is a six-page HTML resource about solving problems concerning simple linear equations. It contains five questions, three of which are interactive, and one video. The resource discusses and explains the solution of simple linear equations to reinforce the students' understanding.

Interactive Resource

Substitute values into simple linear equations

This is a five-page HTML resource about solving problems concerning substitution into simple linear equations. It contains four questions, one of which is interactive, and one video. The resource discusses and explains substitution into simple linear equations to reinforce students' understanding.

Teacher resource

TIMES Module 33: Number and Algebra: factorisation - teacher guide

This is a 17-page guide for teachers. It continues the discussion of factorisation. In particular, the techniques for the factorisation of quadratic expressions are presented.

Teacher resource

TIMES Module 36: Number and Algebra: formulas - teacher guide

This is a 13-page guide for teachers. It introduces the use of formulas, and includes substitution and the solution of the resulting equations.

Teacher resource

TIMES Module 25: Number and Algebra: special expansions and algebraic fractions - teacher guide

This is a 21-page guide for teachers. It introduces pronumerals and their uses. Algebraic notation is discussed. It includes substitution, adding like terms, expanding two or more sets of brackets, the difference of squares, and algebraic fractions.

Teacher resource

TIMES Module 34: Number and Algebra: quadratic equations - teacher guide

This is a 19-page guide for teachers. It introduces quadratic equations and methods for solving them.