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Listed under:  Mathematics  >  Algebra  >  Equations
Teacher resource

Applications of differentiation

This is a teacher resource for applications of differentiation consisting of a website and a PDF with identical content. It contains a discussion of graph sketching, related rates of change and the solution of maxima and minima questions.

Collection

Graphing functions

This collection contains five digital curriculum resources (all interactive learning objects) that introduce students to graphing linear, parabolic, cubic and trigonometric functions. Through exercises, students investigate how the constants in each function equation influence relevant aspects of graphing, such as dilations ...

Text

S-tunes

Are music downloads a CD swan song? The application form for a radio DJ included the question 'What CD do you currently have loaded in your CD player?' The young applicant responded, 'I don’t own a CD player.' The Y-gen are techno savvy, but at what cost? A song from popular online stores costs around $1.30 each. A compilation ...

Teacher resource

TIMES Module 23: Number and Algebra: algebraic expressions - teacher guide

This is a 25-page guide for teachers. This module introduces pronumerals and their uses. Algebraic notation is discussed. It includes substitution, adding like terms, the use of brackets, multiplying terms and using algebra to describe number patterns.

Teacher resource

TIMES Module 24: Number and Algebra: negatives and the index laws in algebra - teacher guide

This is a 19-page guide for teachers. It extends the use of pronumerals to include negative numbers. Algebraic notation is discussed. It includes substitution, adding like terms, the use of brackets, multiplying terms and using algebra to describe number patterns.

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 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 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.

Teacher resource

TIMES Module 8: Statistics and Probability: data investigation and interpretation, year 10 - teacher guide

This is a 29-page guide for teachers. Box plots are introduced as another graphical tool and are used for comparisons of data. Scatter plots are used to explore relationships between quantitative (usually continuous) variables.

Teacher resource

Starting Smart: is it the same?

This curriculum resource package is a ten-week middle years teaching plan and set of supporting resources to extend students' understanding of algebraic expressions and equations. Students explore equivalences in arithmetic and algebraic expressions, evaluate algebraic expressions, and construct and learn to solve equations ...

Teacher resource

Starting Smart: how are problems solved? - years 4-6

This curriculum resource package is a ten-week teaching plan and set of supporting resources for the middle to upper primary years, focusing on developing students' problem-solving skills. Beginning with students' understanding and knowledge of number, students learn strategies to use number sentences to solve problems ...

Interactive Resource

Linear equations and inequalities

This resource is a collection of screen displays of questions relating to linear equations and inequations. Graphing tasks involve determining the coordinates of two points on the linear function. Other tasks are presented as multiple-choice questions and involve finding slopes of lines, calculating intercepts with the ...

Moving Image

Non-linear systems of equations

This digital resource presents a video demonstration, with commentary, of the pen-and-paper technique of constructing the graphs of linear and quadratic functions to find the solutions to a non-linear system of equations. In a single example, a step-by-step illustration of the written method is presented, complemented by ...

Interactive Resource

Order of operations

This is a set of interactive questions relating to the laws of arithmetic, their usefulness in calculations, and their importance and relevance in order of operations calculations. The questions challenge and extend students' thinking about generalisations of the laws and make a link between arithmetic and algebra. The ...

Interactive Resource

Volumes of prisms

This is a four-page HTML resource about solving problems concerning volumes of prisms. It contains one video and four questions, two of of which are interactive. The resource discusses and explains solving problems concerning volumes of prisms to reinforce students' understanding.

Interactive Resource

Evaluating formulas

This is a six-page HTML resource about solving problems involving substitution into algebraic expressions and formulas. It contains one video and three questions, one of which is interactive. The resource discusses and explains solving problems with substituting into algebraic expressions and formulas to reinforce students' ...

Interactive Resource

Identifying a possible non-linear rule for a given table of values

This is a five-page HTML resource about solving problems involving the identification of possible non-linear rules matching given tables of values. It contains five questions, two of which are interactive, and one video. The resource discusses and explains identifying a possible non-linear rule that matches a given table ...

Interactive Resource

Linear relations in a variety of contexts

This is a six-page HTML resource about solving problems concerning linear relations in different contexts. It contains four questions, one of which is interactive, and one video. The resource discusses and explains linear relations in a variety of contexts to reinforce the students' understanding.

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.