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Mathematics / Year 6 / Number and Algebra / Patterns and algebra

Curriculum content descriptions

Explore the use of brackets and order of operations to write number sentences (ACMNA134)

Elaborations
• appreciating the need for rules to complete multiple operations within the same number sentence
General capabilities
• Numeracy Numeracy
ScOT terms

Equations,  Order of operations

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Sites2See: Patterns and Algebra

Selected links to a range of interactive online resources for the study of patterns and algebra in Foundation to Year 6 Mathematics.

What is a physics engine?

Video games have evolved over the years to become more realistic. One reason for this could be that when objects move in video games, they seem to obey the laws of physics. The software that allows for this is called a physics engine. One equation that game programmers might be using when programming their physics engine ...

reSolve: Algebra: Triangle Inequality

This sequence of two lessons explores the triangle inequality theorem. Students are challenged to construct triangles with a given number of matchsticks, explore and record what combinations of sticks can create valid triangles and represent their findings using mathematical expressions. Each lesson is outlined in detail ...

Burning Down

This resource is a web page containing a challenging problem solving task that requires an understanding of rate and proportion. It can be solved in a number of ways for example graphically, using fractions or equations and all involve reasoning. A printable resource and solution is also available to support the task. This ...

The take-away bar: go figure

This tutorial is suitable for use with a screen reader. It explains strategies for solving subtractions in your head such as 87-39. Work through sample questions and instructions explaining how to use linear partitioning techniques. Solve subtractions by breaking them up into parts that are easy to work with, work out each ...

Introduction to differential calculus

This collection of 17 digital curriculum resources (all learning objects) is organised into three sections: rates of change; differential calculus; and review of differential calculus via three learning objects. Students explore rates of change through liquid-pouring activities, and are introduced to the gradient of secants ...

Laptop wrap: Parallelendicular

Students construct a series of GeoGebra applets that investigate the parameters gradient and intercepts of straight lines. They reinforce this knowledge with Microsoft Math 3.0.

Daily maximum temperature extremes graphs

This resource is a Bureau of Meteorology (BOM) web page that provides graphs that show the percentage area of the selected state or territory and the percentage area of Australia that experienced extremely hot, cold or wet conditions on each day of the month selected. Graphs on this page are available for the previous seven ...

Motion in a straight line

This is a teacher resource for motion in a straight line consisting of a website and a PDF with identical content. It contains discussion of the concepts of position, displacement, velocity, acceleration and speed. It shows how these concepts may be used to motivate the study of calculus and at the same time demonstrate ...

Simultaneous Equations: animation

A short animated introduction to simultaneous equations and a demonstration of the elimination method of solution, followed by an interactive quiz.

Acid Base Reactions

Students use this resource consisting of eleven slides with diagrams, written explanation and voice-over to understand that different bases react with acids and how word and chemical equations summarise the reactions. There is a two-question quiz and a summary slide.

Introduction to differential calculus

This is a teacher resource for an introduction to differential calculus, consisting of a website and a PDF with identical content. It contains an introduction to differentiation. It contains a discussion of the properties of the derivative of a given function and introduces and proves the chain rule, product rule and quotient ...

Daily extremes

This resource is a Bureau of Meteorology (BOM) web page that provides tables of data for the top ten temperature and rainfall records around Australia on the day, month, season or year selected. Highest and lowest maximum and minimum temperatures, as well as the highest rainfall totals, are displayed and ranked. The tables ...

Whole numbers with all four operations

This is a website designed for both teachers and students that addresses whole numbers with the four operations from the Australian Curriculum for year 6 students. It contains material on the strategies and algorithms used when adding, subtracting, multiplying and dividing whole numbers. There are pages for both teachers ...

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.

Simultaneous Equations

A short introduction to simultaneous equations and how they are solved.

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.

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.

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.

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.