Browse Australian Curriculum (version 8.2) content descriptions, elaborations and find matching resources.

F-10 Curriculum

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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.

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 ...

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.

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 ...

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 ...

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

This is a teacher resource for polynomials consisting of a website and a PDF with identical content. The website contains a number of screencasts discussing the solutions of exercises, a number of interactives demonstrating properties of polynomials and accompanying screencasts describing the interactives. The resource ...

This is a teacher resource for quadratics consisting of a website and a PDF with identical content. The website contains a number of screencasts discussing the solutions of exercises, a number of interactives demonstrating properties of quadratics and accompanying screencasts describing the interactives. The resource contains ...

This sequence of three lessons explores different representations of quadratic functions, with particular emphasis on turning points in quadratic graphs. Students use images of trajectories, inscribe their own curves using Geogebra and then further explore the algebraic representation of their curves. Each lesson is outlined ...

Observe the linear distance–time graph of a rocket travelling at a constant velocity. Calculate the average and instantaneous velocity of the rocket over different time intervals. Notice how as each time interval becomes smaller the rocket's average velocity is equivalent to its instantaneous velocity. Work out how the ...

Observe the non-linear distance–time graph of a rocket travelling at a changing velocity. Calculate the average and instantaneous velocity of the rocket over different time intervals. Notice how as each time interval becomes smaller, the rocket's average velocity approaches its instantaneous velocity. Use the slider to ...

Observe the non-linear distance–time graph of a rocket travelling at a changing velocity. The distance, s, travelled by the rocket after t seconds is determined by the formula s(t) = t². Calculate the average velocity of the rocket over time intervals that become progressively shorter. Tabulate the results and look for ...

Observe the non-linear graphs of various power functions (such as f(x) = x², or f(x) = x³) and select the expressions for finding the gradient of the secant between small changes in x represented by Δx. Tabulate the values of f'(x) and plot the derivative of each function. Determine the pattern between the graphs for each ...

Observe the non-linear distance–time graph of a rocket travelling at a changing velocity. The distance, s, travelled by the rocket after t seconds is determined by the formula s(t) = t³ – 2. Calculate the average velocity of the rocket over time intervals that become progressively shorter. Tabulate the results and look ...

Observe the non-linear distance–time graph of a rocket travelling at a changing velocity. The distance, s, travelled by the rocket after t seconds is determined by the formula s(t) = t⁴ + t². Calculate the average velocity of the rocket over time intervals that become progressively shorter. Tabulate the results and look ...

Observe the linear and non-linear distance–time graphs of a rocket travelling at both constant and changing velocities. Calculate the average and instantaneous velocities of the rocket over different time intervals. Notice what happens to the average and instantaneous velocities as the time intervals become smaller. Work ...

Observe the non-linear distance-time graph of a rocket travelling at a changing velocity. Calculate the average velocity of the rocket over time intervals that become progressively shorter. Tabulate the results and derive a formula for finding the instantaneous velocity at a given point. In the second activity, observe ...

Observe the non-linear time graph of a rocket travelling at a changing velocity. The distance, s, travelled by the rocket after t seconds is determined by the formulas: s(t) = t³ – 2 and s(t) = t⁴ + t². Calculate the average velocity of the rocket over time intervals that become progressively shorter. Tabulate the results ...

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 ...

This collection of 11 digital curriculum resources is organised in three categories - types of circuits; circuit applications; and conductors and insulators. Interactive learning objects enable students to build and manipulate simple series and parallel electric circuits. Students investigate how current flows, effects ...