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Listed under:  Mathematics  >  Algebra  >  Functions and relations  >  Function graphs
Interactive resource

Filling glasses: find the right glass

Look closely at some line graphs. Examine the relationship between the shape of a glass and the time taken to fill it with juice. Notice that the fluid level rises more quickly in a narrow glass than in a wide glass. Choose the glass shape that matches a line graph representing its filling rate. This learning object is ...

Interactive resource

Filling glasses: find the right graph

Look closely at some line graphs. Examine the relationship between the shape of a glass and the time taken to fill it with juice. Notice that the fluid level rises more quickly in a narrow glass than in a wide glass. Choose both sections of a line graph representing the filling rate for a glass shape. This learning object ...

Interactive resource

Filling glasses: graphing and comparing

Look closely at pairs of line graphs. See the relationship between the shape of a glass and the time taken to fill it with juice. Notice that the fluid level rises more quickly in a narrow glass than in a wide glass. Identify the other variables which determine the shape of each line graph. This learning object is one in ...

Interactive resource

Filling glasses: create the right graph

Look closely at some line graphs. Examine the relationship between the shape of a glass and the time taken to fill it with juice. Notice that the fluid level rises more quickly in a narrow glass than in a wide glass. Choose both sections of a line graph representing the filling rate for a composite-shaped glass. This learning ...

Interactive resource

Filling glasses: create the right glass

Look closely at some line graphs. Examine the relationship between the shape of a glass and the time taken to fill it with juice. Notice that the fluid level rises more quickly in a narrow glass than in a wide glass. Choose both parts of the composite-shaped glass to match a line graph representing its filling rate. This ...

Interactive resource

Trig degrees

Use a unit circle tool to explore sine, cosine and tangent values in different quadrants. Determine the values for angles between 0° and 360°. Observe the symmetry and patterns of the functions to predict the behaviour of the graphs and the values for the functions in different quadrants. Observe the graphs animate and ...

Interactive resource

Trig degrees: cosine to 360

Use a unit circle tool to explore cosine values in different quadrants. Determine the cos Ø values for angles between 0° and 360°. Observe the symmetry and patterns of the functions to predict the behaviour of cos Ø in different quadrants. Observe the graph animate and visually connect it with the unit circle tool and table ...

Interactive resource

Trig degrees: tangent to 360

Use a unit circle tool to explore tangent values in different quadrants. Determine the tan Ø values for angles between 0° and 360°. Observe the symmetry and patterns of the functions to predict the behaviour of tan Ø in different quadrants. Observe the graph animate and visually connect it with the unit circle tool and ...

Interactive resource

Trig radians

Use a unit circle tool to explore sine, cosine and tangent values in different quadrants. Determine the values for angles between 0 and 2π radians. Observe the symmetry and patterns of the functions to predict the behaviour of the graphs and the values for the functions in different quadrants. Observe the graphs animate ...

Interactive resource

Trig radians: sine

Use a unit circle tool to explore sine values in different quadrants. Determine the sin Ø values for angles between 0 and 2π radians. Observe the symmetry and patterns of the functions to predict the behaviour of sin Ø in different quadrants. Observe the graphs animate and visually connect them with the unit circle tool ...

Interactive resource

Trig radians: cosine

Use a unit circle tool to explore cosine values in different quadrants. Determine the cos Ø values for angles between 0 and 2π radians. Observe the symmetry and patterns of the functions to predict the behaviour of cos Ø in different quadrants. Observe the graphs animate and visually connect them with the unit circle tool ...

Interactive resource

Trig radians: tangent

Use a unit circle tool to explore tangent values in different quadrants. Determine the tan Ø values for angles between 0 and 2π radians. Observe the symmetry and patterns of the functions to predict the behaviour of tan Ø in different quadrants. Observe the graphs animate and visually connect them with the unit circle tool ...

Interactive resource

Trig degrees: sine tool

Use a unit circle tool to explore sine values for angles between 0° and 360°. Observe the graph being drawn as each sine value is plotted. This learning object is one in a series of nine objects. Three objects in the series are also packaged as a combined learning object.

Interactive resource

Trig degrees: cosine tool

Use a unit circle tool to explore cosine values for angles between 0° and 360°. Observe the graph being drawn as each cosine value is plotted. This learning object is one in a series of nine objects. Three objects in the series are also packaged as a combined learning object.

Interactive resource

Trig degrees: tangent tool

Use a unit circle tool to explore tangent values for angles between 0° and 360°. Use the information to determine what the graph of tan Ø will look like. This learning object is one in a series of nine objects. Three objects in the series are also packaged as a combined learning object.

Interactive resource

Trig radians: sine tool

Use a unit circle tool to explore sine values in different quadrants. Determine the values of sine for angles between 0 and 2π radians. Observe how the graph represents the values. This learning object is one in a series of seven objects. Three objects in the series are also packaged as a combined learning object.

Interactive resource

Trig radians: cosine tool

Use a unit circle tool to explore cosine values in different quadrants. Determine the values of cosine for angles between 0 and 2π radians. Observe how the graph represents the values. This learning object is one in a series of seven objects. Three objects in the series are also packaged as a combined learning object.

Interactive resource

Trig radians: tangent tool

Use a unit circle tool to explore tangent values in different quadrants. Determine the values of tangent for angles between 0 and 2π radians. Use the information to determine what the graph of tan Ø will look like. This learning object is one in a series of seven objects. Three objects in the series are also packaged as ...

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 ...

Teacher resource

Algebra review

This teacher resource is particularly relevant for the topic Functions and graphs of the Australian Curriculum subject Mathematical Methods and will also serve as a review of Australian Curriculum F-10 algebra for existing year 11 subjects that contain material on functions, algebra and calculus. A brief history of algebraic ...