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Calculus Graphs Integration Learning Objects Unit 2 Unit 4

Integration – Area under the curve

Investigate finding the area under a curve – integration. Use the sliders to change the boundaries. You can also modify the function being graphed.

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Graphs Learning Objects Linear Functions Unit 1

Straight line – from gradient and point

Investigate translations (x-h) and (y-k) of a straight line with a gradient (m).

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Calculus Differentiation Graphs Learning Objects Unit 2 Unit 4

Gradient from first principles

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Cubic Functions Graphs Learning Objects Unit 1

Cubic graph from factors

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Exponential & logarithmic functions Graphs Learning Objects

The exponential function

Change the value of the base to find where the exponential function has the same derivative as itself.

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Circular Functions Graphs Learning Objects

Unit circle

A graphical representation of sin, cos & tan values around the circle.

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Functions & Relations Graphs Learning Objects Transformation of functions Unit 1

Square root graph

Investigate the transformations of the square root graph.

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Graphs Learning Objects Linear Functions Polynomial functions Unit 1 Unit 3

Families of simultaneous equations

A graphical solution to find where the equations have no solution, one solution or infinite solutions.

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Circular Functions Graphs Learning Objects Unit 2

Sin graph

Investigate changes to the amplitude, dilation, horizontal and vertical translation of a sin graph.

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Graphs Learning Objects Polynomial functions Unit 3

Hyberbola graph (Ratio of two linear functions)