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Exponential and trigonometric functions

A selection of documents that share some nice ideas about exponential functions, trigonometric functions and a lovely context where both concepts come together.

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Cup Snakes – Describing Linear Change

A video introduction presents the mathematics of cup snakes, a hands on phenomena involving additive change that gives rise to a way to think about linear growth. Modeling this phenomena theoretically, with the help of two cups, and through data, with the help of many, many cups, these videos give rise to some of the big ideas around developing and using linear algebraic models to describe additive bi-variate change. These ideas are then unpacked in the accompanying ‘chapter replacement’ booklet.

Cup Snakes – Describing Linear Change

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CP011 Simplifying and Expanding

Collect like terms and expand and simplify expressions such as 3(4-2x)^2.

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CP012 Factorising

Factorisation of numbers and expressions (eg quadratics)

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CP041 Sequence: What Is My Rule?

Use the sequence function in Main to find the defining rule for various sequences

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CP042 Eliminate Function

Eliminate one variable from an equation using another equation.
Example: If x=8-2t and y=6t-1 find an expression for y in terms of x.

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CP043 Creating User Defined Variables

Create your own user functions.
Examples (i) f(x)=1/x or (ii) Ckh2ms to convert speeds from km/h to m/s

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CP044 Edit and Delete User Defined Functions

Managing your own user defined functions such as those created in the previous topic.

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CP071 Define Function with Many Variables

Create and use a function with many variables. Also edit a user defined function in the program editor.

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CP703 Geometry – Line Segment Midpoint

Draw a line segment between two points A and B and construct its midpoint.

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