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Resources tagged with Differentiation similar to Bridge Builder:

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Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

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Broad Topics > Pre-Calculus and Calculus > Differentiation

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Ramping it Up

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Look at the calculus behind the simple act of a car going over a step.

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Impedance Can Be Complex!

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Put your complex numbers and calculus to the test with this impedance calculation.

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Bend

Stage: 5 Challenge Level: Challenge Level:1

What is the longest stick that can be carried horizontally along a narrow corridor and around a right-angled bend?

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Integration Matcher

Stage: 5 Challenge Level: Challenge Level:1

Match the charts of these functions to the charts of their integrals.

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An Introduction to Differentiation

Stage: 4 and 5

An article introducing the ideas of differentiation.

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Operating Machines

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

What functions can you make using the function machines RECIPROCAL and PRODUCT and the operator machines DIFF and INT?

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Towards Maclaurin

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Build series for the sine and cosine functions by adding one term at a time, alternately making the approximation too big then too small but getting ever closer.

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Turning to Calculus

Stage: 5 Challenge Level: Challenge Level:1

Get started with calculus by exploring the connections between the sign of a curve and the sign of its gradient.

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Loch Ness

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Draw graphs of the sine and modulus functions and explain the humps.

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Calculus Countdown

Stage: 5 Challenge Level: Challenge Level:1

Can you hit the target functions using a set of input functions and a little calculus and algebra?

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Exponential Trend

Stage: 5 Challenge Level: Challenge Level:1

Find all the turning points of y=x^{1/x} for x>0 and decide whether each is a maximum or minimum. Give a sketch of the graph.

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Slide

Stage: 5 Challenge Level: Challenge Level:1

This function involves absolute values. To find the slope on the slide use different equations to define the function in different parts of its domain.

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Least of All

Stage: 5 Challenge Level: Challenge Level:1

A point moves on a line segment. A function depends on the position of the point. Where do you expect the point to be for a minimum of this function to occur.

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Bird-brained

Stage: 5 Challenge Level: Challenge Level:1

How many eggs should a bird lay to maximise the number of chicks that will hatch? An introduction to optimisation.

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Quick Route

Stage: 5 Challenge Level: Challenge Level:1

What is the quickest route across a ploughed field when your speed around the edge is greater?

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Generally Geometric

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Generalise the sum of a GP by using derivatives to make the coefficients into powers of the natural numbers.