Visualising and representing

There are 544 NRICH Mathematical resources connected to Visualising and representing
Trig reps
problem

Trig reps

Age
16 to 18
Challenge level
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Can you deduce the familiar properties of the sine and cosine functions starting from these three different mathematical representations?
Polar Bearings
problem

Polar Bearings

Age
16 to 18
Challenge level
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What on earth are polar coordinates, and why would you want to use them?
Factorising with Multilink
problem

Factorising with Multilink

Age
14 to 16
Challenge level
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Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?
Always a multiple?
problem

Always a multiple?

Age
11 to 14
Challenge level
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Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...
Maths Shop Window
problem

Maths Shop Window

Age
16 to 18
Challenge level
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Make a functional window display which will both satisfy the manager and make sense to the shoppers
Double Trouble
problem

Double Trouble

Age
14 to 16
Challenge level
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Simple additions can lead to intriguing results...
Take three numbers
problem

Take three numbers

Age
7 to 11
Challenge level
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What happens when you add three numbers together? Will your answer be odd or even? How do you know?
Odd times Even
problem

Odd times Even

Age
5 to 7
Challenge level
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This problem looks at how one example of your choice can show something about the general structure of multiplication.
Two numbers under the microscope
problem

Two numbers under the microscope

Age
5 to 7
Challenge level
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This investigates one particular property of number by looking closely at an example of adding two odd numbers together.
Take one example
article

Take one example

This article introduces the idea of generic proof for younger children and illustrates how one example can offer a proof of a general result through unpacking its underlying structure.