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Graphs. Video. Linear functions. Gradients. Speed. Quadratic functions. Dynamic geometry. Generalising. Making and proving conjectures. Mathematical reasoning & proof.

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Broad Topics > Information and Communications Technology > Video

Charlie's Mapping

Stage: 3 Challenge Level:

Charlie has created a mapping. Can you figure out what it does? What questions does it prompt you to ask?

Alison's Mapping

Stage: 4 Challenge Level:

Alison has created two mappings. Can you figure out what they do? What questions do they prompt you to ask?

Beelines

Stage: 4 Challenge Level:

Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?

Cyclic Quad Jigsaw

Stage: 4 Challenge Level:

A picture is made by joining five small quadrilaterals together to make a large quadrilateral. Is it possible to draw a similar picture if all the small quadrilaterals are cyclic?

ACE, TWO, THREE...

Stage: 3 Challenge Level:

Can you picture how to order the cards to reproduce Charlie's card trick for yourself?

Always a Multiple?

Stage: 3 Challenge Level:

Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

Summing Geometric Progressions

Stage: 4 and 5 Challenge Level:

Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?

Take Three from Five

Stage: 4 Challenge Level:

Caroline and James pick sets of five numbers. Charlie chooses three of them that add together to make a multiple of three. Can they stop him?

Seven Squares

Stage: 3 Challenge Level:

Watch these videos to see how Phoebe, Alice and Luke chose to draw 7 squares. How would they draw 100?

Slick Summing

Stage: 4 Challenge Level:

Watch the video to see how Charlie works out the sum. Can you adapt his method?

Strange Bank Account

Stage: 3 Challenge Level:

Imagine a very strange bank account where you are only allowed to do two things...

Twisting and Turning

Stage: 3 Challenge Level:

Take a look at the video and try to find a sequence of moves that will take you back to zero.

Seven Squares - Group-worthy Task

Stage: 3 Challenge Level:

Choose a couple of the sequences. Try to picture how to make the next, and the next, and the next... Can you describe your reasoning?

Summing Consecutive Numbers

Stage: 3 Challenge Level:

Many numbers can be expressed as the sum of two or more consecutive integers. For example, 15=7+8 and 10=1+2+3+4. Can you say which numbers can be expressed in this way?

Frogs

Stage: 3 Challenge Level:

How many moves does it take to swap over some red and blue frogs? Do you have a method?

Constructing Triangles

Stage: 3 Challenge Level:

Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?

Symmetric Tangles

Stage: 4

The tangles created by the twists and turns of the Conway rope trick are surprisingly symmetrical. Here's why!

Circuit Maker

Stage: 3, 4 and 5 Challenge Level:

Investigate how logic gates work in circuits.

Turning Tangles

Stage: 3 Challenge Level:

Look carefully at the video of a tangle and explain what's happening.

A Brief Introduction to Complex Numbers

Stage: 4 and 5 Challenge Level:

In this problem, we define complex numbers and invite you to explore what happens when you add and multiply them.

Perimeter Possibilities

Stage: 3 Challenge Level:

I'm thinking of a rectangle with an area of 24. What could its perimeter be?

Power Countdown

Stage: 4 Challenge Level:

In this twist on the well-known Countdown numbers game, use your knowledge of Powers and Roots to make a target.

James's Code Challenge

Stage: 2, 3, 4 and 5 Challenge Level:

The Enigma Project's James Grime has created a video code challenge. Watch it here!

Introduction to Number Plumber

Stage: 2, 3, 4 and 5 Challenge Level:

Video showing how to use the Number Plumber

Air Nets

Stage: 2, 3, 4 and 5 Challenge Level:

Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.

Helicopters

Stage: 2, 3 and 4 Challenge Level:

Design and test a paper helicopter. What is the best design?

Up, Down, Flying Around

Stage: 3 Challenge Level:

Play this game to learn about adding and subtracting positive and negative numbers

The Best Card Trick?

Stage: 3 and 4 Challenge Level:

Time for a little mathemagic! Choose any five cards from a pack and show four of them to your partner. How can they work out the fifth?

Kingsfield School - Building on Rich Starting Points

Stage: 1, 2, 3, 4 and 5

Alf and Tracy explain how the Kingsfield School maths department use common tasks to encourage all students to think mathematically about key areas in the curriculum.

Turning the Place Over

Stage: 3, 4 and 5 Challenge Level:

As part of Liverpool08 European Capital of Culture there were a huge number of events and displays. One of the art installations was called "Turning the Place Over". Can you find our how it works?