# Being Collaborative

Being Collaborative is part of our Developing Mathematical Habits of Mind collection.

Good thinkers collaborate and communicate. They work productively with other people, valuing different points of view. They are willing to change their mind when presented with convincing arguments. They know when to seek help, when to support others, when to speak up and when to compromise.

Want to become better at collaborating mathematically?

These problems are ideal for working on with others. Find a friend, share ideas, and see if two heads really are better than one!

You can browse through the Number, Algebra, Geometry or Statistics collections, or scroll down to see the full set of problems below.

### Being Collaborative - Number

Number problems to work on with others.

### Being Collaborative - Algebra

Algebra problems to work on with others.

### Being Collaborative - Geometry

Geometry problems to work on with others.

### Being Collaborative - Statistics

Statistics problems to work on with others.

### American Billions

##### KS 3 Challenge Level:

Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by 3...

### What's it Worth?

##### KS 3 & 4 Challenge Level:

There are lots of different methods to find out what the shapes are worth - how many can you find?

### Estimating Angles

##### KS 2, 3 & 4 Challenge Level:

How good are you at estimating angles?

### Got It

##### KS 2 & 3 Challenge Level:

A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.

##### KS 3 Challenge Level:

A game for 2 or more people, based on the traditional card game Rummy. Players aim to make two `tricks', where each trick has to consist of a picture of a shape, a name that describes that shape, and two properties of the shape.

### Shapely Pairs

##### KS 3 Challenge Level:

A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...

### Property Chart

##### KS 3 Challenge Level:

A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?

### Transformation Game

##### KS 3 Challenge Level:

Why not challenge a friend to play this transformation game?

### Factors and Multiples Game

##### KS 2, 3 & 4 Challenge Level:

A game in which players take it in turns to choose a number. Can you block your opponent?

### Diamond Collector

##### KS 3 Challenge Level:

Collect as many diamonds as you can by drawing three straight lines.

### Playing Connect Three

##### KS 3 Challenge Level:

In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?

### First Connect Three

##### KS 2 & 3 Challenge Level:

The idea of this game is to add or subtract the two numbers on the dice and cover the result on the grid, trying to get a line of three. Are there some numbers that are good to aim for?

### All in a Jumble

##### KS 3 Challenge Level:

My measurements have got all jumbled up! Swap them around and see if you can find a combination where every measurement is valid.

### Reflecting Lines

##### KS 3 Challenge Level:

Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.

### Translating Lines

##### KS 3 Challenge Level:

Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.

### Surprising Transformations

##### KS 4 Challenge Level:

I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?

### How Would You Score It?

##### KS 3 Challenge Level:

Invent a scoring system for a 'guess the weight' competition.

### Sociable Cards

##### KS 3 Challenge Level:

Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?

### What Does Random Look Like?

##### KS 3 Challenge Level:

Engage in a little mathematical detective work to see if you can spot the fakes.

### Olympic Records

##### KS 3 Challenge Level:

Can you deduce which Olympic athletics events are represented by the graphs?

### What's That Graph?

##### KS 4 Challenge Level:

Can you work out which processes are represented by the graphs?

### Magic Letters

##### KS 3 Challenge Level:

Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?

### Constructing Triangles

##### KS 3 Challenge Level:

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

### Olympic Measures

##### KS 3 Challenge Level:

These Olympic quantities have been jumbled up! Can you put them back together again?

### Up, Down, Flying Around

##### KS 3 Challenge Level:

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

### Picturing the World

##### KS 3 Challenge Level:

How can we make sense of national and global statistics involving very large numbers?

### Perception Versus Reality

##### KS 4 & 5 Challenge Level:

Infographics are a powerful way of communicating statistical information. Can you come up with your own?

### Box Plot Match

##### KS 4 Challenge Level:

Match the cumulative frequency curves with their corresponding box plots.