Year 2 Conjecturing and generalising

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

If you count from 1 to 20 and clap more loudly on the numbers in the two times table, as well as saying those numbers loudly, which numbers will be loud?

Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?

Which special types of numbers will you make with these tens and ones spinners?

This challenge invites you to create your own picture using just straight lines. Can you identify shapes with the same number of sides and decorate them in the same way?

What score can you get on the add and take-away path?

Create a pattern on the small grid. How could you extend your pattern on the larger grid?

Shapes are added to other shapes. Can you see what is happening? What is the rule?

This box does something to the numbers that go into it. What might be happening inside the box?

What happens when you add two odd numbers together?

Throw the dice and decide whether to double or halve the number. Will you be the first to reach the target?

Here is a selection of different shapes. Can you work out which ones are triangles, and why?

Pat counts her sweets in different groups and both times she has some left over. How many sweets could she have had?

What do you notice about these squares of numbers? What is the same? What is different?

Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?

Choose four numbers to put in the squares so that the differences between joined squares are odd.

Which numbers make these lights come on? Do any numbers light up all the lights?

Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?

If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?

This is a game for two players. Can you find out how to be the first to get to 12 o'clock?

Find a great variety of ways of asking questions which make 8.

In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?

This game involves addition and subtraction skills combined with some strategic thinking.

"Ip dip sky blue! Who's 'it'? It's you!" Where would you position yourself to be chosen?

How would you create the largest possible two-digit even number using the digit you're given?

The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

What happens when you add three numbers together? Will your answer be odd or even?

Here are some arrangements of circles. How many circles would I need to make the next size up for each? Can you create your own arrangement and investigate the number of circles it needs?

In these addition games, you'll need to think strategically to get closest to the target.

Are these statements relating to odd and even numbers always, sometimes or never true?