Search by Topic

Resources tagged with Investigations similar to Developing the Classroom Culture: Using the Dotty Six Activity as a Springboard for Investigation:

Filter by: Content type:
Stage:
Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

Other tags that relate to Developing the Classroom Culture: Using the Dotty Six Activity as a Springboard for Investigation
Pedagogy. Problem solving. Learning mathematics. Mathematical Thinking. Team-building. Investigations. Questioning. Rich Tasks. Shape, space & measures - generally. Enrichment.

There are 150 results

Broad Topics > Using, Applying and Reasoning about Mathematics > Investigations

problem icon

Stacks of Maths!

Stage: 1, 2 and 3

In this article for teachers, Bernard gives an example of taking an initial activity and getting questions going that lead to other explorations.

problem icon

Experiencing Problem Solving

Stage: 1 and 2

Bernard Bagnall looks at what 'problem solving' might really mean in the context of primary classrooms.

problem icon

Eye View

Stage: 2 Challenge Level: Challenge Level:1

Why does the tower look a different size in each of these pictures?

problem icon

Opening Out

Stage: 1 and 2

Bernard Bagnall describes how to get more out of some favourite NRICH investigations.

problem icon

Olympic Rings

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

This problem is intended to get children to look really hard at something they will see many times in the next few months.

problem icon

Become Maths Detectives

Stage: 2 Challenge Level: Challenge Level:1

Explore Alex's number plumber. What questions would you like to ask? Don't forget to keep visiting NRICH projects site for the latest developments and questions.

problem icon

It's a Fence!

Stage: 1 and 2 Challenge Level: Challenge Level:1

In this challenge, you will work in a group to investigate circular fences enclosing trees that are planted in square or triangular arrangements.

problem icon

Caterpillars

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?

problem icon

Birds in the Garden

Stage: 1 and 2 Challenge Level: Challenge Level:1

This activity asks you to collect information about the birds you see in the garden. Are there patterns in the data or do the birds seem to visit randomly?

problem icon

Tiling

Stage: 2 Challenge Level: Challenge Level:1

An investigation that gives you the opportunity to make and justify predictions.

problem icon

Play a Merry Tune

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Explore the different tunes you can make with these five gourds. What are the similarities and differences between the two tunes you are given?

problem icon

Division Rules

Stage: 2 Challenge Level: Challenge Level:1

This challenge encourages you to explore dividing a three-digit number by a single-digit number.

problem icon

Problem Solving: Opening up Problems

Stage: 1, 2, 3 and 4

All types of mathematical problems serve a useful purpose in mathematics teaching, but different types of problem will achieve different learning objectives. In generalmore open-ended problems have. . . .

problem icon

My New Patio

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

What is the smallest number of tiles needed to tile this patio? Can you investigate patios of different sizes?

problem icon

Cubes Here and There

Stage: 2 Challenge Level: Challenge Level:1

How many shapes can you build from three red and two green cubes? Can you use what you've found out to predict the number for four red and two green?

problem icon

Cutting it Out

Stage: 1 and 2 Challenge Level: Challenge Level:1

I cut this square into two different shapes. What can you say about the relationship between them?

problem icon

Sending and Receiving Cards

Stage: 2 Challenge Level: Challenge Level:1

This challenge asks you to investigate the total number of cards that would be sent if four children send one to all three others. How many would be sent if there were five children? Six?

problem icon

28 and It's Upward and Onward

Stage: 2 Challenge Level: Challenge Level:1

Can you find ways of joining cubes together so that 28 faces are visible?

problem icon

Sticks and Triangles

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Using different numbers of sticks, how many different triangles are you able to make? Can you make any rules about the numbers of sticks that make the most triangles?

problem icon

So It's 28

Stage: 1 Challenge Level: Challenge Level:1

Here is your chance to investigate the number 28 using shapes, cubes ... in fact anything at all.

problem icon

Hexpentas

Stage: 1 and 2 Challenge Level: Challenge Level:1

How many different ways can you find of fitting five hexagons together? How will you know you have found all the ways?

problem icon

Abundant Numbers

Stage: 2 Challenge Level: Challenge Level:1

48 is called an abundant number because it is less than the sum of its factors (without itself). Can you find some more abundant numbers?

problem icon

Baked Bean Cans

Stage: 1 Challenge Level: Challenge Level:1

Is there a best way to stack cans? What do different supermarkets do? How high can you safely stack the cans?

problem icon

Triangle Relations

Stage: 2 Challenge Level: Challenge Level:1

What do these two triangles have in common? How are they related?

problem icon

Triangle Pin-down

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Use the interactivity to investigate what kinds of triangles can be drawn on peg boards with different numbers of pegs.

problem icon

Street Sequences

Stage: 1 and 2 Challenge Level: Challenge Level:1

Investigate what happens when you add house numbers along a street in different ways.

problem icon

Two by One

Stage: 2 Challenge Level: Challenge Level:1

An activity making various patterns with 2 x 1 rectangular tiles.

problem icon

Colouring Triangles

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

Explore ways of colouring this set of triangles. Can you make symmetrical patterns?

problem icon

New House

Stage: 2 Challenge Level: Challenge Level:1

In this investigation, you must try to make houses using cubes. If the base must not spill over 4 squares and you have 7 cubes which stand for 7 rooms, what different designs can you come up with?

problem icon

Are You a Smart Shopper?

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

In my local town there are three supermarkets which each has a special deal on some products. If you bought all your shopping in one shop, where would be the cheapest?

problem icon

Sort the Street

Stage: 1 Challenge Level: Challenge Level:1

Sort the houses in my street into different groups. Can you do it in any other ways?

problem icon

The Pied Piper of Hamelin

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

This problem is based on the story of the Pied Piper of Hamelin. Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!

problem icon

Repeating Patterns

Stage: 1 Challenge Level: Challenge Level:1

Try continuing these patterns made from triangles. Can you create your own repeating pattern?

problem icon

Let's Investigate Triangles

Stage: 1 Challenge Level: Challenge Level:1

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?

problem icon

Mobile Numbers

Stage: 1 and 2 Challenge Level: Challenge Level:1

In this investigation, you are challenged to make mobile phone numbers which are easy to remember. What happens if you make a sequence adding 2 each time?

problem icon

All Wrapped Up

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

What is the largest cuboid you can wrap in an A3 sheet of paper?

problem icon

Cuboid-in-a-box

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

What is the smallest cuboid that you can put in this box so that you cannot fit another that's the same into it?

problem icon

2 Rings

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

The red ring is inside the blue ring in this picture. Can you rearrange the rings in different ways? Perhaps you can overlap them or put one outside another?

problem icon

Sticky Triangles

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Can you continue this pattern of triangles and begin to predict how many sticks are used for each new "layer"?

problem icon

Tessellating Transformations

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

Can you find out how the 6-triangle shape is transformed in these tessellations? Will the tessellations go on for ever? Why or why not?

problem icon

It Was 2010!

Stage: 1 and 2 Challenge Level: Challenge Level:1

If the answer's 2010, what could the question be?

problem icon

2010: A Year of Investigations

Stage: 1, 2 and 3

This article for teachers suggests ideas for activities built around 10 and 2010.

problem icon

More Children and Plants

Stage: 2 and 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

This challenge extends the Plants investigation so now four or more children are involved.

problem icon

More Plant Spaces

Stage: 2 and 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

This challenging activity involves finding different ways to distribute fifteen items among four sets, when the sets must include three, four, five and six items.

problem icon

The Domesday Project

Stage: 2 Challenge Level: Challenge Level:1

Take a look at these data collected by children in 1986 as part of the Domesday Project. What do they tell you? What do you think about the way they are presented?

problem icon

Polygonals

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Polygonal numbers are those that are arranged in shapes as they enlarge. Explore the polygonal numbers drawn here.

problem icon

Extending Great Squares

Stage: 2 and 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Explore one of these five pictures.

problem icon

Four Layers

Stage: 1 and 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Can you create more models that follow these rules?

problem icon

3 Sets of Cubes, 2 Surfaces

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

How many models can you find which obey these rules?

problem icon

Steps to the Podium

Stage: 2 and 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

It starts quite simple but great opportunities for number discoveries and patterns!