Posted in 2-sided beans, Making totals, Visualising

Two-sided beans – Under the Cup

Under the Cup

beans under cup

How can you work out how many beans are under Digit Dog’s cup?

Explain how you know.

Convince me you’re right.

How do you think Calculating Cat used the 5-frame to help her work it out?

What if Digit Dog had 3 beans on top? How many would be underneath?

 

Play Under the Cup

Each player has a cup and 5 beans and takes turns to hide some of their beans under their cup.

Everyone closes their eyes and Player 1 puts some beans on top of their cup and some underneath. Everyone opens their eyes and Player 1 says “I have 5 beans altogether. I have ….beans on top of my cup. How many are hidden?” The other players work out how many beans are under the cup and explain how they know. Convince me that you’re right.

Encourage learners to visualise the beans under the cup. How many more do you need to make 5?

Use the 5-frames to help children begin to visualise. They need an action and an image before they can work out this problem mentally.

Step 1

Move the beans from the top of the cup and put them on the frame and say how many more are needed to make 5.

beans under cup 2

Step 2

Have the frame in front of learners but visualise the beans on it rather than actually move them. Imagine that the beans are moving. Describe what you can “see”.

Step 3

Remove the frame but visualise it. Visualise the frame and moving the beans onto it.

Screenshot 2018-03-07 13.26.18

 

Use Numicon shapes in the same way as the frames to help visualise the problem.

IMG_1584.jpg

 

IMG_1583.jpg

 

Screenshot 2018-03-07 13.36.58.png

Screenshot 2019-03-22 09.12.08

Download the challenge card here

Posted in 2-sided beans, Calculating, Games

Exploring 10 with 2-sided beans – Fill the frame

Fill the frame game

Play this game with children so that they practise:

  • counting
  • subitising small numbers
  • using mathematical language – how many more?
  • seeing 5 and 10 as benchmark numbers

Fill the frame to 10

Work with a small group. You need two-sided beans and a 10-frame for each player. Each player takes a turn to:

  • Put 5 beans in their cup.
  • Shake and spill the beans.
  • Put the red beans thrown onto the 10-frame and say “I have ……..red beans. I need ……more to make 10”.

Keep playing until someone has 10 beans.

At the beginning of each turn children will need to put more beans in their cup and check they have 5 beans.

During the game, make sure that learners describe the number of beans using full sentences.

Screenshot 2018-03-05 14.47.23

 

What do you notice about Digit Dog and Calculating Cat’s game? Who has most red beans? How many red beans will Digit Dog have when he puts his last throw on his frame?

How can he work it out? Encourage children to fill the top row first and talk about how they are partitioning the beans – I can split the 5 beans I have thrown into 2 and 3, use the 2 to make 5 on the top row and have 3 more on the bottom. 5 and 3 equals 8. This shows the importance of 5 as a benchmark number – numbers greater than 5 can be described as 5 and some more.

How many more will he need to make 10? How do you know?

Talk about the number of spaces left to fill. I have 8 red beans altogether and need 2 more to make 10. The 10-frame provides a good visual image of numbers and their relationship to 5 and 10.

Screenshot 2019-03-21 17.52.09

Download the Exploring 10 – Fill the Frame challenge card here.

 

 

 

 

Posted in 2-sided beans, Calculating, Games

New challenge card – Fill the Frame

Fill the frame game

Play this game with children so that they practise:

  • counting
  • subitising small numbers
  • using mathematical language – how many more?
  • seeing 5 as a benchmark number

Fill the frame to 5

You need two-sided beans and a 5-frame for each player.

Each player takes a turn to:

  • Put 3 beans in their cup.
  • Shake and spill the beans.
  • Put the red beans on the 5-frame and say “I have ….. red beans. I need …..more to make 5”.

Keep playing until someone has 5 red beans.

Note: at the beginning of each turn a player checks they have 3 beans in their cup.

Screenshot 2018-03-05 14.37.42

Download the Challenge Card here.Screenshot 2019-03-21 11.08.15

 

 

 

 

 

 

 

Posted in 2-sided beans, Making totals, Problem solving, Subitising

New Challenge Cards

Here are the first two of Digit Dog’s new challenge cards with ideas for exploring the two-sided beans.

Screenshot 2019-03-06 09.39.44Screenshot 2019-03-06 09.40.02

Download Shake and Spill

Download Recording

Let us know what you think.

If you want more ideas for Foundation Phase mathematics, join us on March 13th in the Future Inn, Cardiff to explore ways of developing firm foundations in mathematical concepts. Book here www.collectivelearning.co.uk

Posted in 2-sided beans, Calculating, Making totals

Reasoning about 5

Explore the number 5 using the 2-sided beans.

Making a set of two-sided beans is quick and easy.  Take a bag of dried butter beans (available in any supermarket), lay on newspaper and spray on one side with non-toxic spray paint in your chosen colour. Leave to dry and you’re ready to go.

Shake and Spill 

Using the beans to investigate ways to partition the number 5

5 beans

5 ffa

 

 

Take 5 beans and put in a cup. Shake the cup and spill the beans.

Say “I have….red beans and ……white beans. I have 5 beans altogether”.

Keep shaking and spilling and counting the number of red beans and the number of white beans.

How many different ways do the beans spill?

Ask children to think about how they can record what they have done. “How are you going to remember all the different ways?”

  • Record by using the beans themselves – put them on a large piece of paper, draw a circle around each combination.
  • Draw pictures of the beans.
  • Use digit cards and place them alongside the beans.
  • Match to Numicon shapes.
  • Match a number sentence.
  • Write a number sentence.
  • Use a part-whole diagram.

    Screenshot 2018-03-05 14.05.35
    Recording the two-sided beans

Encourage children to say how many of each colour there are without counting in ones – to subitise.

Posted in 2-sided beans, Making totals, Visualising

The two-sided beans – under the cup

Under the Cup

beans under cup

Each player has a cup and 5 beans. Take turns to hide the beans.

Everyone closes their eyes and Player 1 puts some beans on top of their cup and some underneath. Everyone opens their eyes and Player 1 says “I have ….beans on top of my cup. How many are hidden?” The other players work out how many and say how they know. Convince me that you’re right.

Encourage learners to visualise the beans under the cup. How many more do you need to make 5?

Using the 5-frames to help children to visualise.

  1. Take the beans from the top of the cup and put them on the frame and say how many more are needed to make 5.

beans under cup 2

2. Have the frame in front of learners but visualise the beans on it rather than actually move them.

3. Visualise the frame and the beans.

Screenshot 2018-03-07 13.26.18

 

Use Numicon shapes in the same way as the frames to help visualise the problem.

IMG_1584.jpg

 

IMG_1583.jpg

 

Screenshot 2018-03-07 13.36.58.png

Posted in 2-sided beans, Games

The two-sided beans – fill the frame

Fill the frame game

Play this game with children so that they practise:

  • counting
  • subitising small numbers
  • using mathematical language – how many more?
  • seeing 5 and 10 as benchmark numbers

Fill the frame to 5

You need two-sided beans and a 5-frame for each player.

Each player takes a turn to:

  • Put 3 beans in their cup.
  • Shake and spill the beans.
  • Put the red beans on the 5-frame and say “I have ….. red beans. I need …..more to make 5”.

Keep playing until someone has 5 red beans.

Note: at the beginning of each turn a player checks they have 3 beans in their cup.

Screenshot 2018-03-05 14.37.42

Fill the frame to 10

The same rules as fill the frame to 5 but each player has a 10-frame and puts 5 beans in the cup on each turn.

Screenshot 2018-03-05 14.47.23

 

How many red beans has Digit Dog now got?

How can he work it out? Encourage children to fill the top row first – I can split the 5 beans into 2 and 3, use the 2 to make 5 on the top row and have 3 more on the bottom.

How many more will he need to make 10? How do you know?

 

 

 

Posted in 2-sided beans, Making totals

The two-sided beans

Making a set of two-sided beans is quick and easy.  Take a bag of dried butter beans (available in any supermarket), lay on newspaper and spray on one side with non-toxic spray paint in your chosen colour. Leave to dry and you’re ready to go.

Shake and Spill 

Using the beans to investigate ways to partition the number 5

5 beans

5 ffa

 

 

Take 5 beans and put in a cup. Shake the cup and spill the beans.

Say “I have….red beans and ……white beans. I have 5 beans altogether”.

Keep rolling and counting the number of red beans and the number of white beans.

How many different ways do the beans spill?

Ask children to think about how they can record what they have done. “How are you going to remember all the different ways?”

  • Record by using the beans themselves – put them on a large piece of paper, draw a circle around each combination.
  • Draw pictures of the beans.
  • Use digit cards and place them alongside the beans.
  • Match to Numicon shapes.
  • Match a number sentence.
  • Write a number sentence.
  • Use a part-whole diagram.

    Screenshot 2018-03-05 14.05.35
    Recording the two-sided beans

Encourage children to say how many of each colour there are without counting in ones – to subitise.