NBC Home    Natural Maths

Up

Mental Routines with Bottle Tops

Level 1

Write the numerals 1-9 on the top side of the bottle top and draw the matching dots on the underside.

Closed Questions
The bottle top in my hand has nine dots on it (children have the numeral side face up for this type of question). Which number is showing in my hand?
I have a number six showing on one bottle top and I can see one dot on the other bottle top in my hand. If I turn them both spot side up how many spots will there be altogether?
My two bottle tops have ten dots altogether. They show a double because they both have the same number showing. What numbers are showing?

Open Questions
The bottle top I am thinking of has less than five dots on it. What might it be?
I have two bottle tops showing a doubles fact. One bottle top is showing the number and the other the dots. What might my bottle tops be showing?
I can see 12 dots on my two bottle tops. What might my two bottle tops be?
I have three bottle tops in my hand. They each show a different number and if I turn them over I can see 10 dots altogether. What might my three bottle tops be?

Flip Questions
I have two bottle tops in my hand. You can ask me questions to find out what they are. Allow questions such as "is one of them a 6?" and leave time for the students to sort out and eliminate before moving on. When the students get good at this form of the game, up the ante by encouraging questions such as "Can you see more than 10 dots on your bottle tops?" In this way the questioning will begin to use the meta-language such as double, count on 1, 2  or 3 and eventually near doubles, rainbow facts and so on. In fact this flip can lead into Level 2 very easily.

Level 2

Mark the bottle tops so that there are lots with 1s, 2s, 5s, 10s, 20s, 50s and even a few with 100s on them. Make sure that the students have a few to choose from. If you have sufficient of seven colours designate a colour to each value.

Closed Questions
I have two bottle tops in my hand. The total of the two numbers showing is 51. What are my two bottle tops?
I have three bottle tops. There total value is 35. What bottle tops do I have.
I have four bottle tops each with the same value. Their total is 40. What bottle tops do I have.
My two bottle tops have a total of 110. What are my two bottle tops?

Open Questions
I have two bottle tops. Their value is greater than fifty but less than 80. What two bottle tops might I have?
I have a total of 30 showing on my bottle tops. I have more than three bottle tops. What might they be?
I have four bottle tops that show a total of more than 100. What might they be?
I don't have any tens so how could I show the total 33 with bottle tops?

Flip Questions
I have three bottle tops in my hand. You can ask me questions to find out what they are. I will not answer questions such as

"Do you have a 1 in your hand?"

You need to think about totals so try questions such as:

"Do your bottle tops have a value greater than fifty?"
"Do you have any doubles of a number?"

As the students get good at this, increase the number of bottle tops or even refuse to tell them how many bottle tops you are using so that the level of complexity increases.