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Take a look at these pictures:
Estimate how many pencils you can see in each one.
What was your method?
How else could you do it?
Is there one way that is particularly useful? Why?
This activity is designed to support children as they begin to estimate by grouping in 10s.
It will encourage the idea of different possible answers and children talking about, and justifying, their methods.
Empty a tray of pens or pencils onto the floor and ask the class how they could go about working out how many there are. This is a good opportunity for talk partners and you are likely to just get counting strategies at this stage.
As the class share their ideas, get them to consider how long each approach would take.
You might need to jumble the pens up and maybe add/remove some before challenging the class to now decide how many pens there are, given only a very short amount of time. The pens could be hidden and then revealed briefly. What do the class discover? Counting strategies take too long but are very accurate.
Tell the class that you do not need an exact amount, an approximation will do. Ask children to talk to a partner about how they could do this. Then test the strategies as the pens are briefly revealed again. Collate ideas and draw out the idea that grouping into 10s is useful.
The pens can then be revealed a final time and the class can be challenged to use this grouping into 10s strategy. Collate answers and suggest that this is our range of possible solutions.
How did you come to your answer?
Did imagining grouping the items into 10s help you?
Did anyone on your table use a different approach?
How many do you think there are?
Does everyone agree?
What is the range of answers?
You could show either a tray or an image of a large number of pencils to children and challenge them to do a similar thing. How about grouping in 100s?
Tracing paper or a transparent sheet that can be placed over an image may help the children to group items in the picture into 10s.
Find a great variety of ways of asking questions which make 8.
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?
Noah saw 12 legs walk by into the Ark. How many creatures did he see?