Counting by 1

Counting Up

Counting Down

How to use:

  • Count while watching. What do you notice? What do you wonder?
  • Eventually, students will notice that the pattern in the ones place is 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3… and the pattern in the tens place is similar: 1 ten, 1 ten, 1 ten….2 tens, 2 tens, 2 tens… etc.  They will be able to describe why a number is written the way it is and what it represents: 27 is 2 groups of ten (seen as the blue bars) and 7 ones (seen as red dots). 2 tens is 20, and 7 ones is 7, so 20+7=27. They will make a connection to addition/subtraction: counting up is like adding 1 each time, counting down is like subtracting 1 each time.

 

Counting Up with Hidden Numbers

Counting Down with Hidden Numbers

How to use:

  • Count while watching. What do you notice? What do you wonder? Pause and ask: What number comes next and how do you know?
  • Eventually, students will notice that they can predict the next number by using the pattern: in the ones place it is 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3… and the pattern in the tens place is similar: 1 ten, 1 ten, 1 ten….2 tens, 2 tens, 2 tens… etc.  They will be able to describe why a number is written the way it is and what it represents: 27 is 2 groups of ten (seen as the blue bars) and 7 ones (seen as red dots). 2 tens is 20, and 7 ones is 7, so 20+7=27.

 

Counting with Teen Numbers

 

Counting Up (Companion Visual to Playing Cards)

This visual is intended to be used with the 2 digit playing cards (see below).

2 Digit Playing Cards

Download here: Printouts

 

Counting Up with Cuisenaire Rods

How to use:

  • Learn more about the power of Cuisenaire Rods:  Video   Book   Simon Gregg   Buy Rods
  • Watch and ask: What do you notice? What do you wonder?
  • Eventually, students will notice that the color of the rod represents a quantity. They will notice that the orange rod represents 10, and we can see the groups of ten in each number. They will see the pattern of the ones repeating over and over and the groups of ten increasing. That will lead to the idea that the written digits represent place value: orange for the tens place, and the other colors for the ones place.

 

Thank you to all of the collaborators on Twitter and email who shared ideas and feedback for these visuals.

These visuals were inspired in part by: Rekenreks, place value cards, my students, and the people who have provided feedback on Twitter or over email.

A similar manipulative/visual is available by Rémi Brissiaud: J’apprends les maths avec Picbille CP, 2016 (first edition 1992) Paris: Retz

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