CountingWHOLE NUMBERS

Now and Next

Where are they now?

Counts to 10 with support using number naming sequence

Where to next?

Counts collections to at least 10 starting from 1

Purpose

Purpose: Counting is a complex activity which involves three main understandings; that numbers are named in a fixed sequence, that one number is counted per object and that the last number counted names the count. This sequence moves students from simply memorising a sequence of numbers, through understanding that counting is about 'how many', visualising and using numbers mentally and building place value understanding to count more efficiently as well as understand the composition of very large numbers.

Resources

Activities where students are encouraged to match and compare written numerals with physical models of numbers, helps students to develop a strong conception of number as a quantity, and helps them learn to 'trust the count'.

 

Linked activitiesLinked Activities

  • download Egg Carton counting
  • download Beehives - 1:1 Correspondence (video activity)
  • download Beehives - Counting with manipulatives (video activity)

AssessmentAssessment

  • download Counting Collections

other resources References to Other Resources

 

 

Activities and Assessments

 

download Egg Carton counting

Egg Carton counting

Focus: 'Trusting the count' is a key understanding for students first learning about number. Essentially it is the understanding that once a collection is counted, the count will not change unless items are added or removed. The count will not change if the items are rearranged for example. As well as giving students practice in ordering the count and counting small collections, the activity also reinforces 1:1 correspondence (one item per egg cup) and trusting the count' (recounting the items once they have been tipped out of the carton fragment).

How: Egg cartons are cut up so that there are a selection of pieces, each with a different number of egg cups joined together. Sizes could range, for example from 12 cups (the whole carton with just the lid removed) to 2 cups. Working with a group of students, the teacher takes a piece of egg carton and drops counters, one into each cup while counting with the group. When each cup has a counter in it, the teacher asks a student how many counters there are altogether. The teacher then empties the counters onto a table or floor and the group all counts the counters again to check.


download Beehives - 1:1 Correspondence (Video Example)

Beehives - 1:1 Correspondence 

Adapted from 'Beehive', Developing Efficient Numeracy Strategies Stage 1 page 34. NSW Department of Education and Training, Professional Support and Curriculum Directorate 2003

Focus: Practicing the order of numbers in a count, while reinforcing the idea of one count per item.

How: See Beehives - 1:1 Correspondence sheet

Download Beehives boards
Download Bees template

Video example

video English

video Djambarrpuyŋu

video Kriol


download Beehives - Matching with manipulatives (Video Example)

Beehives - Matching with manipulatives (Video Example) 

Adapted from 'Beehive', Developing Efficient Numeracy Strategies Stage 1 page 34. NSW Department of Education and Training, Professional Support and Curriculum Directorate 2003

Focus: Students determine the number of a collection, which includes knowing the counting number sequence to ten as well as the understanding that the last number named tells 'how many' items there are altogether.

How: See Beehives - Counting with manipulatives sheet as well as Video Example below

Download Beehives boards
Download Bees template

Video example

video English

video Djambarrpuyŋu

video Kriol

download Assessment Points - Counting collections

Assessment Points - Counting collections

Place a collection of counters (10 or fewer) in front of a student. Ask them to determine 'how many counters' as quickly as possible. Note the method they use (eg do they count ones, twos or even make a subcollection of 5?). If they find the task easy, try with a greater number of counters.

 

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