Comparing, ordering, sequencing and estimating
This resource was developed in partnership with the NSW Mathematics Strategy Professional Learning team, Curriculum Early Years and Primary Learners, and Literacy and Numeracy.
Using the resource
This resource is the fifth section of a 6-part resource supporting number knowledge. Use this resource in conjunction with the other resources in this series in order to support a connected network of critical mathematical concepts, skills and understanding.
Supporting tasks
Full instructions on how to use each of these tasks, including materials, related tasks and learning intentions are included in the resource, are available via the Universal Resources Hub.
Comparing
From early on, children visually compare quantities to determine which has more or less items, for example, protesting an unfair share at snack time - “they have more than me!”.
This visual comparison works well when the quantities being compared are either very small so we can subitise them or when they are distinctly very different amounts.
In Task 1, when students turn over a domino that is beyond their subitising range or not distinctly different in quantity, then students may use their knowledge of the order of numbers to determine which has less or more.
Task 1: Domino flip
Teams flip over dominoes and compare the quantities
Variation 1: Record the difference, the student with the largest (or smallest) difference at the end of 5 (or another chosen number) of rounds is the winner.
Variation 2: Vary the domino number range
Estimating
Providing multiple, meaningful experiences in estimating will help students develop increasingly reasonable estimating skills.
Estimates should not judged as ‘right’ or ‘wrong’. Support students to talk about estimates as being reasonable or something to revise now after considering other evidence.
When estimating measures, help students identify various attributes used to measure, using both language and gesture.
Task 2: About how many paper clips?
Students watch ‘About how many paper clips? then practice and discuss estimation techniques.
Task 3: About how many rectangles?
Students watch ‘About how many rectangles?’ then practice and discuss estimation techniques.
Number word sequences
Understanding forward and backward number word sequences continues to be important beyond the early years of schooling. Due to the complexity of English, pay special attention to support students to recognise where the patterns in the counting words ‘re-start’ as they cross the decades and the centuries. Counting in tens and renaming alongside reciting the number words can support student understanding.
Task 4: Bean counters
Students learn to estimate large quantities in a container (using dry beans or similar)
Variation 1: Use the collection to practise counting forwards and backwards by 10, on and off the decade.
Variation 2: Once the beans have been organised, ‘race’ the students to work out the total with the students counting in the most efficient way and the teacher counting by ones. Use this to discuss why we count in multiples
Variation 3: Have students represent the amount of beans in other efficient ways such as making an array or grouping 10 tens into 1 hundred.