Building relationships – part-part-whole
A resource to support number knowledge development, providing opportunities to compose and decompose quantities to build flexible additive strategies and apply these to additive situations.
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 second section of a 6-part resource supporting number knowledge. Use this resource in conjunction with the other resources in this series to support a connected network of critical mathematical concepts, skills and understanding.
Supporting tasks
Refer to the resource (available for download via the Universal Resources Hub) for full instructions on how to use each of these tasks and includes materials, related tasks and learning intentions..
Part-part-whole
Part-part-whole discussion should explain the 2 critical relationships: the parts a quantity can be decomposed into, or composed of; and all numbers can be related to other wholes.
Task 1: Introducing rekenreks
Student watch ‘Introducing rekenreks’ and reflect and discuss a number problem.
Task 2: 6 is...
Students watch ‘6is…’ and consider all the different ways to make 6.
Composing and decomposing numbers
Providing students with opportunities and experiences in composing and decomposing numbers can assist in the development of flexible additive strategies. When students know the parts of numbers and see how they relate to other numbers, they can use this understanding to additive problems, using derived facts, bridging to ten and so on.
For example, a student can use what they know about double 3 to determine that 3 and 4 is double 3 and then 1 more (as 4 is one more than 3), totalling 7.
Task 3: Building towers
Students watch the 'building towers' video to learn how to play.
Variation 1: Build the towers and play in reverse. Taking away blocks each time until there are no blocks left.
Variation 2: Change the number of towers you build.
Variation 3: Change the number of blocks needed for each tower.
Task 4: Dotty 6
Students watch ‘Dotty 6’ to learn how to play
Variation 1: show students a video without audio of the game being played. Can they work out the rules?
Variation 2: Change the total. So instead of Dotty 6, make it Dotty 12 or Dotty 21, for example
Variation 3: Change the number cards you use. So instead of numbers 1 - 6, you could make cards from 1 - 10, or only use odd numbers, for example
Variation 4: Change the grid from 3 x 3 to 4 x 4
Place value
Most students instantly recognise the fingers of 2 hands as a powerful representation of ten. Visit Hands Up: engaging students as a resource for teachingExternal link for more information.
Task 5: Number busting
Students watch ‘Number Busting’ to learn techniques
Task 6: Rekenrek Duel 1 and 2
Students watch ‘Rekenrek Duel’ to learn how to play
Task 7: Power Dot Pro
Students watch ‘Power Dot Pro’ to learn how to play
Variation 1: Adjust the number range by taking cards out.
Variation 2: Use single dominoes instead of tiny polka dot cards.
Source: Math for Love
Related supporting number knowledge resources
Contact
For more information, contact literacy.numeracy@det.nsw.edu.au