55) Partitioning Addition
Ten Plus Bonds: Strategy Five Plus Bonds
Mathematics
Develop the strategy of partitioning two parts, using five plus bonds, to solve addition with wholes up to 20.
For example, 5 + 8
For example, 15 + 7
Prior knowledge of the five plus bonds, commutative property of addition, part-part-whole and place value partitioning is needed.
Language
- add
- equals
- five plus bond
- partitioning
- sum: the total resulting from addition
Core Activity Progression
This game board is used for 3 different games, which increase in the difficulty. Play in this order:
- Spinner 1 fixed on 5 + Spinner 2
- Spinner 1 fixed on 15 + Spinner 3
- Spinner 1 + Spinner 2
For example, 15 + 18
Differentiation
A little easier
Prerequisite Skill Practice
Five plus bond review
Play Five Plus Bonds: Addition Building A Wall to develop fluency verbalising the wholes of 6,7,8,9 as five plus bond addition equations.
Working Memory Support: Subitised Fingers
Instruct students who experience difficulty to make the amount using their fingers in a subitised way. One hand must be the part of 5.
Working Memory Support: desk visual
Click to download the Five Plus Bonds Part-Part-Whole Diagram desk visual.
Scaffold: counting order
Start with “Ten Plus Bonds: Partitioning Addition Strategy Five Plus Bonds”. Point the arrow on the Spinner 1 to five. Keep it fixed there. Move the second spinner around clockwise, from the 12 o’clock position, to calculate each equation in counting order. Then play the game with spinner 1 fixed on five.
Repeat with Spinner 1 fixed on 15, calculating the equations in counting order. Then play the game with spinner 1 fixed on 15.
A little harder
Play Ten Plus Bonds: Partitioning Addition Strategy Five Plus Bonds a little harder to develop the strategy of partitioning two parts, using five plus bonds, to solve addition with wholes up to 34. This game board is used for 3 different games, which increase in the difficulty. Play in this order:
- Spinner 1 fixed on 5 + two-digit number
- Spinner 1 fixed on 15 + two-digit number
- Spinner 1 + Spinner 2
For example, 15 + 18
Reduce Scaffolds
The blocks are a scaffold to support calculation. If students can calculate without some or all of the blocks encourage this. Below is a progression of reducing scaffolding, from most to least support, using partitioning with five plus bonds for 15+7.
Progression
In the next activity students apply the strategy of partitioning, using five plus bonds, to subtraction. Go to
Activity 56
Ten Plus Bonds: Partitioning Subtraction, Strategy Five Plus Bonds