## 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

• 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:

1. Spinner 1 fixed on 5 + Spinner 2
2. Spinner 1 fixed on 15 + Spinner 3
3. Spinner 1 + Spinner 2

For example, 15 + 18

## Differentiation

### A little easier

##### Five plus bond revision

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.

##### Represent five plus bonds with 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.

##### Part-Part-Whole diagrams

Click to download the Five Plus Bonds Part-Part-Whole Diagrams

These part-part-whole diagrams  can be stuck to the top of student’s desk, as a desk visual, until students are fluent recalling these facts. Students with memory or processing difficulties can benefit from having visuals as permanent prompts.

Click this link to read Teacher Notes for more ideas about “Using Part-Part-Whole Desk Visuals” to support students.

##### 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

##### Partitioning addition strategy five plus bonds

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 34This game board is used for 3 different games, which increase in the difficulty. Play in this order:

1. Spinner 1 fixed on 5 + two-digit number
2. Spinner 1 fixed on 15 + two-digit number
3. 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