# 3 Addition Concepts

Addition concepts are built on number recognition and counting principles. Learners need to develop the understanding that numbers are composed of smaller numbers. Learners should understand that number parts are combined to create a whole new number. This is the principle of *part-part-whole**.*

**EXPLORING ADDITION**

- Have learners begin with a number and use the counting on skill to count another number.
- Ask learners for the result.
- Have learners reset the
*Nudget*and begin with a different number. - Ask learners to count on and find a new number.
- Guide learners in writing down each pair of numbers (parts) and the result (whole).

Start with the number 5.

Count 3 more checkers.

Learners write: **5 ****+**** 3** **=**** 8**

Provide learners the opportunity to explore combining numbers to compose new ones until the concept is learned. Having learners write down each number assists with visual learning and with connecting to abstract notation.

**BASIC ****ADDITION FACTS**

- Ask learners to demonstrate how many ways they can use to count 2.

Start from 0.

Count 1 checker.

Count 1 more checker to reach the number 2.

Write: **1 ****+**** 1** **=**** 2**

Start from 0.

Skip count 2 checkers.

Write: **0 ****+**** 2** **=**** 2**

- Explain to learners that 2 can be counted the following ways: 1 and 1 more, 0 and 2 more or 2 and 0 more.
- Introduce learners to the concept of fact families
- Guide learners in writing the fact family.
- Have learners find all the ways to compose other numbers like 3, 4, 5, etc.
- Facilitate learners in writing the numbers in each fact family they explore.

The fact family of the number 2:

Provide learners opportunity to master fact families through 10. It is important that fluency of basic facts is developed along with the concept of composing numbers. Facilitate learners in connecting the *part-part-whole* principle with composing and decomposing numbers.