Problem Description:
The task involves writing addition equations based on visual models provided in the image. The models use different objects (apples, butterflies, fish, and stars) to represent numbers. The goal is to demonstrate the
Commutative Property of Addition, which states that the order of adding numbers does not affect the sum. Mathematically, this is expressed as:
\[
a + b = b + a
\]
Solution:
#### 1. Analyze Each Model:
We will analyze each model step by step and write the corresponding addition equation.
---
####
Model 1: Apples
- The left side shows
3 apples and
4 apples.
- The right side shows
4 apples and
3 apples.
- The total number of apples is the same on both sides.
The equation is:
\[
3 + 4 = 4 + 3
\]
---
####
Model 2: Butterflies
- The left side shows
5 butterflies and
2 butterflies.
- The right side shows
2 butterflies and
5 butterflies.
- The total number of butterflies is the same on both sides.
The equation is:
\[
5 + 2 = 2 + 5
\]
---
####
Model 3: Fish
- The left side shows
6 fish and
3 fish.
- The right side shows
3 fish and
6 fish.
- The total number of fish is the same on both sides.
The equation is:
\[
6 + 3 = 3 + 6
\]
---
####
Model 4: Stars
- The left side shows
4 stars and
5 stars.
- The right side shows
5 stars and
4 stars.
- The total number of stars is the same on both sides.
The equation is:
\[
4 + 5 = 5 + 4
\]
---
Final Answer:
The addition equations for each model are:
1. \( 3 + 4 = 4 + 3 \)
2. \( 5 + 2 = 2 + 5 \)
3. \( 6 + 3 = 3 + 6 \)
4. \( 4 + 5 = 5 + 4 \)
\[
\boxed{3 + 4 = 4 + 3, \, 5 + 2 = 2 + 5, \, 6 + 3 = 3 + 6, \, 4 + 5 = 5 + 4}
\]
Parent Tip: Review the logic above to help your child master the concept of commutative property of multiplication worksheets.
