Solve Addition Problems Using Bar Model - Math Worksheets ... - Free Printable

Absolutely! Let’s solve both addition problems step by step, using the clues and filling in the models as instructed.

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## 🐸 Problem 1: Frogs Hopping

> There are 14 frogs hopping. 5 more frogs joined in. How many frogs are there in all?

Step 1: Identify the Clues

- Start with 14 frogs.
- 5 more join them.
- We need to find the total number of frogs → This is an addition problem.

Step 2: Use the Model (Bar Model)

The bar model has two parts:
- One part represents the initial amount: 14 frogs.
- The other part represents the added amount: 5 frogs.
- Together, they make the whole (total).

So we draw or imagine:
```
[------------------][-----]
14 5
```

Total = 14 + 5

Step 3: Write the Equation

In the boxes:

Top row (with rectangles):
`14` + `5` = `19`

Bottom row (with squares — probably for single digits or simplified form):
Since 14 is two digits, we might break it down if needed, but since the top row already handles it, the bottom row likely mirrors the same numbers:
`14` + `5` = `19`

*(Note: Sometimes the bottom row is for decomposing, like 10 + 4 + 5 = 19, but since the problem doesn’t specify, and the top row uses full numbers, we’ll match it.)*

✔ Answer: 19 frogs

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## 🐘🦊 Problem 2: Animals in the Jungle

> Scott saw 9 elephants and 8 foxes in the jungle. How many animals did he see in the jungle?

Step 1: Identify the Clues

- 9 elephants
- 8 foxes
- Total animals = elephants + foxes → Again, addition

Step 2: Use the Bar Model

One part = 9 (elephants)
Other part = 8 (foxes)
Whole = total animals

```
[-----------][--------]
9 8
```

Total = 9 + 8

Step 3: Write the Equation

Top row:
`9` + `8` = `17`

Bottom row:
Again, matching the top row unless decomposition is required:
`9` + `8` = `17`

*(Optional decomposition: 9 + 8 = 9 + (1 + 7) = 10 + 7 = 17 — but not necessary here.)*

✔ Answer: 17 animals

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## ✔ Final Answers Filled In:

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Problem 1: Frogs

Bar Model:
Top bar split into two parts: left part labeled “14”, right part labeled “5”

Equation Row 1 (rectangles):
`14` + `5` = `19`

Equation Row 2 (squares):
`14` + `5` = `19`

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Problem 2: Animals

Bar Model:
Top bar split into two parts: left part labeled “9”, right part labeled “8”

Equation Row 1 (rectangles):
`9` + `8` = `17`

Equation Row 2 (squares):
`9` + `8` = `17`

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## 🧠 Key Learning:
These problems teach part-part-whole thinking using bar models, which help visualize addition. You’re combining two groups to find a total — a foundational skill in early math!

Let me know if you’d like to see how to decompose the numbers (like 14 = 10 + 4) for deeper understanding!