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Addition and Subtraction Within 100

Build strong operations and algebraic thinking by learning to add and subtract within 100 using place-value and mental strategies.

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Beginner 15–20 minutes Operations & Algebraic Thinking
Operations & Algebraic Thinking Page 8 of 17
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At a Glance

Addition and Subtraction Within 100
Binder SectionOperations & Algebraic Thinking
DifficultyBeginner
Estimated Time15–20 minutes
PrerequisitesNone
Essential Question

How can a picture, equation, or pattern help us add and subtract within 100 using place-value and mental strategies?

Visual Model
4Thousands 3Hundreds 2Tens 7Ones

4,327 = 4,000 + 300 + 20 + 7

Goals

Learning Targets

  • I can explain what the numbers and symbols mean.
  • I can choose a picture, object model, equation, or pattern that fits the problem.
  • I can solve and check my answer.
Click each word

Interactive Vocabulary

Reveal one step at a time

Worked Examples

Example 1

Add 38 + 24 by place value

1

Break 38 into 30 + 8 and 24 into 20 + 4.

Notice and correct

Common Misconceptions

Choosing an operation from one keyword

Read the whole situation and decide what happens to the amount.

Writing an answer without a model or equation

Show a picture, objects, or a number sentence that matches.

Stopping without checking

Use the inverse operation, recount, or substitute the answer to check.

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Warm-Up Guided Independent Challenge
1
Quick Start

Warm-Up

Warm-up 1

Directions: Use a quick picture or equation. Explain what the numbers mean.

Add 46 + 30.

Picture the groups joiningUse the picture to organize what you know before you solve.
+show what joins or leaves, then find the new amount

Choose how you want to work or answer.

2
We Do

Guided Practice

Guided 1

Directions: Follow the steps. Build or draw the situation, write an equation, and solve.

Solve 72 − 28 by breaking apart tens and ones.

Picture the groups joiningUse the picture as you work through each step.
+show what joins or leaves, then find the new amount

Choose how you want to work or answer.

3
You Do

Independent Practice

Independent 1

Directions: Choose a model, show your work, and enter your final answer.

A class collected 37 cans on Monday and 45 on Tuesday. How many cans in all?

Picture the groups joiningUse the picture to organize what you know before you solve.
+show what joins or leaves, then find the new amount

Choose how you want to work or answer.

4
Stretch Your Thinking

Challenge & Real-World Practice

🧩 Challenge

Find two ways to solve 63 − 29. Compare the strategies.

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Success Criteria

Before you begin, I can…

  • I can choose an operation or rule that matches the problem.
  • I can use correct mathematical vocabulary to explain my model.
  • I can check whether my answer is reasonable.
1
Question 1

Which action helps you understand a problem first?

2
Question 2

What does an equal sign mean?

3
Question 3

Which is a good way to check an answer?

4
Question 4

Why should a model match the question?

5
Question 5

What should a final answer include in a story problem?

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Next Lesson: Equal Groups and Arrays → Back to Binder Topics

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