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Fractions as Numbers

Use equal-part models and number lines to understand a fraction as equal parts of one whole and as a point on a number line.

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Beginner 15–20 minutes Number & Operations—Fractions
Number & Operations—Fractions Page 1 of 10
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At a Glance

Fractions as Numbers
Binder SectionNumber & Operations—Fractions
DifficultyBeginner
Estimated Time15–20 minutes
PrerequisitesNone
Essential Question

How can equal parts and visual models help us understand a fraction as equal parts of one whole and as a point on a number line?

Visual Model
4Thousands 3Hundreds 2Tens 7Ones

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

Goals

Learning Targets

  • I can identify the whole and its equal parts.
  • I can choose a fraction model or number line that matches the problem.
  • I can calculate, explain, and check my answer.
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Interactive Vocabulary

Reveal one step at a time

Worked Examples

Example 1

Show 3/4 on a number line

1

Divide the distance from 0 to 1 into 4 equal parts because the denominator is 4.

Notice and correct

Common Misconceptions

Treating the denominator as a count instead of the size of the parts

Name the whole and divide it into equal parts first.

Using models with different-sized wholes

Compare fractions only when the wholes are the same size.

Adding denominators when adding like units

Keep the common unit and combine only the number of those units.

Skipping a reasonableness check

Compare the result with 0, 1/2, 1, or the original amount.

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Warm-Up Guided Independent Challenge
1
Quick Start

Warm-Up

Warm-up 1

Directions: Use a quick fraction model. Label the whole, equal parts, numerator, and denominator.

A rectangle is split into 6 equal parts. Two parts are shaded. What fraction is shaded?

Picture the parts and the wholeUse the picture to organize what you know before you solve.
equal partscompare the shaded part with the whole

Choose how you want to work or answer.

2
We Do

Guided Practice

Guided 1

Directions: Follow the steps. Draw a fraction bar or number line, label each value, write an equation, and solve.

Mark 3/5 on a number line from 0 to 1. How many equal jumps reach 3/5?

Plan your solutionRecord what you know, choose a model or rule, and solve without revealing the final answer.
What do Iknow?Which rulefits?What must Ifind?

Choose how you want to work or answer.

3
You Do

Independent Practice

Independent 1

Directions: Choose a fraction model, show each step, simplify when needed, and enter your final answer.

A whole is divided into 8 equal parts. Write the unit fraction for one part.

Picture the equal sharesUse the picture to organize what you know before you solve.
share the same amount with each group

Choose how you want to work or answer.

4
Stretch Your Thinking

Challenge & Real-World Practice

🧩 Challenge

Draw two different shapes that each show 3/4. Explain why both models represent the same fraction.

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Success Criteria

Before you begin, I can…

  • I can explain what the numerator and denominator mean in this problem.
  • I can use an accurate model and equation.
  • I can check my result with a benchmark or related operation.
1
Question 1

What must be true about the parts in a fraction model?

2
Question 2

What does the denominator tell?

3
Question 3

Why use a common denominator when adding unlike fractions?

4
Question 4

Which is a useful reasonableness check?

5
Question 5

Why should the visual match the question?

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Next Lesson: Equivalent Fractions → Back to Binder Topics

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