Learn on PengienVision, Mathematics, Grade 4Chapter 8: Extend Understanding of Fraction Equivalence and Ordering

Lesson 2: Equivalent Fractions: Number Lines

In this Grade 4 lesson from enVision Mathematics, students learn how to identify and name equivalent fractions by locating the same point on number lines divided into different equal parts, such as showing that 3/4, 6/8, and 9/12 all represent the same distance. Students use number lines as a tool to understand why fractions with different numerators and denominators can be equal, including fractions greater than or equal to 1. The lesson is part of Chapter 8, which extends students' understanding of fraction equivalence and ordering.

Section 1

Identifying Equivalent Fractions on a Number Line

Property

If two fractions ab\frac{a}{b} and cd\frac{c}{d} represent the same point on a number line, then they are equivalent: ab=cd\frac{a}{b} = \frac{c}{d}.

Examples

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Chapter 8: Extend Understanding of Fraction Equivalence and Ordering

  1. Lesson 1

    Lesson 1: Equivalent Fractions: Area Models

  2. Lesson 2Current

    Lesson 2: Equivalent Fractions: Number Lines

  3. Lesson 3

    Lesson 3: Generate Equivalent Fractions: Multiplication

  4. Lesson 4

    Lesson 4: Generate Equivalent Fractions: Division

  5. Lesson 5

    Lesson 5: Use Benchmarks to Compare Fractions

  6. Lesson 6

    Lesson 6: Compare Fractions

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Identifying Equivalent Fractions on a Number Line

Property

If two fractions ab\frac{a}{b} and cd\frac{c}{d} represent the same point on a number line, then they are equivalent: ab=cd\frac{a}{b} = \frac{c}{d}.

Examples

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 8: Extend Understanding of Fraction Equivalence and Ordering

  1. Lesson 1

    Lesson 1: Equivalent Fractions: Area Models

  2. Lesson 2Current

    Lesson 2: Equivalent Fractions: Number Lines

  3. Lesson 3

    Lesson 3: Generate Equivalent Fractions: Multiplication

  4. Lesson 4

    Lesson 4: Generate Equivalent Fractions: Division

  5. Lesson 5

    Lesson 5: Use Benchmarks to Compare Fractions

  6. Lesson 6

    Lesson 6: Compare Fractions