Fractions as Numbers on the Number Line

Module 5 Lessons:

Topic A: Partitioning a Whole into Equal Parts

• Lesson 1: Specify and partition a whole into equal parts, identifying and counting unit fractions using concrete models.

• Lesson 2: Specify and partition a whole into equal parts, identifying and counting unit fractions by folding fraction strips.

• Lesson 3: Specify and partition a whole into equal parts, identifying and counting unit fractions by drawing pictorial area models.

• Lesson 4: Represent and identify fractional parts of different wholes.

Topic B: Unit Fractions and their Relation to the Whole

• Lesson 5: Partition a whole into equal parts to identify the unit fraction numerically.

• Lesson 6: Build non-unit fractions less than one whole from unit fractions.

• Lesson 7: Identify and represent shaded and non-shaded parts of one whole as fractions.

• Lesson 8: Represent parts of one whole as fractions with number bonds.

• Lesson 9: Build and write fractions greater than one whole using unit fractions.

Topic C: Comparing Unit Fractions and Specifying the Whole

• Lesson 10: Compare unit fractions by reasoning about their size using fraction strips.

• Lesson 11: Compare unit fractions with different-sized models representing the whole.

• Lesson 12: Specify the corresponding whole when present with one equal part.

• Lesson 13: Identify a shaded fractional part in different ways depending on the designation of the whole.

Topic D: Fractions on the Number Line

• Lesson 14: Place fractions on a number line with endpoints 0 and 1.

• Lesson 15: Place any fraction on a number line with endpoints 0 and 1.

• Lesson 16: Place whole number fractions and fractions between whole numbers on the number line.

• Lesson 17: Practice placing various fractions on the number line.

• Lesson 18: Compare fractions and whole numbers on the number line by reasoning about their distance from 0.

• Lesson 19: Understand distance and position on the number line as strategies for comparing fractions.

Topic E: Equivalent Fractions

• Lesson 20: Recognize and show that equivalent fractions have the same size, though not necessarily the same shape.

• Lesson 21: Recognize and show that equivalent fractions refer to the same point on the number line.

• Lesson 22: Generate simple equivalent fractions by using visual fraction models and the number line.

• Lesson 23: Generate simple equivalent fractions by using visual fraction models and the number line.

• Lesson 24: Express whole numbers as fractions and recognize equivalence with different units.

• Lesson 25: Express whole number fractions on the number line when the unit interval is 1.

• Lesson 26: Decompose whole number fractions greater than 1 using whole number equivalence with various models.

• Lesson 27: Explain equivalence by manipulating units and reasoning about their size.

Topic F: Comparison, Order, and Size of Fractions

• Lesson 28: Compare fractions with the same numerator pictorially.

• Lesson 29: Compare fractions with the same numerator using <, >, or =, and use a model to reason about their size.

• Lesson 30: Partition various wholes precisely into equal parts using a number line method.