## EngageNY Module 5

__Fractions as Numbers on the Number Line__

Students extend and deepen second grade practice with "equal shares" to understanding fractions as equal partitions of a whole. Their knowledge becomes more formal as they work with area models and the number line.

__Fractions as Numbers on the Number Line__

## Topic A: Partition a Whole into Equal Parts

__ Math News Parent Resource - Courtesy of Lafayette Schools__

__ Math News Parent Resource - Courtesy of Lafayette Schools__

**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: Explore: Represent and Identify fractional parts of different wholes

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: Explore: Represent and Identify fractional parts of different wholes

## Topic B: Identify Unit Fractions and Clarify Their Relation to the Whole

__ Math News Parent Resource - Courtesy of Lafayette Schools__

__Math News Parent Resource - Courtesy of Lafayette Schools__

**Lesson 5: Partition a whole into equal parts and define the equal parts to identify the unit fraction numerically**

Lesson 6: Build non-unit fractions less than one 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

Lesson 6: Build non-unit fractions less than one 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: Compare Unit Fractions and Specify the Whole by Reasoning About Size

__ Math News Parent Resource - Courtesy of Lafayette Schools__

__Math News Parent Resource - Courtesy of Lafayette Schools__

**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 presented with one equal part, e.g., "This is 1/3, draw a picture of the whole."

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

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

Lesson 12: Specify the corresponding whole when presented with one equal part, e.g., "This is 1/3, draw a picture of the whole."

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

## Topic D: Represent and Compare Fractions on Number Line Diagrams

__ Math News Parent Resource - Courtesy of Lafayette Schools__

__Math News Parent Resource - Courtesy of Lafayette Schools__

Lesson 14: Place unit 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 unit 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

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

Lesson 16: Place whole number fractions and unit 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

__ Math News Parent Resource - Courtesy of Lafayette Schools__

__Math News Parent Resource - Courtesy of Lafayette Schools__

Lesson 20: Recognize and show that equivalent fractions have the same size, through 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: Day 2 of Lesson 22

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

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: Day 2 of Lesson 22

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: Compare and Order Fractions and Reason About Their Size

__ Math News Parent Resource - Courtesy of Lafayette Schools__

__Math News Parent Resource - Courtesy of Lafayette Schools__

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

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