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.
Topic A: Partition a Whole into Equal Parts
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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
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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
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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
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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
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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
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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