Unit Overview
Unit Overview
In this mission we will learn:
How to manipulate fractions.
compare fractions, evaluate equivalence, and learn that the same methods they used for whole number operations can be used to add, subtract, and multiply fractions.
Learning Objectives
Topic A: Decomposition and Fraction Equivalence
Lesson 1: Decompose fractions as a sum of unit fractions using tape diagrams.
Lesson 2: Decompose fractions as a sum of unit fractions using tape diagrams.
Lesson 3: Decompose non-unit fractions and represent them as a whole number times a unit fraction using tape diagrams.
Lesson 4: Decompose fractions into sums of smaller unit fractions using tape diagrams.
Lesson 5: Decompose unit fractions using area models to show equivalence.
Lesson 6: fractions using area models to show equivalence.
Topic B: Fraction Equivalence Using Multiplication and Division
Lesson 7: Use the area model and multiplication to show the equivalence of two fractions.
Lesson 8: Use the area model and multiplication to show the equivalence of two fractions.
Lesson 9: Use the area model and division to show the equivalence of two fractions.
Lesson 10: Use the area model and division to show the equivalence of two fractions.
Lesson 11: Explain fraction equivalence using a tape diagram and the number line, and relate that to the use of multiplication and division.
Topic C: Fraction Comparison
Lesson 12: Reason using benchmarks to compare two fractions on the number line.
Lesson 13: Reason using benchmarks to compare two fractions on the number line.
Lesson 14: Find common units or number of units to compare two fractions.
Lesson 15: Find common units or number of units to compare two fractions.
Topic D: Fraction Addition and Subtraction
Lesson 16: Use visual models to add and subtract two fractions with the same units.
Lesson 17: Use visual models to add and subtract two fractions with the same units, including subtracting from one whole.
Lesson 18: Add and subtract more than two fractions.
Lesson 19: Solve word problems involving addition and subtraction of fractions.
Lesson 20: Use visual models to add two fractions with related units using the denominators 2, 3, 4, 5, 6, 8, 10, and 12.
Lesson 21: Use visual models to add two fractions with related units using the denominators 2, 3, 4, 5, 6, 8, 10, and 12.
Topic E: Extending Fraction Equivalence to Fractions Greater than 1
Lesson 22: Add a fraction less than 1 to, or subtract a fraction less than 1 from, a whole number using decomposition and visual models.
Lesson 23: Add and multiply unit fractions to build fractions greater than 1 using visual models.
Lesson 24: Decompose and compose fractions greater than 1 to express them in various forms.
Lesson 25: Decompose and compose fractions greater than 1 to express them in various forms.
Lesson 26: Compare fractions greater than 1 by reasoning using benchmark fractions.
Lesson 27: Compare fractions greater than 1 by creating common numerators or denominators.
Lesson 28: Solve word problems with line plots.
Topic F: Addition and Subtraction of Fractions by Decomposition
Lesson 29: Estimate sums and differences using benchmark numbers.
Lesson 30: Add a mixed number and a fraction.
Lesson 31: Add mixed numbers.
Lesson 32: Subtract a fraction from a mixed number.
Lesson 33: Subtract a mixed number from a mixed number.
Lesson 34: No IDL.
Topic G: Repeated Addition of Fractions as Multiplication
Lesson 35: Represent the multiplication of n times a/b as (n × a)/b using the associative property and visual models.
Lesson 36: Represent the multiplication of n times a/b as (n × a)/b using the associative property and visual models.
Lesson 37: Find the product of a whole number and a mixed number using the distributive property.
Lesson 38: No IDL.
Lesson 39: Solve multiplicative comparison word problems involving fractions.
Lesson 40: Solve word problems involving the multiplication of a whole number and a fraction including those involving line plots.
Topic G: Repeated Addition of Fractions as Multiplication
Lesson 41: No IDL.
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