4th Grade Math
Unit 4: Operations with Fractions
Information about the UnitStandards:4.NF.3 Understand a fraction 𝑎
𝑏 with a numerator >1 as a sum of unit fractions 1
𝑏 .
a. Understand addition and subtraction of fractions as joining and separating parts referring
to the same whole.
b. Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8. c. Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction. d. Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem. 4.NF.4 Apply and extend previous understandings of multiplication to multiply a fraction by a whole number e.g., by using a visual such as a number line or area model. a. Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4). b. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, n × (a/b) = (n × a)/b.) c. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie? 4.MD.2 Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. Students should be able to demonstrate the following skills by the end of the unit.: Lessons in the Textbook
Chapter 9Lesson 1: Hands On: Use Models to Add Like Fractions
Lesson 2: Add Like Fractions Lesson 3: Hands On: Use Models to Subtract Like Fractions Lesson 4 Subtract Like Fractions Lesson 6: Add Mixed Numbers Lesson 7: Subtract Mixed Numbers Lesson 8: Hands On: Model Fractions and Multiplication Lesson 9: Multiply Fractions by Whole Numbers Chapter
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Unit 4 Guide
PracticeIXL4.NF.3:
a.
4.NF.4: a.
Brain Pop4.NF.3:
a.
c.
4.NF.4:
Video ResourcesNF.3.b Decomposing fractions
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