Unit 5 Building Understanding of Addition, Subtraction and Multiplication of Fractions
In Unit 5 students will:
 Understand a fraction a/b with a > 1 as a sum of fractions 1/b. ^{3}
 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.
 Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. ^{3}
 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?
Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.
By the end of Unit 5 your child should be able to answer the following questions:
 How do we add and subtract fractions and mixed numbers?
 How is multiplying fractions different than adding mixed numbers?
 How can I recognize the whole in an improper fraction?
 How can I multiply a whole number by a fraction?
The following videos explain some of the topics covered in Unit 6.
 Unit Fractions
 Placing Improper Fractions on a Number Line
 Visual Models of Improper Fractions
 Fractions and Mixed Numbers on a Number Line
 Fractions and Mixed Numbers on a Number Line
 Convert Mixed Numbers into Improper Fractions
 Review of Improper Fractions
 Adding and Subtracting Mixed Numbers with Models
 Converting Improper Fractions to Mixed Numbers
 Multiply a Fraction By a Whole Number Using a Algorithm
To view the following LearnZillion Videos you will need to become a member. It is FREE to join and being a member allows you access to a large collection of LearnZillion videos.
 To learn about Decomposing Fractions at LearnZillion
 To learn how to Add Fractions with Like Denominators on a Number Line at LearnZillion
 To learn how to Subtract Fractions with Like Denominators on a Number Line at LearnZillion
 To learn how to Plot Improper Fractions on a Number Line
 To learn how to Multiply a Fraction by a Whole Number using a Number Line
 To learn how to Multiply a Fraction by a Whole Number using Repeated Addition
 To learn how to Multiply a Fraction by a Whole Number using a Fraction Model