Chapter 7: Add and Subtract Fractions

In Chapter 7 students will:

• build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers

Vocabulary:

• fraction – a number that names part of a while or part of a group
• numerator - the part of a fraction above the line which tells how many parts are/not being counted
• denominator – the part of the fraction below the line which tells how many equal parts there are in a whole or a group
• mixed number – an amount given as a whole number and a fraction (3 1/2)
• unit fraction – a fraction that has a numerator of one
• simplest form - a fraction in which the numerator and denominator have only 1 as a common factor
• Associative Property of Addition - the property that states that when the grouping of addends is changes, the sum is the same
• (ex. 7 + 3 + 2 = (7+3) + 2 or (3+2) + 7)
• Commutative Property of Addition - the property that states that when the order or two or more addends is changes, the sum is the same
• (ex. 3 + 4 = 4 + 3)

Chapter 7 videos:

Lesson 7.1 Add and Subtract Parts of a Whole (CC.4.NF.3a)^

Lesson 7.2 Write Fractions as Sums (CC.4.NF.3b)*

Lesson 7.3 Add Fractions Using Models (CC.4.NF.3d)^

Lesson 7.4 Subtract Fractions Using Models (CC.4.NF.3d)^

Lesson 7.5 Add and Subtract Fractions (CC.4.NF.3d)*

Lesson 7.6 Rename Fractions and Mixed Numbers (CC.4.NF.3b)*

Lesson 7.7 Add and Subtract Mixed Numbers (CC.4.NF.3c)*

Lesson 7.8 Subtraction with Renaming (CC.4.NF.3c)^

Lesson 7.9 Fractions and Properties of Addition (CC.4.NF.3c)*

Lesson 7.10 Multistep Fraction Problems (CC.4.NF.3d)^

^ - created by Alden Jack - North Park Elementary

* - created by Jessica Littlefield - North Park Elementary

Chapter 7 Standards: Number and Operations - Fractions

Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. (CC.4.NF.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., be 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.