Chapter 9: Relate Fractions and Decimals

In Chapter 9 students will:

• understand decimal notation for fractions and compare decimal fractions
• solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit

Vocabulary:

• fraction – a number that names part of a while or part of a group
• equivalent fractions - two or more fractions that name the same amount
• decimal – a number with one or more digits to the right of the decimal point
• decimal point – a symbol used to separate dollars from cents in a money amount; to separate the ones and the tenths place in a decimal
• equivalent decimals – two or more decimals that name the same amount
• compare - to describe whether numbers are equal to, less than, or grater than each other
• tenth - one of ten equal parts
• hundredth - one of one-hundred equal parts

Chapter 9 videos:

Lesson 9.1 Relate Tenths and Decimals (CC.4.NF.6)

Lesson 9.2 Relate Hundredths and Decimals (CC.4.NF.6)

Lesson 9.3 Equivalent Fractions and Decimals (CC.4.NF.5)

Lesson 9.4 Relate Fractions, Decimals, and Money (CC.4.NF.6)

Lesson 9.5 Problem Solving - Money (CC.4.MD.2)^

Lesson 9.6 Add Fractional Parts of 10 and 100 (CC.4.NF.5)

Lesson 9.7 Compare Decimals (CC.4.NF.7)

^ - created by Alden Jack - North Park Elementary

* - created by Holly Stuart - North Park Elementary

Chapter 9 Standards: Number and Operations - Fractions

Understand decimal notation for fractions, and compare decimal fractions. (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.