Chapter 14

Fractions

3rd Grade: Chapter 14 Outline

Week 23 - Week 25

Essential Questions:

How can I justify whether 2 fractions are equivalent or not?
How can I model addition and subtraction of fractions?
How can I show fractions using a variety of forms?

Content:

Students will know and understand:

How to read a fraction.
How to find equivalent fractions.
How to add fractions with sums to one.
How to subtract a like fraction from another like fraction or whole number.
How to find the number of item in a fraction of a set.

Skills:

Students Will:

Read, write and identify fractions from wholes with more than four parts.
Identify numerator and denominator.
Find equivalent fractions using a variety of strategies.
Compare and order fractions.
Add and subtract fractions.
Read write and identify fractions of a set.

Assessment

Chapter 14 Assessment: Fractions

Formative Test: Common

Upon completion of Unit 14:

3.NF.A.1. Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.
3.NF.A.2. Understand a fraction as a number on the number line; represent fractions on a number line diagram.
3.NF.A.2a. Represent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. Recognize that each part has size 1/b and that the endpoint of the part based at 0 locates the number 1/b on the number line.
3.NF.A.2b. Represent a fraction a/b on a number line diagram by marking off a lengths 1/b from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the number a/b on the number line.
3.NF.A.3. Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
3.NF.A.3a. Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.
3.NF.A.3b. Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3). Explain why the fractions are equivalent, e.g., by using a visual fraction model.
3.NF.A.3c. Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers.
3.NF.A.3d. Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.
3.MD.B.4. Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units— whole numbers, halves, or quarters.
3.G.A.2. Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole.
MP.1. Make sense of problems and persevere in solving them.
MP.2. Reason abstractly and quantitatively.
MP.7. Look for and make use of structure.

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