Curriculum / Math / 3rd Grade / Unit 6: Fractions / Lesson 16

Fractions

Lesson 16

Math

Unit 6

3rd Grade

Lesson 16 of 24

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Objective

Compare unit fractions (a unique case of fractions with the same numerators) by reasoning about the size of their units. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <.

Lesson Map

Topic A: Understanding Unit Fractions and Building Non-Unit Fractions

Partition a whole into equal parts using area models, identifying fractional units.

Standards

3.G.A.23.NF.A.1

Partition a whole into equal parts using tape diagrams (i.e., fraction strips), identifying and writing unit fractions in fraction notation.

Standards

3.G.A.23.NF.A.1

Partition a whole into equal parts using area models and tape diagrams, identifying and writing non-unit fractions in fraction notation.

Standards

3.NF.A.1

Identify fractions of a whole that is not partitioned into equal parts.

Standards

3.NF.A.1

Draw the whole when given the unit fraction.

Standards

3.NF.A.1

Identify a shaded fractional part in different ways, depending on the designation of the whole.

Standards

3.NF.A.1

Topic B: Fractions on a Number Line

Partition a number line from 0 to 1 into fractional units.

Standards

3.NF.A.2

Place any fraction on a number line with endpoints 0 and 1.

Standards

3.NF.A.2

Place any fraction on a number line with endpoints 0 and another whole number greater than 1.

Standards

3.NF.A.2

Place any fraction on a number line with endpoints greater than 0.

Standards

3.NF.A.23.NF.A.3.C

Place various fractions on a number line where the given interval is not a whole.

Standards

3.NF.A.23.NF.A.3.D

Topic C: Equivalent Fractions

Understand two fractions as equivalent if they are the same point on a number line referring to the same whole. Use this understanding to generate simple equivalent fractions.

Standards

3.NF.A.3.A3.NF.A.3.B

Understand two fractions as equivalent if they are the same sized pieces of the same sized wholes, though not necessarily the same shape. Use this understanding to generate simple equivalent fractions.

Standards

3.NF.A.3.A3.NF.A.3.B

Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers.

Standards

3.NF.A.3.C

Explain equivalence by manipulating units and reasoning about their size.

Standards

3.NF.A.3.A3.NF.A.3.B3.NF.A.3.C

Topic D: Comparing Fractions

Compare unit fractions (a unique case of fractions with the same numerators) by reasoning about the size of their units. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <.

Standards

3.NF.A.3.D

Compare fractions with the same numerators by reasoning about the size of their units. Record the results of comparisons with the symbols >, =, or <.

Standards

3.NF.A.3.D

Compare fractions with the same denominators by reasoning about their number of units. Record the results of comparisons with the symbols >, =, or <.

Standards

3.NF.A.3.D

Compare and order fractions using various methods.

Standards

3.NF.A.3

Understand fractions as numbers.

Standards

3.NF.A

Topic E: Line Plots

Measure lengths to the nearest half inch.

Standards

3.MD.B.4

Measure lengths to the nearest quarter inch.

Standards

3.MD.B.4

Generate measurement data and represent it in a line plot.

Standards

3.MD.B.4

Create line plots (dot plots).

Standards

3.MD.B.4

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