Lesson 12 | Fractions | 3rd Grade Mathematics

Objective

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.

Lesson Map

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

Lesson

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

Standards

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

Lesson

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

Lesson

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

Lesson

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

Standards

3.NF.A.1

Lesson

Draw the whole when given the unit fraction.

Standards

3.NF.A.1

Lesson

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

Lesson

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

Standards

3.NF.A.2

Lesson

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

Standards

3.NF.A.2

Lesson

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

Standards

3.NF.A.2

Lesson

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

Standards

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

Lesson

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

Lesson

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

Lesson

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

Lesson

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

Standards

3.NF.A.3.C

Lesson

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

Lesson

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

Lesson

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

Lesson

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

Lesson

Compare and order fractions using various methods.