Curriculum / Math / 3rd Grade / Unit 6: Fractions / Lesson 13
Math
Unit 6
3rd Grade
Lesson 13 of 24
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Lesson Notes
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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.
The core standards covered in this lesson
3.NF.A.3.A — Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.
3.NF.A.3.B — 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.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
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Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding
25-30 minutes
Mrs. Allen and Ms. Roll each got the same kind of chocolate bar at the grocery store. Mrs. Allen broke her chocolate bar into three equal-sized pieces and ate one of those pieces. Ms. Roll broke her chocolate bar into six equal-sized pieces and ate two of those pieces. Who ate more chocolate, Mrs. Allen or Ms. Roll? Use the models below to support your reasoning.
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Jessie drew the following area model to represent a fraction.
Which of the following fractions are equivalent to the one represented above? Select all that apply.
15-20 minutes
Problem Set
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
5-10 minutes
Shade the model below to create a fraction that is equivalent to $$\frac{4}{8}$$.
Explain how you know the model above represents a fraction that is equivalent to $$\frac{4}{8}$$.
The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.
Extra Practice Problems
Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.
Next
Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers.
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.
Partition a whole into equal parts using area models and tape diagrams, identifying and writing non-unit fractions in fraction notation.
3.NF.A.1
Identify fractions of a whole that is not partitioned into equal parts.
Draw the whole when given the unit fraction.
Identify a shaded fractional part in different ways, depending on the designation of the whole.
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Topic B: Fractions on a Number Line
Partition a number line from 0 to 1 into fractional units.
3.NF.A.2
Place any fraction on a number line with endpoints 0 and 1.
Place any fraction on a number line with endpoints 0 and another whole number greater than 1.
Place any fraction on a number line with endpoints greater than 0.
3.NF.A.23.NF.A.3.C
Place various fractions on a number line where the given interval is not a whole.
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.
3.NF.A.3.A3.NF.A.3.B
3.NF.A.3.C
Explain equivalence by manipulating units and reasoning about their size.
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 <.
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 <.
Compare fractions with the same denominators by reasoning about their number of units. Record the results of comparisons with the symbols >, =, or <.
Compare and order fractions using various methods.
3.NF.A.3
Understand fractions as numbers.
3.NF.A
Topic E: Line Plots
Measure lengths to the nearest half inch.
3.MD.B.4
Measure lengths to the nearest quarter inch.
Generate measurement data and represent it in a line plot.
Create line plots (dot plots).
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