Understanding Fractions – Grade 3 and Grade 4
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Understanding Fractions – Grade 3 and Grade 4


8 x Lessons


This Mathematics unit covers a range of concepts relating to fractions.

It consists of 8 lessons of approximately 60 minutes duration.

The sequence of lessons and suggested time frames should be regarded as a guide only; teachers should pace lessons in accordance with the individual learning needs of their class.

An assessment task for monitoring student understanding of the unit objectives is included and will require an additional lesson.

Lessons

Lesson 1 60 minutes

Exploring Unit Fractions

A 60 minute lesson in which students will identify and explore common unit fractions.

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Lesson 2 60 minutes

Understanding Equivalence

A 60 minute lesson in which students will identify and explore equivalent fractions.

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Lesson 3 60 minutes

Reducing Fractions to Lowest Terms

A 60 minute lesson in which students will learn to reduce fractions to their lowest terms.

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Lesson 4 60 minutes

Improper Fractions and Mixed Numerals

A 60 minute lesson in which students will convert between improper fractions and mixed numerals.

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Lesson 5 60 minutes

Adding and Subtracting Like Fractions

A 60 minute lesson in which students will add and subtract fractions with the same denominator.

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Lesson 6 60 minutes

Fractions Investigation - Designing

A 60 minute lesson in which students will apply knowledge and understanding of fractions to a real-world context.

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Lesson 7 60 minutes

Fractions Investigation - Analyzing

A 60 minute lesson in which students will apply knowledge and understanding of fractions to a real-world context.

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Lesson 8 60 minutes

Fractions Investigation - Presenting

A 60 minute lesson in which students will apply knowledge and understanding of fractions to a real-world context.

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Lesson 9 (Assessment) 60 minutes

Understanding Fractions Assessment - Grade 3 and Grade 4

A 60 minute assessment designed to assess student learning.

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Common Core State Standards alignment

Grade 3 > Standards for Mathematical Practice > Number & Operations - Fractions > Develop understanding of fractions as numbers
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. (CCSS.MATH.CONTENT.3.NF.A.1)

Grade 3 > Standards for Mathematical Practice > Number & Operations - Fractions > Develop understanding of fractions as numbers
Understand a fraction as a number on the number line; represent fractions on a number line diagram. (CCSS.MATH.CONTENT.3.NF.A.2)

Grade 3 > Standards for Mathematical Practice > Number & Operations - Fractions > Develop understanding of fractions as numbers
Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. (CCSS.MATH.CONTENT.3.NF.A.3)

Grade 4 > Standards for Mathematical Practice > Number & Operations - Fractions > Extend understanding of fraction equivalence and ordering
Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model. (CCSS.MATH.CONTENT.4.NF.A.2)

Grade 4 > Standards for Mathematical Practice > Number & Operations - Fractions > Build fractions from unit fractions > CCSS.MATH.CONTENT.4.NF.B.3
Understand addition and subtraction of fractions as joining and separating parts referring to the same whole. (CCSS.MATH.CONTENT.4.NF.B.3.A)