Curriculum / Math / 4th Grade / Unit 4: Fraction Equivalence and Ordering / Lesson 6
Math
Unit 4
4th Grade
Lesson 6 of 15
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Lesson Notes
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Recognize and generate equivalent fractions with smaller units using number lines.
The core standards covered in this lesson
4.NF.A.1 — Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.
The foundational standards covered in this lesson
3.NF.A.3 — Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
4.OA.A.1 — Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.
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
a. What fraction represents the point shown on the number line below?
b. What fraction represents the point shown on the number line below?
c. Use the pictures to explain why the two fractions represented above are equivalent.
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Explaining Fraction Equivalence with Pictures, accessed on March 23, 2018, 8:50 a.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
Find two fractions that are equivalent to each of the following:
a. $${{1\over2}}$$
b. $${{2\over5}}$$
c. $${{5\over2}}$$
Determine whether the following are equivalent. Show or explain how you know.
a. $${{2\over3}}$$ and $${{8\over12}}$$
b. $${{3\over4}}$$ and $${{8\over10}}$$
c. $${{5\over3}}$$ and $${{10\over6}}$$
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
The fraction $${{4\over5}}$$ is represented on the number line below.
Use the number line to find two more equivalent fractions.
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
Recognize and generate equivalent fractions with smaller units using area models.
Topic A: Factors and Multiples
Identify multiples and determine if a whole number is a multiple of another number.
Standards
4.OA.B.4
Explore patterns in multiples of various whole numbers.
Find factor pairs for numbers to 100 and recognize that a whole number is a multiple of each of its factors.
Determine whether a given number is prime or composite.
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Topic B: Equivalent Fractions
Recognize and generate equivalent fractions with smaller units using tape diagrams.
4.NF.A.1
Recognize and generate equivalent fractions with smaller units using multiples.
Recognize and generate equivalent fractions with larger units using visual models.
Recognize and generate equivalent fractions with larger units using factors.
Topic C: Comparing and Ordering Fractions
Compare two fractions where one numerator or denominator is a factor of the other by replacing one fraction with an equivalent one.
4.NF.A.2
Compare two fractions by replacing both fractions with equivalent ones.
Compare two fractions using one whole as a benchmark.
Compare two fractions using one half as a benchmark.
Compare and order fractions using various strategies.
4.NF.A
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