Curriculum / Math / 5th Grade / Unit 4: Addition and Subtraction of Fractions/Decimals / Lesson 1
Math
Unit 4
5th Grade
Lesson 1 of 17
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Lesson Notes
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Recognize and generate equivalent fractions.
The core standards covered in this lesson
5.NF.A — Use equivalent fractions as a strategy to add and subtract fractions.
The foundational 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 essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
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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
Ms. Kosowsky makes brownies in two pans of the same size. She cuts the pans in the following way:
Ms. Kosowsky gives one brownie from Pan A to Ms. Kohler and gives four brownies from Pan B to herself. Ms. Kohler thinks this isn’t fair since she only got one brownie and Ms. Kosowsky got four. Ms. Kosowsky thinks it’s fair.
Who do you agree with, Ms. Kosowsky or Ms. Kohler? Why?
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a. What fraction does the point on the number line below represent?
b. What fraction does the point on the number line below represent?
c. Use the number lines to explain why the two fractions represented above are equivalent.
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 more fractions that are equivalent to each of the following. Use pictures and an equation to explain why the fractions are equivalent.
a. $$\frac{1}{3}$$
b. $$\frac{2}{5}$$
c. $$\frac{4}{6}$$
d. $$\frac{36}{24}$$
Grade 5 Mathematics > Module 3 > Topic A > Lesson 1 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Solve for the missing value.
a. $${{2\over5}={10\over\square}}$$
b. $${{5\over4}={\square\over16}}$$
c. $${{18\over24}={\square\over4}}$$
d. $${{18\over15}={6\over\square}}$$
Van de Walle, John A. Teaching Student-Centered Mathematics: Developmentally Appropriate Instruction for Grades 3-5 (Volume II). Pearson, 2nd edition, 2013.
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
Find three fractions that are equivalent to each of the following fractions. Use pictures and an equation to explain why the fractions are equivalent.
a. $${{5\over8}}$$
b. $${{6\over4}}$$
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.
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Add fractions with like denominators.
Topic A: Addition and Subtraction of Fractions
Standards
5.NF.A
Subtract fractions with like denominators.
Add fractions with unlike denominators whose sum is less than 1.
5.NF.A.15.NF.A.2
Subtract fractions from fractions less than 1 with unlike denominators.
Add fractions with unlike denominators whose sum is less than 2.
Subtract fractions from fractions less than 2 with unlike denominators.
Add fractions with unlike denominators whose sum is greater than 2.
Subtract fractions from fractions greater than 2 with unlike denominators.
Use benchmark fractions and number sense to estimate mentally and assess the reasonableness of answers.
5.NF.A.2
Add and subtract more than two fractions.
5.NF.A.1
Solve two- and multi-step word problems involving addition and subtraction of fractions.
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Topic B: Addition and Subtraction of Decimals
Add decimals where the total is less than or equal to 2.
5.NBT.B.7
Add decimals where the total is greater than 2.
Subtract decimals where the total is less than or equal to 2.
Subtract decimals where the total is greater than 2.
Solve two- and multi-step word problems involving addition and subtraction of decimals.
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