Use benchmark fractions and number sense to estimate mentally and assess the reasonableness of answers.
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Note that on the Problem Set, #8b is a two-step word problem, which is why it is near the end of the Problem Set. This provides a nice preview for the work students will do in Lesson 12.
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Estimate whether the following sums and differences are greater than or less than 1. For any estimate that is less than 1, estimate whether the sum or difference will be greater than or less than $$\frac{1}{2}$$.
a. $${{1\over2}}+{3\over4}$$
b. $$1{2\over3}-{2\over5}$$
c. $${4\over10}+{2\over9}$$
d. $$1{4\over7}-{9\over10}$$
Grade 5 Mathematics > Module 3 > Topic D > Lesson 13 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..
Modified by The Match Foundation, Inc.Van de Walle, John A. Teaching Student-Centered Mathematics: Developmentally Appropriate Instruction for Grades 3-5 (Volume II). Pearson, 2nd edition, 2013.
Modified by The Match Foundation, Inc.Joe is baking cookies. He needs a total of $$2$$ cups of sugar for the recipe. Joe bought a $$4{1\over2}$$ cup bag of sugar and has used $$2{3\over4}$$ cups already.
Without solving the problem, does Joe have enough sugar? Explain your thinking.
Is Tim Incorrect? from the 3-5 Formative Instructional and Assessment Tasks for the Standards in Mathematics, made available by the North Carolina Department of Public Instruction (NCDPI) Elementary Mathematics Consultants and their public school partners under the CC BY-NC-SA 3.0 license. Accessed Feb. 9, 2018, 1:53 p.m..
Modified by The Match Foundation, Inc.Kevin and Tiana are making soup. The recipe calls for a pound of onions. They have one onion that weighs $${{1\over2}}$$ pound and another that weighs $${{2\over5}}$$ pound. Kevin says they only have $${{3\over7}}$$ pound of onion, so they definitely don't have enough.
Do you think Kevin's answer is reasonable? Why or why not?
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After a class lunch, the class has $$\frac{9}{16}$$ gallon of soup left over. They give $$\frac{3}{8}$$ gallon of this soup to the school office.
A student says they now have $$\frac{3}{4}$$ gallon of soup left over because when you subtract the numerators and denominators, the difference is $$\frac{6}{8}$$, and $$\frac{6}{8}$$ is equivalent to $$\frac{3}{4}$$ when you divide both the numerator and denominator by 2.
Math Spring Operational 2016 Grade 5 Released Items is made available by The Partnership for Assessment of Readiness for College and Careers (PARCC). Copyright © 2017 All Rights Reserved. Accessed Dec. 5, 2017, 3:57 p.m..
Modified by The Match Foundation, Inc.?