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# 5th Grade Common Core Standards Division of Fractions Test

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This test covers the content in common core standard MCC5.NF.3&7. The test includes a mix of multiple choice and open response questions to challenge students.

I created this test with the implementation of the common core standards in Georgia in 2012-13. Despite teaching at a Title I school my students mastered the new rigorous standards exceedingly well, with 80% of my students exceeding state standards and all of my students meeting state standards.

This test is the 10th in a series of 14 tests which will cover all 5th grade common core standards. I have intentionally tried to keep the number of pages limited in order to help teachers who have copy limitations at their school. All of the tests in the series have between 14 and 20 questions, which I have found to be the perfect amount. It is enough to allow students to show mastery, without wasting classroom time with extended testing time.

The test can be used as a test, study guide or a practice worksheet depending on your needs. It would also work well in preparation for standardized testing. This test covers the standards listed below:
5.NF.3 – Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?
5.NF.7 – Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.
7.a – Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) × 4 = 1/3.
7.b – Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ (1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 × (1/5) = 4.
7.c – Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins?

THIS TEST IS SUPPORTED BY AN ONLINE STUDY GUIDE TUTORIAL TO HELP STUDENTS STUDY FOR THE TEST. ONLINE TUTORIALS, ALONG WITH ADDITIONAL 5TH GRADE CURRICULUM SUPPORT, ARE AVAILABLE AT WWW.JONATHANFEICHT.COM.

Get all 14 math tests for a deeply discounted rate at 5th Grade Common Core Math Tests--All Units
Total Pages
5 pages
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Teaching Duration
45 minutes
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