This test covers the content in common core standard MCC5.NF.4-6. 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 9th 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.4- Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
4.a – Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. For example, use a visual fraction model to show (2/3) × 4 = 8/3, and create a story context for this equation. Do the same with (2/3) × (4/5) = 8/15. (In general, (a/b) × (c/d) = ac/bd.)
4.b – Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side
lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.
5.NF.5- Interpret multiplication as scaling (resizing), by:
5.a – Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.
5.b – Explain why multiplying a given number by a fraction
greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n × a)/(n × b) to the effect of multiplying a/b by 1.
5.NF.6 – Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.
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.
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