M.5.Q.NF.4

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PRISM has only mapped this standard's links from Grade 6 so far.

M.5.Q.NF.4

Priority

Apply and extend previous understandings of multiplication to efficiently, flexibly, and accurately multiply a fraction or whole number by a fraction.

  1. a.Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b. For example, use a visual fraction model to show (2/3) x 4 = 8/3, and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15.
  2. 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.

Common Core: 5.NF.B.4

Resources9 IM tasksWIDAOSPI

Illustrative Mathematics tasks9

5 more

From the Illustrative Mathematics task library, CC BY-NC-SA 4.0

WIDA language connections2

Argue · Interpretivelistening, reading and viewing

ELD-MA.4-5.Argue.Interpretive · Language for Mathematics, Grades 4-5

Interpret mathematics arguments by…

  • Comparing conjectures with patterns, and/or rules
Argue · Expressivespeaking, writing and representing

ELD-MA.4-5.Argue.Expressive · Language for Mathematics, Grades 4-5

Construct mathematics arguments that…

  • Create conjecture using definitions, patterns, and rules
  • Generalize commonalities and differences across cases

OSPI's example connections to the WIDA ELD Standards Framework. How to read these

From OSPI

Washington OER Hub · Free, openly licensed materials for M.5.Q.NF.4

Smarter Balanced interim assessment

  • Grade 5: Multiply and Divide Fractions I · Focused interim block, items 4, 9
  • Grade 5: Multiply and Divide Fractions II · Focused interim block, items 5, 7, 12, 10*

A star marks an item aligned to Smarter Balanced claims 2, 3 or 4: problem solving, reasoning or modeling on this content.

Builds to

Where it goes next

Grade 6

M.6.R.NS.1PriorityA quotient is checked by multiplying back, and the rule for dividing fractions comes out of fraction multiplication, so a student needs this to make sense of either.Interpret and efficiently, flexibly, and accurately determine quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem.M.6.SR.G.2PriorityPart b tiles a rectangle with fractional sides to find its area, the same reasoning in one fewer dimension.Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.

Standards text, priority flags, the Common Core crosswalk and the linked resources are published by the Washington Office of Superintendent of Public Instruction (OSPI). PRISM is an independent tool, not affiliated with or endorsed by OSPI. The Standards for Mathematical Practice text is from the Common Core State Standards.

Check OSPI's documents before anything official. Back to the standards hub