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Unit Details

​​​​​​​​​​​​​​​​​​​​​​​​Instructions: Rockwood unit details share the timeline, the enduring understanding and the essential questions for each unit.  Click on the standard title to be directed to the information on related standards for the unit.​

 Unit Details

Unit Title
Multiplying and Dividing Fractions and Mixed Numbers
Unit Number
5MA04
Course
Fifth Grade Math
Content Area
Math
Description
Students will understand that whole numbers, fractions, and mixed numbers can be multiplied or divided in any combination.
Timeline
2 Week(s)
Enduring Understandings
Mathematicians make sense of problems and persevere in solving them.
Mathematicians reason abstractly and quantitatively.
Mathematicians construct viable arguments and critique the reasoning of others.
Mathematicians model with mathematics.
Mathematicians attend to precision.
Mathematicians look for and make sense of structure.
Mathematicians make generalizations.





Essential Questions
How do students multiply proper fractions using models and then apply what they have learned to solve real-world problems?
How do students multiply and divide proper fractions, improper fractions, and mixed numbers by fractions or whole numbers and apply what they have learned to solve real-word problems?
Additional Unit Resources

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Standard
Standard Component
  
Understand that parts of a whole can be expressed as fractions and/or decimals.
  
  
Standard
Standard Component
  
Estimate results of sums, differences and products with fractions and decimals to the thousandths.
  
Justify the reasonableness of a product when multiplying with fractions
A. Estimate the size of the product based on the size of the two factors.
B. Explain why multiplying a given number by a fraction greater than 1 results in a product larger than the given number.
C. Explain why multiplying a given number by a fraction less than 1 results in a product smaller than the given number.
D. Explain why multiplying the numerator and denominator by the same number is equivalent to multiplying the fraction by 1.
 











  
Extend the concept of multiplication to multiply a fraction or whole number by a fraction.
A. Recognize the relationship between multiplying fractions and finding the areas of rectangles with fractional side lengths
B. Calculate and interpret the product of a fraction by a whole number and a whole number by a fraction.
C. Calculate and interpret the product of two fractions less than one.
  
Extend the concept of division to divide unit fractions and whole numbers by using visual fraction models and equations
A. Calculate and interpret the quotient of a unit fraction by a non-zero whole number.
B. Calculate and interpret the quotient of a whole number by a unit fraction.