Grade 8 - Number
Standard 8.N.6 - Solve multiplication equations with fractions.
Included Skills: Fractions, Multiplication
Demonstrate an understanding of multiplying and dividing positive fractions and mixed numbers, concretely, pictorially and symbolically. Students who have achieved this outcome should be able to: A. Identify the operation required to solve a given problem involving positive fractions. B. Provide a context that requires the multiplying of two given positive fractions. C. Provide a context that requires the dividing of two given positive fractions. D. Estimate the product of two given positive proper fractions to determine if the product will be closer to 0, 1/2 or 1. E. Estimate the quotient of two given positive fractions and compare the estimate to whole number benchmarks. F. Express a given positive mixed number as an improper fraction and a given positive improper fraction as a mixed number. G. Model multiplication of a positive fraction by a whole number concretely or pictorially and record the process. H. Model multiplication of a positive fraction by a positive fraction concretely or pictorially using an area model and record the process. I. Model division of a positive proper fraction by a whole number concretely or pictorially and record the process. J. Model division of a positive proper fraction by a positive proper fraction pictorially and record the process. K. Generalize and apply rules for multiplying and dividing positive fractions, including mixed numbers. L. Solve a given problem involving positive fractions, taking into consideration order of operations (limited to problems with positive solutions).