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. • Achievement Indicators - Identify the operation required to solve a given problem involving positive fractions. - Provide a context that requires the multiplying of two given positive fractions. - Provide a context that requires the dividing of two given positive fractions. - Estimate the product of two given positive proper fractions to determine if the product will be closer to 0, 1/2 or 1. - Estimate the quotient of two given positive fractions and compare the estimate to whole number benchmarks. - Express a given positive mixed number as an improper fraction and a given positive improper fraction as a mixed number. - Model multiplication of a positive fraction by a whole number concretely or pictorially and record the process. - Model multiplication of a positive fraction by a positive fraction concretely or pictorially using an area model and record the process. - Model division of a positive proper fraction by a whole number concretely or pictorially and record the process. - Model division of a positive proper fraction by a positive proper fraction pictorially and record the process. - Generalize and apply rules for multiplying and dividing positive fractions, including mixed numbers. - Solve a given problem involving positive fractions taking into consideration order of operations (limited to problems with positive solutions).