Grade 8 - Number
Standard 8.N.4 - Solve multiplication and division equations with integers.
Included Skills: Multiplication, Division
Demonstrate understanding of multiplying and dividing positive fractions and mixed numbers, concretely, pictorially, and symbolically. • Identify and describe situations relevant to self, family, or community in which multiplication and division of fractions are involved. • Model the multiplication of two positive fractions and record the process symbolically. • Compare the multiplication of positive fractions to the multiplication of whole numbers, decimals, and integers. • Generalize and apply strategies for determining estimates of products of positive fractions • Generalize and apply strategies for multiplying positive fractions. • Critique the statement "Multiplication always results in a larger quantity" and reword the statement to capture the points of correction or clarification raised (e.g., 1/2 x 1/2= 1/4 which is smaller than 1/2) • Explain, using concrete or pictorial models as well as symbolic reasoning, how the distributive property can be used to multiply mixed numbers. • Model the division of two positive fractions and record the process symbolically. • Compare the division of positive fractions to the division of whole numbers, decimals, and integers. • Generalize and apply strategies for determining estimates of quotients of positive fractions. • Estimate the quotient of two given positive fractions and explain the strategy used. • Generalize and apply strategies for determining the quotients of positive fractions. • Critique the statement "Division always results in a smaller quantity" and reword the statement to capture the points of correction or clarification raised (e.g., 1/2 ÷ 1/4= 2, but 2 is bigger than 1/2 or 1/4). • Identify, without calculating, the operation required to solve a problem involving fractions and justify the reasoning. • Create, represent (concretely, pictorially, or symbolically) and solve problems that involve one or more operations on positive fractions (including multiplication and division).