LAC 28:CXLII.1303. Numeracy and Operational Fluency

A. Use equivalent fractions as a strategy to add and subtract fractions. 1. Add and subtract fractions with unlike denominators including mixed numbers and fractions greater than 1 by replacing given fractions with equivalent fractions to produce an equivalent equation with fractions that have like denominators. 2. Solve real-world mathematical tasks involving addition and subtraction of fractions. a. Add and subtract fractions referring to the same whole, including cases of unlike denominators. b. Use benchmark fractions and number sense of fractions to estimate mentally and justify the reasonableness of answers. B. Apply and extend previous understandings of multiplication and division to multiply and divide fractions. 1. Interpret a fraction as division of the numerator by the denominator (. Solve real-world mathematical tasks involving division of whole numbers in the form of fractions to include fractions greater than one or mixed numbers. 2. Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. a. Interpret the product ( as m parts of a partition of q into n equal parts; equivalently, as the result of a sequence of operations, (÷ n. b. Construct or critique a precise model to develop understanding of the concept of multiplying two fractions and create a story context for the equation. In general, (m/n) x (c/d) = (mc)/nd). 3. Interpret multiplication as scaling (resizing). a. Compare the size of a product to the size of one factor based on the size of the other factor, without performing the indicated multiplication. b. Explain why multiplying a given number by a fraction greater than 1 results in a product greater than the given number recognizing multiplication by whole numbers greater than 1 as a familiar case. c. Explain why multiplying a given number by a fraction less than 1 results in a product smaller than the given number. d. Relate the principle of fraction equivalence. 4. Represent and solve real-world mathematical tasks involving multiplication of fractions, including fractions greater than 1 and mixed numbers. 5. Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions in the context of real-world mathematical tasks. a. Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. b. Interpret division of a whole number by a unit fraction, and compute such quotient. C. Understand the place value system. 1. Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and of what it represents in the place to its left. 2. Use place value understanding. a. Round multi-digit numbers with decimals to any place. b. Use compatible numbers to estimate solutions to real-world mathematical tasks. D. Multiply multi-digit numbers. 1. Fluently multiply multi-digit whole numbers using a standard algorithm.