LAC 28:CXLII.1105. Algebraic Reasoning

A. Use the four operations with whole numbers to solve real-world mathematical tasks. 1. Interpret a multiplication equation as a comparison and represent verbal statements of multiplicative comparisons as multiplication equations. 2. Multiply or divide to solve real-world mathematical tasks involving multiplicative comparison. a. Represent these tasks by using drawings and/or equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison. 3. Solve multi-step real-world mathematical tasks involving more than one operation posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. a. Represent these problems using equations with a letter standing for the unknown quantity. b. Assess the reasonableness of answers using mental computation and estimation strategies, including rounding. B. Generate and analyze patterns. 1. Generate and extend a number or shape pattern that follows a given rule. a. Identify apparent features of the pattern that were not explicit in the rule itself. C. Compare whole numbers. 1. Use understanding of the base-ten system. a. Compare multi-digit whole numbers up to 1,000,000 using >, =, and < symbols to record the results of comparisons. b. Order a set of whole numbers up to 1,000,000. D. Use place value understanding and properties of operations to perform multi-digit arithmetic. 1. Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value understanding and the properties of operations. a. Illustrate and explain the calculation by using equations, rectangular arrays, number line diagrams, and/or area models. 2. Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value understanding, the properties of operations, and/or the relationship between multiplication and division. a. Represent and explain the calculation by using equations, rectangular arrays, and/or area models.