LAC 28:CXLII.905. Algebraic Reasoning

A. Represent and solve problems involving multiplication and division. 1. Interpret products of whole numbers/factors. 2. Interpret whole-number quotients of whole numbers. 3. Use multiplication and division within 100 to solve real-world mathematical tasks in situations involving equal groups, arrays, and measurement quantities. a. Represent these situations by using models, drawings, and equations with a symbol for the unknown number to represent the problem. 4. Determine the unknown whole number in a multiplication or division equation relating three whole numbers by representing the situation with a model or drawing and solving for the unknown. B. Understand properties of multiplication ND the relationships between multiplication and division. 1. Apply properties of operations as strategies to multiply and divide. 2. Understand division as an unknown-factor problem, providing an explanation that leverages the relationship between and the properties of multiplication and division. C. Understand properties of multiplication and the relationship between multiplication and division. 1. Solve real-world mathematical tasks involving at least two steps and using at least two of the four operations. 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. 2. Identify, create, and extend arithmetic patterns, and explain using properties of operations without the formal language of the properties. D. Compare whole numbers. 1. Use understanding of the base-ten system. a. Compare whole numbers up to 100,000, using >, =, and < symbols to record the results of comparisons. b. Order a set of whole numbers up to 100,000.