Unit 3
Reasoning about Multiplication and Division
Reasoning about Multiplication and Division
4MA.A.2 solve problems involving addition and subtraction through the hundred-thousands place, as well as multiplication and division of multi-digit whole numbers presented in real-life, mathematical situations using part-whole strategies (4.NR.2)
2.b interpret, model, and solve problems involving multiplicative comparisons; represent the problem with an equation using a variable for the unknown (4.NR.2.2)
2.c solve relevant problems involving multiplication of a number with up to four digits by a one-digit whole number or involving multiplication of two two-digit numbers using strategies based on place value and the properties of operations; illustrate and explain the calculation by using equations, rectangular arrays, and/or area models (4.NR.2.3)
2.d solve authentic division problems involving up to four-digit dividends and one-digit divisors (including whole number quotients with remainders) using strategies based on place-value understanding, properties of operations, and the relationships between operations; illustrate and explain the calculation by using equations, rectangular arrays, and/or area models (e.g., 373 ÷ 8 = (320 ÷ 8)+ (40 ÷ 8) + (13 ÷ 8) = 46 with 5 objects left over) (4.NR.2.4)
2.e solve multi-step problems using addition, subtraction, multiplication, and division involving whole numbers, including problems in which remainders must be interpreted; represent these problems using equations with a variable for the unknown quantity; use mental computation and estimation strategies to justify the reasonableness of solutions (4.NR.2.5)