Fourth Grade Operations and Algebraic Thinking

Word problems, solving for unknowns, factor pairs and input/output boxes.  Just click on the blue links to display or print pdfs.

Practice Pages
Use the four operations with whole numbers to solve problems - Cluster 1

Standard 4.OA.1:  Interpret a multiplication equation as a comparison, e.g., interpret
35 = 5 x 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent
verbal statements of multiplicative comparisons as multiplication equations.

Commutative Property of Multiplication

Answers 4.OA.1.a

Write Number Sentences

Answer 4.OA.1.b

Standard 4.OA.2:  Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.

Multiplication Word Problems

Answers 4.OA.2.a

Multiplication Comparison Problems

Answers 4.OA.2.b

Standard 4.OA.3:  Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
Multi-step word problems

Answers 4.OA.3.a

Multi-step unkown quantity

Answers 4.OA.3.b

Gain familiarity with factors and multiples - Cluster 2

Standard 4.OA.4:  Find all factor pairs for a whole number in the range 1–100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1–100 is a multiple of a given one-digit number. Determine whether a
given whole number in the range 1–100 is prime or composite

Identify prime numbers

Answers 4.OA.4.a

Factor numbers

Answers 4.OA.4.b

Generate and analyze patterns - Cluster 3

Standard 4.OA.5:  Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the
rule “Add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way

Input/Output Add

Answers 4.OA.5.a

Input/Output Multiplication

Answers 4.OA.5.b