Operations & Algebraic Thinking - 4th Grade

Use the four operations with whole numbers to solve problems.

Solve multi-step 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.

Teacher Notes
The focus in this standard is to have students use and discuss various strategies. It refers to estimation strategies, including using compatible numbers (numbers that sum to 10 or 100) or rounding. Problems should be structured so that all acceptable estimation strategies will arrive at a reasonable answer. Students need many opportunities solving multi-step story problems using all four operations.

This standard references interpreting remainders. Remainders should be put into context for interpretation. Ways to address remainders:
• Remain as a left over
• Partitioned into fractions or decimals
• Discarded leaving only the whole number answer
• Increase the whole number answer up one
• Round to the nearest whole number for an approximate result

Student Knowledge Goals
I know estimation strategies.
I know mental math strategies.
I know that a letter represents an unknown quantity.
I can represent multi-step word problems using equations and a symbol for the unknown.
I can interpret multi-step word problems and determine the appropriate operation to solve.
I can use mental math and estimation to determine the reasonableness of an answer.
I can interpret a remainder based on the context of a problem.

Teacher Lessons
Engage NY Module 3-A Overview
Engage NY Module 3-A1 - Includes printable classwork and homework
*4.OA.A.1 & 4.OA.A.2 also covered
Engage NY Module 3-D12 - Includes printable classwork and homework
4.OA.A.3 Lesson A - Includes printable classwork and homework
4.OA.A.3 Lesson B - Includes printable classwork and homework
4.OA.A.3 A&B Answers

Student Video Lessons
Learn Zillion Video Lessons
Study Jams - Word Problems to Equations
Study Jams - Reasonableness & Estimation
Study Jams - Equations & Word Problems

Online Problems, Games, and Assessments
Khan Academy - Questions and Video Lessons
Multi-Step Word Problems
Multi-Step Word Problems & Video Lessons
Multi-Step Word Problems with Estimating - Upper Level

Multi-Step Word Problems I
Multi-Step Word Problems II
4.0A.A.3 Worksheets