Here are 30 pages of word problems, grouped by Problem Type/Situation and by the position of the Unknown. This makes it possible to make sure you are giving your students the opportunity to solve word problems presented with all possible arrangements of information.
The thumbnails give examples of the type of problems and the format, which requires students to write all equations they use to solve the problem. There is also an index so you easily find particular problem types. These are all original problems. With the exception of Comparison problems using a fractional multiplier (“... ¼ as many...”), they are all whole number problems.
These problems are intended for students in Grades 4-5, though third graders would be able to do many of them. I’ll be posting a separate collection of problems for students in Grades 3-4 within a couple of days.
The Problem Types and Situations are listed in tables on pp. 88-89 of the Mathematics CCSS. A copy of these tables is included.
If you’re not familiar with the possible variations in “position of the Unknown...”, here’s an example. Here are three variations on the same problem. The only difference is the Unknown – what piece of information we’re missing.
1. There are 4 rows of desks in Mrs. Ellis’ room, with 8 desks in each row. (Total is unknown)
2. There are 4 rows of desks in Mrs. Ellis’ room, and a total of 32 desks (Group size is unknown)
3. Mrs. Ellis has 32 desks in her classroom, with rows of 8. (Number of groups is unknown)
Common Core Standards:
3.OA.3: “Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities,”
3.OA.8: “Solve two-step word problems using the four operations...”
3.MD.1: “Solve word problems involving addition and subtraction of time intervals in minutes...”,
4.OA.2: “Multiply or divide to solve word problems involving multiplicative comparison...”
4.OA.3: “Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations.”
4.MD.2: “Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money...”
Subject: Math, Word problems
Level: Grades 3 – 5
Length/Duration: 30 pages of student work, 6-10 days if done consecutively
A Smart Notebook 10 file is also included.