# Open Ended Integer Problems Worksheets

What Are Open Ended Math Problems? Open-ended math problems are problems that have more than one possible answer. These problems might present an end result and then ask students to work backward to figure out how that end result might have been achieved or they might ask students to compare two concepts that can be compared in a variety of different ways. But whatever way they are presented, the purpose of open-ended math problems is always to encourage students to use higher order thinking skills to solve problems and understand that some problems can be solved in many ways, with many outcomes. If you teach pre-k or kindergarten, an open-ended math problem might be: "You have 2 shapes that have a different amount of sides. What 2 shapes could you have? Show and name the shapes." You would provide them with crayons, paper, pattern blocks, or whatever other manipulative they might be used to using when discussing shapes and students would use these manipulatives to come up with as many answers as they can. Your little ones may answer with a variety of answers based on their current skill level. You may get answers like "triangle and square", "hexagon and parallelogram", or "a circle is a shape" depending on what each student knows about shapes. This is a great way to reinforce what students already know and to quickly assess where they are in their knowledge.

• ### Basic Lesson

Demonstrates how to look for multiple methods of operations to arrive at the same answer. There are two ways to get from 21 and 36 using addition or its inverse. What are they?

• ### Intermediate Lesson

Shows students how to tackle open ended integer word problems. Give 2 integers whose product is more than zero and whose sum is 26.

• ### Independent Practice 1

Contains 20 open ended integer problems. Answer keys are provided below. Example: Give 3 integers whose product is less than zero and whose sum is -28.

• ### Independent Practice 2

Features 20 open ended integer operation word problems.

• ### Homework Worksheet

Features 12 problems that are great for working on at home. Provides a full example.

• ### Skill Quiz

10 open ended Integer questions. Scoring matrix is provided.

• ### Lesson and Practice Answer Key

Answers for the lesson and practice sheets.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

#### Sometimes numbers just don't obey.

Take for instance calculating the hours of the day and the days of the week. Sometimes they just don't work like other numbers. Why? Because they have limits. Unlike regular numbers which go to infinity they have a beginning and an end: a clock has 60 minutes and a day has 24 hours. That's it.