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Operations with Rational Numbers: Real World Word Problems Task Cards/Worksheets

Rated 4.85 out of 5, based on 13 reviews
4.9 (13 ratings)
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The Three Squared Teacher
36 Followers
Grade Levels
5th - 12th
Subjects
Standards
Formats Included
  • PDF
$3.75
$3.75
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The Three Squared Teacher
36 Followers

What educators are saying

These were great problems to help my students prepare for an upcoming test. Challenging, yet attainable!
This was a great resource. I appreciate the questions being leveled and all student were able to have access to the problems.

Description

Available as a digital version and printable version.

Operations with Rational Numbers Word Problems is practice for students learning how to solve multi-step real world problems that include adding, subtracting, multiplying, and dividing with positive and negative whole numbers, fractions, and decimals.

There are 36 word problems with multiple levels of differentiation and a variety of contexts including money, elevation, temperature, time, and sports.

Levels

There are six levels of differentiation: three levels of problems with six problems included at each level. Each problem includes an extension for further differentiation.

Level A includes one-step word problems with integers then builds to two-step word problems with fractions and decimals in the extensions. Level B includes one-step or two-step word problems with fractions and decimals then builds to multi-step word problems with fractions and decimals in the extensions. Level C includes multi-step word problems with fractions and decimals then builds to more challenging multi-step word problems with unit rates, percents, and averages in the extensions.

Formats

The printable version includes two formats: color-coded task cards or worksheets.

All digital versions are editable so that you can customize to meet the needs of your students.

What Is Included

  • Operations with Rational Numbers Word Problems Task Cards (Digital: Google Doc)
  • Operations with Rational Numbers Word Problems (Digital: Google Doc)
  • Operations with Rational Numbers Word Problems (Digital: Google Slides)
  • Operations with Rational Numbers Word Problems (Printable: PDF)
  • Answer Key

Questions and Feedback

Please feel free to reach out to me with any questions or with any feedback.

Thank you!

Total Pages
Answer Key
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Standards

to see state-specific standards (only available in the US).
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
Solve real-world and mathematical problems involving the four operations with rational numbers.
Make sense of problems and persevere in solving them. Mathematically proficient students start by explaining to themselves the meaning of a problem and looking for entry points to its solution. They analyze givens, constraints, relationships, and goals. They make conjectures about the form and meaning of the solution and plan a solution pathway rather than simply jumping into a solution attempt. They consider analogous problems, and try special cases and simpler forms of the original problem in order to gain insight into its solution. They monitor and evaluate their progress and change course if necessary. Older students might, depending on the context of the problem, transform algebraic expressions or change the viewing window on their graphing calculator to get the information they need. Mathematically proficient students can explain correspondences between equations, verbal descriptions, tables, and graphs or draw diagrams of important features and relationships, graph data, and search for regularity or trends. Younger students might rely on using concrete objects or pictures to help conceptualize and solve a problem. Mathematically proficient students check their answers to problems using a different method, and they continually ask themselves, "Does this make sense?" They can understand the approaches of others to solving complex problems and identify correspondences between different approaches.
Model with mathematics. Mathematically proficient students can apply the mathematics they know to solve problems arising in everyday life, society, and the workplace. In early grades, this might be as simple as writing an addition equation to describe a situation. In middle grades, a student might apply proportional reasoning to plan a school event or analyze a problem in the community. By high school, a student might use geometry to solve a design problem or use a function to describe how one quantity of interest depends on another. Mathematically proficient students who can apply what they know are comfortable making assumptions and approximations to simplify a complicated situation, realizing that these may need revision later. They are able to identify important quantities in a practical situation and map their relationships using such tools as diagrams, two-way tables, graphs, flowcharts and formulas. They can analyze those relationships mathematically to draw conclusions. They routinely interpret their mathematical results in the context of the situation and reflect on whether the results make sense, possibly improving the model if it has not served its purpose.

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