Irrational Numbers Square Roots Scientific Notation 8th Grade Math Workshop

Smith Curriculum and Consulting
Grade Levels
8th, Homeschool
Resource Type
Formats Included
  • PDF
8 Activities; 48 pages
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  1. Are you looking for Math Workshop Activities to use in your classroom that will not only allow you to make the best use of your planning time but also allow you to easily implement Math Workshop because the planning is already done for you?**Want to know more? Check out the video here to learn more
    Price $48.00Original Price $60.00Save $12.00


Are you looking for Math Workshop Activities to use in your classroom for Irrational Numbers, Square Roots, and Scientific Notation that will not only allow you to make the best use of your planning time but also allow you to easily implement Math Workshop because the planning is already done for you?

**Want to know more? Check out the video here to learn more about the Math Workshop Concept-Based Activities!**

Within this Weekly Unit, you will find 8 activities provided to you for you to pick and choose, or even allow a choice among your students to determine which activities they want to work on each week.

These low-prep activities will also allow you to spend less time prepping each week and more time spending time with your students in Guided Math, having math conferences, or assessing students.

After many years of using Math Workshop, I dreamt about having a year-long product that was done for me and I could simply pull the activities as needed and this was the culmination of this idea.

Included in This Download for Week Two Irrational Numbers, Square Roots and Scientific Notation:

  • Cover for Teacher Book (can be printed and slipped in a binder or used as a cover in a bound book)
  • Labels for Each Activity (with TEKS, CCSS, OAS and no standards included)
  • Teacher Instructions for Each Activity with Information for Preparing each Activity as well as Materials Needed
  • EIGHT Activities for Irrational Numbers, Square Roots and Scientific Notation
  • Each Activity Includes Student Directions cards and Printable Components for each activity

Interested in the Math Workshop FREE Sampler including EIGHT trial activities? Grab the Sampler and check it out today!

Activities INCLUDED in the Week Two Activity Bundle ARE:

  • Approximating Non-Perfect Square Root Diamonds
  • Cheese Cracker Square Roots
  • Square Root Maze
  • Let's Fix the Error
  • Real Number System Card Sort
  • Square Roots I Have, Who Has
  • Scientific Notation Bing
  • Scientific Notation Dice Drop

Interested in Upgrading and buying the FULL YEAR of Eighth Grade Math Workshop at once? Check out this bundle with all of the details!


→ Did you know that you can get CREDITS for future purchases by leaving feedback on each of your purchases? Simply navigate to the My Purchases page and next to each download you will be able to leave a star rating and comments about the activities you have purchased. I truly value your feedback and consider each and every word left.


Personal Copyright: The purchase of this product allows you to use these activities in your personal classroom for your students. You may continue to use them each year but you may not share the activities with other teachers unless additional licenses are purchased. The license for this purchase is NON-TRANSFERABLE. Site and District Licenses are also available.

4mulaFun®, Flippables™, and Solve and Snip™ are trademarks of Smith Curriculum and Consulting (formerly FormulaFun Inc. dba 4mulaFun), and are registered in the United States and abroad. The trademarks and names of other companies and products mentioned herein are the property of their respective owners. Copyright © Smith Curriculum and Consulting, Inc. All rights reserved.

DISCLAIMER: With the purchase of this file you understand that this file is not editable in any way. You will not be able to manipulate the lessons and/or activities inside to change numbers and/or words.

Total Pages
8 Activities; 48 pages
Answer Key
Teaching Duration
1 Week
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to see state-specific standards (only available in the US).
Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π²). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.
Use square root and cube root symbols to represent solutions to equations of the form 𝘹² = 𝘱 and 𝘹³ = 𝘱, where 𝘱 is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.
Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. For example, estimate the population of the United States as 3 × 10⁸ and the population of the world as 7 × 10⁹, and determine that the world population is more than 20 times larger.
Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.
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.


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