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Real Number System Unit | Fractions, Decimals, Square Roots, and Real Numbers

Rated 4.87 out of 5, based on 604 reviews
4.9 (604 ratings)
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Maneuvering the Middle
23.7k Followers
Grade Levels
7th - 9th, Homeschool
Resource Type
Standards
Formats Included
  • Zip
  • Google Apps™
Pages
90 pages
$11.50
$11.50
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Maneuvering the Middle
23.7k Followers
Includes Google Apps™
The Teacher-Author indicated this resource includes assets from Google Workspace (e.g. docs, slides, etc.).

What educators are saying

This was a great fit for my classroom. I paired the unit and activities bundle together and used the activities for review every 2 lessons, which was just right for us.
Love using these materials. They are easy to follow and set up nicely. My students use the handouts as notes for their notebooks.

Description

An 8 day CCSS-Aligned Real Number System Unit includes squares and square roots, rational vs. irrational numbers, classifying real numbers, and comparing and ordering real numbers.

Students will practice with both skill-based problems, real-world application questions, and error analysis to support higher level thinking skills. You can reach your students and teach the standards without all of the prep and stress of creating materials!

Standards: 8.NS.1, 8.NS.2, 8.EE.2; Texas Teacher? Grab the TEKS-Aligned Real Number System Unit. Please don’t purchase both as there is overlapping content.

Learning Focus:

  • approximate the value of an irrational number and locate the value on a number line
  • classify, compare, and order real numbers
  • convert between fractions and decimals and evaluate square roots

More details on what is included:

1. Unit Overviews

  • Streamline planning with unit overviews that include essential questions, big ideas, vertical alignment, vocabulary, and common misconceptions.
  • A pacing guide and tips for teaching each topic are included to help you be more efficient in your planning.

2. Student Handouts

  • Student-friendly guided notes are scaffolded to support student learning. 
  • Available as a PDF and the student handouts/homework/study guides have been converted to Google Slides™ for your convenience.

3. Independent Practice

  • Daily homework is aligned directly to the student handouts and is versatile for both in class or at home practice. 

4. Assessments

  • 1-2 quizzes, a unit study guide, and a unit test allow you to easily assess and meet the needs of your students.
  • The Unit Test is available as an editable PPT, so that you can modify and adjust questions as needed.

5. Answer Keys

  • All answer keys are included.

***Please download a preview to see sample pages and more information.***

How to use this resource:

  • Use as a whole group, guided notes setting
  • Use in a small group, math workshop setting
  • Chunk each student handout to incorporate whole group instruction, small group practice, and independent practice.
  • Incorporate our Real Number System Activity Bundle for hands-on activities as additional and engaging practice opportunities.

Time to Complete:

  • Each student handout is designed for a single class period. However, feel free to review the problems and select specific ones to meet your student needs. There are multiple problems to practice the same concepts, so you can adjust as needed.

Is this resource editable?

  • The unit test is editable with Microsoft PPT. The remainder of the file is a PDF and not editable.

Looking for hands-on classroom activities?

  • Check out the corresponding Real Number System Activity Bundle, which includes activities like scavenger hunts, find it and fix its, mazes and more to allow students to engage and practice the concepts. Win-win!

More 8th Grade Units:

Unit 1: Real Number System 

Unit 2: Exponents and Scientific Notation

Unit 3: Linear Equations

Unit 4: Linear Relationships

Unit 5: Functions

Unit 6: Systems of Equations

Unit 7: Transformations

Unit 8: Angle Relationships

Unit 9: Pythagorean Theorem

Unit 10: Volume
Unit 11: Scatter Plots and Data

More 8th Grade Activity Bundles:

Unit 1: Real Number System 

Unit 2: Exponents and Scientific Notation

Unit 3: Linear Equations

Unit 4: Linear Relationships

Unit 5: Functions

Unit 6: Systems of Equations

Unit 7: Transformations

Unit 8: Angle Relationships

Unit 9: Pythagorean Theorem

Unit 10: Volume
Unit 11: Scatter Plots and Data

Looking for more helpful teaching tips, ideas, and support? Check out Maneuveringthemiddle.com and join our online FB community MTM VIPS! 

Try out a FREE math resource! Grab your freebie here!

Licensing: 

This file is a license for ONE teacher and their students. Please purchase the appropriate number of licenses if you plan to use this resource with your team. Thank you!

Customer Service:

If you have any questions, please feel free to reach out for assistance.  We aim to provide quality resources to help teachers and students alike, so contact me before leaving feedback if you have a need. 

Maneuvering the Middle® Terms of Use

Products by Maneuvering the Middle®, LLC may be used by the purchaser for their classroom use only. This is a single classroom license only. All rights reserved. Resources may only be posted online in an LMS such as Google Classroom, Canvas, or Schoology. Students should be the only ones able to access the resources.  It is a copyright violation to upload the files to school/district servers or shared Google Drives. See more information on our terms of use here

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Total Pages
90 pages
Answer Key
Included
Teaching Duration
N/A
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Standards

to see state-specific standards (only available in the US).
Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.
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.

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