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8th Grade Math (Pre-Algebra) Approximating Square Roots and Repeating Decimals in a PowerPoint Presentation

This slideshow lesson is very animated with a flow-through technique. I developed the lesson for my 8th grade class, but it can also be used for upper level class reviews. This lesson teaches how to define irrational numbers, approximate square roots, approximate values of expressions involving irrational numbers, and write a repeating decimal as a fraction.

This lesson has**SKELETON NOTES**, notes that have the problem only. This will allow for the students to follow the lesson easier. There are 6 slides per page. They are in a pdf form for easy printing. I also attached the Word document for you to **EDIT**. If you won’t be doing all of the problems you can shorten what you print off for the skeleton notes.

The presentation has 48 slides with LOTS of whiteboard practice. Use as many or as few of the problems to help your students learn each concept. For more PowerPoint lessons & materials visit Preston PowerPoints.

Students often get lost in multi-step math problems. This PowerPoint lesson is unique because it uses a flow-through technique, guided animation, that helps to eliminate confusion and guides the student through the problem. The lesson highlights each step of the problem as the teacher is discussing it, and then animates it to the next step within the lesson. Every step of every problem is shown, even the minor or seemingly insignificant steps. A helpful color-coding technique engages the students and guides them through the problem (Green is for the answer, red for wrong or canceled numbers, & blue, purple & sometimes orange for focusing the next step or separating things.) Twice as many examples are provided, compared to a standard textbook. All lessons have a real-world example to aid the students in visualizing a practical application of the concept.

This lesson applies to the Common Core Standard:

The Number System 8.NS

Know that there are numbers that are not rational, and approximate them by rational numbers.

1. 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.

2. 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.

Expressions & Equations

Expressions and Equations Work with radicals and integer exponents.

2. 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.

Please note that these PowerPoints are** NOT EDITABLE**. They ** WILL NOT ** work with Google Slides or Adobe Connect. You will need the PowerPoint software.

If you need an alternative version because your country uses different measurements, units, slight wording adjustment for language differences, or a slide reordering just ask.

** Are you looking for the 8th Grade Real Numbers and the Pythagorean Theorem Bundle? ** Click here!

**This resource is for one teacher only. ** You may not upload this resource to the internet in any form. Additional teachers must purchase their own license. If you are a coach, principal or district interested in purchasing several licenses, please contact me for a district-wide quote at prestonpowerpoints@gmail.com. This product may not be uploaded to the internet in any form, including classroom/personal websites or network drives.

*This lesson contains 37 problems. Each problem in this lesson uses several pages in order to achieve the animated flow-through technique.

This slideshow lesson is very animated with a flow-through technique. I developed the lesson for my 8th grade class, but it can also be used for upper level class reviews. This lesson teaches how to define irrational numbers, approximate square roots, approximate values of expressions involving irrational numbers, and write a repeating decimal as a fraction.

This lesson has

The presentation has 48 slides with LOTS of whiteboard practice. Use as many or as few of the problems to help your students learn each concept. For more PowerPoint lessons & materials visit Preston PowerPoints.

Students often get lost in multi-step math problems. This PowerPoint lesson is unique because it uses a flow-through technique, guided animation, that helps to eliminate confusion and guides the student through the problem. The lesson highlights each step of the problem as the teacher is discussing it, and then animates it to the next step within the lesson. Every step of every problem is shown, even the minor or seemingly insignificant steps. A helpful color-coding technique engages the students and guides them through the problem (Green is for the answer, red for wrong or canceled numbers, & blue, purple & sometimes orange for focusing the next step or separating things.) Twice as many examples are provided, compared to a standard textbook. All lessons have a real-world example to aid the students in visualizing a practical application of the concept.

This lesson applies to the Common Core Standard:

The Number System 8.NS

Know that there are numbers that are not rational, and approximate them by rational numbers.

1. 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.

2. 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.

Expressions & Equations

Expressions and Equations Work with radicals and integer exponents.

2. 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.

Please note that these PowerPoints are

If you need an alternative version because your country uses different measurements, units, slight wording adjustment for language differences, or a slide reordering just ask.

*This lesson contains 37 problems. Each problem in this lesson uses several pages in order to achieve the animated flow-through technique.

Total Pages

*48

Answer Key

N/A

Teaching Duration

55 minutes

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