Radicals & Exponents

Radicals & Exponents8th GradeMAT Technology ModulesGabrielle BurkartSpring 2017

Common Core Standards Grade 8 Expressions & Equations

CCSS.MATH.CONTENT.8.EE.A.1Know and apply the properties of integer exponents to generate equivalent numerical expressions. CCSS.MATH.CONTENT.8.EE.A.2Use square root and cube root symbols to represent solutions to equations of the formx 2=pandx 3= p, wherepis a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that 2 is irrational.

These are the Common Core standards relating to my topic. 2

Technology RationaleEspecially in todays ever changing society, technology is important to incorporate into the classroom. Students are constantly surrounded by technology, so it is important to show them how it can be used to help them learn. Using technology in math lessons allows students to play interactive games and learn the material in a fun and engaging way. The resources in this presentation are all very beneficial to teachers and can help them to accommodate all of the different learners in their classroom.

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Evaluation of Internet ContentThe websites used throughout this presentation are all reliable and connect with the topic of teaching exponents and radicals.All source URLs are cited in the notes section of each slide.Images are hyperlinked and will take you directly to the respective websites when clicked on in presentation mode.

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Blogs About Exponents

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The Math Equals Love Blog (pictured left) provides a lot of great examples for teachers on how to introduce the topic of exponents and exponent rules to your class. It also provides teachers with steps for their students to create a book of exponent rules to keep with them. This allows them to put their own touch on things and have a useful picket guide of all the rules in case they forget any.

The Dont Panic, The Answer is 42 Blog (pictured middle) has a multitude of worksheets. They recommend giving out one each day to gradually build up the lesson and work through all of the exponent properties and rules.

The How to Introduce Exponents Blog (pictured right) creates different stations for students to go through while they learn about exponents. This gives the teacher a chance to reach all of the different learners in the class since it would not just be taught through a lecture.

URLhttp://mathequalslove.blogspot.com/2013/10/ms-hagans-book-of-exponent-rules.htmlhttp://dontpanictheansweris42.blogspot.com/2012/01/i-feel-like-getting-up-onto-my-little.htmlhttp://www.mathgiraffe.com/blog/introducing-exponents5

Blogs About Radicals

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The Math Equals Love Blog (pictured left) provides a lot of helpful tricks for teaching your students radicals. The blog includes many helpful charts, rules, and examples that students can keep in their notebooks or binders and use to help them on homework or to study.

Mrs. Adwallas Blog (pictured right) contains a creative simplifying radicals game that students can play using a deck of cards. This could create a competitive atmosphere for students and give them a chance to show off what they have learned. Students could also make this even more fun by forming teams and working together to solve the problems.

URLhttp://mathequalslove.blogspot.com/2013/11/radical-radicals.htmlhttps://mswagnersclass.wordpress.com/2012/10/25/a-game-for-practicing-simplifying-radicals/6

Instructional Videos

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Khan Academy is a great resource for both students and teachers. There are numerous videos and practice tests for students to help them really understand the material. Teachers can also find these useful by incorporating them into their lessons. For example, these two videos on exponents and radicals break down the problems step by step and make things easier for students to understand.7

Video Lessons

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The Math Antics channel on YouTube is another great video resource for teachers. The two videos included, Intro To Exponents and Exponents & Square Roots, are a great addition to any lesson and give students a chance to learn from someone other than the teacher. 8

Internet ResourcesThe Mathematical Association of America provides information for teachers on how to revitalize their curriculum as well information about mathematics competitions for middle and high school students to enter.

*Clicking on the name of the organization while in Presentation Mode will link directly to the respective website

URLshttp://www.maa.org/9

Internet ResourcesThe American Mathematical Society hosts conferences and educational programs for teachers and professors to learn more about their field. They also provide grants for them to conduct their own research. There is a student program as well that hosts competitions and shows them how to enjoy math outside of the classroom.

*Clicking on the name of the organization while in Presentation Mode will link directly to the respective website

URLhttp://www.ams.org10

Internet ResourcesThe School Science and Mathematics Association

hosts conventions for those in the filed of STEM education, and gives teachers a chance to learn from one another about what works best in their classroom.

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URLhttp://ssma.org/11

Inspiration

This graphic organizer that I created on Inspiration can add a visual aspect when teaching about exponents. After being introduced to exponents, students could fill out the blanks in this diagram using their newly learned knowledge. It enhances student understanding because it allows them to convey their understanding through words as well as by completing examples. 12

Teaching Materials

Math Chimp has a variety of games for each math topic and grade level including Otter Rush which is a race to solve exponents and Who Wants to be a Millionaire? which is a timed quiz solving radicals. Games like these makes things more fun for students while they learn.

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URLhttp://www.mathchimp.com/8.3.1.php13

Teaching Materials

Apps can be a great addition to the classroom! This MathToons quiz app gives students a chance to practice their skills with radicals and exponents and learn from their mistakes.

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URLshttps://play.google.com/store/apps/details?id=com.mathtoons.thump.exponentsradicals&hl=en14

Teaching Materials

Math-Aids is another great resource for teachers that provides a variety of worksheets ranging in difficulty. This gives students a chance to solve more challenging problems and show that they really understand the material.

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URLhttp://www.math-aids.com/Radicals/

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Teaching Materials

Pinterest can provide a wide variety of materials for teachers. For exponents and radicals, there are a variety of worksheets, lesson plans, and games such as the one pictured to the right called Exponent Matching which allows students to work on matching exponential forms.

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URLhttps://www.pinterest.com/pinningteacher/teaching-exponents/

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Subject-Specific Internet-Based ResourcesA+ Math provides a lot of resources for students and teachers on every math topic including flashcards, worksheets, and games.Interactive Mathematics Investigations contains lessons and interactive games that allow students to learn things as they progress and have fun at the same time.

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Both of these resources contain information on exponents and radicals and could easily be incorporated into lesson plans.

URLhttp://www.aplusmath.com/http://illuminations.nctm.org/17

Uses Of The Internet

Ten Marks is a great resource for teachers when it comes to lesson planning, and specializes in math. It also has differentiated instruction methods so that you can reach all of the different learners in your classroom. It is also designed to align around Common Core standards.

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URLhttps://www.tenmarks.com/18

Uses Of The Internet

Wolfram Education is a great resource for both teachers and students. For students, it gives them a chance to practice solving computations. For teachers, it provides them with programming applications to model things in their classroom.

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URLhttp://www.wolfram.com/education/elementary-schools/19

Web 2.0IXL is an interactive app and website that allows students to practice Common Core standards for many subjects. For exponents and radicals, there are questions varying in difficulty that help students to master the material. Teachers then get feedback on student progress so that they know who is struggling and with what concepts.

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By using IXL, teachers can get instant feedback on whether or not their students understand the material. This also gives them chance to collaborate with one another by tailoring the difficulty of the questions to each students needs. Because this is interactive, students can have competitions in class using phones or by writing the answers down and holding them up. This will then add to overall student engagement.

URLhttps://www.ixl.com/20

SlideShare

Thanks for watching!This presentation can also be viewed on SlideShare!

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