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Fractions
 Fractions- Introduction, 3 Types, Graph I describe proper and improper fractions as well as mixed numbers.  I cover how to graph fractions using geometric shapes or number lines.  Lastly, I show how to convert between improper fractions and mixed numbers. The "Fractions - Introduction, 3 Types, Graph" link opens a sheet to help reinforce identifying the type of fraction, as well as how to graph each one.  It requires labeling by type and then matching each fraction with its graph. Sheets Used in Video Sheets Used in Video (Answer Key) Fractions - Introduction, 3 Types, Graph Fractions - Introduction, 3 Types, Graph (Answer Key) Comment is not working; I hope to fix it by early 2018.
 Fractions- Simplify (Reduce to Simplest Form) My intention is for the concepts in the next two videos to be covered in succession; the Part 1 video covers the logic of, and procedure for, simplifying fractions.  The Part 2 video addresses negatives and zeros. This "Part 1" video covers the logic of simplifying fractions.  Dividing by a "one" changes the look, but not the value of the fraction.  I cover fractions with numbers, variables, and both.  Many of the variables have exponents. The worksheet "Part 1 Video- Simplify (No Negatives or Zeros)" is intended for those who want to practice with simplifying fractions prior to doing the worksheet that includes negative fractions and zeros. Sheets Used in Videos Part 1 Video- Simplify (No Negatives or Zeros) (Answer Key)  Comment is not working; I hope to fix it by early 2018. This "Part 2" video completes my presentation on simplifying fractions.  I address how to read and deal with negatives.  Lastly, I explain why fractions with zero in the numerator yield such a different answer than fractions with zero in the denominator. This worksheet covers material from both videos; it includes negatives and zeros. Fractions- Simplify (For Both Videos) Fractions- Simplify (For Both Videos) (Answer Key) Comment is not working; I hope to fix it by early 2018.

 Fractions- Multiplication I cover six examples of "multiplying fractions," but most of these problems also involve mixed numbers and whole numbers, to describe it more precisely.  I stress the importance of reducing prior to multiplying. The "Fractions- Multiplication" sheet has three columns of four problems each.  As usual, I suggest working the first column, checking and learning from any mistakes, then taking a short break prior to working the next column.  Taking breaks and avoiding the use of notes or examples helps to move the knowledge to your long-term memory. Sheet Used in Video (Answer Key) Fractions- Multiplication Fractions- Multiplication (Answer Key) Comment is not working; I hope to fix it by early 2018.

 Fractions with Variables & Exponents- Multiplication I cover eight examples of increasing complexity.  With the last four I also indicate how to subtract exponents when dividing variables. The "Fractions with Variables & Exponents- Multiplication" link has three columns of four problems each.  Learn from mistakes, take breaks, strive to work without notes or examples; develop your long-term memory. Sheet Used in Video Sheet Used in Video (Answer Key) Fractions with Variables & Exponents- Multiplication Fractions with Variables & Exponents- Multiplication (Answer Key) Comment is not working; I hope to fix it by early 2018.