These are links to pages.→   Arithmetic      Algebra      Fractions      Decimals      Ratio, Proportion, & Percent      Exponents      Factoring     Graphing 

      Arithmetic                                                               
                         Addition & Subtraction
                         Multiplication
                         Division
                         Exponents & Powers of Ten
                         Square Roots & Cube Roots
                         Order of Operations
                         Prime Numbers & Prime Factorization
                         Multiples, Factors, & Factor Pairs

Addition & Subtraction
I describe how to add and subtract positive and negative numbers
(no fractions or decimals).  The key is learning to read the
shorthand of math so you never have to ask:
Is that a minus or a negative?
Do I add or subtract?
What's the sign of the answer?

 
The hyperlinks (blue text) below link to problems for practice
with the concepts covered in the video.  Directions on the
worksheets indicate a strategy for using them.  The strategy is
intended to help you reinforce and retain the concepts. 
I suggest NOT doing all of the problems in one sitting: you
need breaks of increasing duration to move the concepts from
your short term memory to your long-term memory. 
Comment is not working; I hope to fix it by late 2017.

 
Detailed answer keys are always provided for each worksheet.

Sum & Difference of Integers #1
Sum & Difference of Integers #1 (Answer Key)

Sum & Difference of Integers #2
Sum & Difference of Integers #2 (Answer Key)
 

Rules for Addition & Subtraction
Rules for Multiplication (same for Division)
Note: I suggest printing the Rules for Multiplication on yellow or green paper; this will help to keep the Multiplication Rules seperate and distinct in your mind from the Rules for Addition & Subtraction. Writing the rules also helps.
 

 Back to Top

Multiplication
This is a brief review of multiplication, which parentheses can indicate three different ways. The hyperlinks below open the worksheet used in this video and its answer key.
 
Multiplication (Sheet Used in Video)
Multiplication (Sheet Used in Video) (Answer Key)





Comment is not working; I hope to fix it by late 2017.
Back to Top
 
Division
This is a brief review of long division, with a little vocabulary: quotient, divisor, dividend. The hyperlinks below open the worksheet used in this video and its answer key. 
 
Division (Sheet Used in Video)
Division (Sheet Used in Video) (Answer Key)






Comment is not working; I hope to fix it by late 2017.
  Back to Top

Exponents & Powers of 10
This is an introduction to the meaning of exponents, and how to simplify or evaluate numbers with exponents.  Also, I cover powers of ten and I introduce the zero exponent. Lastly, I briefly mention why zero exponent values always go to 1. You may want to print the Sheets Used in Video to take notes while watching the video. The Exponents & Powers of 10 worksheet has three columns of similar problems for practice. You should work one column, check and understand any mistakes, and then pause some minutes or hours before attempting the next column. Such breaks help to move knowledge from your short-term memory to your long-term memory.
 
Sheets Used in Video
Sheets Used in Video (Answer Key)


Exponents & Powers of 10

Exponents & Powers of 10 (Answer Key)

Comment is not working; I hope to fix it by late 2017.
Back to Top

Square Roots & Cube Roots
I cover several examples of finding square roots and combining numbers under the "radical symbol" prior to finding the root.  I cover a few examples of these concepts with cube roots as well.  I finish with some cases of dealing with negative signs in front of the radical and under the radical. The "Square Roots & Cube Roots" hyperlink listed below opens an additional worksheet for practice.  An answer key is accessible via the button directly below it.
Sheet Used in Video
Sheet Used in Video (Answer Key)


Square Roots & Cube Roots
Square Roots & Cube Roots (Answer Key)




Comment is not working; I hope to fix it by late 2017.
Back to Top

Order of Operations
I describe the order of operations and then demonstrate how to use it in six examples.  (I do 6 of the 12 problems on the sheet "Order of Operations #1 (Sheet Used in Video)." The complexity ranges from addition and multiplication to parentheses, nested parentheses, exponents, and radical signs. In the video, I do 6 of the 12 problems on sheet #1. "Order of Operations #2" is an additional worksheet for practice.
 
Order of Operations Rules (Rules Sheet)



Order of Operations #1 (Sheet Used in Video)
Order of Operations #1 (Sheet Used in Video) (Answer Key)


Order of Operations #2
Order of Operations #2 (Answer Key)


Comment is not working; I hope to fix it by late 2017.
Back to Top

Prime Numbers & Prime Factorization         Multiples, Factors, & Factor Pairs  
My intention is for the concepts in these next two videos to be learned in succession; the second video assumes familiarity with concepts in the first video.
I describe the meaning of prime numbers and how to find the prime factorization of numbers that are not prime. (Numbers that are not prime are called "composite."  Except zero and one, which are neither.) The "Prime Numbers & Prime Factorization" hyperlink below links to an additional worksheet for practice. 
 
Sheet Used in Video
Sheet Used in Video (Answer Key)


Prime Numbers & Prime Factorization
Prime Numbers & Prime Factorization (Answer Key)



Comment is not working; I hope to fix it by late 2017.
I describe the meaning of multiples, factors, & factor pairs and go over quite a few examples of each. (These concepts are extremely useful when learning to factor trinomials.)
"Multiples, Factors & Factor Pairs" links to an additional worksheet for practice.
 
Sheet Used in Video
Sheet Used in Video (Answer Key)


Multiples, Factors, & Factor Pairs
Multiples, Factors, & Factor Pairs (Answer Key)



Comment is not working; I hope to fix it by late 2017.
This last worksheet is for a final review after the previous worksheets (both Primes and Multiples) have been completed.  You should strive to do these problems without looking at notes or examples; this helps to shift your knowledge from short term memory to long term memory.
Review Sheet for Two Previous Videos
Review Sheet for Two Previous Videos (Answer Key)


Comment is not working; I hope to fix it by late 2017.
Back to Top