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 links 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.
Sum & Difference of Integers 1
Answer Key
Sum & Difference of Integers 2
Answer Key
This is a brief review of multiplication, which parentheses can indicate three different ways.
The links below open the worksheet used in this video and its answer key.
Multiplication (Sheet Used In Video)
Answer Key
This is a brief review of long division, with a little vocabulary: quotient, divisor, dividend.
The links below open the worksheet used in this video and its answer key.
Division (Sheet Used In Video)
Answer Key
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.
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” link listed below opens an additional worksheet for practice. An answer key is accessible via the link directly below it.
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 in Video)
Answer Key
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 (Practice)” link below links to an additional worksheet for practice.
Prime Numbers and Prime Factorization (Sheet in Video) Answer Key
Prime Numbers & Prime Factorization (Practice)
Answer Key
In the second video 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. 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.
Multiples, Factors & Factor Pairs (Sheet In Video)
Answer Key
Multiples, Factors & Factor Pairs (Practice)
Answer Key
Review of Prime Numbers, Prime Factorization, Multiples, Factors, & Factor Pairs
Answer Key