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Arithmetic Action www.MaxLearning.Net |
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Arithmetic is Greek for “art and skill with numbers.” Math is Greek for "method." Humans practice their Arithmetic skills using Math methods. Traditionally, we manipulate numbers and symbols with pencil and paper using techniques that are hundreds of years old. Yet surprisingly, in an age of advanced mathematics, the most common math mistakes, even for professionals, continue to be simple arithmetic errors! |
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| Topic | Text | Video |
| Mental Math Materials | ||
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Mental
Math
Cover * The front cover lists the major topics: Addition Attaches, Subtraction Steals, Multiplication Magnifies, Division Dissolves, Exponentiation Expands, and PEMDAS Prioritizes. * The back cover answers the question: Why Mental Math? |
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Mental Math FunBook Mental Math generally refers to arithmetic done in one's head without pencil and paper. This FunBook contains tips and tricks to improve speed and accuracy with numbers. But it also expands the concept of "mental" by weaving stories and movement into traditional techniques. This handout starts with the Table of Contents and ends with the Answer Key. |
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Mental Math Slides These slides summarize the main topics from the Funbook and are suitable for overhead projection. |
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A Tale of Two Snowmen The standard saying is "Two negatives make a positive," but it's not always true. In three situations they do. In two situations they don't. Do you know which is which? |
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| Addition | ||
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Elevator Addition Comparing addition to sorting grain, this technique makes adding tall columns of multi-digit numbers a snap! |
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| Subtraction | ||
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Borrow &
Spend Subtraction Subtracting multi-digit numbers can be as much fun as shopping. But when you're short of cash, it's nice to have generous friends. |
 2 pages |
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| Multiplication | ||
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Times Table Tricks & Tales Master your Times Tables, the key to "fast addition." Click for Teaching Notes. |
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Popcorn
Multiplication Multiplying multi-digit numbers is like popcorn popping at the movie theater. Yummy! |
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Smash & Add Impress your family and friends by multiplying 11 times any 2-digit number...in your head! Then show them the trick! |
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 1:49 minutes |
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Same-Ten Trick Magically multiply any numbers that begin with the same digits and whose last digits add to ten. 25×25, 34×36, 43×47, 52×58, 91×99, 105×105.... |
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| Division | ||
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Rainbow
Division -
Part 1 Follow the rainbow to the pot of gold for long division of multi-digit numbers. Can you guess which one of the four basic operations ( + – × ÷ ) is not used in long division? |
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Rainbow
Division -
Part 2 Traps & Tips: Learn what to do if numbers don't "fit" or if you guess too high or too low. Round & estimate to improve guessing. What is "short" division? Explore three ways to handle remainders. |
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| Exponentiation | ||
| PEMDAS | ||
