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ECE Math 1
| Question | Answer |
|---|---|
| attribute blocks | 5 different geometric shapes and colors. Used for sorting, patterns, and teaching attributes of geometric figures. |
| base-10 blocks | visual models in powers of 10 representing ones, tens, hundreds, and thousands. Used to teach place value, regrouping with addition and subtraction, fractions, decimals, percents, area, and volume |
| counters | comes in different shapes and sizes (bears, bugs, chips) and are used for sorting and counting |
| fraction strips | used to show the relationship between the numerator and denominator and how parts relate to the whole |
| snap cubes | snapped together and used to teach number sense, basic operations, counting, patterns, and place bqalue |
| tiles | 1 inch squares used to help in counting, estimating, place value, multiplication, fractions, and probability |
| addend | a number added to another number. Example: 4+2=6; 4 and 2 are the addends |
| sum | answer to an addition problem |
| difference | answer to a subtraction problem |
| product | the answer to a multiplication problem |
| quotient | the answer to a division problem |
| inventive strategies | methods students invent to solve complex problems (using reason and understanding to get to the end result. Some examples are partitioning and compensation. |
| standard algorithm | a specific method computation that is conventionally taught for solving math problems |
| unit rate | a rate with a denominator of 1 (60 miles per 1 hour) |
| ratio | can be written as a fraction or with a colon (example 4/3 or 4 dogs: 3 cats or 4 dogs to 3 cats) |
| commutative property of addition | a + b = b + a |
| commutative property of multiplication | a x b = b x a |
| associative property of addition | (a + b) + c = a + (b + c) |
| associative property of multiplication | (a x b) x c = a x (b x c) |
| additive identity (property of 0) | a + 0 = a |
| multiplicative identity (property of 1) | a x 1 = a |
| Inverse property of addition | a + (-a) = 0 |
| Inverse property of multiplication | a x 1/a = 1 |
| distributive property | a x (b + c) = ab + ac OR a x (b - c) = ab - ac |
| transitivity property | x = y and y = z THEN x = z |
| PEMDAS | please excuse my dear aunt sally (parenthesis, exponents, multiplication OR division - whichever comes first left to right, addition OR subtraction - whichever comes first left to right) |
| pentagon | 5 sides |
| hexagon | 6 sides |
| heptagon | 7 sides |
| octagon | 8 sides |
| inches | length of a pencil, length of a person's hand |
| feet | height of a door, length of a car |
| yards | length of a football field, a yard is about 1 meter |
| miles | length of a river, distance between cities |
| pint | beer glass, small tub of ice cream |
| quart | bottle of motor oil, a quart is about 1 liter |
| gallons | large milk jug, gasoline |
| ounces (weight) | weight of a block of cheese, weight of a paperback book |
| pounds | weight of a person, weight of a packed suitcase |
| tons | weight of a car, weight of a plane |
| meter | length around a track, length of a large swimming pool |
| liter | large bottle of soda, bottle of shampoo |
| gram | weight of a paperclip |
| centimeter | height of a person, length of a textbook |
| kilometer | driving distances |
| milliliter | liquid medications |
| kilogram | weight of a person, weight of a box of paper |
| basic metric units | meter, liter, gram |
| kilo, hecto, deca, meter/liter/gram, deci, centi, milli | King Hentry Died Drinking Chocolate Milk |
| when converting a smaller metric unit to a larger unit... | move the decimal point left |
| when converting a larger metric unit to a smaller unit... | move the decimal point right |
| 1 foot = | 12 inches |
| 1 yard = | 3 feet = 36 inches |
| 1 mile = | 5,280 feet = 1,760 yards |
| 1 hour = | 60 minutes |
| 1 minute = | 60 seconds |
| 1 cup = | 8 fluid ounces |
| 1 pint = | 2 cups |
| 1 quart = | 2 pints |
| 1 gallon = | 4 quarts |
| 1 pound = | 16 ounces |
| 1 ton = | 2,000 pounds |