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7th CCSSM Ratios
7th COMMON CORE MATH CCSSM Ratios COMPLETE
| Term | Definition |
|---|---|
| unit rates | The ratio of two measurements in which the second term is 1 The two measurements involved for which ratio are taken in unit rate is always different. Example : if Nancy earns $180 in 20 hours, then unit rate of her earning is given as 180/20 = $9 per hou |
| ratios | a comparison of two numbers by division |
| proportion | says that two ratios (or fractions) are equal/equivalent . Example: 1/3 = 2/6; an equation written in the form; In other words, two sets of numbers are proportional if one set is a constant times the other. |
| proportional relationships | When two quantities always have the same size in relation to each other. In other words they have the same ratio. e.g.: A rope's length and weight are in proportion. When 20m of rope weighs 1kg, then: 40m of that rope weighs 2kg; 200m of that rope weigh |
| percent | is a ratio that compares a number to 100; means parts per hundred. symbol is '%'. Examples: 53 out of 100 = 53 percent or 53%; 0.5 out of 100 = half percent or 0.5% |
| constant of proportionality | he value that relates the two amounts; a quantity x is proportional (directly) to another quantity y, then x is written as x = ky, where k is called the ____________; |
| simple interest rate | Interest calculated as a percent of the original loan; Example: a 3-year loan of $1,000 at 10% costs 3 lots of 10% So the interest is 3 × $1,000 × 10% = $300 the interest calculated only on the principal regardless of the interest earned so far. The fo |
| complex fraction | a fraction that has one or more rational expressions in the numerator and/or denominator; a fraction that has one or more fractions in the numerator and/or denominator. |
| principal | The total amount of money borrowed (or invested), not including any interest or dividends; Example: Alex borrows $1,000 from the bank. The Principal of the loan is $1,000. |
| tax | money that the government collects based on income, sales, and other activities. Example: Alex earned $300 but had to pay $42 of that to the government as tax. |
| discount | reducing the price or value of an object or item. Regular price minus Sale price gives the amount of discount. If the discount is given in percent, then the amount of discount can be found by using the formula, Amount of Discount = Regular Price × Rate o |
| markup | an amount added to the cost price to determine the selling price |
| markdown | a lowering of price; the amount by which an original selling price is reduced |
| gratuity | something given voluntarily or beyond obligation usually for some service; especially A TIP |
| commission | A fee paid for services, usually a percentage of the total cost. Example: Jack's Gallery sold Amanda's painting for $500, so Amanda paid them 10% commission ($50). |
| fee | a fixed charge; a sum paid or charged for a service |
| percent of error | The difference between Approximate and Exact Values, as a percentage of the Exact Value |
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