The Number System

2. multiplicative reasoning as opposed to additive reasoning. It is often used when finding the better buy., sharing two items with three students, adjusting calculations of travel time with different speeds, or calculating a sale price when everything is 40% off.
3. the amount of increase expressed as a percent of the original amount.
4. ratios—ratios that have the same value
7. divide each number in the ratio by its greatest common factor; 2/6 simplifies to 1/3 by dividing 2 and 6 by 2.
9. a ratio per 100 such as 25% is 25 parts of 100.
11. Fraction—a fraction with a fraction in the numerator and/ or in the denominator.
13. ratio that compares two quantities of different units such as 3 feet per second.
15. a reduction in price
16. language used to describe a ratio relationship in number or quantity between two things such as “ For every vote A received, C nearly received 3 votes”.
19. difference between the wholesale price and the selling price
21. percentage of sales paid to a sailsperson
22. of proportionality— same as unit rate

1. a drawing that looks like a segment of tape, used to illustrate number relationships; Also known as a strip diagram, bar model, fraction strip, or length model.
5. equal ratios
6. Ratio comparing an amount to one.
8. the ratio of the error compared to the actual value. For example, my estimate was off by 7. The exact value was 35, so the percent error is 7/35 *100 =20%
10. interest—the formula is l=prt, where l is interest, p is principle, r is rate, and t is time.
12. comparison of two quantities
14. a coordinate plane, the point (0,0).
17. mathematical statement of the equality of two mathematical expressions. An equation uses a sign stating two things are equal(=).
18. number lines— two number lines used when quantities have different units to easily see there are numerous pairs of numbers in the same ratio.
20. amount a store takes off of the original price of an item. It is usually expressed as a percent or fraction.