Comparing Bits and Pieces Unit Test Study Guide Key Words Comparison statement Equivalent ratios Mixed number Ratio Absolute value Opposites Percent Equivalent fractions Improper fraction Rate table Unit rate Benchmarks Rational number Concepts & Skills You will need to demonstrate knowledge of the following skills: - Use ratio language and notation to compare quantities. - Distinguish between fractions as numbers and ratios as comparisons. - Think of fractions and decimals as both locations and distances on the number line. - Move flexibly among fraction, decimal, and percent representations (be able to change from one form to another). - Find absolute values and opposites, and use them to describe real-world quantities. - Use fraction, decimal, and percent benchmarks to estimate numbers. - Use context, models, drawings, or estimation to reason about situations. - Use equivalence of fractions and ratios to solve problems. - Use rate tables and unit rates to solve problems. Work on practice problems below and on the back. Then check for answers on Ms. Kasai’s website after 6 pm on Thursday. Practice Problems 1. Name the point to which the arrow is pointing in fraction AND decimal form. 0 1 2 2. If the ratio of minutes spent on homework to the number of weeknights is 120 to 5, what is the unit rate of homework per night? 3. The ratio of students with blonde hair to total students in the class is 8 to 24. a. What fraction of the class is blonde? What percent is blonde? b. What fraction of the class is not blonde? What percent is not blonde? 4. Write each of the following ratios as a fraction, decimal and percent. Ratio Fraction 23 of 25 days were sunny 21 of 28 questions were correct 5. Arrange these numbers from least to greatest: 6. Arrange these numbers from least to greatest: Decimal Percent 7. Insert >, <, or = to show the relationship between each pair of fractions. Explain your reasoning. a. b c. 8. For each set of numbers, circle the values that are equivalent. a. b. c. 9. Below are two enlarged pictures of a turtle pin and a centimeter ruler. a. Write the length of the turtle to the closest tenth of a centimeter. b. How long is the turtle in millimeters? (There are 10 millimeters in a centimeter.)