1.2B Lesson: Rational Number Ordering and Estimation*
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1 .B Lesson: Rational Number Ordering and Estimation* Name: Period:. Wanda measured the distance across her father s farm four times and got four different lengths. Her measurements are shown in the table Distance Across Farm (km) a. To estimate the actual length, Wanda first approximated each distance to the nearest hundredth. Then she averaged the four numbers. Find Wanda s estimate. b. Wanda s father estimated the distance across his farm to be 7.8 km. How does this distance compare to Wanda s estimate?. In a galaxy far away, there is a solar system that consists of 5 planets that orbit a sun. Planets Distance from the sun (km) Diameter Axanar, Boslic 5,00, Faynos, Malur 56,000, Selay Use the table to draw a rough sketch showing the relationship of the planets to the sun. sun Using the diameters in the table, state which circle shown below corresponds to each planet. Write the name of the planet below the circle. SDUHSD Math A Honors Module # -STUDENT EDITION 8
2 . Four people have found the distance in kilometers across Nowhere Canyon using different methods. Their results are given in the table. Order the distances and plot them on the number line below. Distance Across Nowhere Canyon (km) Joana Laurie Rachel Jett Joe says that. 6 is less than.6. Do you agree? Explain why or why not. 5. Plot each fraction on the number line below. a.,,, b. 5,,, 5 c. Compare the fractions using <, >, or =. 5 5 d. What differences do you observe when comparing the fractions in part c? e. How does the number line help you determine which number is larger? 6. Classify these fractions as close to 0, close to, or close to ,,,,,,,, Close to 0 Close to Close to SDUHSD Math A Honors Module # -STUDENT EDITION 9
3 7. Order the fractions from least to greatest. Fractions:,,,,,,,, 8. Classify these fractions as close to 0, close to, close to ,,,,,,, Close to 0 Close to - Close to 9. Order the above numbers from least to greatest. Fractions:,,,,,,, ESTIMATE each of the following. Justify your answer with either words or a model. Indicate if your estimate is larger or smaller than the exact answer. Fraction Decimal Percent Justification SDUHSD Math A Honors Module # -STUDENT EDITION 0
4 Plot and label each fraction on the number line. Fill in the blank with a <, >, or = Plot each fraction on the number line. Fill in the blank with <, >, or =. How do you know your answer is correct? Justify your answer Is 0.7 to the left or right of on a number line? Explain.. Is.6 to the left or right of on a number line? Explain. SDUHSD Math A Honors Module # -STUDENT EDITION
5 Answer each of the following questions completely.. It takes Allen three-fifths of an hour to complete his math homework, five-sixths of an hour to complete his reading homework, and two-thirds of an hour to complete his science homework. Order the subjects by the time spent to complete Allen s homework by subject from least to greatest. How many hours did Allen spend total on his homework?. Maria jogged for two-fifths of a mile, Laura jogged for one-fourth of a mile, and Kaitlin jogged for three-tenths of a mile. Who jogged the greatest distance? How far did they jog altogether?. One day Bob worked 8 hours. Janet said she worked a third of the day. Liz worked 0% of the day. Did they spend equivalent portions of the day working? Explain why or why not. 5. Lisa is a radio reporter and is allowed exactly 90 seconds to relate a story. What part of a broadcast that is 0 minutes long is this? 6. A flower bulb importer advertised six varieties of tulips in a collection of 7 bulbs, with an equal number of each variety. Colors of the varieties were red, pink, maroon, yellow, white, and blue. Dorothy bought the collection. a. What part of the bulbs were yellow? b. Dorothy planted the red, white, and blue bulbs in one flower bed. What fraction of the total collection is planted in that flower bed? 7. The results of a survey of 00 families showed that 55 families only used the YMCA swimming pool, 0 families only used the YMCA tennis courts, and 5 families used both the pool and the courts. What fraction of the families surveyed used neither the pool nor the courts? SDUHSD Math A Honors Module # -STUDENT EDITION
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