vocabulary BLOCK 1 1. Height of a two-story home: 20 feet or 20 yards 2. Weight of a fully loaded semi-truck: 2 pounds or 2 tons
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1 review BLOCK 1 vocabulary complex fraction rate ratio conversion rate conversion unit rate Lesson 1.1 ~ Measurement Choose a reasonable estimate. Explain your reasoning for each choice. 1. Height of a two-story home: 20 feet or 20 yards 2. Weight of a fully loaded semi-truck: 2 pounds or 2 tons Complete each conversion kilometers = meters 4. 6 tons = pounds. 36 yards = feet seconds = minutes 7. yards = inches ounces = cups Lesson 1.2 ~ Fractions and Decimals Convert each fraction or mixed number to a decimal _ _ _ _ _ _ 8 32 Block 1 ~ Review
2 Convert each decimal to a fraction or mixed number Martin ran 20 3_ 8 laps around a track. Jeremy ran 20.2 laps around the same track. Who ran farther? Use mathematics to justify your answer. Lesson 1.3 ~ Ratios 22. Give an example of a ratio that is greater than 1 : 1. Simplify each ratio. Write each simplified ratio in all three forms : to 21 Order each group of ratios from least to greatest. 26. _ 4, 3 to, 6 : to 3, _ 4 6, 1 : : 8, 4 to 16, Write a ratio in simplest form for each situation. 29. Eight of 10 students in the library completed the reading assignment. a. Write the ratio of students who completed the reading assignment to total students. b. Write the ratio of students who did not complete the reading assignment to total students. c. Write the ratio of students in the library who completed the reading assignment to those who did not complete the reading assignment. 30. Ten seventh graders and 1 eighth graders were selected for the elite choir ensemble. a. Write the ratio of seventh graders to eighth graders who were selected for the elite choir. b. Write the ratio of seventh graders to total students who were selected for the elite choir. c. Write the ratio of eighth graders to total students who were selected for the elite choir. 31. Fifteen boys and 1 girls were in Mr. Huff s English class third period. David says the ratio 1 : 2 describes the students in Mr. Huff s class. Al says the ratio 1 : 1 describes the students in Mr. Huff s class. Explain how both students can be correct. 12 Lesson 1.4 ~ Unit Rates Find the unit rate miles 2 hours 33. $4.7 1 gallons kilometers 10 minutes Block 1 ~ Review 33
3 3. Adrian spent $78.00 on three tickets to an amusement park. Find the price per ticket. 36. Felix ran the Boston Marathon (26 miles) in 4 hours. Find his speed in miles per hour. 37. Cleo could spend $2.00 on a package of 3 pens or $3.00 on a package of pens. Which option is the better deal? Explain your reasoning using unit rates. Lesson 1. ~ Rate Conversions Determine which rate should be used to complete each of the following conversions miles 1 hour to feet hour A. 1 mile 280 feet OR B. 280 feet 1 mile meters per second to meters per minute A. 60 seconds 1 minute OR B. 1 minute 60 seconds Write the equivalent rate. Round to the nearest tenth, if necessary. 40. Paul walks 3 miles per hour. a. How fast does he walk in feet per hour? b. Use the rate from part a. Find Paul s rate in feet per second. 41. A tree farm raises hybrid poplar trees. Hybrid poplar trees grow approximately 9 feet per year. Find the trees growth rate in inches per month. Show all work necessary to justify your answer. 42. A dog trots at a rate of miles per hour. Write this rate as feet per hour. 43. A man paddles his kayak 20 kilometers in 2 hours. Write his rate in meters per minute. Show all work necessary to justify your answer. Lesson 1.6 ~ Rates and Ratios with Complex Fractions Simplify each complex fraction _ _ 2 7 Find the unit rate _ kilometers 1_ 2 hour miles 2 1_ 2 hours 49. 1_ 2 deliveries 1_ 8 month 34 Block 1 ~ Review
4 Solve each problem. Show all work necessary to justify your answer. 0. Tyron walked 10 1_ 8 miles in 3 hours. Assume he walked at the same rate the entire trip. How fast did he walk in miles per hour? 1. A man ate 21 1_ 3 hot dogs in the first 4_ 9 of a contest. At this rate, how many total hot dogs will he eat in the full contest? tic-tac-toe ~ Body m Ass i ndex Body Mass Index (BMI) is a number used by many physicians and researchers studying obesity. Its formula considers both a person s weight as well as their height. BMI is the ratio of a person s weight in kilograms to their height in meters squared. BMI = kg m² The values for BMI and their meaning are in the table to the right. Example: A man weighs 76. kilograms (170 pounds) and is 1.82 meters tall (6 feet). Find his BMI. BMI = = This falls in the normal range. In the United States weights are usually given in pounds and heights in inches or feet. It is possible to convert between pounds and kilograms as well as inches and meters. 1 pound = 0.4 kilograms 1 inch = meters (2.4 centimeters) Convert the measurements below to the appropriate metric units to find their BMI. Find the BMI for each person. Determine their weight classification using the table above. Show all work necessary to justify your answer. 1. Sandi is feet tall and weighs 138 pounds. 2. Paul is. feet tall and weighs 100 pounds. 3. Tim is 6 feet 2 inches tall and weighs 300 pounds. 4. You. Find your height and weight and calculate your BMI. BMI Classification 18. or less Underweight Normal Overweight Obese Severely Obese 40 or greater Morbidly Obese Block 1 ~ Review 3
5 dennis meteorologist CAREER FOCUS I am a meteorologist. I speak to students, media, emergency management and customers about severe weather safety and how to obtain weather information. I also work the forecast desk and issue warnings and advisories for hazardous weather. My job helps the public know about weather that could be dangerous. If people know bad weather is coming, they can prepare for it to make sure that everybody stays safe. I use math when looking at weather trends. I use statistical analysis to look at past weather data. I often have to average high and low temperatures or calculate monthly precipitation levels. Math also helps me determine other important aspects of weather like wind speed and direction. Research meteorologists use math on a daily basis to solve complex weather problems. I can make as accurate a forecast as possible by putting all of the data together. I received a college degree in earth science with an emphasis on meteorology. I also have a minor degree in physics. Understanding physical processes is crucial in meteorology as in other physical sciences. The physical processes in the atmosphere can be explained with mathematical equations involving calculus. Anyone wanting to become a meteorologist will need to take many science and higher-level math courses. Meteorologists make a wide variety of salaries. A person starting with the National Weather Service makes about $30,000 per year. A meteorologist with years of experience can earn up to $100,000 per year or more. Meteorology helps me understand the atmosphere. This includes not only what has happened, but also what will happen in the future with the weather. It changes every day. Even in the summer, if it is not changing much here, there is always something interesting happening in the weather somewhere else. I enjoy the opportunities my career gives me to meet and work with a wide variety of interesting people from government employees and news media, to farmers, students and teachers. 36 Block 1 ~ Review
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