3. A tennis field has length 78 feet and width of 12 yards. What is the area of the field (in square feet)?
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1 Station 1: MSG9-12.A1.NQ.1: Use units of measure (linear, area, capacity, rates, and time) as a way to understand problems; identify, use and record appr opriate units of measure within context, within data displays and on graphs. Convert units and rates using dimensional analysis. Interpret units of input and resulting units of output. 1. Convert 4.5 dkm to meters. 2. Convert 72 yards to feet. 3. A tennis field has length 78 feet and width of 12 yards. What is the area of the field (in square feet)? 4. Body Mass Index can be described as B = 703 w where w = person s weight in pounds, and h = person s height in inches. h2 What is the possible measure for body mass index? 5. Fuel Economy of a car can be described as E = m, where m = number of miles driven and g is the number of gallons of fuel g used. What is a possible unit measure for a car s fuel economy? 6. A car travels a distance of 100 feet in 2.8 seconds. What is the velocity of the car in miles per hour? Round to the nearest whole number. 7. The graph of the temperature of heated water is recorded in the graph below. What unit rate would you used to describe the growth rate of the temperature? 8. A person can walk at approximately 3.4 mph. How many feet per second can a person walk? 9. A student observes that a satellite moves 234,000 meters in one minute. He wants to convert this to km per second. Look at his work below and fill in the blank with the missing factor. 234,000 m 1 km 1 min 1000m
2 Station 1: MSG9-12.A1.NQ.1: Use units of measure (linear, area, capacity, rates, and time) as a way to understand problems; identify, use and record a ppropriate units of measure within context, within data displays and on graphs. Convert units and rates using dimensional analysis. Interpret units of input and resulting units of output. 1. Convert 4.5 dkm to meters. 2. Convert 72 yards to feet. 3. A tennis field has length 78 feet and width of 12 yards. What is the area of the field (in square feet)? 4. Body Mass Index can be described as B = 703 w where w = person s weight in pounds, and h = person s height in inches. h2 What is the possible measure for body mass index? 5. Fuel Economy of a car can be described as E = m, where m = number of miles driven and g is the number of gallons of fuel g used. What is a possible unit measure for a car s fuel economy? 6. A car travels a distance of 100 feet in 2.8 seconds. What is the velocity of the car in miles per hour? Round to the nearest whole number. 7. The graph of the temperature of heated water is recorded in the graph below. What unit rate would you used to describe the growth rate of the temperature? 8. A person can walk at approximately 3.4 mph. How many feet per second can a person walk? 9. A student observes that a satellite moves 234,000 meters in one minute. He wants to convert this to km per second. Look at his work below and fill in the blank with the missing factor. 234,000 m 1 km 1 min 1000m
3 Station 2: MSG9-12.A1.RN2: Rewrite expression involving radicals (i.e. simplify and/or use operations of addition, subtraction, and multiplication, with radicals within expressions limited to square roots). 1. Simplify Simplify Simplify Simplify Perform any necessary operations. All answers should be in simplest form Perform any necessary operations. All answers should be in simplest form Simplify The perimeter of the rectangle shown is feet. Write the answer in simplified radical form. 12 ft 108 ft 9. Perform any necessary operations. All answers should be in simplest radical form
4 Station 2: MSG9-12.A1.RN2: Rewrite expression involving radicals (i.e. simplify and/or use operations of addition, subtraction, and multiplic ation, with radicals within expressions limited to square roots). 1. Simplify Simplify Simplify Simplify Perform any necessary operations. All answers should be in simplest form Perform any necessary operations. All answers should be in simplest form Simplify The perimeter of the rectangle shown is feet. Write the answer in simplified radical form. 12 ft 108 ft 9. Perform any necessary operations. All answers should be in simplest radical form
5 Station 3: MSG.9-12.A1.NQ.3: Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. MSG.9-12.A1.RN.3: Explain why the sum or product of rational numbers is rational; why the sum of a rational number and an irrational number is irrational; and why the product of a nonzero rational number and an irrational number is irrational. 1. Jessica wants to divide $23 six ways. Her calculator shows Where should she round? a. $3.8 b. $3.80 c. $3.83 d. $ How accurately should the measurement of the length of your desktop be measured? a. To the nearest millimeter b. To the nearest centimeter c. To the nearest meter d. To the nearest kilometer 3. Which sum is rational? a b. 5 + π c d. 2 + π 4. Which is product is irrational? a. 3 9 c b d Which of the following choices below represent an irrational value? a b c. 7 d Which is an irrational number? a. 2 + ( 2) b c d Which represents a rational number? a. π 4 b. 5 c. 5.2 d
6 Station 3: MSG.9-12.A1.NQ.3: Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. MSG.9-12.A1.RN.3: Explain why the sum or product of rational numbers is rational; why the sum of a rational number and an irrational number is irrational; and why the product of a nonzero rational number and an irrational number is irrational. 1. Jessica wants to divide $23 six ways. Her calculator shows Where should she round? a. $3.8 b. $3.80 c. $3.83 d. $ How accurately should the measurement of the length of your desktop be measured? a. To the nearest millimeter b. To the nearest centimeter c. To the nearest meter d. To the nearest kilometer 3. Which sum is rational? a b. 5 + π c d. 2 + π 4. Which is product is irrational? a. 3 9 c b d Which of the following choices below represent an irrational value? a b c. 7 d Which is an irrational number? a. 2 + ( 2) b c d Which represents a rational number? a. π 4 b. 5 c. 5.2 d
Directions: Solve each problem. Write your answer as a simplified radical!
Directions: Simplify completely! 1) 7 ) 7 10 ) 5 + 6 + 7 4 7 4) 4 11 5) ( ) 6) (6w 8 w ) 7) 0 8 48 75 4 5 8) 7 (10 5 5 ) 9) 4 4 5 8 10) 90m n 11) 1) 5m 8 m 0 0 10 80 r r r 1) 5 18k m 14) 7 km 7km Directions:
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