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Bell Ringer. Jackie’s hair is 7 feet 6 inches long. She wants to donate pieces to charity. She figures kids would like 10 inch pieces of her hair, so she cuts them into 10 inch pieces. How many pieces of hair can Jackie cut? Hair: 7ft 6 in = 7•12 + 6 = 90 inches Each Piece: 10 inches
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Bell Ringer • Jackie’s hair is 7 feet 6 inches long. She wants to donate pieces to charity. She figures kids would like 10 inch pieces of her hair, so she cuts them into 10 inch pieces. How many pieces of hair can Jackie cut? • Hair: 7ft 6 in = 7•12 + 6 = 90 inches • Each Piece: 10 inches • Total Number of Pieces: 90 ÷ 10 = 9 pieces of hair!
Homework • Solution • 28 years old • $14 • 6 each w/4 left • 430 miles • 112 books • Alonzo = 30 pts. Jabriel = 10 pts. • Expression • 2x • 3x – 1 • x/6 • 2x + 30 • 5x – 3 • Alonzo = 3j Jabriel = 2s
Midterm Quarter 1
Midterm -30 multiple choice word problems. 3rd Period – Monday 4th Period – Tuesday -You may use one sheet of notes, a calculator, and a pen/pencil. Nothing else may be on your desk.
a. Adding, subtracting, multiplying, and dividing whole numbers, decimals, and fractions. • Xuan has $300. She bought a pair of shoes for $55.50 and a pair of jeans for $45.25. How much money will she have left? • 300 – (55.50 + 45.25) = • Felicia ate ¼ of a the cake. Araceli ate 1/3 more than Felicia. How much of the cake did Araceli eat? • 1/4 + 1/3 = $199.25 7/12 3/12 + 4/12 =
b. Converting simple units of measurements. (feet to inches, quarts to pints, etc.) • Artezia’s tree is 8 feet high. She is 57 inches tall. How much taller is the tree than Artezia? (1 ft = 12 inches) • Tree: 8 ft • 12 in = 96 inches • Tree – Artezia = 96 – 57 = • The tree is 39 inches taller than Artezia!
c. Greatest Common Factor and Least Common Multiple • What is the greatest common factor of 20 and 24? • 20: 1, 2, 4, 5, 10, 20 • 24: 1, 2, 3, 4, 6, 8, 12, 24 • What is the least common multiple of 6 and 9? • 6: 6, 12, 18, 24, 30, 36 • 9: 9, 18, 27, 36
d. Identifying place value • In the number 45,768,310.29 what is the place value of the digit 8? • Thousands • What is the value of the digit 9? • Hundredths
e. Performing calculations from graphs and tables. How many total points did the boys score? 8 + 15 + 16 + 5 + 7 = 51 points What is the boys’ average points scored? 51 ÷ 5 = 10.2 points per game.
f. Finding the mean, median, and mode from a list of numbers or a frequency table. • Last week Kyla ate 6, 9, 2, 4, 2, 5, and 1 cookies. What is the mean, median, and mode of the number of cookies Kyla ate? Mean: 29/7 = 4.14 Median: 4 Mode: 2 What is the difference between the median and mode? 4 – 2 = 2 Mean: 47 ÷ 18 = 2.61 hrs What is the mean, median, and mode number of hours worked? Median: 3 3 10 18 16 Mode: 3
g. Express fractions in lowest terms. • Tom got 18 out of 30 correct on his exam. What fraction (in lowest terms) did Tom get correct? • 18/30 = 3/5
h. Converting between decimals, fractions, and percents. • Chelsea’s tests scores were 92%, 89.6%, 79%, 92.3%, and 87%. Convert her test scores to decimals. • 0.92, 0.896, 0.79, 0.923, and 0.87
i. Ordering whole numbers, decimals, fractions, and percents. • Chelsea’s tests scores were 92%, 89.6%, 79%, 92.3%, and 87%. Convert her test scores to decimals and order from least to greatest. • 0.79, 0.87, 0.896, 0.92, and 0.923
j. Solve simple one or two step problems. • Jamil drove a taxi cab. For the first 25 miles, he charged $0.50 a mile. After that, he charged $0.25 a mile. If Jamil drove a customer 70 miles, how much did he charge him? • First 25 miles: 25 miles • 0.50 = $12.50 • Other miles: 45 miles • 0.25 = $11.25 • Total: $23.75
k. Find the possible factors of a number. • Briana had $40. She distributed the money amongst her sisters evenly without any money left over. How many sisters could she possibly have? • Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40 • So she could have either 1, 2, 4,…etc. number of sisters.
l. Find the missing data value when given the average and all other data values. • Chris scored 78, 89, 87, and 77 on his first four tests. He wanted an 85 average. What must he score on his next test to earn an 85 average? • 85 average: 85 • 5 = 425 points • Current Pts: 331 points • Needs: 425 – 331 = 94 on his next test
m. Perform two step conversions. • Darius drank 3 quarts of water. How many cups of water did he drink? (1 qt = 2 pt, 1 pt = 2 cups) 3 qt 1 2 pt 1 qt 2 cups 1 pt 3• 2 • 2 1• 1 • 1 ● = ● 12 cups