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Unit 1 Study Guide Page 1 Name ____________________________________________ 6th Grade Everyday Math Date _______________________ Terms to know. 1) mean A middle value for a set of numbers. It is found by adding the numbers in the set and dividing the sum by the number of numbers. Ex. Math scores: 85%, 95%, 100%, 88%, 80%, 92%. Add them up = 540. Divide that by the number of scores (6). 540/6 = 90% 2) median The middle value in a set of data when the data is listed in order from smallest to largest. If there is an even number of data points, the median is halfway between the 2 numbers. Ex. Math scores: 85%, 95%, 100%, 88%, 80%, 92%. First list in order. Math scores: 80%, 85%, 88%, 92%, 95%, 100%. 88% and 92% are the middle numbers so the halfway point would be 90%. 3) mode The value or values that occur most often in a set of data. Ex. Math scores: Math scores: 100%, 95%, 100%, 88%, 80%, 92%. 100% occurs the most often in this set of data. 4) minimum The smallest amount or the least number in a set of data. Ex. Math scores: 85%, 95%, 100%, 88%, 80%, 92%. 80% is the minimum in this set. 5) maximum The largest amount or the greatest number in a set of data. Ex. Math scores: 85%, 95%, 100%, 88%, 80%, 92%. this set. 6) range 100% is the maximum in The difference between the minimum and the maximum in a set of data. Ex. Math scores: 85%, 95%, 100%, 88%, 80%, 92%. The minimum is 80%; the maximum is 100%. The range would be 20%. 7) perimeter The distance around a two-dimensional shape. 2" A formula for a parallelogram is P = 2 * (length + width) Ex. This parallelogram is 2" by 3" . 3" Either add all sides: 2 + 3 + 2 + 3 = 10" or 2 * ( 2" + 3") = 10" 8) area The measure of a surface inside a boundary. The formula for measuring the area of a rectangle is Area = Length * Width. 6" Ex. Area = 6" X 2" = 12 square inches or 12 ". 2" Unit 1 Study Guide (Will need calculator and template) Name ____________________________________________ 6th Grade Everyday Math Page 2 Date _______________________ Know how to find the mean, median, and mode of numbers. Try to find each for the numbers below. 47, 84, 57,47, 105 1) mean ______ 2) median ______ 3) mode ______ * Be able to read, interpret, and/or enter the data on the graphs given. 4) 0 1 The line plot below shows the number of correct answers scored on our last math quiz. The Xs stand for each student. There were 15 points on the quiz. 2 3 4 5 6 X X X X X X X X X X X X X X 7 8 9 10 11 12 13 What was the: Maximum score? ____; ____; Range? ____; Mode(s)? ______; X X X 14 X X X 15 Minimum score? Median? ______ ; Mean? ______ * Be able to use your Percent Circle to calculate percents on a circle or pie graph. Remember a circle graph or pie graph is divided into parts to represent the whole (100%) of the data. 5) Use your Percent Circle to graph the following sets of data by dividing the circle graph below. Write the number to show which drink each represents. Sixth Graders' Favorite Drinks 1) Soda Pop --------- 45% 2) Milk ------------- 15% 3) Iced Tea ---------- 5% 4) Fruit Drinks ------- 25% 5) Water ------------ 10% Unit 1 Study Guide Page 3 Name ____________________________________________ 6th Grade Everyday Math 6) Date _______________________ Use the line graph to answer the questions below. Average Sixth Graders' Allowance $24 $20 $16 $12 $8 $4 1950 1960 1970 1980 1990 2000 What was the average allowance in 1980? ___________ In what 10-year period did allowances increase the most? ________ to ________. How much did allowances increase from 1960 to 1990? __________ What was the average allowance in 1965? __________ 7) Find the perimeter and area of each of the figures below. 9m 6 ft. 4 in. 4 ft. 8 in. 6m Perimeter ________ Perimeter ________ Perimeter ________ Area ____________ Area ____________ Area ___________ Unit 1 Study Guide Page 4 Name ____________________________________________ 6th Grade Everyday Math 8) Date _______________________ Use the bar graph to answer the following questions. Temperature Butler's High and Low Average Temperatures 90 80 70 60 50 40 30 20 10 0 High Low Feb. March April May June July High 34 48 58 60 72 82 Low 26 34 40 48 58 62 Month What was the highest "Low Temperature" over the six-month period? ______ How much did the "high temperature" rise from June to July? ________ Which month had the greatest range between high and low temperatures? _________ In which two months did the low temperature rise by 4 degrees? _________________ to _________________ 9) Write 5 equivalent names for the number _______________________ 48.5 . a) b) _______________________ c) _______________________ d) _______________________ e) _______________________