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# 6th Grade Data Analysis & Probability Skills Prior Standards Implementation

### Data Analysis and Probability

Determine the mean of a data set.
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Determine the mode of a data set.
6.5.1
DP
1. All That Data - use range, mean, median, and mode 2. All That Data Two - describe graphs in terms of range, measures of central tendency, and distribution 3. An Overview of Mean, Median, and Mode
4. Basketball Debate - explore the meaning of average (or mean) and relate these concepts to real world experiences 5. Bicycles Ala Mode - understand and apply the concepts of mean, median and mode 6. Jupiter Is Average - Using data from our solar system, students explore median, mode, mean, and range. Students learn to use an on-line calculator to determine the mean and range. 7. Mean Green Machine - use a calculator to find and use the average, or mean, of a set of data (designed for 5th grade) 8. Mode, Mean, Median - calculate mode, median and mode of a set of buildings, then repeat the activity with a different set - (metric measurements) 1. Quiz following the Mode, Mean, Median activity 9. Mean, Median, and Mode Calculator - enter numbers separated by comma and then calculate Medians - understand and apply the concepts of median and mean
10. Party Comedian - find and use the median of a set of data
11. Party Mode - find and use the mode of a set of data Interpret bar and line graphs to answer questions and solve real-world problems.
6.5.2
R
1. Bar Graphs - from Statistics Canada
2. Fun and Sun Rent-a-Car - students use tables, graphs, linear functions to solve a real-world problem
3. Heads I Win - predict the likelihood of tossing heads or tails and graphs the results of coin tosses 4. The Hot Tub - This is a fun activity where students tell the story behind a graph and relate slope to rate of change.
5. Interpreting Column Graphs - students practice by answering ten questions about the graph
6. Interpreting Data - survey a small group by clicking on each of the children, turn the tally marks into two types of graphs and then go back and take a different survey 1. Interpreting Data Quiz - after you finish the lesson above, take this quiz 7. Interpreting Line Graphs - explore line graphs. 8. Magic Bullets: Chemistry vs. Cancer - In this activity students will work with data about cancer deaths. The purpose of the activity is to give students some experience in reading and interpreting graphs. There is a worksheet associated with the data sets
9. Spy Guys Interactive - Understanding and Interpreting Graphs - Lesson 10 10. What Percentage of your Class is Right or Left Handed? - a data collection and analysis class experiment
Determine the median from a stem-and-leaf-plot.
6.5.4
DP
1. Lesson designed to introduce students to stem-and-leaf plots
2. Let the Games Begin : Olympic Trials in Data Analysis 3. Long Distance Airplanes - a stem-and-leaf plot lesson from Iluminations (rated 3rd-5th grade, but quite useful)
4. Make a Stem-and-Leaf plot of the data you enter into the text area (ignore the warning about Internet Explorer, it works fine).
5. Organizing Data in a Stem and Leaf Plot - a lesson plan from Annenberg CPB
1. Making a Stem and Leaf Plot - An excellent interactive assignment can be found at the bottom of this page.
2. Ordering a Stem and Leaf Plot - An excellent interactive assignment can be found at the bottom of this page.
3. Grouping by Fives - An excellent interactive assignment can be found at the bottom of this page.
6. Overview of Mean, Median, and Mode
7. Overview of stem-and-leaf plot - a display that organizes data to show its shape and distribution
8. Stem-and-Leaf Plots - Their Construction and Use - an overview followed by several suggested assignments
9. Stem and Leaf Plotter - an interactive applet that allow students to input data
10. Stem-and-Leaf plots - from Purple Math
11. Worksheet to accompany a "Stem-and-Leaf Plots" Lesson Determine if a sample is biased.
6.5.5
DP
1. Biased Sample - also known as: Biased Statistics, Loaded Sample, Prejudiced Statistics, Prejudiced Sample, Loaded Statistics, Biased Induction, Biased Generalization (3 good examples at the bottom of the page)
2. Avoiding a Biased Sample - a section from an article on designing a survey
Represent the likelihood of an event using a number from 0-1.
6.5.6
DP
1. Analyzing game probabilities - online quiz
2. Lions and Tigers - predict the likelihood of a simple event (rolling a die) as a fraction 3. The Random Ball-Picking Machine - experiment with a random generator at a BBC site to collect data to make decisions about probability. 1. After you finish working through the ball-picking activity, take a ten-question quiz 4. Spy Guys Interactive - Probability - Lesson 19 5. Understanding Experimental Probability - Experiment with experimental probability using a fixed size section spinner, a variable section spinner, 2 regular 6-sided number cubes or design your own number cubes.
Connect data sets and their graphical representations (i.e., bar graphs, circle graphs, and stem-and-leaf-plots).
6.5.7
DP
1. Bar Graph - Enter data to create a bar graph, then manipulate the graph's maximum and minimum values
2. Circle Graph - Enter data categories and the value of each category to create a circle graph (similar to "Pie Chart" but the user can define the data set)
3. Collecting and Analyzing Data - online quiz
4. Data Picking - students collect data, enter tally marks or numbers and then select which graph is appropriate
5. Graphing Skills - What's the point? find the point on the grid 6. Interpreting Circle (Pie) Graphs - students practice by answering eight questions about the graph
7. Interpreting Data - online quiz
8. Pie Chart - Students view pie charts (parameters: number of sectors, size of sector as a percent)
9. Piece Of Pie - display data using a circle graph 10. Push Ups - collect data to put on a line graph 11. Using Graphs to Understand Data - online quiz

Make conjectures and predictions based on data (e.g., in a chart, table, or graph).
6.5.8
AT

1. Adjustable Spinner - Students can create a game spinner with variable sized sectors to look at experimental and theoretical probabilities. Parameters: Sizes of sectors, number of sectors, number of trials.
2. Bean Pi - To involve students in a small group exploration of the concept of area for circles, and to involve students in data collection.
3. Comparative Bar Graphs - read the graph and answer questions 4. Exploring Baby Weight Mathematically - A baby's weight changes dramatically in the first weeks of life. For example, students will look at data for Baby Kevin and Baby David.
5. Hand Squeeze - (a data collection and analysis class experiment) - Pass a "hand squeeze" around a circle and measure the amount of time that it takes for the hand squeeze to complete the circle.
6. Interpreting a Data Chart - students practice by answering questions about what can be found in a grid chart
7. Marbles - learn about sampling with and without replacement by modeling drawing marbles from a bag - [ Parameters: Number and color of marbles in the bag, replacement rule ]
8. Pin The Tail - use probability to predict and conduct experiments to test predictions. 9. Practice with Data - answer questions pertaining to collecting and organizing data Probability - online quiz
10. Quantitative Environmental Learning Project - a rich source of data based projects
11. Spinner - Students can create a game spinner with one to twelve sectors to look at experimental and theoretical probabilities. Parameters: Number of sectors, number of trials.
12. Two Colors - Students choose between three boxes and choose one marble from the box to look at conditional probabilities. Parameters: Number of trials.
13. Vehicle Stopping Distance And Time - use data to reach conclusions - use their Vehicle Stopping Distance Calculator to do actual model calculations
14. What Percentage of your Class is Right or Left Handed? - a data collection and analysis class experiment
15. The Winning Edge: Probability in Basketball - Time has run out in the big basketball game, and the score is tied. However, Up-State College has the ball with time out. You're the coach. Which players should you put into the game to give you the best chance of winning? (students collect data and make prediction based on the data) Use a tree diagram or organized list to determine all possible outcomes of a simple compound event.
6.5.9
DP
1. Leap Frog - design an experiment to answer a question, collect information, and interpret the results using charts 2. Me Too Probability - use a tree diagram to display possible outcomes of who will come to the party 3. On Stage Probability - use tree diagrams to display the possible outcomes of casting a play 4. What are Your Chances - What many people refer to as 'good luck' can actually be explained by a little knowledge about probability and statistics. Our dice game allows you to see how increasing or decreasing the number of dice rolls effects an outcome.
5. Who Will Probably? - use problem-solving steps and a tree diagram to display possible outcomes and make predictions Virtual Manipulatives
1. Data Analysis & Probability (Grades 6-8) 2. Virtual Dice - four styles available; single, double, triple, or +/- dice ### Review Help

Practice Tests!
1. Chapter Tests - Glencoe Math
2. Houghton Mifflin Mathematics Test Prep Practice
3. Self Check Quizzes - Glencoe Math
Released Tests & others
1. FCAT Sample Test Book - [ 2008 ] sample questions and test taking tips  2. FCAT Sample Answer Book - [ 2008 ] sample questions and test taking tips  3. Sixth Grade Math - Read each question and choose the best answer. Then mark the circle next to the letter for the answer you have chosen. ( from Texas )
4. Texas end-of-year Math test 2003
5. Texas end-of-year Math test 2004
Various Review Aids
1. Geometry Jeopardy - Topics covered: Polygons & Transformations, Circles, Symmetry, Lines & Angles, and Triangles & Congruency
2. Junior High Math Interactives - includes interactive math activities, print activities, learning strategies, and videos that illustrate how math is used in everyday life.
3. Math Olympics - Answer 20 multiple choice questions correctly to win the Math Olympics. Topics range from basic computation and general math knowledge to word problems with percentages, ratios, and fractions. 4. Math TV: Video Word Problems - [ Grades 5+ ] Math TV is a project whose goal is to help middle school students learn how to solve challenging word problems. Each of the nineteen math problems comes with step by step video solution, follow up problems, an online calculator, and sketch pad.
5. Solve It! - Math Videos provide problem solving practice for students in grades 3 to 6. Each of the thirteen sets contain five multistep word problems with step by step video solutions. Concepts include basic operations, algebraic reasoning, money, fractions, percent, perimeter, area, proportional reasoning, and measurement. site for teachers | PowerPoint show | Acrobat document | Word document | whiteboard resource | sound | video format | interactive lesson | a quiz | lesson plan | to print Internet4classrooms is a collaborative effort by Susan Brooks and Bill Byles. 