Data Analysis and Probability
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Interpret bar and line graphs to answer questions and solve real-world problems.
7.5.1 |
- Bar Graph - Enter data to create a bar graph, then manipulate the graph's maximum and minimum values
- Collecting and Analyzing Data - online quiz
- Comparative Bar Graphs - read the graph and answer questions
- Fun and Sun Rent-a-Car - students use tables, graphs, linear functions to solve a real-world problem
- Graphs and charts - four different graphs and charts for you to consider
- Graphing Jeopardy Game - Review graphing terbs and information this fun way.
- The Hot Tub - This is a fun activity where students tell the story behind a graph and relate slope to rate of change.
- Interactive Graphs - large number of interactive graphs related to social studies topics
- Interpreting Column Graphs - students practice by answering ten questions about the graph
- Interpreting Data - online quiz
- Interpreting Line Graphs - explore line graphs.
- 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
- Push Ups - collect data to put on a line graph.
- Overview of a Bar Graph by Nicole Carroll followed by a practice quiz
- Overview of a Line Graph by Nicole Carroll followed by a practice quiz
- Spy Guys Interactive - Understanding and Interpreting Graphs - Lesson 10
- Using Data and Statistics - good graphs, however they are not interactive
- Using Graphs to Understand Data - online quiz
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Interpret circle graphs displaying real-world data.
7.5.2 |
- 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)
- Circle Grapher - Use this tool to graph data sets in a circle graph. You can input your own data or alter a pre-made data set
- Graphs and charts - four different graphs and charts for you to consider
- Interpreting Circle (Pie) Graphs - practice by answering eight questions about the graph
- Overview of a Circle Graph by Nicole Carroll followed by a practice quiz
- Piece Of Pie - display data using a circle graph.
- Pie Chart - view pie charts (parameters: number of sectors, size of sector as a percent)
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Determine the mean or median for a data set.
7.5.3 - mean
7.5.4 - median
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- Basketball Debate - explore the meaning of average (or mean) and relate these concepts to real world experiences.
- Bicycles Ala Mode - understand and apply the concepts of mean, median and mode.
- Comparing Properties of the Mean and the Median through the use of Technology
- Exploring Histograms - The interactive data analysis tool in this investigation allows students to create their own sets of data and examine how various statistical functions such as mean, median, and standard deviation depend on the choice of data.
- Mean, Median, and Mode Calculator - enter numbers separated by comma and then calculate
- Medians - understand and apply the concepts of median and mean.
- Party Comedian - find and use the median of a set of data.
- Party Mode - find and use the mode of a set of data.
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Make predictions based on data.
7.5.5 |
- 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.
- Analyzing game probabilities - online quiz
- Bean Pi - To involve students in a small group exploration of the concept of area for circles, and to involve students in data collection.
- Marbles - Students 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.
- Practice with Data - answer questions pertaining to collecting and organizing data
- Probability - online quiz
- Quantitative Environmental Learning Project - a rich source of data based projects
- 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.
- Two Colors - Students choose between three boxes and choose one marble from the box to look at conditional probabilities. Parameters: Number of trials.
- Spy Guys Interactive - Probability - Lesson 19
- 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.
- 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)
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Use a tree diagram or make an organized list to determine all possible outcomes of a simple compound event.
7.5.6 |
- Heads Up Probability - use tree diagrams as models for predicting outcomes and the likelihood of events using coins.
- Leap Frog - design an experiment to answer a question, collect information, and interpret the results using charts.
- Me Too Probability - use a tree diagram to display possible outcomes of who will come to the party.
- On Stage Probability - use tree diagrams to display the possible outcomes of casting a play.
- 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.
- Who Will Probably? - use problem-solving steps and a tree diagram to display possible outcomes and make predictions.
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Connect data sets and their graphical representations (i.e., bar graphs, stem-and-leaf plots, box plots, and scatter plots).
7.5.7 |
- Box Plot - explanation from the Engineering Statistics Handbook
- Box Plot - comparing the average height of singers
- Box Plot - interactive
- Box and Whisker Plots
- Box and Whisker Plot - use your TI-83+ graphing calculator with box and whisker plots
- A lesson designed to introduce students to stem-and-leaf plots
- An overview of stem-and-leaf plot - a display that organizes data to show its shape and distribution
- An Overview of Mean, Median, and Mode
- Let the Games Begin : Olympic Trials in Data Analysis
- Long Distance Airplanes - a stem-and-leaf plot lesson from Iluminations (rated 3rd-5th grade, but quite useful)
- Make a Stem-and-Leaf plot of the data you enter into the text area (ignore the warning about Internet Explorer, it works fine).
- Organizing Data in a Stem and Leaf Plot - a lesson plan from Annenberg CPB
- Making a Stem and Leaf Plot - An excellent interactive assignment can be found at the bottom of this page .
- Ordering a Stem and Leaf Plot - An excellent interactive assignment can be found at the bottom of this page.
- Grouping by Fives - An excellent interactive assignment can be found at the bottom of this page.
- Overview of a Stem-and-leaf plot by Nicole Carroll followed by a practice quiz
- Stem-and-Leaf Plots - Their Construction and Use - an overview followed by several suggested assignments
- Stem and Leaf Plotter - an interactive applet that allow students to input data
- Stem-and-Leaf plots - from Purple Math
- Worksheet to accompany a "Stem-and-Leaf Plots" Lesson
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Use proportional thinking to make conjectures about results of experiments and simulations.
7.5.8 |
- Analyzing game probabilities - online quiz
- Leap Frog - design an experiment to answer a question, collect information, and interpret the results using charts.
- Marbles - Students 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.
- Two Colors - Students choose between three boxes and choose one marble from the box to look at conditional probabilities. Parameters: Number of trials.
- 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.
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Connect the symbolic representation of a probability to an experiment.
7.5.9 |
- 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.
- 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.
- Leap Frog - design an experiment to answer a question, collect information, and interpret the results using charts.
- Probability Spinner - Check out your probabilities here
- Probability - online quiz
- 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.
- What Percentage of your Class is Right or Left Handed? - a data collection and analysis class experiment
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Virtual Manipulatives |
- Data Analysis & Probability (Grades 6-8)
- Virtual Dice - four styles available; single, double, triple, or +/- dice
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Review Help
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Released Test & Others |
- Seventh 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 )
- FCAT Sample Test Book - [ 2008 ] sample questions and test taking tips
- FCAT Sample Answer Book - [ 2008 ] sample questions and test taking tips
- Texas end-of-year Math test 2003
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FCAT Sample Test Book |
- The FCAT Sample Test Books are designed to help students become familiar with FCAT (Florida) by providing helpful hints and offering practice answering questions in different formats. Half of this document is math and half is reading.
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Various Review Aids |
- Geometry Jeopardy - Topics covered: Polygons & Transformations, Circles, Symmetry, Lines & Angles, and Triangles & Congruency
- Junior High Math Interactives - includes interactive math activities, print activities, learning strategies, and videos that illustrate how math is used in everyday life.
- 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.
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