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## 5th Grade Data Analysis & Probability Skills

Prior Standards Implementation

## The standards listed below have been replaced by a newer set of standards.

## Please go to Current 5th Grade Math Standards for current resources.

## Data Analysis and Probability

Represent and interpret data in bar graphs and pictographs.

5.5.1

DP

- All The Parts - ( 3-5 ) learn the parts of a graph
- Bar Graph - Enter data to create a bar graph, then manipulate the graph's maximum and minimum values.
- 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)
- Comparative Bar Graphs - read the graph and answer questions
- Create-a-Graph - lessons and activities on a variety of graphs
- Data Picking - Students collect data, enter tally marks or numbers and then select which graph is appropriate.
- The Hot Tub - This is a fun activity where students tell the story behind a graph and relate slope to rate of change.
- How It All Stacks Up - interpret and compare information using a bar graph
- Interpreting Column Graphs - students practice by answering ten questions about the graph
- 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

- Interpreting Data Quiz - after you finish the lesson above, take this quiz
- 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
- Play Ball - collect data to put on a picture graph
- Pie Chart - view pie charts (parameters: number of sectors, size of sector as a percent)
- Spy Guys Interactive - Understanding and Interpreting Graphs - Lesson 10
- What percentage has been shaded - Guess the percent of the shaded pie chart ( extremely difficult )
Determine the mean, median, and mode of a data set.

5.5.3 - median

DP

- All That Data - use range, mean, median, and mode
- All That Data Two - describe graphs in terms of range, measures of central tendency, and distribution
- Central Tendency Generator - Create your own online worksheet with your specifications as to mean, mode, and median.
- 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.
- Mean Green Machine - use a calculator to find and use the average, or mean, of a set 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
- Mode, Mean, Median - calculate mode, median and mode of a set of buildings, then repeat the activity with a different set - (metric measurements)
- Landmark Chart Numbers - Range, mean, median, and mode
- Party Comedian - find and use the median of a set of data
Determine the mean, median, and mode of a data set.

5.5.4 - mode

DP

- 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
- Central Tendency Generator - Create your own online worksheet with your specifications as to mean, mode, and median
- Mode, Mean, Median - Interactive lesson followed by activities (UK measurements)
- Landmark Chart Numbers - Range, mean, median, and mode
- Party Mode - find and use the mode of a set of data
Determine the most likely, least likely, or equally likely outcomes in simple experiments.

5.5.5

DP

- Chances Are - predict the likelihood of events using a circle graph with percentages as a model
- Coin Toss - toss enough coins to make a prediction about probability (maximum number of tosses 1000, but you can keep tossing to get a larger dataset)
- 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.
- Heads I Win - predict the likelihood of tossing heads or tails and graphs the results of coin tosses
- 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
- Pin The Tail - use probability to predict and conduct experiments to test predictions
- The Random Ball-Picking Machine - experiment with a random generator at a BBC site to collect data to make decisions about probability.

- After you finish working through the ball-picking activity, take a ten-question probability quiz
- Spy Guys Interactive - Probability - Lesson 19
- 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.
- What Percentage of your Class is Right or Left Handed? - a data collection and analysis class experiment
- Why Can't I Win? - use a spinner to predict the likelihood of simple events occurring
- What Are My Chances - explore probability and ratios
Represent the likelihood of an event using a fractional number from zero to one.

5.5.6

DP

- Lions and Tigers - predict the likelihood of a simple event (rolling a die) as a fraction
Determine the mean, median, and mode of a data set.

5.5.7 - mean

DP

- Central Tendency Generator - Create your own online worksheet with your specifications as to mean, mode, and median
- 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.
- Mode, Mean, Median - Interactive lesson followed by activities (UK measurements)
Make predictions based on data.

5.5.8

AT

- Bean Pi - To involve students in a small group exploration of the concept of area for circles, and to involve students in data collection.
- Coin Toss - toss enough coins to make a prediction about probability (maximum number of tosses 1000, but you can keep tossing to get a larger dataset)
- Fun and Sun Rent-a-Car - students use tables, graphs, linear functions to solve a real-world problem
- Heads I Win - predict the likelihood of tossing heads or tails and graphs the results of coin tosses
- Leap Frog - design an experiment to answer a question, collect information, and interpret the results using charts
- Quantitative Environmental Learning Project - a rich source of data based projects
Virtual Manipulatives

- Data Analysis & Probability (Grades 3-5)
- Virtual Dice - four styles available; single, double, triple, or +/- dice
## Review Help

Practice Tests!

- Brainchild - twenty-four questions, followed by practice on any incorrect responses
- Houghton Mifflin Mathematics Test Prep Practice
- Virginia State Standards of Learning - Select Math 5 , and then select 10, 20, or 40 questions.
Released Test & Others

- FCAT Sample Test Book - [ 2008 ] sample questions and test taking tips
- FCAT Sample Answer Book - [ 2008 ] sample questions and test taking tips
- Fifth 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 )
- Texas end-of-year Math test 2003
- Texas end-of-year Math test 2004
Daily Questions

- Daily Questions - to serve as a ten to fifteen minute (approximate) review of practice test items and critical thinking (239 pages) [ Note : This link is available through the Wayback Machine Internet Archive. Some state filters block access to this page so you might consider downloading the document at home.]
TAAS Attack Daily Upkeeps

- Daily Upkeeps - Scroll down this page until you see " 5th Grade TAAS Attack Daily Upkeeps ." There are 8 practice activities to print (in .pdf format)
General Total Math Review

- 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. Math Olympics provides excellent test prep practice for students in grades 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.
- McMillan/McGraw-Hill - Online activities for 5th graders - whole numbers, graphs, fractions, measurements and more
- Money Review - Start on level two or three for counting money review
- Solve It! - Math Videos provide problem solving practice for students in grades 3 to 6. Each of the thirteen sets contain five multi step word problems with step by step video solutions. Concepts include basic operations, algebraic reasoning, money, fractions, percent, perimeter, area, proportional reasoning, and measurement.
- ThatQuiz is a math testing web site developed by Andrew Lyczak, a graduate student at the University of New Hampshire. The site offers free testing, grading and record keeping for teachers, with practice tests for students. This is a completely free, non-profit educational site.

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