Math Online

Lesson Plans, Interactive Activities,

Worksheets, and Links for Grades K - 12

 

Data Analysis and Probability

 

Key:  I = Introduced, D = Developing, A = State Assessed, M = Mastered

First Grade

D

Interpret and make pictographs and bar graphs using concrete objects and pictured objects.

www.harcourtachieve.com

D

Describe events related to studentsí experiences as likely or unlikely.

 

Second Grade

I

Pose questions and gather data to answer the questions.

I

Read, interpret, and construct tables using tally marks.

D

Construct pictographs and bar graphs.

D

Interpret and solve problems with tables, bar graphs, and pictographs.

I

Predict outcomes of events based on data gathered and displayed.

M

Explain whether an event is likely or unlikely.

Third Grade

D

Write questions and gather data to answer questions.

D

Interpret and construct tables using tally marks.

D

Construct pictographs and bar graphs.

A

Interpret pictographs.

A

Interpret bar graphs.

D

Read and interpret tables, bar graphs, and pictographs.

D

Make and justify predictions based on data gathered and displayed.

D

Identify all possible outcomes of a simple experiment (e.g., spinner, coin toss, and number cubes).

A

Determine whether an event is certain, possible, or impossible.

A

Determine the most likely, least likely, or equally likely outcomes in simple experiments (i.e., spinner, number or color cube).

A

Select all possible outcomes of a simple experiment (i.e., spinner, coin toss, number or color cube).

A

Solve real-world problems in which data is represented in tables.

 

Fourth Grade

I

Collect data using observations, surveys, and experiments.

I

Understand how data-collection methods could affect the results.

D

Construct tables, pictographs, line graphs, and bar graphs.

D

Interpret simple charts, tables, pictographs, line graphs, and bar graphs.

A

Interpret data displayed in bar graphs and pictographs.

http://www.shodor.org/interactivate/activities/bargraph/

http://nces.ed.gov/nceskids/createagraph/

A

Connect data in tables to pictographs, line graphs, or bar graphs.

http://www.tv411.org/lessons/cfm/reading.cfm?str=reading&num=10&act=2&que=1

http://www.mcwdn.org/Graphs/BarGraph.html

I

Evaluate how well various representations show the collected data.

D

Explore and determine measures of central tendency (i.e., mean, median, and mode).

A

Determine the median of a data set.

http://www.mathsisfun.com/median.html

http://www.bbc.co.uk/education/mathsfile/gameswheel.html

http://www.harcourtschool.com/activity/elab2002/grade_4/025.html

 

Fifth Grade

D

Collect data using observations, surveys, and experiments.

D

Understand how data-collection methods could affect the results.

A

Represent and interpret data in bar graphs and pictographs.

D

Represent data using pictographs, bar graphs, tables, circle graphs, and line graphs.

D

Interpret data displayed in pictographs, bar graphs, tables, circle graphs, and line graphs.

D

Use measures of central tendency (i.e., mean, median, and mode).

A

Determine the mean, median, and mode of a data set.

www.mathsisfun.com/median.html

http://www.mathgoodies.com/lessons/vol8/mode.html

I

Find the range of a data set.

D

Make predictions and justify conclusions based on data.

A

Make predictions based on data.

D

Design investigations to address a question.

D

Examine various graphical representations of data to evaluate how accurately the data is depicted.

I

Explain the importance of sample size in investigations.

D

Describe the likelihood or chance of events as likely, unlikely, certain, equally likely, or impossible.

A

Determine the most likely, least likely, or equally likely outcomes in simple experiments.

D

Use a sample space to predict the probability of an event.

A

Represent the likelihood of an event using a fractional number from zero to one.

 

 

Seventh Grade

M

Formulate questions, design studies, and collect real-world data.

D

Construct, interpret, and use multiple-bar graphs, multiple-line graphs, and circle graphs displaying real-world data.

A

Interpret circle graphs displaying real-world data.

http://www.gamequarium.com/data.html

A

Interpret bar and line graphs to answer questions and solve real-world problems.

http://www.gamequarium.com/data.html

D

Find, use, and interpret measures of center and spread (e.g., mean, interquartile range).

A

Determine the mean for a data set.

http://www.gamequarium.com/data.html

A

Determine the median for a data set.

http://www.gamequarium.com/data.html

A

Make predictions based on data.

D

Make conjectures and predictions based on data.

D

Recognize misleading representations of data.

A

Connect data sets and their graphical representations (i.e., bar graphs, stem-and-leaf plots, box plots, and scatterplots).

http://www.gamequarium.com/data.html

D

Discuss and understand the relationship between data sets and their graphical representations (e.g., bar graphs, line graphs, circle graphs, histograms, stem-and-leaf plots, box plots, and scatterplots).

D

Make conjectures and predictions based on data.

A

Use proportional thinking to make conjectures about results of experiments and simulations.

D

Make conjectures to formulate new questions for future studies.

D

Determine the probability for an outcome in an experiment.

A

Connect the symbolic representation of a probability to an experiment.

D

Construct a tree diagram to determine all possible outcomes of a simple event.

 

Eighth Grade

D

Formulate questions, design studies, and collect real-world data for investigations using a variety of collection methods (e.g., random sampling and simulations).

A

Interpret appropriate graphical representations of data (i.e., histograms, box plots, and scatterplots).

D

Select, create, and use appropriate graphical representations of real-world data (e.g., histograms, box plots, and scatterplots).

D

Determine and interpret measures of center and spread (e.g., mean, median, and interquartile range).

A

Determine the mean of a given set of real-world data.

A

Determine the median of a given set of real-world data (even number of data).

I

Develop meaning for frequency, distribution, and outliers.

A

Connect data sets and their graphical representations (i.e., histograms, stem-and-leaf plots, box plots, and scatterplots).

D

Connect data sets and their graphical representations (e.g., bar graphs, line graphs, and circle graphs).

A

Make conjectures and predictions based on data.

A

Recognize misleading presentations of data.

I

Develop meaning for lines of best fit.

A

Identify an appropriate sample to test a given hypothesis.

D

Make conjectures to formulate new questions for future studies.

I

Develop meaning of mutually exclusive events.

A

Connect the symbolic representation of a probability to an experiment.

D

Use a variety of methods to compute probabilities for compound events (e.g., multiplication, organized lists, tree diagrams, and/or area models).

I

Distinguish between theoretical and experimental probability.

D

Find the probability of dependent and independent events.

 

Amie Lambert               Jefferson County Schools