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Pennsylvania Department of Education
What is the Chance?
Fourth and fifth graders make predictions using data. In this analyzing data lesson, pupils use experimental data, frequency tables, and line plots to look for patterns in the data in order to determine chance. You will need to make a...
Mathed Up!
Two Way Tables
When presented with categorical data, a two-way frequency table is a great way to summarize the information. Pupils organize categorical data using a two-way table, then use the tables to determine missing data and to calculate simple...
Noyce Foundation
Diminishing Return
Challenge individuals to compete as many tasks as possible. Lower-level tasks have pupils apply costs and rates to solve problems. Upper-level tasks add algebraic reasoning and conditional probability to the tasks.
CK-12 Foundation
Expected Value: Playing Darts
The expected payoff is right on target. An interactive resource provides a dart game scenario with amounts of cash prizes and probabilities of winning. Learners calculate the expected value and expected payoff for the game. To...
Shodor Education Foundation
Overlapping Gaussians
Adjust the overlap to compare probabilities. Using sliders, learners adjust the shape of two Gaussian curves. The interactive calculates the area of the left tail for one curve and the right tail for the other. Pupils set the interactive...
College Board
2010 AP® Statistics Free-Response Questions Form B
Form a good familiarity with the AP® test using Form B of the 2010 AP® Statistics free-response questions. Pupils use a test from a previous administration to prepare for their exams. A set of six questions assesses box plots,...
College Board
2002 AP® Statistics Free-Response Questions Form B
Develop a deeper understanding of statistics. The six released free-response items from the 2002 AP® Statistics Form B involve several concepts that are currently in the regular statistics standards. Teachers see how...
Mathed Up!
Frequency Polygons
Frequency polygons are a different way to represent frequencies over intervals. Pupils take frequencies for intervals of data from a frequency table and plot them as a frequency polygon. Budding mathematicians find information about the...
College Board
2009 AP® Statistics Free-Response Questions Form B
Is your class taking the AP® Statistics exam in the near future? You may want to take a look here. Using the 2009 AP® Statistics free-response questions Form B helps learners become familiar with the testing conditions, such as time...
College Board
2011 AP® Statistics Free-Response Questions Form B
Is the sequel better than the original? The 2011 AP® Statistics free-response questions, Form B, is available for instructors to reference. Among the topics covered in the exam are histograms, distributions, studies and experiments,...
College Board
2012 AP® Statistics Free-Response Questions
There's no better way to prepare your class for the AP® test format than previous exams. Instructors and scholars use the 2012 AP® Statistics free-response questions to familiarize themselves with the test. Topics covered in the exam...
College Board
2008 AP® Statistics Free-Response Questions
Is your knowledge of statistics at an AP® level? Scholars try out the 2008 AP® Statistics free-response questions. The questions cover box plots, scatter plots, distributions, probability distributions, experiments, statistical tests,...
College Board
2011 AP® Statistics Free-Response Questions
Familiarize yourself with the AP® exam by looking at past tests. A PDF file provides the 2011 AP® Statistics free-response questions. The questions include topics such as mean, standard deviation, conditional probability, sampling...
College Board
2003 AP® Statistics Free-Response Questions Form B
Update the statistics in your course using older AP® questions. The 2003 AP® Statistics free-response questions cover several of the concepts in the current statistics standards for all pupils. Items contain questions about...
Rice University
College Algebra
Is there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...
Rice University
Algebra and Trigonometry
Move on into trigonometry. An informative eBook takes the content of a College Algebra course and adds more relating to trigonometry and trigonometric functions. The content organization allows pupils to build upon their learning by...
Illustrative Mathematics
Random Walk III
Don't cross the line; just walk along it. Scholars investigate a scenario in which a person starts at zero on a number line, then moves left or right depending on a flip of a coin. They determine the number of outcomes for six flips,...
Radford University
Corn and Popcorn
Have a popping good time. Using probability and statistics skills, learners determine which type of popcorn to buy based on the percentage of kernels popped. After analyzing corn and popcorn sales to make a prediction of future sales,...
iMagine Machine
The Land of Venn - Geometric Defense
Young mathematicians use their geometry skills to save the Land of Venn in an engaging math game. A fun way to reinforce children's understanding of basic geometric figures and shapes.
Illustrative Mathematics
Shortest Line Segment from a Point P to a Line L
One of the hardest skills for many young geometers to grasp is to move beyond just declaring obvious things true, and really returning to fundamental principles for proof. This brief exercise stretches those proving muscles as the...
Mathematics Assessment Project
College and Career Readiness Mathematics Test C1
Challenge high schoolers with a thorough math resource. The 20-page test incorporates questions from upper-level high school math in applied and higher order questions.
Math Learning Center
Fifth Grade Assessments and Scoring Checklists, Common Core State Standards
Check for understanding with a set of math assessments. Fifth graders answer questions involving multiplication and division, median and mode, rotational symmetry, and graphing.
Mathematics Assessment Project
Middle School Mathematics Test 2
A 13-page test with two 40-minute sections covers multiple years of math content. It incorporates applied problems and mathematical analysis.
Concord Consortium
Bill the Ball Bearing Man
Just how durable could a hollow ball bearing be? Learners model the strength of the walls of a ball bearing as a function of the radius of its cavity. They use their models to make reasonable conclusions about the probability of failure...
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