American Statistical Association
What is the Probability of “Pigging Out”
Learners apply their understanding of luck to a probability experiment. They play a game of Pass the Pigs to determine the probability of a specific outcome. Using analysis for their data, pupils declare the measures of center, dot...
American Statistical Association
Exploring Geometric Probabilities with Buffon’s Coin Problem
Scholars create and perform experiments attempting to answer Buffon's Coin problem. They discover the relationships between geometry and probability, empirical and theoretical probabilities, and area of a circle and square.
American Statistical Association
An A-MAZE-ING Comparison
Teach your class how to use descriptive statistics through a hands-on data collection activity. Pupils collect their own data, calculate test statistics, and interpret the results in context. They compare male and female results, looking...
American Statistical Association
Chocolicious
To understand how biased data is misleading, learners analyze survey data and graphical representations. They use that information to design their own plans to collect information on consumer thoughts about Chocolicious cereal.
American Statistical Association
Colors Challenge!
Does writing the name of a color in a different colored ink affect one's ability to read it? Scholars design an experiment to answer this question. They collect the data, analyze the statistics, and draw a conclusion based on what they...
Statistics Education Web
Sampling in Archaeology
Compare different random sampling types using an archaeological setting. Scholars collect data from an archaeological plot using simple random samples, stratified random samples, systematic random samples, and cluster random samples....
Statistics Education Web
How High Can You Jump?
How high can your pupils jump? Learners design an experiment to answer this question. After collecting the data, they create box plots and scatter plots to analyze the data. To finish the instructional activity, they use the data to...
Statistics Education Web
Using Dice to Introduce Sampling Distributions
Investigate the meaning of a sample proportion using this hands-on activity. Scholars collect data and realize that the larger the sample size the more closely the data resembles a normal distribution. They compare the sample proportion...
Statistics Education Web
Walk the Line
How confident are you? Explore the meaning of a confidence interval using class collected data. Learners analyze data and follow the steps to determine a 95 percent confidence interval. They then interpret the meaning of the confidence...
Statistics Education Web
When 95% Accurate Isn’t
Investigate the effect of false positives on probability calculation with an activity that asks scholars to collect simulated data generated by a calculator. To finish, participants analyze the probability of certain outcomes which lead...
Statistics Education Web
It’s Elemental! Sampling from the Periodic Table
How random is random? Demonstrate the different random sampling methods using a hands-on activity. Pupils use various sampling techniques to choose a random sample of elements from the periodic table. They use the different samples to...
Curated OER
Writing Linear Equations in Different Forms
Can your class write linear equations three different ways? Here is a study guide that includes slope-intercept, standard, and point-slope forms. Learners are given the slope and a point on the line, or two points and are asked to write...
Illustrative Mathematics
Cup of Rice
Dividing with fractions is not a favorite task, so provide your learners with a visual understanding. The activity breaks a simple division problem into something they can comprehend. Use this method for future problems with fractions.
West Contra Costa Unified School District
Introduction to Inverse Functions
Ready to share the beauty of the inverse function with your classes? This algebra II activity guides the discovery of an inverse function through a numerical, graphical, and an algebraic approach. Connections are made between the three,...
EngageNY
Unknown Angle Proofs—Proofs with Constructions
Provide your emerging mathematicians with the tools to learn as they incorporate auxiliary lines to solve unknown angle proofs in this continuing segment. They decipher information from a diagram to uncover the missing pieces and...
EngageNY
Sine and Cosine of Complementary Angles and Special Angles
Building trigonometric basics here will last a mathematical lifetime. Learners expand on the previous instructional activity in a 36-part series by examining relationships between the sine and cosine of complementary angles. They also...
EngageNY
Using Trigonometry to Find Side Lengths of an Acute Triangle
Not all triangles are right! Pupils learn to tackle non-right triangles using the Law of Sines and Law of Cosines. After using the two laws, they then apply them to word problems.
EngageNY
Properties of Tangents
You know about the tangent function, but what are tangent lines to a circle? Learners investigate properties of tangents through constructions. They determine that tangents are perpendicular to the radius at the point of tangency, and...
Statistics Education Web
10,000 Steps?
Conduct an experiment to determine the accuracy of pedometers versus pedometer apps. Class members collect data from each device, analyze the data using a hypothesis test, and determine if there is a significant difference between the...
EngageNY
Comparing Linear and Exponential Models Again
Making connections between a function, table, graph, and context is an essential skill in mathematics. Focused on comparing linear and exponential relationships in all these aspects, this resource equips pupils to recognize and interpret...
EngageNY
Some Potential Dangers When Solving Equations
Need a less abstract approach to introducing extraneous solutions? This is it! Young mathematicians explore properties used to solve equations and determine which operations maintain the same solutions. They eventually find that squaring...
EngageNY
Solution Sets to Simultaneous Equations (part 1)
How are systems related? Build on your pupils' previous knowledge of solving systems of equations by introducing systems of inequalities. Learners explore similarities between systems of equations and inequalities to make a strong...
EngageNY
Properties of Logarithms
Log the resource on logarithms for future use. Learners review and explore properties of logarithms and solve base 10 exponential equations in the 12th installment of a 35-part module. An emphasis on theoretical definitions and...
EngageNY
Changing the Base
I can't calculate a base-2 logarithm since my calculator doesn't have a base-2 log key. Young mathematicians use the change of base formula to extend the properties of logarithms to all bases. Among these bases is the natural log base,...
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