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,...
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...
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...
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,...
EngageNY
The Graph of the Natural Logarithm Function
If two is company and three's a crowd, then what's e? Scholars observe how changes in the base affect the graph of a logarithmic function. They then graph the natural logarithm function and learn that all logarithmic functions can be...
EngageNY
The Mathematics Behind a Structured Savings Plan
Make your money work for you. Future economists learn how to apply sigma notation and how to calculate the sum of a finite geometric series. The skill is essential in determining the future value of a structured savings plan with...
EngageNY
Wishful Thinking—Does Linearity Hold? (Part 1)
Not all linear functions are linear transformations — show your class the difference. The first lesson in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...
Statistics Education Web
The United States of Obesity
Mississippi has both the highest obesity and poverty rate in the US. Does the rest of the data show a correlation between the poverty and obesity rate in a state? Learners tackle this question as they practice their skills of regression....
Statistics Education Web
I Always Feel Like Somebody's Watching Me
Future statisticians and potential psychics first conduct an experiment to collect data on whether a person can tell if someone is staring at them. Statistical methods, such as hypothesis testing, chi-square tests, binomial tests, and...
Statistics Education Web
Are Female Hurricanes Deadlier than Male Hurricanes?
The battle of the sexes? Scholars first examine data on hurricane-related deaths and create graphical displays. They then use the data and displays to consider whether hurricanes with female names result in more deaths than hurricanes...
Statistics Education Web
How Wet is the Earth?
Water, water, everywhere? Each pupil first uses an Internet program to select 50 random points on Earth to determine the proportion of its surface covered with water. The class then combines data to determine a more accurate estimate.
Statistics Education Web
Text Messaging is Time Consuming! What Gives?
The more you text, the less you study. Have classes test this hypothesis or another question related to text messages. Using real data, learners use technology to create a scatter plot and calculate a regression line. They create a dot...
Statistics Education Web
Types of Average Sampling: "Household Words" to Dwell On
Show your classes how different means can represent the same data. Individuals collect household size data and calculate the mean. Pupils learn how handling of the data influences the value of the mean.
Statistics Education Web
Consuming Cola
Caffeine affects your heart rate — or does it? Learners study experimental design while conducting their own experiment. They collect heart rate data after drinking a caffeinated beverage, create a box plot, and draw conclusions....
Statistics Education Web
Who Sends the Most Text Messages?
The way you use statistics can tell different stories about the same set of data. Here, learners use sets of data to determine which person sends the most text messages. They use random sampling to collect their data and calculate a...
EngageNY
Properties of Parallelograms
Everyone knows that opposite sides of a parallelogram are congruent, but can you prove it? Challenge pupils to use triangle congruence to prove properties of quadrilaterals. Learners complete formal two-column proofs before moving on to...
Statistics Education Web
The Case of the Careless Zookeeper
Herbivores and carnivores just don't get along. Using a box of animal crackers, classes collect data about the injury status of herbivores and carnivores in the box. They complete the process of chi-square testing on the data from...
EngageNY
Translations
Learn through constructions! Learners examine a translation using constructions and define the translation using a vector. Pupils then construct parallel lines to determine the location of a translated image and use the vector as a guide.
EngageNY
Analyzing Decisions and Strategies Using Probability 2
Explore how to compare and analyze different strategies. In the 20th installment of a 21-part module, scholars continue their analysis of decisions and strategies from the previous activity. They then extend this concept to hypothesis...
American Statistical Association
Bubble Trouble!
Which fluids make the best bubbles? Pupils experiment with multiple fluids to determine which allows for the largest bubbles before popping. They gather data, analyze it in multiple ways, and answer analysis questions proving they...
American Statistical Association
Happy Birthday to . . . Two?
How many people do you need in a room before two likely share the same birthday? Scholars consider this puzzle by analyzing a set of data. They ponder how to divide the data and determine the proper size of a group for this event to...
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