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,...

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...

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...

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...

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 lesson. They then extend this concept to hypothesis...

You have the answer and a variable, but something is missing! The class fills in the missing addend in 23 practice problems that all add up to 10. This is a great way to build number sense, pattern recognition, and automaticity.

Explore the difference between stochastic and deterministic modeling through programming. First have the class write algorithms for relatively simple tasks using pseudocode. Use the Python 2.7 program app to simulate Mendel's Pea Pod...

Become a bean counter. Pupils use a fun activity to design and execute an experiment to determine whether they can grab more beans with their dominant hand or non-dominant hand. They use the class data to create scatter plots and then...

Is time on your side? Pupils come up with an experiment to test whether their classmates can guess how long it takes for 30 seconds to elapse. They divide the class data into two groups, create box-and-whisker plots, and analyze the...

Investigate the relationship between height and arm span. Young statisticians measure the heights and arm spans of each class member and create a scatter plot using the data. They draw a line of best fit and use its slope to explain the...

Is there a relationship between height and the number of siblings? Classmates collect data on their heights and numbers of brothers and sisters. They apply statistical methods to determine if such a relationship exists.

How do doctors predict a child's future height? Scholars use one case study to determine the height of a child two years into the future. They graph the given data, determine the line of best fit, and use that to estimate the height in...

Scholars apply prior knowledge of statistics to write a conclusion. They summarize using correct academic language and tell the story of the data.

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...

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.

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...