It's not just any circle—it's the unit circle. The fourth activity in the series is an introduction to the famous unit circle. While working through a series of activities, young scholars learn the components of the unit circle and how...

From a circle to a cycle! The final lesson of a five-part series challenges learners to use points from the unit circle to plot a repeating pattern. The repeating patterns become the graphs of the trigonometric functions. Scholars...

Take a chance with an activity sure to improve your class's skills. An introductory lesson focuses on probability and chance. It shows how probability is always a value between zero and one, i.e., the probability of an event is always...

A fun, engaging lesson is definitely in the cards for your future. Pupils explore a deck of playing cards in the fifth of six parts in the Statistics and Probability series to learn about its suits and the number of each card type. They...

Build a solid foundation on which to develop future concepts. Through a guided exploration, learners compare and contrast the characteristics of points, lines, planes, rays, and segments. They measure lengths and practice notation for...

The world is full of patterns. Help learners quantify those patterns with mathematical representations. The first Algebra instructional activity in a compilation of four uses a series of activities to build the concept of patterns using...

Do your pupils truly understand inverse operations, or is their understanding a little backward? Scholars learn the meaning of an equation in the second lesson of a four-part Algebra series. A series of activities begins with an...

Deep mathematical thinking is found with just a coin and a number line. Combining computing some probabilities in a discrete situation, and the interpretation of a function, this simple task gives learners a lot to think about on...

Young scholars investigate probability. They will define probability as the likelihood of an event occurring. Then, they determine the probability of sitting in a particular seat on a plane. They also set up ratios of various seating...

Learners investigate why theoretical probability doesn't always match reality. The activity involves using Python 2.7 (or Sage) to set up a Bernoulli Trial. It also involves setting up a spreadsheet to simulate the Birthday Paradox....

What do you do when you don't think you have enough information? You look for another way to do the problem! Pupils combine what they know about finding the area of a triangle and trigonometry to determine triangle area when they don't...

Help your classes find the significance in this lesson! Learners analyze the probability of Diff values. They then determine if the difference is significant based on their probability of occurrence. 

It's scary how fast bacteria can grow — exponentially. Class members solve exponential equations, including those modeling bacteria and population growth. Lesson emphasizes numerical approaches rather than graphical or algebraic.

What is the probability that two randomly seated people will be across from each other at a square table? Check learners' understanding of theoretical probability and compound events with this short assessment. A great opportunity to...

Young travelers plan a trip to Hilbre Island based on constraints on tides and time. They use a timeline to help determine the optimal day/time to make the trip.

Where should I stand to get the best view? Pupils use inverse trigonometric functions to determine the horizontal distance from an object to get the best view. They round out the lesson by interpreting their answers within context.

Is there another way to view whether the data is linear or not? Class members work alone and in pairs to create scatter plots in order to determine whether there is a linear pattern or not. The exit ticket provides a quick way to...

What linear equation will fit this data, and how close is it? Through discussion and partner work, young mathematicians learn the procedure to determine a regression line in order to make predictions from the data. 

Working in small groups and in pairs, classmates build an understanding of what types of relationships can be used to model individual scatter plots. The nonlinear scatter plots in this lesson plan on relationships between two numerical...

Do your classes truly understand the distributive property? Use a demonstrative lesson to represent the distributive property in various ways. Learners solidify understanding by creating a geometric pattern for distributive...

Lead the class in a Greek history lesson with a geometric twist. Pupils relate a short video about geometric properties to modern-day methods of solving for unknown angles. They discuss parallel line theorems and complete...

Applying a learned technique to a new type of problem is an important skill in mathematics. The lesson asks scholars to apply their understanding to analyze dilations of different figures. They make conjectures and conclusions to...

You can explain it, but can you do it? After learners view a sequence of transformations, the next logical step is creating the transformation. Challenge your classes to construct a composition of transformations and verify the...

I can multiply, so why can't I add these radicals? Mathematicians use the distributive property to explain addition of radical expressions. As they learn how to add radicals, they then apply that concept to find the perimeter of...