Young mathematicians extend their knowledge of rational numbers on a number line to graph inequalities by first using number cards to compare rational numbers. They finish by using similar reasoning to graph inequalities on a number line.

Many phenomena in life are periodic in nature. A task-based lesson asks scholars to explore one of these phenomena. They collect data showing the sunrise time of a specific location over the period of a year. Using the data, they create...

Take a functional approach to the national debt. Learners collect information about the national debt by decade and plot the data. They determine whether an exponential curve is a good fit for the data by comparing the percent changes...

This performance task gives the population model of different types of flies and asks scholars to analyze the two populations. After interpreting the functions individually, participants compare the two populations and find the time...

Two for one—create an invertible and non-invertible function from the same data. The task presents a function table with missing outputs for the class to use to create two functions. One of the functions should have an inverse while the...

Make the most of your prom—with math! Pupils write and use a quadratic model to determine the optimal price of prom tickets. After determining the costs associated with the event, learners use a graph to analyze the break even point(s).

Introduce a new type of function through discovery. Math learners build an understanding of rational expressions by creating tables and graphing the result. 

Calling all subscribers! Model revenue based on individual cell phone subscribers. The project-based learning activity presents a challenge to scholars from a cell phone company. Individuals model data provided to them from the company...

Take a look at linear functions in a new environment. A three-stage algebra project first asks learners to model the salt concentration of an aquarium using linear functions. Then, using iterations, pupils create a set of input-output...

Congruence and similarity apply to functions as well as polygons. Learners examine the effects of transformations on the shape of parabolas. They determine the transformation(s) that produce similar and congruent functions.

They grow by leaps and bounds. Learners watch a quick review on function notation as they prepare to learn more about exponential growth. Using their knowledge from sequences, pupils find out whether a function is linear or exponential,...

The coordinate plane links key geometry and algebra concepts in this approachable but rigorous unit. The class starts by developing the distance formula from the Pythagorean Theorem, then moves to applications of slope. Activities...

Scholars first complete an assessment task on writing linear equations to model and solve a problem on a running race. They then take part in a card matching activity where they match equations and graphs of lines to diagrams of fluid...

That's the ticket! Pupils write and investigate two linear functions representing the cost of printing tickets. Individuals then determine which of two printing companies would be a better buy.

If cosine is shifted, how is its equation affected? Learners manipulate the graph of cosine by moving the y-intercept to different locations on the coordinate plane. Pupils determine the new equation that models the shifts.

Everything you could possibly want to know about quadratic equations, all in one resource. Instructors demonstrate how to translate between different forms of quadratics (equation, table of values, graph, verbal description) and finding...

class members first work through finding the equation, table of values, graph, and key features of a linear function expressed verbally. Individuals then work through several more problems given different representations.

What function will describe the insect population growth? Pairs or small groups work together to determine which type of function and specific function will model given scenarios. The scenarios differentiate between linear,...

There's a function for that! Scholars examine real-world situations to determine which type of function would best model the data in the 23rd installment of a 35-part module. It involves considering the nature of the data in addition to...

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...

Not all pie graphs are about pies. The class conducts a survey on favorite fast food categories in a lesson on data representation. Pupils use the results to create a circle graph.

Out of the swimming pool and into the math classroom! Young mathematicians analyze two linear functions representing the number of liters of water in a pool as it drains over time. They must evaluate functions, interpret function...

Through discussions and journaling, classmates determine methods to associate types of functions with data presented in a table. Small groups then work with examples and exercises to refine their methods and find functions that work...

The bounce of a golf ball changes the result in golf, mini golf—and a great math activity. Scholars graph the height of golf ball bounces before finding a line of best fit. They analyze their own data and the results of others to better...