Examine the power of technology while modeling with polynomial functions. Using the website wolfram alpha, learners develop a polynomial function to model the shape of a riverbed. Ultimately, they determine the flow rate through the river.

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...

Complex numbers were first represented on the complex plane, now they are being represented using sine and cosine. Introduce the class to the polar form of a complex number with the 13th part of a 32-part series that defines the...

Leaners investigate families of linear functions through dance. They choreograph dance moves to model nine unique linear functions of their choosing. Using their dance moves, teams create a video presentation complete with music and...

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).

Use geometric patterns to teach your class how to write functions. The assessment task has scholars consider a pattern of dots to draw the next picture of the pattern. Pupils then analyze the pattern, which helps them develop a function...

Picture this—the class creates pictures using functions. Here, learners build functions to model specific graphic criteria. They use their knowledge of parent functions and transformations to create the perfect function. 

Use a triangle area formula that works when the height is unknown. The eighth installment in a 16-part series on trigonometry revisits the trigonometric triangle area formula that previously was shown to work with the acute triangles....

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...

Before a cell replicates, its DNA must replicate. Take advantage of a hands-on guided lesson to teach budding scientists how this happens. Using a set of nucleotide cards, learners become the DNA and work to create matching strands...

Some things are hard to resist. Small collaborative groups build circuits and calculate the voltage using Ohm's Law. Budding engineers explore the connection between the voltage across different resistors and linear...

How can baseball and skeet-shooting be modeled mathematically? Sports lovers and young mathematicians learn how to use quadratic equations and systems of equations to model the flight paths of various objects.

In a scale measuring noise, an increase in 10 dB is a 10 time increase in power. Mathematicians examine the data graph of a real world exponential growth, with no logarithmic scale, and then create two equations relating the...

Investigate nonlinear motion through an analysis using the Pythagorean Theorem. Pupils combine their algebraic and geometric skills in the 24th lesson plan of this 25-part module. Using the Pythagorean Theorem, scholars collect data on...

Design a plan for finding the best health insurance for your money. Learners compare two health plans by writing and graphing piecewise functions representing the plan rules. Using Excel software, they create a technical report...

Rumor has it exponential functions help solve problems! In a kingdom filled with rumors, young scholars must determine the speed a rumor spreads. The ultimate goal is to decide how many people must know the rumor for it to spread to the...

Around and around we go ... again, and again, and again, and again! That's the nature of a periodic function. Young scholars learn how to model a periodic pattern with trigonometric functions. The nine-lesson unit explores the connection...

Here is an interesting way to build concept understanding regarding one-to-one correspondence. Learners with visual impairments will use an array of everyday objects in context to foster an understanding of what one-to-one correspondence...

Will that structure survive the force? The differentiated lesson plan allows pairs to choose the structure they would like to construct and the building materials they wish to use. Individuals record their findings in...

Challenge scholars to show what they know about properties and addition and subtraction formulas for trigonometric functions. The resource provides a mid-unit check on the progress toward mastery of trigonometric concepts. The areas...

Congratulations, you've just hit the word problem jackpot! Covering an incredible range of topics from integers and fractions, to percents, geometry, and much more, this collection of worksheets will keep young mathematicians...

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

You can't go wrong with a lesson that involves candy! Learners solve and graph one-variable inequalities and use candy to graph the solution. Individuals associate open circle graphs with life savers and closed circle graphs with round...

Learners review how to use the completing-the-square method to identify maximum and minimum values of a quadratic function by watching a video. They see how the vertex form relates to the extreme values of a quadratic function, and use...