High schoolers generate the equation of a polynomial given its roots and the end behavior of the function. They need to apply theorems concerning the multiplicity of roots, conjugates of irrational or imaginary roots to find a...

Exploring functions not represented by an expression is this task's secret. As your learners organize business customers in a database, they explore the definition of what it is to be a function. 

You don't need to be discreet about using the resource on discrete variables. In the fifth installment of a 21-part module, scholars explore random variables and learn to distinguish between discrete and continuous random variables. They...

Analyzing and understanding word problems is extremely important. Pupils learn that in money problems, earn usually means you add and spend usually means you subtract. They will solve a series of money-related word problems, label coins,...

Scholars develop the conversion formulas between Fahrenheit and Celsius with a task that presents the class with two known temperature equivalents between the two scales. Pupils use those two points to develop the linear conversion...

Collaborative pairs develop functions that model a graph from a context using the modeling cycle. They then analyze their function models in order to answer questions about the scenario.

Let's see what the class learned! The last installment of the 23-part Pre-calculus module consists of nine assessment questions designed to measure a specific portion of a standard in the unit. Learners demonstrate their understanding of...

Your algebra learners work to address the order of operations applied to an expression's input variable and the limitations that may be created because of it. This simple task of a few very well-chosen exercises is elegant in it's way of...

Upper graders explore division through fair-shares. They will review fair shares and fractions as a segway into division. They start by playing "Share Fairly" game and create mathematical arguments for solving problems. Manipulatives and...

What does the graph mean? Pupils view 10 graphs and determine whether they are possible based on their contexts. The contexts are distance versus time and profit versus time.

Your microbiologists explore a changing algae population and build an exponential function modeling algae concentration from the description given of the relationship between concentrations in cells/ml and days of rapid growth.

Modeling population growth gives learners an opportunity to experiment with real data. Comparing the growth rates in this real-life task strengthens learners' understanding that exponential functions change by equal factors over equal...

Pupils research the five most fuel efficient vehicles of the same type and come up with a way to display the mile per gallon for each vehicle. After choosing a vehicle, scholars create graphs to display miles traveled given the amount of...

Invite your learners to take a closer look at the art and mathematical function of dome buildings as designed by the ancient Romans. In the next segment of this attractive worksheet set, your young historians will then learn about...

Eighth graders combine like terms in this properties of variables lesson. Using named items (stars, moons and hearts), they combine like terms using variables. They use the distributive property to combine like terms. Finally, they write...

Here is a resource that demonstrates growth and the initial state of an equation. In this case, your class will be looking at baseball collections. How many baseball cards did the collector start out with, and how many were added or...

Students use properties of exponents to solve equations. In this algebra lesson, students add, subtract, multiply and divide exponential functions. They graph and differentiate between exponential growth and decay.

students emulate a real world problem and model it with mathematics working in a small group. Observe and facilitate discussion as the groups use various strategies, such as (graphs, brainstorming, tables, and dialogue.

Students explore the concept of the six trigonometric functions, places where the functions can be utilized, and apply these functions to several electrical application problems.

Students explore the concept of mathematical models. In this mathematical model lesson, students create a mathematical model from data from 4 cities over 15 months. Students are told they are working for a weather station. Students...

Students identify the basic transformations of parent functions. They use their graphing calculator to create a transformation booklet by folding a sheet of computer paper in half and stapling along the folded edge.

Students practice representing problems found in the real world in terms that can be translated into mathematical expressions. The situations are represented in tables and graphs by students.

A mail truck travels the same amount of miles per day. It will be up to your algebra learners to find an equation for this mailman’s truck. One needs a good understanding of rate of change and the initial value for this model. The...

In this harmonic function worksheet, students explore harmonic functions and construct a harmonic conjugate. This three-page worksheet contains three problems, with explanations and examples.