Students perform functional analysis. In this pre-calculus lesson, students recognize the different elements of a function, graph a function and analyze it. They synthesize composites of other basic functions.

In this limitations of formulas worksheet, students answer four essay questions about functions. Two questions refer to the limitations of formulas. They graph one function and explain how it specifies the rule of the function.

Students identify the quadrants and axis of a coordinate plane. In this algebra lesson, students discover the ocrrect way to graph using the coordinate plane. They discuss the relationship between x and y values, domain and range and...

In this math worksheet, students define a function f(x) by the following rule: for any x ∈ R,set. They also define the domain and range for the functions.

In this Algebra I/Algebra II learning exercise, students evaluate functions. Students graphs functions and determine the domain and range, find the sum, difference, and product of functions, find composite functions and explore the...

Investigate exponential growth and decay. A set of six activities has pupils collecting and researching data in a variety of situations involving exponential relationships. They model these situations with exponential functions and solve...

Use a one-stop resource for everything you'd possibly want to teach about quadratic functions and models. Scholars analyze key features of quadratic functions as well as transformations of functions through seven activities....

How can you tell if number relationships are proportional? Mathematicians investigate proportional relationships. They compare and contrast functions and graphs to determine the characteristics of proportional relationships, as well as...

In need of some algebraic fun with real world implications?Learners use ordered pairs, a table of values and a scatter plot to evaluate the validity of several real world data sets. The class focuses on  dog ages in human...

In this algebra worksheet, 11th graders calculate the domain, range, asymptote and intercepts of a quadratic function. They sketch the graph and identify the transformation. There are 4 questions in this worksheet.

Students define exponential functions and graph the equation. For this algebra lesson, students discuss exponential growth and decay as they graph their functions. They differentiate between the base of growth and decay.

Students collect and graph their data. For this precalculus lesson, students identify the input and out of a function. They find the domain and range and the inverse of a function.

Put the better archer in a box. The performance task has pupils compare the performance of two archers using box-and-whisker plots. The resource includes sample responses that are useful in comparing individuals' work to others.

A math model is a good model. A slide show presents 10 sample items on modeling and data analysis. Items from Smarter Balanced illustrate different ways that Claim 4 may be assessed on the 8th grade math assessment. The presentation is...

In this domain of functions activity, students find the domain of given functions.  They simplify functions containing square roots and exponents.  This one-page activity contains 4 problems.

In this function activity, students describe a function and write six different ways a function may be modeled. This two-page activity contains eight problems.

Learners solve problems using the composition of functions. In this algebra lesson, students analyze the graph of a quadratic equation for its vertex and intercepts. they find the inverse of the function using addition, subtraction,...

In this Algebra II worksheet, 11th graders graph root functions and analyze the domain, range, intercepts, maximum and minimum values, and end behavior.  students use that information to transform the graphs of root...

In this graphing instructional activity, students answer 13 questions about 3 graphs.  Students determine the degree, roots, y-intercepts, inflection points, multiplicity, etc. of three different graphs.

Tenth graders study graphing exponential functions. In this transformations lesson, 10th graders apply inquiry to determine how changes to a parent function affect its graph. Students analyze transformed graphs and generate the function...

For this properties of trigonometric functions worksheet, students complete 4 sections consisting of 15 problems involving problem solving using Pythagorean and trigonometric identities and sketching functions..

In this functions worksheet, students distinguish 9 relations as being a function. Students also complete 6 function problems by substituting given information.

In this complex variable worksheet, students explore the functions of a complex variable. They map complex variables and solve complex inequalities. This three-page worksheet contains fourteen problems.

Time for classes to show what they've learned. Use several tasks to assess understanding of the trigonometric functions, unit circle, radians, and basic trigonometric identities.