In this radical notation learning exercise, learners write expressions using rational exponent notation and evaluate expressions with radical notation. They find the inverse of a function and give the domain. This three-page learning...

In this equations worksheet, students explore mathematical expressions.  They solve algebraic equations with one variable and identify the domain and range.  This five-page worksheet contains detailed notes, examples, and 4...

In this equations as relations worksheet, 9th graders solve and complete 8 different problems that include writing equations as relations. First, they determine the ordered pairs that are solutions for each given equation. Then, students...

In this symbolic logic instructional activity, 11th graders solve 3 different sets of problems related to using symbolic logic. First, they determine the values of y in the given domain set for conjunction and disjunction. Then, students...

In this trigonometry worksheet, students solve functions using the properties of inverse trig. They write out the 6 trigonometric functions in standard position and solve for missing angles. There are 15 questions.

Students solve problems using patterns. In this algebra lesson, students identify the relation, domain and range of a function. They graph functions using coordinate pairs.

In this algebra worksheet, students identify the slope of a line, solve algebraic equations with absolute value, and identify the domain and range of given functions.  This three-page worksheet contains 21 problems.

Take a function along for a ride. Given the graph of a roller coaster track, pupils determine key features of the graph such as the maximum, minimum, intervals of increase and decrease, and roots. They figure out the equation of the...

In 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..

Students investigate, describe, and predict the effects of parameter changes on the graphs of exponential functions; describe limitations on the domains and ranges of these functions; and examine asymptotic behavior.

in this graphing review learning exercise, students solve a variety of problems such as interpreting parabolas, identifying intercepts and asymptotes, and identifying functions. They solve piecewise functions and rational functions. ...

For this college level Pre-Calculus worksheet, students investigate the graphs of the sine and cosine functions. The six page worksheet contains seventy-eight problems. Solutions are not provided. 

In this college level Pre-calculus worksheet, students examine the graphs of the Tangent, cotangent, secant, and cosecant functions.  Students find the intercepts and any asymptotes.   The seven page worksheet contains...

In this algebra activity, students perform transformations on quadratic functions. They describe the different properties of quadratic functions. There are 12 problems.

Students factor and solve quadratic equations. In this algebra lesson, students identify the domain and range of the quadratic function. They graph the parabola and identify the vertex.

Fourth graders extend and continue numerical patterns using function or input/output machines. They finish the increasing patterns using input/output tables, and generalize the rules that apply to the pattern. They complete the...

In this intermediate algebra worksheet, learners solve logarithms, write equations in exponential, logarithm, and exponential form.. They find the sum and difference of logarithms and solve answers to three decimal places.

Students review concepts of logarithms for their test. For this calculus lesson, students review inverse function, limits, derivatives and solving logs equations. They review the chain rule and domain and range of inverse...

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

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

Learners are given a logarithmic function and its inverse exponential function. The task, which is to graph both compositions of the two functions, uses the inverse nature of exponents and logarithms to generalize about the properties of...

Connect geometric sequences to exponential functions. The 26th installment of a 35-part module has scholars model situations using geometric sequences. Writing recursive and explicit formulas allow scholars to solve problems in context.

An outbreak of the swine flu on a school campus has caused an increase in the number of boxes of tissues sold by the school store. In a real-world-modeling activity, pupils use composition of functions to determine how the number of...

Airline mechanics must be precise, or the consequences could be deadly. Their target ranges alter with changes in temperature and pressure. When preparing an airplane for flight, you must read a maintenance graph. The second lesson of...