Here is an activity that presents a real-world problem about the relationship between crude oil production and the gas mileage of modern automobiles. After learners write functions to describe the relationships, they are asked to...

Finding the critical numbers of a function can be extreme. The lesson introduces the Extreme Value Theorem to the class with a graph. Pupils then have an opportunity to practice determining the values using an algebraic function.

Parent functions and their combinations create unique graphical designs. Learners explore these relationships with a progressive approach. Beginning with linear equations and inequalities and progressing to more complex functions,...

We seem to keep missing each other. A short task provides pupils with a quadratic function, as well as a linear function with a missing coefficient. They must determine the value of the coefficient for which the graphs do not intersect.

Accumulate the content so far. Learners review the content from the first five lessons dealing with accumulation functions. The eight problems go over finding maximums, minimums, concavity, points of inflection, and intervals of increase...

For this calculating intervals worksheet, students calculate intervals using Stokes' Theorem. They justify their answers with words and pictures. This two-page worksheet contains 3 multi-step problems.

In this gradient vector fields worksheet, students use Maple to examine vector fields. They identify functions which are vector fields. This one-page worksheet contains two multi-step problems.

The djinni in this resource offers gold coins. Learners use the properties of exponents to make their decision as one offer increases exponentially. This makes a great group project. As the commentary suggests, start by having groups...

This traditional textbook style unit includes vocabulary, a direct explanation section, examples, practice problems that directly line up with the explanations and examples, and a unit summary review and practice problems. Learners get...

Here is a learning exercise that takes all aspects of quadratic functions and incorporates imaginary numbers into the problems. The problems range from simplifying to graphing and solving by using a variety of methods with imaginary and...

Fibonacci is an interesting sequence that forms some unique patterns. Learners explore sequences that do not have the typical arithmetic and geometric patterns. They identify the pattern and find the next consecutive terms....

Multiply the ways your scholars can find the quotient with polynomial division. A lesson introduces polynomial division via long division, synthetic division, generic area model, and using the definition of division. Learners then...

Challenge the class to devise a method to determine the dimensions of a rectangle inscribed in another rectangle. Pupils make connections between functions and geometry as they examine the area and perimeter of a square or...

Discover how to find the value of an interest-bearing account. Individuals watch a video to learn how to use exponential functions to model compound interest. After the video, they complete a instructional activity of problems on...

See how estimation is essential to making temperature weather maps. Scholars use ratios and rates of change to estimate temperatures at locations where temperature readings have not been made. They connect this idea to linear functions.

How hard can it be to measure out two pounds? A short performance task introduces a situation where a balance scale is broken. It gives a method for measuring out two pounds and asks learners to evaluate the procedure. They must prove...

Learners create patterns in a table to mimic the function of an electronic spreadsheet. The result is a table that creates an addition table for decimals in intervals of one-tenth. While creating the pattern, pupils must thoroughly...

In this problem solving worksheet, 6th graders determine if 4 functions are exponential growth or decay, sketch 4 graphs and compare 2 sets of functions. Students write the rule, linear or exponential, for 4 tables.

In this limit problems learning exercise, learners solve 28 limits problems.  Students find the limits of various functions as x approaches a certain number.  Learners solve a sudoku puzzle with their answers.

Students will solve exponential function problems, graph exponential functions, find the value of logarithms, determine future value, and compound interest. For this Pre-calculus lesson, students will use the properties of logs to solve...

In this problem solving activity, learners solve a variety of problems.  Problems include topics such as rate, time, similar figures, volume, and functions.  This one-page activity contains ten multiple-choice problems. ...

In this algebra worksheet, 11th graders reduce each-radical into its simplest radical form. They solve exponential functions as they rewrite them into exponents. There are 20 questions.

In this algebra worksheet, students solve exponential functions using common bases. They have to solv for the missing variable. There are 20 questions.

In this domain and range worksheet, students solve 4 short answer problems. Students find the domain and range of various functions given an equation, table of values, or graph.