Curated OER
Intermediate Value Theorem
In this Intermediate Value Theorem worksheet, students identify and explain a continuous function. They use the Intermediate Value Theorem to prove solutions of equations. This two-page worksheet contains three problems.
Curated OER
Average Value of a Function
In this value worksheet, students determine the average amount of money in an account at various period of time. This one-page worksheet contains one multi-step problem. An example and explanation is provided.
Mathematics Vision Project
More Functions, More Features
Learners tackle a wide range of intimidating topics in this comprehensive unit that spans piecewise functions, absolute value of functions, and inverse functions (among other topics). Investigative group work alternates with more...
Concord Consortium
Symbolic Similarity
How many things does one transformation tell you? Learners compare and contrast the graphs of different parent functions with the same transformation. Using a rational and absolute value function, pupils identify key features of their...
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Target M
Your knowledge of graphs is a function of how much you try. Young mathematicians work on a set of 12 questions that covers graphing functions, comparing functions, and rewriting functions in different forms to determine key features....
Curated OER
Average Value of a Function
Students investigate the average value of a function given different interval values. In this calculus lesson, students explore word problems and apply their knowledge of average value to find the answer. They apply previous knowledge to...
Curated OER
Evaluating Functions
In this solving functions worksheet, students compute the answers to given values of a variety of functions. One problem involves absolute value, four involve a complicated exponential value. There are 14 problems in all.
Curated OER
Evaluating Functions
In this evaluating functions instructional activity, 11th graders solve and complete 24 various types of problems. First, they evaluate the functions for the given values. Then, students graph each of piecewise functions. They also write...
Curated OER
Easy Worksheet: Domain and Range
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.
Curated OER
Chapter 2 Practice Test
In this algebra worksheet, students examine and graph linear equation, inequalities, and absolute value inequalities in two variables. The three page worksheet contains forty-six problems. Answers are not included.
Alabama Learning Exchange
Explore the Transformations of Linear and Absolute Value Functions Using Graphing Utilities
Young scholars explore the concept of transformations. For this transformation lesson plan, students use an applet that is an interactive absolute value graph applet. Young scholars manipulate the applet to examine the change in the...
Curated OER
Lesson #2 Absolute Value and Symmetry
Students investigate absolute value functions. In this Algebra II/Pre-calculus/Calculus lesson, students explore the formal definition of absolute value and apply the piece-wise definition to solve inequality problems. Students explore...
Curated OER
Rolle's Theorem and the Mean Value Theorem
Twelfth graders investigate the applications of the mean value theorem. In this calculus lesson, 12th graders apply the concepts of the mean value theorem to real life scenarios problems and relate it to Rolle's theorem. They continue to...
EngageNY
Special Triangles and the Unit Circle
Calculate exact trigonometric values using the angles of special right triangles. Beginning with a review of the unit circle and trigonometric functions, class members use their knowledge of special right triangles to find the value of...
EngageNY
Why Call It Tangent?
Discover the relationship between tangent lines and the tangent function. Class members develop the idea of the tangent function using the unit circle. They create tables of values and explore the domain, range, and end behavior of the...
EngageNY
Getting a Handle on New Transformations 1
In the first of a two-day lesson plan on transformations with matrix notation the class transforms the unit square using general transformations, then calculates the area of the transformed image. They discover it is the same as finding...
Concord Consortium
Sloppy Student II
Doesn't trying two substitutions prove it is equal? Individuals analyze a given polynomial division problem to determine whether the answer is correct. Classmates continue to determine what values to use that show the answer and the...
Flipped Math
Calculus AB/BC - Connecting Multiple Representations of Limits
It's time to put it all together. Viewers of an informative video learn to connect multiple representations of limits. Given algebraic, tabular, and graphical representations of a linear piecewise function, they determine whether a limit...
Illustrative Mathematics
Accuracy of Carbon 14 Dating II
The scientific issue of carbon-14 dating and exponential decay gets a statistics-based treatment in this problem. The class starts with a basic investigation of carbon content, but then branches out to questions of accuracy and ranges of...
EngageNY
End-of-Module Assessment Task - Precalculus (Module 5)
Give your young scholars a chance to show what they've learned from the module. The last installment of a 21-part series is an end-of-module assessment task. It covers basic and conditional probabilities, expected value, and analyzing...
Concord Consortium
Other Road
Take the road to a greater knowledge of functions. Young mathematicians graph an absolute value function representing a road connecting several towns. Given a description, they identify the locations of the towns on the graph.
Radford University
Pizza, Pizza!
Ponder the problem of pizza prices. Pupils use provided information about two different pricing schedules for pizza. They create tables of values and functions to represent the pricing schemes, consider domain restrictions, and identify...
Flipped Math
Calculus AB/BC Mid-Unit 5 Review: Analytical Applications of Differentiation
It's time to put analytical applications to work. Learners use the eight questions of the mid-Unit 5 review to refresh their memories of the key points. Pupils apply what they have learned to use the Mean Value Theorem, find extrema...
Flipped Math
Transformations of Functions, Pt. 1
It is transformational! With the beginning lesson on transformations, pupils learn about vertical and horizontal translations. Scholars see how to graph important points to show the translations and then to write the transformed graph in...
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