CK-12 Foundation
Continuity at a Point, Continuity Test, Types of Discontinuity: Properties of Continuous Functions
Take a closer look at continuous functions within given intervals. Using the parent cubic function, learners explore properties of continuous functions on intervals. Pupils interpret the Intermediate Value Theorem and the Extreme Value...
Flipped Math
Calculus AB/BC - Extreme Value Theorem, Global Versus Local Extrema, and Critical Points
It is critical to find all the extreme points. Pupils analyze graphs in the presentation to determine whether there are points that are either maximums and minimums. Using derivatives, learners find out how to find critical points from...
Curated OER
A Valuable Quarter
Your young bankers model an account balance with an exponential function and solve the equation by extracting a root or taking a logarithm. The task involves the context of annual and compounding interest as well as some interesting...
West Contra Costa Unified School District
The Extreme Value Theorem
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.
Inside Mathematics
Sorting Functions
Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...
Curated OER
Extreme Values
Students sketch a picture of what appears on a computer screen. Locate the extreme points on the pictures and label them as maxima or minima. Use the definitions of maxima and minima to explain how you identified the points indicated, if...
Curated OER
Learn to Earn When you Tend to Spend
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,...
Curated OER
Complex Analysis: Complex Functions
In this complex function instructional activity, students examine the properties of integrals of complex functions of a real variable, smooth arcs, and the Jordan Curve Theorem. This two-page instructional activity contains...
Curated OER
Applications of Derivatives: Finding Maxima and Minima
In this calculus worksheet, students are given 10 short-answer problems regarding functions, derivatives, minima, maxima and extremes.
Inside Mathematics
Quadratic (2009)
Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to...
West Contra Costa Unified School District
Exploring Quadratics and Graphs
Young mathematicians first graph a series of quadratic equations, and then investigate how various parts of the equation change the graph of the function in a predictable way.
Curated OER
Calculus 4.4 - Modeling and Optimization
Looking for an interractive presentation for your high schoolers dealing with calculus? Then this PowerPoint is for you! Problems that cover area, volume, and other calculus-related topics are presented. Students are led through the...
CK-12 Foundation
Absolute Versus Local Extrema
Get the class to take an extreme look at functions. The interactive presents a function on a closed interval with a movable tangent line. Using the given function, pupils determine the extrema, critical points, and points of...
Mathed Up!
Completing the Square
Learners review how to use the completing-the-square method to identify maximum and minimum values of a quadratic function by watching a video. They see how the vertex form relates to the extreme values of a quadratic function, and use...
101 Questions
What Micheal’s Coupon Should You Use?
Get your classes on their way to extreme couponing! Young mathematicians analyze two different coupon options for the better deal. They use different scenarios to predict and compare the outcomes.
Curated OER
Study Guide for the Advanced Placement Calculus AB Examination
Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and...
Teach Engineering
Discovering Relationships Between Side Length and Area
Consider the relationship between side length and area as an input-output function. Scholars create input-output tables for the area of squares to determine an equation in the first installment of a three-part unit. Ditto for the area of...
Penn Museum
Penn Museum: China Gallery
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 learning exercise set, your young historians will then learn...
Curated OER
Supplemental Trig Problems
In this supplemental trigonometry worksheet, students determine the indicated limit, identify the tangent for an increasing function, find the relative and absolute extremes and write the formula for an equation and slope of a line. ...
Curated OER
Population Models and Qualitative Analysis, Part 2
In this population model worksheet, students explore models of population growth using the Gompertz growth model and the exponential growth model. They sketch a graph of the slope function and determine possible solutions over time....
Curated OER
Worksheet 24 - Derivative
In this derivative worksheet, students identify second derivatives and find the directional derivative of a function. They also list the extremes and saddle points of a function. This one-page worksheet contains seven multi-step problems.
Curated OER
Multivariable Calculus: Implicit Differentiation
In this implicit differentiation worksheet, students compute the determinant of the Jacobian matrix and solve equations by implicit differentiation. This two-page worksheet contains definitions, examples, and explanations. It contains...
Curated OER
A Design for a Fireplace: Extreme Home Makeover
Pupils examine a relief structure focusing on style, relief, and design. Students discuss and analyze the sculpture Sketch for a Fireplace Overmantel by Francesco Antonio Franzoni. Pupils brainstorm about the current styles of...
Curated OER
Between The Extremes
Students analyze graphs for specific properties. In this algebra lesson, students solve equations and graph using the TI calculator. They find the different changes that occur in each graph,including maximum and minimum.