Continuous Function Teacher Resources
Find Continuous Function educational ideas and activities
Showing 1 - 20 of 81 resources
Mean Value Theorem
Sal spends most this video explaining what the Mean Value Theorem says in a very intuitive way. He follows this with a concrete example of finding the value of a function on a closed interval where the slope is the same as the average slope of the function over that interval.
17 mins 11th - Higher Ed Math 3 Views 1 Download
In this continuous function worksheet, students determine the average velocity of objects over given intervals of time. They compute the derivative of functions and determine the slope of a line. This four-page worksheet contains approximately 25 multi-step problems.
12th - Higher Ed Math 3 Views 4 Downloads
Choosing a Cell Phone Plan
Here is an activity that should catch the attention of your class! It focuses on the real-world problem of selecting the best cellular phone plan. This exercise would be especially good to use when introducing piecewise functions. Learners compare costs for various data plans, considering such features as unlimited talk and unlimited texts, to determine which plan is the most cost effective for different scenarios.
7th - 10th Math 37 Views 71 Downloads CCSS: Designed
Graphical Consequences of Continuity
Students explore and examine the continuity of three functions: horizontal zooming, polynomial function, and oscillating functions. They practice graphing functions, generating tables and navigating the zoom, vars and test menus on their graphing hand held calculators.
8th - 12th Math 7 Views 17 Downloads
Math may have one right answer, but there can be multiple ways to find that answer. Input and output are the foundation of functions, and this activity allows pupils to chose their method to solve for a future output. Bring this activity into your classroom and let your learners practice with graphing, tables, or equations to find the solution from given data.
7th - 9th Math 3 Views 6 Downloads CCSS: Designed
Challenge Sheet 5: Integration
In this integration worksheet, students use any method to integrate given problems. They identify a continuous function and determine the area of a triangle inscribed in a square. This one-page worksheet contains seventeen problems.
11th - Higher Ed Math 3 Views 0 Downloads
Learners investigate the intervals represented by a function in this calculus lesson plan. They decide what interval of the function will be positive, negative or zero. They are then given graphs of functions and asked to analyze it.
9th - 12th Math 3 Views 2 Downloads CCSS: Designed
Neurons and the Nervous System
The highlight of this series is activitiy #4. Anatomy pupils examine slides of three unknown cells. With the function of the nervous system in mind, they consider the structure of each and try to guess which one is part of that system. In other activities, they examine the nervous system of earthworm and grasshopper specimens, or they study drawings of different animal nervous systems.
7th - 12th Science 26 Views 109 Downloads
Proof: lim (sin x)/x
By looking the expression (sin x)/x that is not defined at the limit value of 0, Sal uses the squeeze theorem to show that the function can by bound between two other functions that are defined at limit value so the limit can indeed be found.
18 mins 11th - Higher Ed Math 3 Views 0 Downloads
Limit Examples w/ brain malfunction on first prob (part 4)
Sal explores more complex limit problems including showing how to take the limit of an expression with a square root by using the conjugate and how to simplify trigonometric functions that are part of limit problems. Note: A mistake is made on the last step of first problem where multiplication should have been used instead of addition, resulting in the correct answer of 3/16.
15 mins 11th - Higher Ed Math 3 Views 1 Download
Limit Examples w/ brain malfunction on first prob (Part 4)
Sal explores more complex limit problems including showing how to take the limit of an expression with a square root by using the conjugate and how to simplify trigonometric functions that are part of limit problems. Note: A mistake is made on the last step of the first problem where multiplication should have been used instead of addition, resulting in the correct answer of 3/16.
15 mins 11th - Higher Ed Math 3 Views 0 Downloads
Multivariable Calculus: Limits of Multivariable Functions
In this multivariable function worksheet, students find the limits of a function, identify the domain, and explore continuous functions. This two page worksheet contains explanations, definitions, and examples. There are approximately four multi-step problems in this worksheet.
Higher Ed Math 3 Views 4 Downloads
Clarification and Extra Problems for Homework 10: Metric Space
In this metric space worksheet, students define a compact metric space, and explore continuous functions. They prove a function converges uniformly. This one-page worksheet contains six problems.
12th - Higher Ed Math 3 Views 0 Downloads