CK-12 Foundation
Intermediate Value Theorem, Existence of Solutions: Function Exploration
Does the value exist? The interactive allows pupils to visualize the Intermediate Value Theorem. Using the visualization, individuals respond to questions using specific values and general values. The class comes to the conclusion what...
Flipped Math
Calculus AB/BC - Using the Mean Value Theorem
At some point the rate of change must be the average. Pupils first see the definition of the Mean Value Theorem and hear an explanation of it in simple terms. The helpful video then compares the Mean Value Theorem with the Intermediate...
Curated OER
The Intermediate Value Theorem
You and your calculus learners will appreciate this description, discussion, and examples of the Intermediate Value Theorem. Applications of the theorem are also discussed.
Flipped Math
Calculus AB/BC - Intermediate Value Theorem (IVT)
Acquire expert-level knowledge in the Intermediate Value Theorem. Viewers of an informative video learn about the Intermediate Value Theorem. After learning the definition, they consider several examples where they must apply the theorem...
Curated OER
Worksheet 15-Fall 1995
In this math worksheet students use the intermediate value theorem to solve two problems. They find parallel lines that will cut a convex shape into two pieces with equal areas. Students repeat this problem with a concave shape. Students...
Curated OER
Intermediate Value Theorem Problems
In this intermediate value theorem instructional activity, students apply the intermediate value theorem in three problems and state the intermediate value theorem in another problem.
Curated OER
Discussion Sheet 7: Intermediate Value Theorem
In this intermediate value theorem learning exercise, students use the intermediate value theorem to verify that equations are solvable. They find the slope, and determine the height and radius of given figures. Students complete rate...
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.
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...
Curated OER
Worksheet 8, Exponents
In this calculus worksheet, learners analyze one equation by finding the maximum number of zeros. They use Descarte's Rule of Signs and the rational roots theorem. Students use synthetic division to factor the polynomial. Learners solve...
Curated OER
Six Continuity Problems
In this continuity activity, students examine six functions for continuity. Students find values to make a peice-wise function continuous, state domains, use limits, and the Intermediate Value Theorem.
Curated OER
Math 155 - Worksheet 3. Limits
In this limits worksheet, students use the intermediate value theorem to explore intervals. They sketch a graph of the function and determine the correct property of limits to evaluate the limit. This two-page worksheet contains five...
Curated OER
Pythagorean Theorem
In this Pythagorean Theorem worksheet, students explore examples and explanations about the Pythagorean Theorem. Afterward, they apply the Pythagorean Theorem to models and real world story problems. This ten-page worksheet contains...
Curated OER
Challenge Discussion Sheet 2
In this function worksheet, students write a function for the volume of a cube, determine limits using trigonometric functions, sketch graphs, and use the Intermediate Value Theorem to prove solutions of problems. this one-page...
Curated OER
Discussion Sheet 2: Domain and Range
In this domain and range worksheet, students determine the domain and range of a function, compute the limits of a function, and use the intermediate value theorem to verify that an equation is solvable. This one-page worksheet contains...
Curated OER
Worksheet 5: Functions & Limits
In this function worksheet, students determine the limits of functions, sketch graphs, and use the Intermediate-Value Theorem for functions. This two-page worksheet contains twenty-two problems.
Illustrative Mathematics
Temperatures in degrees Fahrenheit and Celsius
Learners investigate the relationship between the Fahrenheit and Celsius temperature scales. Given two data points, they construct a linear function to describe the relationship, find the inverse of the function, and make observations...
Curated OER
Math 155: Worksheet 12. Functions & Intervals
In this function worksheet, students identify all numbers in the interval. They determine open intervals, find the local maximum and local minimum. This two-page worksheet contains eight problems.
EngageNY
Solving Problems Using Sine and Cosine
Concepts are only valuable if they are applicable. An informative resource uses concepts developed in lessons 26 and 27 in a 36-part series. Scholars write equations and solve for missing side lengths for given right triangles. When...
Mt. San Antonio Collage
Quiz 2: Types of Functions
Here is a resource that provides the structure of an assessment with the convenience of a full answer key. The focus is on rational, exponential, and logarithm functions with a few questions on solving polynomials.
Curated OER
Unstable Table
Bothered by a wobbly table? Learn how to fix this problem using concepts of slope and continuity. Pupils first consider the problem in two dimensions and then progress to three dimensions. The solution is really quite simple.
Curated OER
Polynomial Divisions
Students factor polynomials and use long division t solve problems. In this algebra lesson, students find the zeros of polynomials by synthetic and long division. They perform operation using complex numbers.
Curated OER
Quiz: Area of Polygons and Circles
In this area worksheet, students compute the area of each of ten specified shapes. Seven of the shapes are quadrilaterals, one is a circle, and two shapes are triangles.