CK-12 Foundation
Derivatives with Mean Value Theorem and Rolle's Theorem: Maxima and Minima
Rolle with the mean values and derivatives. Scholars complete the statements of Rolle's Theorem and the Mean Value Theorem. Using the interactive to illustrate scenarios, pupils respond to questions concerning the theorems in terms of...
Mathematics Assessment Project
Modeling Motion: Rolling Cups
Connect the size of a rolling cup to the size of circle it makes. Pupils view videos of cups of different sizes rolling in a circle. Using the videos and additional data, they attempt to determine a relationship between cup measurements...
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...
Curated OER
Solving Problems Using Triangle Inequality Theorem
Sixth graders investigate triangles and the inequality theorem. They will collaborate in groups to determine the length of a longest side of a triangle. Then relate the size of the triangle to its angles using protractors, yard sticks,...
Curated OER
Intervals
In this intervals worksheet, high schoolers determine the coordinates at a point of inflection. They compute the deritative of a function and sketch curves that satisfy given conditions. Students solve equations using the Mean Value...
Curated OER
Roll It! Creating an Entrance Ramp
Students explore the concept of triangles. In this triangles lesson, students are to propose a plan for a ramp at their school. Students use the Pythagorean Theorem and trigonometry to determine the length, height, and angle of the...
Texas Instruments
Mean Value Theorem
Young scholars calculate the slopes of secant lines. In this calculus lesson, students graph tangent and secant lines using the coordinate plane. They use the Ti calculator to graph and observe the lines.
Chapman University
Proof of L’Hospital’s Rule
Understanding how calculus formulas were derived connects learners to the idea that the study of mathematics is continuous and cumulative. Learners will also develop a deeper appreciation for the derivative's application in simplifying...
Curated OER
Pythagorean Theorem
Students solve right triangles using the Pythagorean Theorem. For this solving right triangles using the Pythagorean Theorem lesson, students find the missing side of a right triangle. Students find the hypotenuse given two legs of a...
Curated OER
Lesson #84 Test on Chapter 5
Students review Rolle's Theorem. In this derivatives lesson students review for a chapter test on applications of derivatives. Links to two copies of the test are included with the lesson.
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.
Curated OER
Length of an Arc
Twelfth graders define an arc and find its length. In this calculus activity, 12th graders roll out a circle and measure its length using the same method of a triangle and its hypotenuse. They apply the Pythagorean Theorem to some extent.
Curated OER
Friction Faction
Students create an experiment. In this friction lesson plan, students review the concept of friction and complete a bottle roll activity. Students work in groups to create their own friction experiment.
Curated OER
Genes Count
Students view a video that reviews Mendelian genetics. They discuss the Hardy-Weinberg Law and use Popsicle sticks to simulate genetic variations and ratios in offspring.
Curated OER
Test Chapter 5: Intervals
In this interval worksheet, students identify the largest interval for a given situation. They explore and explain functions, their derivative, relative maximum, and relative minimum. Students graph functions and determine the...
Curated OER
Make a Box
Students use specific dimensions to create a box. In this geometry lesson, students analyze the different properties of two and three dimensional shapes. They make conjectures and use it to solve problems.
Curated OER
Triangles in Architecture
Students find triangles in the real world. In this geometry instructional activity, students analyze and identify properties of two and three-dimensional objects. They differentiate between similarity and congruence.