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Curated OER
Adjectives
In this ESL adjectives worksheet, students analyze 7 pictures that depict objects of different sizes and shapes. Students match these pictures with the adjectives that describe them.
Curated OER
ESL Hobbies Word and Picture Match
In this ESL hobbies vocabulary worksheet, students analyze 10 pictures that show people in leisure activities. Students match each picture with the sentence that describes it.
Curated OER
Scrabble
In this frequency activity, learners use the standard rules for Scrabble to find the abbreviations used on the board. Then, the determine the frequency as stated in the chart shown to represent the correct number of letter tiles.
Curated OER
ADULT ESOL LESSON PLAN--Transportation and Travel
Students practice identifying pictures and words that represent different signs and symbols that deal with different types of transportation/travel (enter, exit, push, pull, men, women, caution, no smoking, no swimming, arrows,...
Curated OER
The Artist as Entrepreneur: Are You Listening?
Young scholars study non-verbal communication through appearance, movements and voice. They evaluate the non-verbal communication of television reporters and then participate in role-play scenarios using non-verbal communication.
Texas Instruments
Texas Instruments: Using Traffic Data to Reinforce Inflection Points in Calculus
Real data from the morning rush on the Chicago expressways is the basis for a piece-wise regression. The students' success depends on their understanding of inflection points. Students need to use the Select command to split the data...
Khan Academy
Khan Academy: Analyzing the Second Derivative to Find Inflection Points
Learn how the second derivative of a function is used in order to find the function's inflection points. Learn which common mistakes to avoid in the process.
Harvey Mudd College
Harvey Mudd College: Concavity and the Second Derivative Test
An excellent tutorial explaining concavity and the second derivative test, including a labeled diagram, examples, and links to a quiz.
Mathematics Archives
Math Archives: Visual Calculus: Graph a Function, Its Second Derivative
This online tutorial site shows that the concavity of a function is related to the second derivative of the function by using an online graphing system. Inflection points are also briefly discussed.
Math Graphs
Houghton Mifflin: Math Graphs: Derivative and Second Derivative [Pdf]
Students use the graph of the derivative to approximate the slope, relative minimum, concavity, and inflection points. The exercise is available in PDF format.
Texas Instruments
Texas Instruments: Diprotic Acid Lab and Easy Data
Maleic Acid gives an excellent diprotic acid titration curve showing both inflection points clearly for calculation of molecular weight.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Analyzing Graphs
Students learn about the features of a graph. Topics include intercepts, extrema, points of inflection, and end behavior. The tutorial explores the calculus concepts through notes and examples. Review exercises and a topic summary are...
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Aplicaciones De La Derivada
In Spanish. In this interactive unit learn how to calculate intervals of growth and decay, maximum and minimum value of a function, the intervals of concavity and convexity and the turning points of a function.
Other
Karl's Calculus Tutor: Applications of Derivatives
This detailed site provides five web pages devoted to the various applications of derivatives. Content includes several examples and learning exercises.
CK-12 Foundation
Ck 12: Statistics: Standard Deviation of a Data Set
[Free Registration/Login may be required to access all resource tools.] Learn about standard deviation of normally distributed data.
Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Multiple Roots
Here is a site that clearly and thoroughly explains the graphs of polynomials with multiple roots. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to...
University of California
U of Ca, Davis: Graphing Functions Using Derivatives
Learn about the graphing of functions through useage of the first and second derivatives.
Other
Representacion Grafica De Funciones
In Spanish. In depth explanations of functions at an advanced level. Includes topics such as concavity, points of inflection and relative maximums and minimums. A great resource for the Spanish speaking student to keep up in the English...
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Puntos Caracteristicos, Criticos Y Singulares
Use this interactive unit to learn and use analysis tools that allow the location and calculation of the extreme value of a function on a closed interval.
Interactive Mathematics
Interactive Mathematics: Curve Sketching
Sketches of functions are drawn by determing important points: x- and y-intercepts, local maxima and minima, and point of inflection. The general shapes of specific functions are illustrated to help identify characteristics of each type...