CK-12 Foundation
Properties of Definite Integrals
Close your eyes and visualize a definite integral. An interactive provides a visualization of a function and definite integral on a closed interval. Pupils move one point of the interval in either the positive or negative direction....
Curated OER
Worksheet 30 - Definite Integrals
In this integral worksheet, students find the volume of solids, compute definite integrals, and identify the limit of the terms. This one-page worksheet contains 7 multi-step problems.
Curated OER
Worksheet One - Definite Integral
In this definite integral worksheet, students use substitution to simplify integrals. They find the values of the upper and lower points and interpret points found on a graph. Students solve this two-page worksheet.
EngageNY
Definition of Congruence and Some Basic Properties
Build a definition of congruence from an understanding of rigid transformations. The lesson asks pupils to explain congruence through a series of transformations. Properties of congruence emerge as they make comparisons to these...
West Contra Costa Unified School District
Derivative – Standard Definition
Making a clear connection to algebra concepts helps learners understand the definition of a derivative. The lesson plan begins with looking at limits of simple linear and rational functions, and leads to the definition of...
Flipped Math
Calculus AB/BC - The Fundamental Theorem of Calculus and Definite Integrals
Learning about definite integrals is fundamental to any calculus course. The eighth of 16 parts in Unit 6 - Integration focuses on the Fundamental Theorem of Calculus. Scholars first see how to find antiderivatives, then discover how to...
Flipped Math
Calculus AB/BC - Applying Properties of Definite Integral
Properly apply the properties of integrals. By watching a video, scholars learn about the properties of definite integrals. They see how to use the area under a curve and the properties to determine the value of a given definite integral.
Curated OER
Sudoku Puzzle: Definite Integrals
In this Sudoku worksheet, students first solve 36 definite integral problems and then place them into the puzzle. The remainder of the Sudoku is left to solve.
CK-12 Foundation
Definition of Inverse Functions
Investigate the definition of inverse functions graphically. Using the interactive, scholars create a graph of a function and view its resulting inverse. They then determine whether a group of functions have inverses that are also...
Illustrative Mathematics
What Shape Am I?
Sharpen your pencil and grab a ruler, it's time to draw some quadrilaterals! Given the definition of a parallelogram, rectangle, and rhombus, learners draw examples and nonexamples of each figure. The three definitions are...
Curated OER
Extending the Definitions of Exponents, Variation 2
Introduce the concept of exponential functions with an activity that extends the definition of exponents to include rational values. Start with a doubling function at integer values of time, then expand table to include frational time...
El Paso Community College
Geometry Definitions
Geometry is full of shapes, figures, and corresponding things here and there. The guide shares all of the key pieces of geometric information in a nicely color-coded and labeled sheet.
Curated OER
Definite Integral
Learners investigate the intervals represented by a function in this calculus instructional activity. They decide what interval of the function will be positive, negative or zero. They are then given graphs of functions and asked to...
Curated OER
Applications of Definite Integrals
In this definite integral learning exercise, students explore different types of integrals and determine the length of a curve. This one-page learning exercise contains eight multi-step problems.
Curated OER
Worksheet 29 - Integrals
In this integral worksheet, students evaluate definite integrals and sketch regions of integration. This one-page worksheet contains 10 multi-step problems.
Curated OER
Nine Definite Integrals and Fundamental Theorem Of Calculus Problems
In this definite integral worksheet, student find the value of five definite integrals. Student then explain why a definite integral inequality holds true. Finally, students are given the graph of a functions and asked to...
Curated OER
Properties of the Definite Integral
In this definite integral learning exercise, students explore the relationship between integrals and examine the properties of the definite integral. This two-page learning exercise contains six problems.
Curated OER
Connecting Riemann Sums to the Definite Integrals
In this math worksheet, learners examine the relationships between Riemann sums and definite integrals. They define the Riemann sums and find area using them.
Curated OER
Properties of the Definite Integrals
In this math worksheet, students investigate the properties of definite integrals. Then they apply the properties and compare sets of two integrals to each other.
EngageNY
The Definition of a Parabola
Put together the pieces and model a parabola. Learners work through several examples to develop an understanding of a parabola graphically and algebraically.
EngageNY
Formal Definition of a Function
Formalize the notion of a function. Scholars continue their exploration of functions in the second lesson of the module. They consider functions as input-output machines and develop function rules for selected functions.
Flipped Math
Lines and Angles
Develop a sense of understanding. Pupils learn eight definitions dealing with types of lines and angles formed when two lines are crossed by another line. Learners use the definitions to identify the lines and pairs of angles in figures...
Curated OER
The Limit Definition of a Definite Integral
In this calculus worksheet, students calculate the derivative and integral of different functions. They use interval to mark the beginning and end of their calculations. There are 15 questions with an answer key.
Curated OER
Worksheet 28 - Definite Integrals
In this integral worksheet, students compute definite integrals, sketch line segments and shade regions for the integrals. This one-page worksheet contains six multi-step problems.
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