Lesson Plan
New York State Education Department

TASC Transition Curriculum: Workshop 13

For Teachers 9th - 12th Standards
The six instructional shifts in this workshop definitely move math and science teachers' understanding of instruction. The workshop, 13th out of a series of 15, asks participants to examine sample tests and to look at how the six...
Professional Doc
Transforming Education

Self-Efficacy Strategies

For Teachers K - 12th Standards
Scholars with high levels of self-efficacy perform better in school. Instructors review a list of strategies for enhancing self-efficacy skills. They discover how to teach learners to appropriately define success, celebrate progress, and...
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University of Vienna (Austria)

University of Vienna: Definite Integrals Sine Function

For Students 9th - 10th
A series of trigonometric definite integrals are presented, along with three answers for each question (one correct, two incorrect). After choosing all answers, the site returns a score to judge understanding of definite integrals of the...
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University of Vienna (Austria)

University of Vienna: Definite Integrals Cosine Function

For Students 9th - 10th
A series of trigonometric definite integrals are presented, along with three answers for each question (one correct, two incorrect). After choosing all answers, the site returns a score to judge understanding of definite integrals of the...
Unit Plan
Khan Academy

Khan Academy: Application of Definite Integrals

For Students 9th - 10th
If you have a function representing rate, what does the area under its curve represent? Area under rate function gives the net change. The definite integral of a rate function gives us the net change in the quantity described by the rate.
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: The Definite Integral: Numerical and Graphical Approaches

For Students 9th - 10th
Students learn how to evaluate the definite integral using numerical and graphical approaches. Topics examined are Riemann sums and the definite integral. The tutorial explores the calculus concepts through notes and examples. Review...
Unit Plan
Khan Academy

Khan Academy: Worked Example: Problem Involving Definite Integral (Algebraic)

For Students 9th - 10th
Using definite integral to solve a word problem about the growth in the population of a town.
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Khan Academy

Khan Academy: Analyzing Problems Involving Definite Integrals

For Students 11th
The interpretation of definite integrals as accumulation of quantities can be used to solve various real-world word problems.
Lesson Plan
Other

Metal: Integration [Pdf]

For Teachers 9th - 10th
The resource is a lesson guide that teaches the mathematical concept of integration. The guide brings alive the topic of integration and its applications. Topics include definite integrals, integration with exponential functions, and...
Activity
University of British Columbia

Ubc: The Definite Integral

For Students 9th - 10th
This site is a tutorial on the definite integral.
Activity
Other

Xetc: Integral Definida

For Students 9th - 10th
The concept of definite Integral is presented in an interactive manner. The explanation is detailed and step by step. At the end you will find exercises whose solutions are available.
Handout
Wolfram Research

Wolfram Mathworld: Definite Integral

For Students 9th - 10th
Good site explaining the definite integral. This site also gives the integration rules for Definite Integrals, along with definitions and examples.
Handout
Other

Jfm: The Definition of Riemann Definite Integral

For Students 9th - 10th
This site introduces Riemann definite integral on the closed interval of real. If you are interested in exploring definite integrals, this site may interest you.
Handout
Analyze Math

Analyze Math: Definition of Definite Integrals Riemann Sums

For Students 9th - 10th
The applet examines the definition of the definite integral.
Activity
Texas Instruments

Texas Instruments: Planting & Harvesting an Application of the Definite

For Teachers 9th - 10th
In this Derive activity, students apply the concept of definite integration and decide when a farmer should plant and harvest a crop of clover.
Lesson Plan
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: The Definite Integral: Algebraic Approach and the Ftc

For Teachers 9th - 10th
Students learn how to evaluate the definite integral using an algebraic approach and the Fundamental Theorem of Calculus. Topics examined are the antiderivative, substitution technique, and marginal cost. The tutorial explores the...
Activity
Paul Dawkins

Paul's Online Notes: Calculus I: Integrals

For Students 9th - 10th
The tutorial investigates integrals. Topics discussed are indefinite integrals, area problems, definite integrals, and the substitution rule. Class notes, definitions, and examples with detailed solutions are included. The class notes...
Activity
Interactive Mathematics

Interactive Mathematics: The Definite Integral

For Students 9th - 10th
This demonstration allows you to see the process of finding the definite integral of a function, then put that process to practice in several examples. The definite integral is applied to real world situations such as work and average...
Unit Plan
Wolfram Research

Wolfram Math World: Leibniz Integral Rule

For Students 11th - 12th
This page discusses the Leibniz Integral Rule, which concerns "the differentiation of a definite integral whose limits are functions of the differential variable."
Unit Plan
Khan Academy

Khan Academy: Worked Example Motion Problems With Definite Integrals

For Students 9th - 10th
Remember, anti derivative of acceleration with respect to time is velocity and anti derivative of velocity with respect to time is distance where acceleration, velocity, distance are all functions of t, the time. This concept is very...
Activity
Texas Instruments

Texas Instruments: Accumulation Functions

For Teachers 9th - 10th
In this activity, students examine functions defined by a definite integral. They create tables and graphs for integration functions. They understand the foundation of the Fundamental Theorem of Calculus.
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: La Integral Definida Y La Function Area

For Students 9th - 10th
In Spanish. This interactive unit visually presents the concept of the definite integral and its properties.
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Khan Academy

Khan Academy: Analyzing Problems Involving Definite Integrals

For Students 11th
Given a word problem that involves rates and accumulation, find the appropriate expression for solving the problem.
Activity
Texas Instruments

Texas Instruments: Approximating Integrals With Riemann Sums

For Teachers 9th - 10th
In this activity, students calculate Riemann sums. They demonstrate when the Riemann sums will over-approximate a definite integral. They also observe the convergence of Riemann sums as the number of subintervals get larger.