Grade Level
« All Grades
Lower Elementary
Kindergarten
First grade
Second grade
Upper Elementary
Third grade
Fourth grade
Middle School
Fifth grade
Sixth grade
Seventh grade
Eighth grade
High School (31)
Ninth grade
Tenth grade
Eleventh grade
Twelfth grade (31)
Subject
« All Subjects
Math
Precalculus and Calculus
Integrals (31)
area (Integrals) (8)
Riemann Sum (3)
Fundamental Theorem of Calculus (6)
rectangle approximations (3)
definite integral (6)
antiderivatives (1)
graphical analysis (2)
Trapezoidal Rule (1)
Filters:
Integrals
Master Teacher lessons
Community content
(3)
Now showing
1 to 15
of 31 results
There are 31 results
Page
of 3
Easy as ABC - Areas Between Curves
12th Grade Math
»
Unit: Applications of Integration
12th Grade Math
»
Unit: Applications of Integration
Jason Slowbe
Temecula, CA
Environment: Suburban
Big Idea:
What if the x- or y-axes do not bound the region? Today we compute areas between two functions as a natural extension of definite integrals.
Standards:
MP1
MP1
MP3
MP3
MP7
MP7
Favorites
(2)
Resources
(23)
Reflections
(1)
Volumes of Solids of Revolution (part 1 of 4)
12th Grade Math
»
Unit: Applications of Integration
12th Grade Math
»
Unit: Applications of Integration
Jason Slowbe
Temecula, CA
Environment: Suburban
Big Idea:
What happens when you integrate an Area formula? You get a Volume formula! Today we delve into 3-dimensional calculus.
Standards:
MP1
MP1
MP4
MP4
MP7
MP7
Resources
(17)
Volumes of Cross-Sectional Solids (part 3 of 4)
12th Grade Math
»
Unit: Applications of Integration
12th Grade Math
»
Unit: Applications of Integration
Jason Slowbe
Temecula, CA
Environment: Suburban
Big Idea:
Hard to visualize 3D solids? Let’s build some! Today students construct models and use them in computing volumes of cross-sectional solids.
Standards:
MP1
MP1
MP3
MP3
MP5
MP5
MP6
MP6
MP7
MP7
Favorites
(1)
Resources
(21)
Reflections
(1)
Applications and Problem Solving with Volumes of Solids (part 1 of 2)
12th Grade Math
»
Unit: Applications of Integration
12th Grade Math
»
Unit: Applications of Integration
Jason Slowbe
Temecula, CA
Environment: Suburban
Big Idea:
When will I ever use this? Today we encounter applications and problem solving with volumes of solids familiar to students.
Standards:
MP1
MP1
MP4
MP4
MP5
MP5
MP7
MP7
Favorites
(2)
Resources
(23)
Reflections
(1)
Areas Between Curves - dx or dy?
12th Grade Math
»
Unit: Applications of Integration
12th Grade Math
»
Unit: Applications of Integration
Jason Slowbe
Temecula, CA
Environment: Suburban
Big Idea:
For some regions, integrating with respect to x is more complicated. Integrating with respect to y can help.
Standards:
MP1
MP1
MP3
MP3
MP4
MP4
MP7
MP7
Resources
(21)
Wait, the Interval Width Varies?
12th Grade Math
»
Unit: Full Course Review via Motion
12th Grade Math
»
Unit: Full Course Review via Motion
Jason Slowbe
Temecula, CA
Environment: Suburban
Big Idea:
How can we interpret integrals with function limits of integration? Tables & graphs supplement symbolic representations for understanding.
Standards:
MP2
MP2
MP4
MP4
MP6
MP6
Resources
(25)
Advanced Related Rates and the Mean Value Theorem (Part 2 of 4)
12th Grade Math
»
Unit: Applications of Differentiation, Part 2
12th Grade Math
»
Unit: Applications of Differentiation, Part 2
Jason Slowbe
Temecula, CA
Environment: Suburban
Big Idea:
The Mean Value Theorem is one of the most important in all of calculus. Today we begin to make its importance obvious to students.
Standards:
MP1
MP1
MP2
MP2
MP3
MP3
MP4
MP4
MP6
MP6
MP7
MP7
MP8
MP8
Resources
(18)
u-Substitution (Part 1 of 2)
12th Grade Math
»
Unit: The Integral
12th Grade Math
»
Unit: The Integral
Jason Slowbe
Temecula, CA
Environment: Suburban
Big Idea:
Integrate sin(x)cos(x). Double angle sine? Or treat cos(x) like the chain rule? Today we introduce u-substitution to “undo” the chain rule.
Standards:
MP1
MP1
MP2
MP2
MP5
MP5
MP7
MP7
Favorites
(2)
Resources
(17)
Variable Limits of Integration and the Fundamental Theorem of Calculus
12th Grade Math
»
Unit: Applications of Integration
12th Grade Math
»
Unit: Applications of Integration
Jason Slowbe
Temecula, CA
Environment: Suburban
Big Idea:
An integral with a variable limit of integration equals another function. So what is the derivative of such an integral? Let’s investigate…
Standards:
MP1
MP1
MP3
MP3
MP5
MP5
MP7
MP7
Resources
(22)
Reflections
(1)
u-Substitution (Part 2 of 2)
12th Grade Math
»
Unit: The Integral
12th Grade Math
»
Unit: The Integral
Jason Slowbe
Temecula, CA
Environment: Suburban
Big Idea:
Can there ever be several choices for u that work? Today we explore various options and considerations for productive choices for u.
Standards:
MP1
MP1
MP7
MP7
Resources
(23)
Reflections
(1)
Rectangular Approximation Methods
12th Grade Math
»
Unit: The Integral
12th Grade Math
»
Unit: The Integral
Jason Slowbe
Temecula, CA
Environment: Suburban
Big Idea:
Computing area under linear functions is easy. But what about curvy functions? Summing an infinite number of rectangles offers a solution.
Standards:
MP1
MP1
MP2
MP2
MP3
MP3
MP6
MP6
Favorites
(2)
Resources
(22)
Volumes of Cross-Sectional Solids (part 1 of 4)
12th Grade Math
»
Unit: Applications of Integration
12th Grade Math
»
Unit: Applications of Integration
Jason Slowbe
Temecula, CA
Environment: Suburban
Big Idea:
No matter how you slice it, computing volumes of cross-sectional solids is a blast! Today we introduce another application of integration.
Standards:
MP1
MP1
MP4
MP4
MP6
MP6
MP8
MP8
Favorites
(1)
Resources
(19)
Meet My Friend Riemann
12th Grade Math
»
Unit: Full Course Review via Motion
12th Grade Math
»
Unit: Full Course Review via Motion
Jason Slowbe
Temecula, CA
Environment: Suburban
Big Idea:
Students reconsider the task of approximating areas under curvy functions, then improve their approximations to perfection. Hello integrals!
Standards:
MP2
MP2
MP6
MP6
Favorites
(1)
Resources
(25)
Volumes of Solids of Revolution (part 3 of 4)
12th Grade Math
»
Unit: Applications of Integration
12th Grade Math
»
Unit: Applications of Integration
Jason Slowbe
Temecula, CA
Environment: Suburban
Big Idea:
Students reach mastery with solids of revolution at different times. Today we differentiate and extend this topic to challenge all students.
Standards:
MP1
MP1
MP2
MP2
MP4
MP4
MP7
MP7
Favorites
(1)
Resources
(17)
Volumes of Solids of Revolution (part 4 of 4)
12th Grade Math
»
Unit: Applications of Integration
12th Grade Math
»
Unit: Applications of Integration
Jason Slowbe
Temecula, CA
Environment: Suburban
Big Idea:
Why is a sphere’s volume 4/3 pi*r^3 ? Why is a cone’s volume 1/3 pi*r^2*h? How can we split a solid into thirds? Calculus has the answers.
Standards:
MP1
MP1
MP2
MP2
MP3
MP3
MP4
MP4
MP5
MP5
MP7
MP7
Resources
(16)
Reflections
(1)
Now showing
1 to 15
of 31 results
Page
of 3
BetterLesson
Home
Browse
Standards
Master Teacher
Lessons
Community
Lessons
sign up
or
log in
BetterLesson
search
BetterLesson
Home
Browse Standards
sign up
log in
Something went wrong. See details for more info
Nothing to upload
details
close
Link:
E-mail Addresses:
Message (optional):
Send Invites