Sum Rule Teacher Resources
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AP Calculus AB Unit 6: Integration and Accumulation of Change
The 14 lessons in the AP Calculus AB Unit 6: Integration and Accumulation of Change use informative videos to introduce the topic of each lesson and model procedures. Each resource packet includes a video, worksheets, practice solutions,...
Brightstorm
Approximating Area Using Rectangles
Finding area using rectangles—isn't that a little too simplistic for a calculus course? Viewers learn how to approximate area under a curve using rectangles in the first installment of a seven-part video series on the definite integral....
Flipped Math
Calculus AB/BC - Derivative Rules: Constant, Sum, Difference, and Constant Multiple
Use derivatives to find equations of lines. Pupils learn more rules to use as shortcuts to find derivatives. Using the rules, they find the equations of the tangent line and the normal line at a given point. Scholars then apply the new...
Houston Area Calculus Teachers
Collecting Driving Data
Give AP Calculus classes the opportunity to check the accuracy of their calculations! A calculus activity involves the collection of data, the application of mathematics, and the analysis of the accuracy of results. Young mathematicians...
Curated OER
Simpson's Rule
For this Simpson's Rule worksheet, students use the Fundamental Theorem of Calculus to determine the antiderivatives and evaluate integrals. They find the midpoint of given polygons and sketch the graph of the function. This nine-page...
Del Mar College
Quick Reference Card
A neat and organized formula handout makes the circle go round, doesn't it? Full of higher algebra topics, formulas and rules, graphs and definitions—there is a way to support everyone in Algebra II or Pre-Calculus.
Curated OER
Basic Calculus II: Numerical Integration
For this numerical integration worksheet, students approximate the value of an integral using the methods taught in the class. They use left-hand Riemann sums, right-hand Riemann sums, the midpoint method and the trapezoidal rule.
Curated OER
Integration Unit: Riemann Sum
Students investigate Riemann Sums. In this calculus lesson plan, students solve problems involving Riemann sums and Right Riemann Sums.
Curated OER
Derivative Formulas
In this calculus instructional activity, students solve functions using the derivative formulas. There are 26 formulas for them to review and go over.
Curated OER
Numerical Methods of Integration
Students calculate the area under a curve. In this calculus lesson, students estimate and calculate the area of a curve using simpson's rule and the trapazoidal rule. They review rieman sums and add to it.
Curated OER
Application of Delta-Epsilon Definition of the Limit
Students create a Hexaflexagon using a formula. In this calculus instructional activity, students apply the definition of delta epsilon as it relates to limit to create a shape using creases. They relate the same rule to triangles and...
Curated OER
Integrals
In this Calculus worksheet, students evaluate problems with integrals that require the use of the trapezoidal rule, Simpson’s rule and decomposition into partial rations. The two page worksheet contains sixteen problems. Answers are...
Curated OER
Sherlock Holmes' Real Train Adventure
In this calculus worksheet, students use the trapezoid and Simpson's rule to calculate the midpoint sum. They use a specific interval to perform their integration. There are 12 questions.
West Contra Costa Unified School District
Indefinite Integrals
The inverse of matter is anti-matter, so the inverse of a derivative is an antiderivative. The lesson introduces antiderivatives and indefinite integrals to the class along with the notation for integrals. Groups work together to find...
Curated OER
Area Under A Curve
Calculus students use the derivative and integral to solve problems involving areas. They calculate the area under a curve as they follow a robot off road making different curves along the drive, using Riemann Sums and Trapezoidal rules...
Curated OER
Seventeen Various Integral Problems
In this integrals worksheet, students solve seventeen integral problems. One problem covers completing the square, one curve length, one partial fraction decomposition, one Simpson's rule, and several are trigonometric integrals.
Curated OER
Numerical Integration
In this math worksheet, students practice using the number approximations to apply them to the integrations. They compare the numerical methods and graph the results in the data table.
Curated OER
Infinite Series
In this math worksheet, students examine the infinite series. They determine if it diverges or converges. Example 2 and 3 is group work to apply the tests for convergence or divergence.
Krista King Math
The Precise Definition of the Limit Explained!
It's all Greek to me. Young mathematicians learn how to use the epsilon-delta definition of a limit with a video that shows how to find the relationship between epsilon and delta for a given limit equation.
Curated OER
The Right Angle
In this algebra worksheet, 11th graders solve word problems creating a right triangle. Students determine the point and direction this turn of ninety degrees occurs. There are 4 questions with an answer key.
Curated OER
Arithmetic Complex Numbers
Students convert quadratic functions from standard form to vertex form. In this algebra lesson, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
