Calculus Teacher Resources
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Even More Calculus
In this calculus instructional activity, 12th graders differentiate and integrate basic trigonometric functions, calculate rates of change, and integrate by substitution and by parts. The twenty-two page instructional activity contains explanation of the topic, numerous worked examples, and sixteen multi-part practice problems.
12th Math 5 Views 36 Downloads
Fundamental Theorems of Mathematics
There are four fundamental theorems of mathematics: arithmetic, algebra, calculus, and linear algebra listed here. Each one is described on this poster or handout. The challenge for a student of math is to figure out why they are true.
9th - Higher Ed Math 3 Views 3 Downloads
Calculus: Derivatives 1 (new HD version)
Sal defines the term derivative by taking the listener on a well-organized tour of slope. First, he reviews the concept of slope of a line from algebra, then extends this idea to look at the slope of the curve by first examining a secant line to the curve and then using our knowledge of limits, defining the limit as _x approaches zero to get the slope of the tangent line to the curve.
16 mins 11th - Higher Ed Math 3 Views 0 Downloads
The Beach Race - ID: 8320
Students are introduced to a scenario of a beach race in which the equation to be figured out is should the contestant aim to land on the beach to minimize their total time for the race. They solve this optimization problem involving different levels of calculus.
9th - 12th Math 3 Views 19 Downloads
Using Slope Fields
Twelfth graders investigate slope fields. In this Calculus lesson, 12th graders identify whether a slope field appropriately reflects a differential equation by matching. TI-83 Plus/TI-84 Plus and appropriate programs are required to complete the lesson.
12th Math 6 Views 23 Downloads
Moving Rectangular Objects around Corners
Learners compute the longest piece of furniture that can be taken around a corner. In this application of calculus problem, students use their TI-84 calculator to compute the size of the largest piece of furniture that can be taken around two corners.
11th - 12th Math 3 Views 11 Downloads
Graphing with Calculus
In a problem where you are not given the original function, but rather only three known points on the graph and a few additional pieces of information about when the first and second derivatives are positive or negative, Sal shows how you can draw an approximate graph of the original function.
10 mins 11th - Higher Ed Math 3 Views 0 Downloads
Optimization with Calculus 3
Using what one learned about finding the minimum and maximum of functions, the optimization problem to find two numbers whose product is -16 and whose sum of squares is a minimum is solved. Sal starts by writing the equations and defining them in terms of only one variable, then finds the minimum point by using the first derivative, and finally proves he has a minimum point by finding the second derivative.
17 mins 11th - Higher Ed Math 3 Views 0 Downloads
Applications of Integrals
Twelfth graders investigate applications of integration. In this Calculus lesson, 12th graders use the TI-89 to explore various problem solving techniques including symbolic, graphical, and numeric methods of solving applications of integrals.
12th Math 6 Views 15 Downloads