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#Second fundamental theorem of calculus practice problems how to
#Second fundamental theorem of calculus practice problems series

Then they mix geometry and algebra to find formulas for figures with variable shape. Area vs Perimeter - Students use their Pythagorean Theorem kung fu to find the area and perimeter of several shapes.Then they work to discover the distance formula which they get to try out. Distance Formula - Students review and practice the Pythagorean Theorem.Then they prove the Pythagorean Theorem from scratch by rearranging triangles inside a larger square. Pythagorean Theorem Proof - Students learn the Pythagorean Theorem and find the length of some missing sides.Once they have the hang of things they get to create their own animation. Then they animate the stick man using sliders. Animation - Students are guided to draw a stick man using tables of points.They grade some sample solutions and try to generalize. Monty Hall Problem - Students find the best strategy for the Monty Hall Show.Students also get a chance to explain their reasoning on some questions that they might not think of as math problems.

Thinking Mathematically - This activity introduces some expectations for writing in a math course.

Students will set up a formula for the area of the pen and then use Desmos to find the maximum area.

The Biggest Pen - Students will help Bessy the cow to build her dream pen by finding the dimensions that will maximize the area of the pen.

Along the way they create their own models and find the minimum possible cost. They have to decide whether to cut across the asphalt (which is more expensive per foot) or to go around. Laying Cable - Students are tasked with the problem of laying cable across a parking lot.To accomplish this task they collect data and then fit a model to the data. Squares in a Grid - Students are challenged to find the number of squares inside a grid pattern.Then they get to try slicing another shape and finding a model for the number of regions.

#Second fundamental theorem of calculus practice problems how to

Students learn how to use the curve fitting features of Desmos.

Circle Slicing - Students collect data and find a model for the number of regions that can be obtained by slicing a circle using straight lines.

#Second fundamental theorem of calculus practice problems series

Change of Heart - Transformations - Practice transformations of graphs that are not functions as they progress through a series of challenges.

A Growing Population - Students compare and contrast linear growth and exponential growth.

Mostly the activity focuses on how to use Desmos to explore these functions.

Exponential and Logarithmic Functions - Students get a bit of practice investigating exponential and logarithmic functions.

Then students create and interpret their own linear inequalities to describe the relationship between variables in a story problem.

Linear Intequalities - Students identify the equation of a linear inequality based off of a graph.

Students are challenged to create their own functions to model certain situations.

Intro to Functions - This activity introduces function notation and helps students to learn how to use Desmos to evaluate functions.

Awkward Urinal Situations - Learn about the floor function and ceiling function as you model a men’s room that is reaching capacity.

Allowable Dating Ages - Use inverse functions and inequalities to explore a mathematical model of appropriate dating ages.

Die Hard Water Problem - Can you get 4 L from an 8 L container and a 5 L container?.Visible Points - Explore which lattice points have an unimpeded view of the origin.Ready for Calculus? - Students practice some of the basic algebra tasks that will be required in Calc 1.5.2 Second Fundamental Theorem of Calculus.4.4 First Fundamental Theorem of Calculus.1.7 Limits, Continuity, and Differentiablility.I will keep this post updated as I add new activities. Below is a collection of all of the Desmos Activities that I have created.