23 results
10th grade calculus laboratories
Volumes of Solids with Known Cross Sections - An Exploration in Calculus
One of the topics that is difficult for students to grasp is finding the volume of a solid with a known cross section. One reason is that students have difficulty with this topic is that they have difficulty drawing the solid. In this activity the students get to build eight different "solids.”This activity focuses on finding the volume of solids that are built on a two-dimensional surface when cross section cut perpendicular to a known shape. The activity uses the region bounded by the x-axis,
Grades:
10th - 12th, Higher Education
Types:
Also included in: Calculus - Volume using Known Cross Sections Bundle
Area of Polar Regions Coloring Page Activity / Project Calculus II / BC
Help students explore area between polar curves using this coloring page activity. This activity can easily be turned into a project for students to complete on their own or an in-class activity. This activity covers AP Calculus BC Topics9.8 Find the Area of a Polar Region or the Area Bounded by a Single Polar Curve9.9 Finding the Area of the Region Bounded by Two Polar CurvesThis activity includes two interactive coloring pages and an extensive key that maps how to find the area of each region
Subjects:
Grades:
10th - 12th
Types:
Calculus - Volume Bundle
This bundle contains seven products that can be purchased separately in my store:· Activity Sheet on the Volume a Solid of Revolution· Activity Sheet on Volume of Solids with Known Cross Sections· Practice Finding the Volume of Solids with Known Cross Sections· Volume Matching Cards· Volume of Solids with Known Cross Sections—An Exploration· Graphic Organizer for Finding Volume· Volume of a Solid with a Known Cross Section—How to Do It Check the description on each individual product for further
Grades:
10th - 12th, Higher Education
Types:
Divergent & Convergent Series Card Sort Word Scramble - 10:1-9 Review AP Calc BC
Help students review infinite series with the fun card sort word scramble activity. All questions in this word scramble activity are aligned to AP Calculus sections 10-1, 10-2, 10-3, 10-4, 10-5, 10-6, 10-7, 10-8, and 10-9. Students will work to determine if each infinite series is divergent or convergent and then work to unscramble the letters on each series to reveal two mystery words.
Subjects:
Grades:
10th - 12th
Calculus - Match the Graphs of f, f ', and f "
This set of 100 cards (25 sets of 4) can be duplicated on card stock and then cut apart for a great cooperative learning activity in Calculus. Duplicate the pages in the landscape mode so the cards are slightly larger. Each set of four cards includes:• a graph of a function, • a graph of a derivative of a function, • a graph of the second derivative of a function, and • an algebraic description of a function.Each of the four cards has been numbered with a random number between 1 and 75. A key
Grades:
10th - 12th, Higher Education
Types:
Calculus - Average Value of a Function - An Exploration
As part of the AP Calculus course description students need to understand what it means to find the average value of a function. This activity incorporates the graphing calculator to develop an understanding for the average value of a function. Students draw graph for four functions to view all the function values between two x values. Since students understand that they find an average for a set of numbers by dividing the sum of the numbers by the total number of numbers, this lesson begins by
Grades:
10th - 12th, Higher Education
Types:
Also included in: Calculus - Bundled Lessons on The Average Value of a Function
Maximizing Volume: Cubic Functions (popcorn lab)
Student will create boxes from graph paper. Their goal is to make a bog with the biggest volume possible. They will then determine an equation representing the volume of a box. They'll use a graphing calculator to determine the maximum volume and height of the box as well as the domain and range. at the end of the activity they will determine how many pieces of popcorn could fit in their box. the teacher will then give them popcorn to snack on. This activity is a HIT! especially with those
Subjects:
Grades:
10th - 12th
Types:
Integrals: 5 Geometer's Sketchpad (GSP) Files
The preview file is one of the five files--so you can get one of them free!
Since Teachers Pay Teachers does not support .gsp files, the preview file is a .gsp file that can be extracted from a (supported) .zip file.
(Please rate the preview file if you do use it, thanks!)
You will download a .zip file from which 5 .gsp files can be extracted. .gsp files can be used only with Geometer's Sketchpad, so please make sure you have the appropriate software before downloading.
The five files:
- Rie
Grades:
10th - 12th
Types:
Also included in: Calculus AB Resources (discounted bundle)
Polynomial Labs (Quadratics, Cubics, etc.) including Catapults!
This lab includes two versions of a catapult lab (calculus based and non-calculus based). Students work in groups to collect data on a ball launched using a catapult. Students create regression equations using a graphing calculator or spreadsheet.
Also included is a painted cubes lab that includes 4 types of functions.
Courses: algebra 1, algebra 2, pre-calculus, calculus
Here are links to my other algebra projects:
Click Here to see my project: Indirect Measurement Labs
Click Here to see
Subjects:
Grades:
8th - 12th, Higher Education, Adult Education
Types:
Calculus-Making Observations about the Function and Its Derivatives from Graphs
This discovery activity is made up of 5 part plus a closing question.Part I: Students graph a function and its derivative. From the two graphs students observe that when the graph of the derivative of y1 is positive the graph of y1 is increasing and that when the graph of the derivative of y1 is negative the graph of decreasing. Part II: In part I students studied a function with a minimum. In this part students will repeat the same observations but with a function that has a maximum. Part III:
Grades:
10th - 12th, Higher Education
Types:
Chain Rule Practice Worksheet
** BE SURE TO CHECK OUT MY OTHER WORKSHEETS! **
- *50* Questions!
- *COMPLETE* Solutions!
If you want to move on to more complex mathematics, you need to get certain topics out of working memory. This is my goal in all of my worksheets - to help students learn a particular techniques or topics to the point where it's automatic and they don't have to think about it, so that they can achieve more on the advanced topics.
This is a worksheet that covers one topic - the chain rule in differe
Subjects:
Grades:
10th - 12th, Higher Education, Staff
Types:
Calculus - Definition of a Derivative - Using the Rule of 4
This activity incorporates the graphing calculator to help students understand the definition of a derivative. Students in AP Calculus and Calculus should be studying the concepts in Calculus graphically, numerically, verbally and analytically ( which is also known as the rule of 4). This activity sheet will help develop the student’s conceptual understanding of the definition of a derivative in these four ways:• Students create graphs and tables of a function and a difference quotient. As th
Subjects:
Grades:
10th - 12th, Higher Education
Types:
Calculus - How Can One Graph Help Describe Another Graph?
This activity incorporates the graphing calculator to help students understand how the behavior of one graph can describe the behavior of another function. Three related equations are entered in y1, y2, and y3 in the graphing calculator. • The original function is entered in y1. • An expression that represents the derivative of y1 is entered in y2. • An expression that represents the derivative of y2 is entered in y3. After graphing y1, y2, and y3 in the same window, a series of questions a
Grades:
10th - 12th, Higher Education
Types:
Alg 1 - Exponential Growth - An Exploration on the Graphing Calculator
This class activity engages students in modeling exponential growth and decay using the RandInt command on the TI84 graphing calculator.
Subjects:
Grades:
10th - 12th
Types:
Calculus - Understanding The Derivative Numerically
This activity incorporates the TI84 and TI84C Graphing Calculator to study how the three difference quotients approach the same limit. Students write equations to match sets of table values as the limit of h approaches zero.
Subjects:
Grades:
10th - 12th, Higher Education
Types:
Also included in: Calculus - Understanding the Derivative Bundle
Calculus - Connecting Continuity with Differentiability
Through this activity students learn the connection between continuity and differentiability of a function. The activity uses either the TI84 or TI84C graphing calculator. Students should understand this concept for AP Calculus.You might also be interested in the Activity Sheet on Continuity and the Intermediate Value Theoremthat is available in my store.
Grades:
10th - 12th, Higher Education
Types:
Also included in: Calculus - Continuity Bundle
Related Rates - Tootsie Pop Lab
Students will measure the change in radius of a tootsie pop, then created a line of best fit to find dr/dt. Finally, students will find dv/dt and talk about when volume is changing the fastest.
Subjects:
Grades:
10th - 12th
Types:
Derivative of the Sine Cosine Exponential and Natural Log functions (Editable)
To help my students see the connection between the sine, cosine, exponential, and natural log graph and their derivatives, I have them use the TI calculators to compute the derivatives. For the sine and cosine, they graph the derivatives directly on the graph; for the other functions, they use a table to verify their derivatives.
I use it within cooperative groups, and I circulate to make sure they are getting the purpose of the questions.
The file includes spiral review problems.
This works
Subjects:
Grades:
10th - 12th
Types:
Calculus - Understanding The Derivative Graphically Using Difference Quotients
Students can used their graphing calculators to build an understanding for the formal definition of a derivative (limit as h approaches zero of (f(x+h)-f(x))/h). Students will set up the forward difference quotient, the backward difference quotient, and the symmetric difference quotient approaching the same limit. Then students will let h equal 1, 0.1, 0.01, and 0.001) to notice that all the difference quotients approach one function. The function they are all approaching will be called t
Subjects:
Grades:
10th - 12th, Higher Education
Types:
Also included in: Calculus - Understanding the Derivative Bundle
Chain Rule Practice - With Logs and Exponentials, No Trig
** BE SURE TO CHECK OUT MY OTHER WORKSHEETS! **
- *78* Questions!
- *COMPLETE* Solutions!
If you want to move on to more complex mathematics, you need to get certain topics out of working memory. This is my goal in all of my worksheets - to help students learn a particular techniques or topics to the point where it's automatic and they don't have to think about it, so that they can achieve more on the advanced topics.
This is a worksheet that covers one topic - the chain rule in differe
Subjects:
Grades:
10th - 12th, Higher Education, Staff
Types:
Derivatives: 4 Geometer's Sketchpad (GSP) Files
The preview file is one of the four files--so you can get one of them free!
Since Teachers Pay Teachers does not support .gsp files, the preview file is a .gsp file that can be extracted from a (supported) .zip file.
(Please rate the preview file if you do use it, thanks!)
You will download a .zip file from which 4 .gsp files can be extracted. .gsp files can be used only with Geometer's Sketchpad, so please make sure you have the appropriate software before downloading.
The four files:
- Sec
Grades:
10th - 12th
Types:
Also included in: Calculus AB Resources (discounted bundle)
Calculus Can Lab (Optimization)
AP/Advanced CalculusOptimization of a can - students are hired as "product analysts" and have to decide if the current can cost effective. Then students need to determine the most cost effective can for a 1L can.
Subjects:
Grades:
10th - 12th
Types:
Product Rule Practice Sheet
Some topics in math are best learned by rote. This is a worksheet that covers one topic - the product rule in differential Calculus - and contains *65* questions that very in difficulty, with *complete solutions*. This is a terrific resource for students who will be tested on performing the algorithm of differentiating a product of two functions. There are enough questions here that they can do as many as they need to in order to get the process down.
This is also a great tool for teachers.
Subjects:
Grades:
10th - 12th, Higher Education, Adult Education, Staff
Types:
Showing 1-23 of 23 results
TPT is the largest marketplace for PreK-12 resources, powered by a community of educators.
IXL family of brands