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Handout
Carnegie Mellon University

Technical Sketching Worksheets

For Students 9th - 12th
How do you create a technical drawing? Cover the basics of technical sketching with a few practice sketches of simple shapes. A technical sketching lesson introduces the proper precision measurement techniques. Pupils progress to draw...
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Worksheet
Curated OER

Curve Sketching Review Worksheet

For Students 11th - 12th
In this curve sketching activity, students solve 13 short answer and graphing questions. Students find maximums, minimums, critical points, turning points, increasing/decreasing intervals, etc.
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Worksheet
Curated OER

Curve Sketching

For Students 10th - 12th
In this calculus worksheet, students sketch a curve using a given function. They take the derivative of a function and graph it. There are 10 questions.
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Worksheet
Curated OER

Curve Sketching

For Students 12th
In this calculus instructional activity, 12th graders answer questions about derivatives, increasing and decreasing functions, relative maximum and minimum and points of inflection. They also sketch the graph of the equation. There are...
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Worksheet
Curated OER

Curve Sketching

For Students 11th - 12th
In this calculus instructional activity, students identify the point of increase and decrease on a graph. They analyze the curve of a graph using the derivative. There are 10 open questions about derivatives.
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Worksheet
Curated OER

And Now…the Supply Curve!

For Students 9th - 12th
In this economics worksheet, learners use their problem solving skills to respond to questions regarding the supply curve and its impact on an individual's lemonade stand business.
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Lesson Plan
Curated OER

Ice Cream Lab

For Teachers 7th - 10th
I scream, you scream, we all scream for ice cream! Even high schoolers enjoy making ice cream. This laboratory exercise has them record the temperature changes throughout the process of liquid becoming solid, graph the results, and...
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Worksheet
Curated OER

Three Calculus Overview Problems

For Students 11th - Higher Ed
In this calculus overview activity, students: find the equation of a tangent line, curve sketch, and find limits.  Students should have covered continuity as well.
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Lesson Plan
National Council of Teachers of Mathematics

National Debt and Wars

For Teachers 9th - 12th Standards
Take a functional approach to the national debt. Learners collect information about the national debt by decade and plot the data. They determine whether an exponential curve is a good fit for the data by comparing the percent changes...
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AP Test Prep
College Board

2006 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Develop more than just a topical approach to the exam. The six free-response questions from 2006 reveal how the AP exam assesses topics. By using the questions, pupils practice topics such as velocity, sketch slope fields, solving...
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Worksheet
Curated OER

Properties of Curves

For Students 11th - 12th
In this Calculus worksheet, students use a graphing calculator to boost their understanding of functions and their graphs as they examine the properties of curves.  The forty-two page worksheet contains one hundred problems.  Answers are...
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Activity
Houston Area Calculus Teachers

Area and Volume

For Students 11th - Higher Ed
An AP calculus lesson begins with an activity to determine the volume of a solid using a cross-section. Next, learners review the ways to find the area between two curves , as well how to find the volume of a solid created from the...
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Worksheet
Curated OER

Worksheet 4 - Math 126: Sketching Polar Equations

For Students 9th - 12th
In this sketching polar equations worksheet, high schoolers solve 5 short answer and graphing problems. Students describe a curve given the equation of the curve in polar form. High schoolers sketch a graph of the equation.
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Worksheet
Curated OER

Worksheet 3

For Students 12th - Higher Ed
In this calculus worksheet, students sketch a level curve on an xy-plane for 10 given equations. Students then sketch the related surface in 3D-space.
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Worksheet
Curated OER

Practice Test: Vector Equations

For Students 12th - Higher Ed
In this vector equations worksheet, students sketch curves when given vector equations. They determine when two curves intersect and find the tangential and normal components of an acceleration vector. This one-page worksheet contains 6...
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Lesson Plan
Curated OER

Worksheet Two

For Teachers Higher Ed
In this math worksheet, students solve differential equations. Students use similar equations, and analyze ways they differ from one another. Students draw directional fields and sketch solutions. The final three questions are...
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Lesson Plan
Curated OER

Worksheet 14

For Teachers Higher Ed
In this math worksheet, students analyze a path around a circle. The interval is defined. Students sketch a graph of a given parametric curve. Five application problems give students practice using these concepts in real life situations.
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Interactive
McGraw Hill

Binary Stars Interactive

For Students 9th - Higher Ed
A celestial body's distance from Earth makes studying its characteristics much more difficult. Learn how scientists use indirect measures to determine the size of stars. The interactive activity has individuals adjust the size of binary...
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Worksheet
Curated OER

Worksheet 34 - Fall 1995

For Students 11th - Higher Ed
In this math worksheet, students sketch the finite area whose boundary is composed of pieces of the curves x =1− y 4 and x = y2 − 1.
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Lesson Plan
Curated OER

Roller Coaster Robot

For Teachers 10th - 12th
Young scholars calculate the area under a curve. In this calculus lesson plan, students use Riemann sums to find and approximate the area under a curve. They use the derivative and differential equations to solve.
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Lesson Plan
Curated OER

Draw Johann Sebastian Bach

For Teachers 5th - 8th
Students sketch a portrait of Johann Sebastian Bach. For this portrait lesson, students discover the elements of drawing a face. Students manipulate curved lines and shading to create an original piece of art.
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Worksheet
Curated OER

Calorimetry Worksheet

For Students 10th - Higher Ed
For this calorimetry worksheet, students determine the change in enthalpy, sketch the heating curve, and determine the specific heat and heat of fusion for a given compound. This worksheet has 4 problems to solve.
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Lesson Plan
Curated OER

Matisse's "La Pompadour"

For Teachers 6th - 8th
Students sketch a picture. In this drawing lesson, students sketch Matisse's "La Pompadour". In an attempt to tap into their artistic side, students turn the picture upside down to sketch.
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Lesson Plan
Curated OER

Picasso's "The Dog"

For Teachers 5th - 8th
Students draw a dog. In this drawing lesson, students discover how to tap into their right brain dominance by sketching a picture upside down. Students draw a picture resembling Picasso's "The Dog".

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