AP Test Prep
College Board

2002 AP® Calculus AB Free-Response Questions Form B

For Students 10th - 12th
Become better at the test concepts. An educational resource presents six free-response questions from the AP® Calculus AB exam. Pupils use the items to practice the content, which contains concepts ranging from particle motion to ships...
Unit Plan
New York City Department of Education

Designing Euclid’s Playground

For Teachers 10th Standards
Create a geometric playground. Pupils work through a performance task to demonstrate their ability to use geometric concepts to solve everyday problems. The accompanying engineering design lessons show teachers how the assessment works...
Unit Plan
Radford University

Right Triangle Applications: Lesson 3

For Students 9th - 12th Standards
Find the connection between trigonometry and tornadoes. Pairs investigate a tornado in Joplin, Mo., and use trigonometry to find its size. The pupils determine the path of the tornado and find the distance needed to travel to help...
Unit Plan
Radford University

The Puppy’s Empire

For Teachers 9th - 12th Standards
Dogs can't do math ... but people sure can! A set of five lessons has scholars apply math concepts to solve problems related to buying a new dog, such as designing a fence and a dog house, estimating how large the dog will become, and...
Unit Plan
Radford University

Right Triangle Sports

For Teachers 9th - 12th Standards
Who knew math could help with sports? An invigorating set of lessons encourages learners to apply right triangles in baseball, volleyball, hockey, football, and soccer. They use the Pythagorean Theorem, Pythagorean triples, special right...
Unit Plan
Radford University

Catch Me If You Can!

For Teachers 9th - 12th Standards
Crime doesn't pay, but everyone can learn from it. Learners consider different situations involving mischief at a school, such as stink bombs and rockets, and analyze them using mathematics. They must apply trigonometry, quadratic...
Instructional Video15:48
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Flipped Math

Sectors and Segments

For Students 9th - 12th Standards
It's a piece of pizza! Pupils learn about a sector of a circle as a slice of the circle and determine how to find its area. Scholars continue to find out how to calculate the segment of a circle based on the sector's area. At the end,...
Instructional Video16:02
2
2
Flipped Math

Unit 9 Review: Area of Polygons

For Students 9th - 12th Standards
It's time to show what you know! Individuals first review finding the area of polygons using the formulas from parallelograms to regular polygons. They then brush up on finding the area and circumference of circles, as well as reviewing...
Instructional Video13:36
2
2
Flipped Math

Unit 11 Review: Circles

For Students 9th - 12th Standards
Solve problems around a circle. Pupils watch a video that shows how to apply concepts about circles and related angles and segments to find solutions to word problems. Learners then review the different concepts from the unit in...
Lesson Plan
Curated OER

Worksheet 10 - Limits

For Teachers Higher Ed
In this limits worksheets, students graph tangent lines and determine the slope of a secant line. This one-page worksheet contains six multi-step problems.
Worksheet
Curated OER

Calculus Worksheet

For Students 12th - Higher Ed
In this calculus worksheet, students solve 10 different problems that include determining the first derivative in each. First, they apply properties of logarithmic functions to expand the right side of each equation. Then, students...
Lesson Plan
1
1
Wind Wise Education

What are Wind Shear and Turbulence?

For Teachers 6th - 12th Standards
Let's go fly a kite. By flying a kite, class members observe the difference in air flow. The class notices the characteristics of banners tied to the kite string to determine where wind turbulence stops. Adding an anemometer to...
Lesson Plan
EngageNY

Applying the Laws of Sines and Cosines

For Students 9th - 10th Standards
Breaking the law in math doesn't get you jail time, but it does get you a wrong answer! After developing the Law of Sines and Cosines in instructional activity 33 of 36, the resource asks learners to apply the laws to different...
Lesson Plan
EngageNY

Extending the Domain of Sine and Cosine to All Real Numbers

For Students 10th - 12th Standards
Round and round we go! Pupils use reference angles to evaluate common sine and cosine values of angles greater than 360 degrees. Once they have mastered the reference angle, learners repeat the process with negative angles.
Lesson Plan
Curated OER

Test on 3.1-3.5

For Teachers 12th
Twelfth graders assess their knowledge of trig functions and their properties. For this calculus lesson, 12th graders take a test on derivatives, trig functions, and the quotient rule. There are 2 different versions of the same test...
Lesson Plan
Curated OER

Integrals with Secant Powers of Secant Tangent

For Teachers 12th
Twelfth graders integrate trig functions with even powers. In this calculus lesson, 12th graders apply their knowledge of trig functions to help them integrate tangents and secants containing even exponents. They integrate the integrals...
Worksheet
Curated OER

Soduko

For Students 11th - 12th
In this calculus activity, student solve problems by taking the derivative of the function as x approaches a specific limit. They evaluate trig functions using the properties of trig. There are 26 questions with an answer key.
Lesson Plan
Curated OER

Trigonometry Practice

For Teachers 11th - 12th
In this trig worksheet, students draw graphs of trig functions and identify the cycle of the function. They discuss period and phase shift. There are 9 questions with an answer key.
Worksheet
Curated OER

Soduko Puzzle

For Students 11th - 12th
In this calculus activity, student solve problems by taking the derivative of the function as x approaches a specific limit. They evaluate trig functions using the properties of trig. There are 26 questions with an answer key.
Worksheet
Curated OER

Lab 4: Integration by Substitution

For Students Higher Ed
In this integration worksheet, students transform antiderivatives and integrals by using substitution functions. They sketch graphs of two antiderivatives and describe their relationship. Students use trigonometric identities to find the...
Worksheet
Curated OER

Using Trigonometry to Find Lengths

For Students 9th - 11th
In this trigonometry worksheet, students use trigonometric ratios to find the length of a missing side. This four-page worksheet contains 18 multi-step problems. Answers are provided on the last two pages of the worksheet.
Worksheet
Curated OER

Sine Problem

For Students 11th - 12th
For this algebra worksheet, students solve word problems as they relate their findings to trigonometric ratios, specifically sine. There are 15 word problems with an answer key.
Lesson Plan
Curated OER

Integrals with even Powers of Sine and Cosine

For Teachers 12th
Twelfth graders define integrals and solve equations with trig functions. In this calculus lesson, 12th graders integrate integrals with sine and cosine powers. They discuss what method to use based on even or odd exponents.
Worksheet
Curated OER

AP Calculus

For Students 12th - Higher Ed
In this calculus worksheet, students answer questions about integrals, trig functions and natural logs. There are 20 questions mixed with multiple choices and free responses.

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