Tangents Teacher Resources
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Geometry Unit 11: Circles
The five resources in the Geometry Unit 11: Circles Unit Module are designed for the flipped classroom. Pupils watch videos that show how to apply concepts about circles, tangents, congruent chords and arcs, and intercepting arcs....
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AP Calculus AB Unit 2: Differentiation - Definition and Fundamental Properties
The eleven lessons in Unit 2 of the flipped math calculus course take up the definition and fundamental differentiation properties. Lessons include teaching scholars how to use their knowledge of the formula to find the average rate of...
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Geometry Unit 7: Right Triangles
Six lessons comprise the Geometry Unit 7: Right Triangles unit module. In the first lesson, pupils review the Pythagorean Theorem and determine how to use the converse to determine whether a triangle is right, obtuse, or acute. Next,...
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Krista King Math: Derivatives
Everything calculus scholars need to know about derivatives can be found in this 31-resource playlist. The collection defines the derivative and includes derivative rules, chain rule, derivatives of trig functions, derivatives of...
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Balanced Assessment: Basic High School Packet
Seventeen short assessments are designed to test scholars’ knowledge of basic Algebra 1 concepts. Pupils determine the houses that are a given maximum distance from a school, complete charts to show equivalent scale factors, and...
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Flipped Math: Geometry
Imagine taking a complete geometry course remotely! Eleven units make up the My Geometry course. Each unit follows the Flipped-Mastery cycle of learning, divided into two semesters. Pupils watch and take notes on a video that details the...
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Mathematics Assessment Project: Tests for College & Career Readiness - High School
A collection of six tests are designed to assess the College and Career Readiness of high school algebra I, algebra II, geometry, and statics and probability learners. Each assessment includes the test form and scoring and comes in 40,...
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AP Calculus AB
Prepare high school mathematicians for the AP Calculus AB exam with a collection of 38 videos that can be used to introduce the topics or as a review. The videos focus on two processes; differentiating a function and integrating a...
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High School Balanced Packet 2 Assessment Tasks
Good assessments can be hard to find and difficult to formulate. Designed as a collection of mathematics assessment tasks, the 20 resources in this packet can also be used as lesson openers, a review, or extra practice. The open-ended...
Curated OER
What is a Tangent Line to a Circle?
This video defines what it means for a line to be tangent to a circle. It also defines the term point of tangency and shows how the radius drawn to the point of tangency is perpendicular to the tangent line.
Khan Academy
Introduction to the Unit Circle, Trigonometry
In this video, Sal shows how the sine and cosine of an angle are defined on the unit circle. He inscribes a 30-60-90 triangle in the unit circle and explains how to use SOH-CAH-TOA to find the circle's coordinates.
EngageNY
The Definition of Sine, Cosine, and Tangent
Introduce your classes to a new world of mathematics. Pupils learn to call trigonometric ratios by their given names: sine, cosine, and tangent. They find ratios and use known ratios to discover missing sides of similar...
EngageNY
Properties of Tangents
You know about the tangent function, but what are tangent lines to a circle? Learners investigate properties of tangents through constructions. They determine that tangents are perpendicular to the radius at the point of tangency,...
Curated OER
Sine, Cosine, and Tangent Ratios
In this ratios worksheet, 11th graders solve and complete 8 various types of problems. First, they read each problems and draw a sketch for each. Then, students write a trigonometric ratio for each problem and round any decimal answers...
EngageNY
Why Call It Tangent?
Discover the relationship between tangent lines and the tangent function. Class members develop the idea of the tangent function using the unit circle. They create tables of values and explore the domain, range, and end behavior of...
Curated OER
How Do You Find a Missing Side of a Right Triangle Using Cosine?
Trigonometry? What's trigonometry. Well, something to do with triangles, right? Right! Right triangles! In this problem, find the missing length of one of the sides. So set this up as a ratio: cosine(A) = adjacent side length divided by...
EngageNY
Special Triangles and the Unit Circle
Calculate exact trigonometric values using the angles of special right triangles. Beginning with a review of the unit circle and trigonometric functions, class members use their knowledge of special right triangles to find the value...
Curated OER
Tangent Lines and the Radius of a Circle
Your Geometry learners will collaboratively prove that the tangent line of a circle is perpendicular to the radius of the circle. A deliberately sparse introduction allows for a variety of approaches to find a solution.
EngageNY
Sine and Cosine of Complementary Angles and Special Angles
Building trigonometric basics here will last a mathematical lifetime. Learners expand on the previous lesson in a 36-part series by examining relationships between the sine and cosine of complementary angles. They also review the...
Alabama Learning Exchange
Unit Circle: Special Angles—Just Know One
It's all about the patterns! Young scholars learn that the unit circle repeats itself in all four quadrants. Using these patterns, they evaluate the sine, cosine, and tangent of special angles.
Texas Instruments
Drawing a Line Tangent to a Circle
Explore lines tangent to a circle. In this math lesson, students manipulate circles and lines on a TI calculator. They draw a circle and analyze perpendicular lines intersecting the circle in only one place. This activity works...
EngageNY
Graphing the Tangent Function
Help learners discover the unique characteristics of the tangent function. Working in teams, pupils create tables of values for different intervals of the tangent function. Through teamwork, they discover the periodicity, frequency, and...
Krista King Math
Intersecting Tangent and Secant Lines of Circles
Interpret and apply the relationships between tangent and secant lines. The instructor explains the relationships of the angles and segments created by intersecting tangent and secant lines.
CK-12 Foundation
Angles On and Inside a Circle: Lesson
A video introduces methods to find the measure of angles whose vertex is on and inside a circle. Within examples, the section of a larger playlist on basic geometry incorporates several angle measurement theorems.
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