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297 resources with the concept tangent

Shooting Arrows through a Hoop Assessment

Shooting Arrows through a Hoop

11th - 12th
CCSS: Adaptable
New ReviewThe slope makes a difference. Given an equation of a circle and point, scholars determine the relationship of the slope of a line through the point and the number of intersections with the circle. After graphing the relationship, pupils...
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Trig Tour Interactive

Trig Tour

9th - 12th
CCSS: Designed
Unit circles and trigonometric graphs go hand in hand. Pupils see how traversing the unit circle allows for the creation of graphs for trigonometric functions. They also see trigonometric ratios in terms of the ordered pairs of points on...
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Graphing Trig Functions
8 Item

Graphing Trig Functions

9th - 12th
CCSS: Adaptable
Going from simple trig functions to their graphs can seem like a daunting task. These resources show the steps to connect evaluating the functions to graphing them. The collection has a variety of resource types for you to explore. 
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Instantaneous Rates of Change Video

Instantaneous Rates of Change

9 mins 8th - 12th
CCSS: Adaptable
Here's a great lesson that looks at slope as an instantaneous change. Using an estimated tangent line, the presenter shows the class how to find an approximation for the instantaneous rate of change. Scholars determine the slope of the...
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Parts of the Circle Video

Parts of the Circle

3 mins 6th - 12th
CCSS: Adaptable
Before you can do anything with circles, you need to know the parts of the circle. Viewers of a short video see how to label relevant information about a circle. The resource covers radius, diameter, circumference, chord, tangent, arc,...
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Tangent Graph Video

Tangent Graph

5 mins 10th - 12th
CCSS: Adaptable
Stay on course to learn about tangents. A brief video describes how to graph the tangent function. The method shown here is to make a table of tangent values to graph on the coordinate plane.
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Trigonometry Introduction Video

Trigonometry Introduction

3 mins 10th - 12th
CCSS: Adaptable
Don't go off on a tangent. An instructive video describes how to find the sine, cosine, and tangent ratios of an angle in a right angle. It describes how to label the sides of a right triangle and how to use mnemonics to remember the...
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Equation of a Tangent to a Circle Video

Equation of a Tangent to a Circle

5 mins 8th - 12th
CCSS: Adaptable
Don't go off on a tangent—let the video do the talking! A video lesson demonstrates how to write the equation of a line tangent to a circle given the point of tangency and the equation of the circle. The instructor explains both a...
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Orthogonal Circles Assessment

Orthogonal Circles

7th - 12th
CCSS: Adaptable
Here's some very interesting circles for your very interested pupils. A performance task requires scholars to sketch a pair of orthogonal circles so the centers are the endpoints of one side of a triangle. They draw an additional circle...
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Circle Theorems Video

Circle Theorems

4 mins 6th - 12th
CCSS: Adaptable
Circles are ripe with theorems. Viewers of a YouTube video watch as the narrator describes a set of eight theorems on circles. The video shows a diagram for each theorem and provides a brief explanation for each one.
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Trigonometric Ratios: A Geometer's Perspective Lesson Plan

Trigonometric Ratios: A Geometer's Perspective

9th - 11th
CCSS: Adaptable
What do all right triangles have in common? Young mathematicians investigate the trigonometric ratios in relation to right triangles. Their investigations lead to a hypothesis they use to determine unknown lengths in different triangles. 
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Angles On and Inside a Circle: Lesson Video

Angles On and Inside a Circle: Lesson

3 mins 9th - 11th
CCSS: Adaptable
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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Tangent Lines: Lesson Video

Tangent Lines: Lesson

3 mins 8th - 11th
CCSS: Adaptable
Point out properties of a line tangent to a circle. The resource provides two theorems dealing with tangent lines to a circle. A section of a geometry playlist uses the relationship between a radius and a tangent line to find missing...
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Parts of Circles: Lesson Video

Parts of Circles: Lesson

4 mins 6th - 10th
Start off with the basic parts. The section of a larger playlist covering essential geometry concepts identifies and provides the definitions of the basic parts of a circles. Using drawings, the video illustrates the different parts and...
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The Trigonometric Ratios: Lesson Video

The Trigonometric Ratios: Lesson

6 mins 9th - 12th
CCSS: Adaptable
SOH, what is this thing called trigonometric ratios? A section of an extensive playlist on geometry identifies the adjacent and opposite sides in relationship of an angle. Using the identified sides, the video defines the sine, cosine,...
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How Tall Am I? Lesson Plan

How Tall Am I?

9th - 11th
CCSS: Designed
Which method results in a better estimate of the height? Using  different methods, groups estimate the height of three objects on campus. They record their measurements and any necessary computations and compare them to the actual...
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Exact Trigonometric Ratios: Triangles to the Unit Circle Lesson Plan

Exact Trigonometric Ratios: Triangles to the Unit Circle

9th - 12th
CCSS: Designed
Special right triangles give special information. Individuals learn how to find trigonometric ratios in all quadrants. This involves using special right triangles and the Pythagorean Theorem.
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Using a Compass to Construct a Tangent Line Assessment

Using a Compass to Construct a Tangent Line

9th - 12th
CCSS: Designed
Don't just touch upon the resource once; use it again and again. Pupils construct a tangent line to a given circle that intersects the circle at one point. The strategy here is to use a compass and straightedge.
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Derivatives of Trig Functions Video

Derivatives of Trig Functions

19 mins 11th - Higher Ed
What are the most important things about trigonometric derivatives? The 13th video in a series of 31 highlights three important aspects of trigonometric derivatives, the first being the derivatives of sine and cosine. The second is the...
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Step Up Assessment

Step Up

9th - 12th
CCSS: Designed
Rise up to the challenge of solving problems with stair steps. Given a diagram of the riser, tread, and stringer of a set of stairs, learners solve two problems of interest. These problems involve trigonometry and angle relationships.
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Basic Trigonometric Limits: Evaluating Limits of tan(x) Interactive

Basic Trigonometric Limits: Evaluating Limits of tan(x)

11th - Higher Ed
Chase a periodic moving limit. Learners graphically determine the limit of the tangent function at different input values. Using sliders, pupils find out whether the tangent function approaches the same value from the left and the right....
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Discovering Trigonometric Ratios Lesson Plan

Discovering Trigonometric Ratios

9th - 12th
CCSS: Designed
Are there equivalent ratios in right triangles? The discovery lesson has the class find the ratios of sides of right triangles with equivalent angle measurements. Using these ratios, pupils discover that particular ones are the same,...
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EngageNY Algebra II: Module 2
19 Item

EngageNY Algebra II: Module 2

10th - 12th
CCSS: Adaptable
Building on young mathematicians' prior knowledge of geometry and algebraic functions, this 17-lesson unit introduces the topic of trigonometric ratios. Starting with the basic definitions of sine, cosine, and tangent, students move on to investigate the graphs of these functions and their use in modeling real-world situations.
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River Width Assessment

River Width

9th - 12th
CCSS: Designed
Just how wide of a river runs through it? The assessment provides a scenario of finding the distance across a river. Given two markers on one side of the river and the angles formed by them and an object on the other side of the river,...
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