Unit Plan
Mathematics Vision Project

Module 6: Trigonometric Functions

For Students 9th - 12th Standards
Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...
Lesson Plan
EngageNY

Secant Angle Theorem, Exterior Case

For Teachers 9th - 12th Standards
It doesn't matter whether secant lines intersect inside or outside the circle, right? Scholars extend concepts from the previous lesson to investigate angles created by secant lines that intersect at a point exterior to the circle....
Activity
Illustrative Mathematics

Satellite

For Teachers 9th - 11th Standards
Learners practice relating rules of trigonometry and properties of circles. With a few simplifying assumptions such as a perfectly round earth, young mathematicians calculate the lengths of various paths between satellite and...
Lesson Plan
Curated OER

Circle Packing

For Teachers 9th - 10th
Learners identify different parts and properties of circles. In this geometry lesson, students identify the radius, diameter, semicircle and inscribed angle of a circle. They identify the tangent lines to a circle.
Worksheet
Curated OER

Triangle and Circle Trigonometry

For Students 11th - 12th
In this Pre-calculus/Trigonometry worksheet, students apply advanced triangle and circle trigonometry to solve application problems. The three page worksheet contains sixteen problems. Answers are not included.
Lesson Plan
Curated OER

Worksheet 35

For Teachers Higher Ed
In this math worksheet, students analyze two vector fields. They tell which of the vector fields is the scaler field for the given function. Students draw solution curves to match the differential equations represented in the illustrations.
Worksheet
Curated OER

Tangent Properties

For Students 10th - 12th
In this pre-calculus instructional activity, students solve for angles formed by a tangent line and a circle. There are 6 different worksheets containing 8-10 problems per sheet.
Lesson Plan
Curated OER

Slopes and Slope Intercepts

For Teachers 8th - 10th
Students identify the slope of an equation using various methods. In this algebra lesson plan, students graph linear equations and calculate the slopes using the x and y intercept to solve the equations and graph the lines. They use the...
Lesson Plan
Alabama Learning Exchange

Technology for Displaying Trigonometric Graph Behavior: Sine and Cosine

For Teachers 10th - 12th Standards
Young scholars explore the concept of sine and cosine.  In this sine and cosine lesson, students work in groups to graph sine and cosine functions.  Young scholars examine how coefficients in various parts of each parent...
Interactive
Curated OER

Ten Multiple-Choice Circle Problems

For Students 9th - 10th
In this circle worksheet, students solve ten multiple-choice questions concerned with the area, radius, diameter, and circumference of a circle.  The solutions are provided by clicking on the "show answers" button on the bottom of...
Lesson Plan
Curated OER

Unit Circle Lesson Plan

For Teachers 11th - 12th
Students identify different locations on a unit circle. In this precalculus lesson, students identify the different trig properties and rewrite the equation of a circle in standard form. They use mnemonic devices to help them...
Worksheet
Curated OER

Circle Terminology

For Students 7th - 12th
In this geometry activity, students identify radii, diameters, chords, tangents, secants and other terminology associated with circles.  The one page activity contains eighteen problems.  Answers are not provided. 
Worksheet
Curated OER

The Merry Go Round Problem

For Students 9th
For this algebra worksheet, 9th graders analyze a concetric circle to determine the area a worker must paint in two different colors. They must decide from which angle he start painting because of the location of the merry go round....
Lesson Plan
Curated OER

Worksheet 26 - Function

For Teachers 9th - 10th
In this function worksheet, pupils identify the local maximum and minimum values and angle dimensions. This one-page worksheet contains six multi-step problems.
Worksheet
Curated OER

Geometry Worksheet: Area (6)

For Students 10th
In this geometry worksheet, 10th graders express the area of the ring between two concentric circles in terms of the length of a segment tangent to the smaller circle.  The one page worksheet contains a drawing of and an explanation...
Worksheet
Curated OER

Vectors

For Students 11th - Higher Ed
In this vectors worksheet, students solve and complete 6 various types of problems. First, they find two unit vectors that are parallel to the given vector and illustrate. Then, students find parametric equations for the line that passes...
Lesson Plan
Curated OER

Math: Tangents

For Teachers 9th - 10th
Pupils discover how to recognize tangents and how to use their properties. They investigate and use the properties of angles, arcs, chords, tangents, and secants. Students use two tangents and the properties of similar triangles to...
Lesson Plan
Curated OER

Math: Arcs and Chords

For Teachers 9th - 10th
Learners draw diagrams demonstrating how it is possible to two central angles to be congruent and their minor arcs are not congruent. In groups, they illustrate theorems with their constructed circles, create diameters of circles that...
Worksheet
Curated OER

Ten Trigonometric Review Problems - Calculator Required

For Students 11th - Higher Ed
In this trigonometry review worksheet, students convert between radians and degrees, sketch angles, evaluate trig. functions, solve for missing angles, and find the functions that satisfy the given conditions.
Lesson Plan
Curated OER

Angles in Standard Positions

For Teachers 9th - 11th
Young scholars identify positive and negative angles using the Unit Circle. In this pre-calculus instructional activity, students identify the different angles on a unit circle using the coordinate plane and the four different quadrants...
Lesson Plan
1
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Curated OER

Graphing at all Levels: It's a Beautiful Thing!

For Teachers 8th - 12th Standards
Mixing math and art is done in this lesson plan by applying graphing knowledge to create a unique piece of art. This lesson plan varies acording to the graphing knowledge of the artist. First, learners identify and review various types...
Activity
1
1
Curated OER

Task: Grain Storage

For Teachers 7th - 10th Standards
Farming is full of mathematics, and it provides numerous real-world examples for young mathematicians to study. Here, we look at a cylinder-shaped storage silo that has one flat side. Given certain dimensions, students need to determine...
Worksheet
Curated OER

Worksheet 25- Spring 1996

For Students 11th - Higher Ed
In this math activity, students find the values of the vectors. They also they prove that v and w are both orthogonal and find two nonparallel vectors.
Worksheet
Curated OER

MT-A141 PreCalculus: Worksheet 6.2/6.3

For Students 10th - 11th
In this precalculus worksheet, learners use their graphing calculator to determine the coordinates for given functions. They determine the values for cosine, sign, tangent, and secant of given equations. Given an angle of elevation,...