Assessment
EngageNY

Mid-Module Assessment Task: Pre-Calculus Module 4

For Students 11th - 12th Standards
Challenge scholars to show what they know about properties and addition and subtraction formulas for trigonometric functions. The resource provides a mid-unit check on the progress toward mastery of trigonometric concepts. The areas...
Worksheet
Curated OER

Relationship between tangent, secant side length

For Students 10th - 12th
In this calculus worksheet, students calculate the relationship between a line of tangency and a secant side length. They are given the formulas to solve their problems. There are 9 problems.
Lesson Plan
1
1
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...
Lesson Plan
Curated OER

Solving Problems Involving Chords, Radii, Tangents, Secants and Arcs within the Same Circle

For Teachers 10th
Tenth graders apply their knowledge of angles related to a circle, radii, secants, tangents and chords of a circle. They practice using formulas related to a circle. They also apply what has been practiced to real life situations.
Worksheet
Curated OER

Tangent Properties

For Students 10th
In this geometry worksheet, 10th graders solve problems based on the properties of lines tangent to one or more circles. Constructions are included. The one page worksheet contains eight questions. Answers are...
Lesson Plan
Curated OER

Tangents to a Circle

For Teachers 9th - 10th
Students construct tangent lines. In this geometry lesson, students identify the point of tangency, secant and tangent lines. They graph the lines on the Ti and make observations.
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.
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....
Printables
Virginia Department of Education

High School Mathematics Geometry Vocabulary Word Wall Cards

For Teachers 9th - 10th
Having a good working knowledge of math vocabulary is especially important for geometry learners. Here are 119 pages worth of wonderfully constructed definitions, constructions, formulas, properties, theorems, and postulates. This is a...
Handout
1
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Curated OER

Math Handbook: Trigonometry

For Students 9th - 12th Standards
You'll be spinning in unit circles once you read through this jumbo-sized resource of everything you need to know about trigonometry. Each page has color-coded examples with explicit directions that detail the problems and...
Lesson Plan
Curated OER

Secant Line Approximation of the Tangent Line

For Teachers 9th - 11th
Pupils perform operation with secant and tangent lines. In this calculus lesson, students find the derivative and relate it to the slope of a line. They differentiate between secant and tangent as they intersect a circle, using Cabri.
Lesson Plan
Curated OER

Slope and Tangent

For Teachers 9th - 11th
Students differentiate between the slope and the tangent of the horizontal. In this precalculus instructional activity, students examine slopes created by tangent lines. They observe the angle formed using properties of the unit...
Lesson Plan
Curated OER

Circular Motion

For Teachers 5th - 8th
Students investigate circular motion in two different activities. In the first, students observe the path of a rolling marble on a paper plate. In the second, students play a game of catch using a tennis ball inside a plastic bag. ...
Lesson Plan
1
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Curated OER

The Unit Circle

For Teachers 9th - 11th Standards
Students solve problems using the unit circle. In this precalculus lesson, students identify angles using the properties of the unit circle. They observe the trigonometric graphs and sine, cosine and tangent.
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.
Worksheet
Curated OER

Geometry Review

For Students 10th
In this geometry review worksheet, 10th graders solve and complete 33 different problems that include identifying various geometric figures and parts of a circle. First, they find the radius of each circle given its diameter. Then,...
Worksheet
Curated OER

Analysis Review Sheet

For Students 10th - 12th
In this analysis review worksheet, students solve 3 complex inequalities, graph 2 absolute value inequalities, and write the equations for altitudes and tangent lines for 4 problems.
Worksheet
Curated OER

Conics

For Students 11th
In this conic sections worksheet, 11th graders solve and complete 16 different types of equations. First, they find the equation of the conic that has a given focus and directrix. Then, students convert each given polynomial to standard...
Lesson Plan
Curated OER

Investigating the properties of a circle

For Teachers 7th - 10th
Students use wax paper to look at different properties of circles such as chords, tangent lines, inscribed angles, and inscribed angles in a semi-circle, as well as finding the center of the circle, and use GSP to investigate cyclic...
Lesson Plan
Curated OER

Geometry of Circles - Week 7 (Area & Circumference)

For Teachers 12th - Higher Ed
In this circle worksheet, students solve problems involving the circumference, area and arc length in a circle. They explore the union of circles and semicircles, as well as the line segments tangent to the circle. This two-page...
Lesson Plan
Curated OER

Geometry of Circles: Week 7

For Teachers 10th - Higher Ed
In this circle worksheet, students determine the number of degrees in a minor arc, find the area of a circle, find the area of a shaded region. This two-page worksheet contains six problems.
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...
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...
Assessment
Concord Consortium

Shooting Arrows through a Hoop

For Students 9th - 12th Standards
The 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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