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Handout
Del Mar College

Quick Reference Card

For Students 9th - 12th Standards
A neat and organized formula handout makes the circle go round, doesn't it? Full of higher algebra topics, formulas and rules, graphs and definitions—there is a way to support everyone in Algebra II or Pre-Calculus. 
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Handout
Curated OER

Pre-Calculus Review Sheet

For Students 10th - 12th Standards
Pre-Calculus has some detailed formulas involved and here is a great resource that lumps then all together for you. Broken up into rectangular, polar, and parametric sections, the conics all include formulas and graphs. 
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Lesson Plan
1
1
West Contra Costa Unified School District

Standard Form of Conics

For Students 9th - 12th Standards
Looking for a complete go-to guide for the standard form of conics? This five-page packet does a nice job of connecting conics to prior knowledge of functions and transformations. Adapt the resource as Algebra II lesson plan notes, or...
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Unit Plan
Radford University

Earthquake Problem

For Teachers 9th - 12th Standards
Shake up things in the classroom. The unit uses earthquakes to bring a real-life connection to finding arc lengths, logarithms, and equations of circles. Small groups determine whether particular towns would have felt an earthquake after...
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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...
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eBook
Rice University

College Algebra

For Students 9th - Higher Ed Standards
Is there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...
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eBook
Rice University

Algebra and Trigonometry

For Students 10th - Higher Ed Standards
Move on into trigonometry. An informative eBook takes the content of a College Algebra course and adds more relating to trigonometry and trigonometric functions. The content organization allows pupils to build upon their learning by...
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Assessment
1
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CCSS Math Activities

Smarter Balanced Sample Items: High School Math – Claim 2

For Teachers 9th - 12th Standards
Problem solve across the content standards. The presentation slides provide 19 sample items from the Smarter Balanced high school assessment. Items illustrate Claim 2, problem solving, of the test and are drawn from all the high school...
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Unit Plan
Mathematics Vision Project

Module 6: Connecting Algebra and Geometry

For Teachers 9th - 12th Standards
A geometry module connects algebraic reasoning to geometry. It challenges scholars to investigate the slope criteria for parallel and perpendicular lines, prove theorems involving coordinate geometry, and write equations for circles and...
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Interactive
Shodor Education Foundation

Conic Flyer

For Students 9th - 12th Standards
Graphing conics made easy. Individuals use an interactive to graph conic sections. The app can handle circles, vertical and horizontal parabolas, ellipses, and vertical and horizontal hyperbolas.
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Interactive
CK-12 Foundation

Circles Not Centered at the Origin: Room Rearranging

For Students 11th - Higher Ed Standards
Where does a circular table fit best? Individuals move a circle representing a table into different quadrants of a room. Pupils determine which equation of the circle will place the table in the appropriate quadrant. A discussion...
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Interactive
CK-12 Foundation

Circles Centered at the Origin: Dog

For Students 11th - Higher Ed Standards
How many bones can a dog on a leash reach? Class members move a dog on the end of its leash and determine whether it can reach bones located at specific points. The learners see whether the bone lies on the circle or outside of the...
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Interactive
CK-12 Foundation

Circles Centered at the Origin: The Map of the Beta Solar System

For Students 11th - Higher Ed Standards
Calculate galactic orbits in a far-out resource. Pupils drag a point on a circle to graph the orbit of a fictional planet. Using the equation, they find points through which the orbit passes. To finish the simulation, users determine the...
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Interactive
CK-12 Foundation

Equations of Circles: Finding the Equation of a Circle

For Students 11th - Higher Ed Standards
It's all about location and size. With the aid of the interactive, pupils explore the relationship between the location and size of a circle and its equation. The learners use that relationship to determine the equation of a circle given...
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Interactive
CK-12 Foundation

Equations of Circles: The Sea of Happiness

For Students 11th - Higher Ed Standards
Map this! Help your young mathematicians draw a circular island on a map. Given specifics of the location and size of an island on a map, pupils transform a circle to meet the given requirements. They then determine the location of the...
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Lesson Plan
Virginia Department of Education

Circles in the Coordinate Plane

For Teachers 9th - 11th Standards
Make the connection between the distance formula and the equation of a circle. The teacher presents a lesson on how to use the distance formula to derive the equation of the circle. Pupils transform circles on the coordinate plane and...
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Lesson Plan
West Contra Costa Unified School District

Finding the Equation of a Circle

For Teachers 9th - 12th Standards
Tired of going around and around for a resource on circles? Scholars determine the general equation of a circle on a coordinate plane, then participate in an activity matching equations to the radii and centers of the circles they...
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Lesson Plan
Mathematics Assessment Project

Sorting Equations of Circles 1

For Teachers 9th - 12th Standards
Round and round we go. Learners first complete a task on writing equations of circles. They then take part in a collaborative activity categorizing a set of equations for circles based on the radius and center.
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Assessment
Curated OER

Expressing Geometric Properties with Equations

For Students 9th - 11th Standards
Algebra and geometry are not interchangeable. Demonstrate why not with a series of problems that deal with the equations of circles and equations of lines that meet specific criteria. 
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Assessment
EngageNY

Geometry Module 5: End-of-Module Assessment

For Teachers 9th - 12th Standards
The lessons are complete. Learners take an end-of-module assessment in the last installment of a 23-part module. Questions contain multiple parts, each assessing different aspects of the module.
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Lesson Plan
EngageNY

Writing the Equation for a Circle

For Teachers 9th - 12th Standards
Circles aren't functions, so how is it possible to write the equation for a circle? Pupils first develop the equation of a circle through application of the Pythagorean Theorem. The lesson then provides an exercise set for learners to...
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Lesson Plan
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NASA

Rendezvous For Two

For Teachers 10th - 12th Standards
Imagine the challenge of getting the space shuttle to rendezvous with the International Space Station. Groups must determine the elliptical transfer orbit needed to get the space shuttle from its orbit to the orbit of the International...
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Worksheet
Mt. San Antonio Collage

Elementary Geometry

For Students 9th - 12th Standards
Your class may believe that geometry is a trial, but they don't know how right they are. A thorough math lesson combines the laws of logic with the laws of geometry. As high schoolers review the work of historical mathematicians and the...
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Lesson Plan
EngageNY

Recognizing Equations of Circles

For Teachers 9th - 12th Standards
What does completing the square have to do with circles? Math pupils use completing the square and other algebraic techniques to rewrite equations of circles in center-radius form. They then analyze equations of the form x^2 + y^2 + Ax +...