Lesson Plan
Illustrative Mathematics

The Circle and The Line

For Teachers 8th - 12th Standards
Here is a resource where algebra learners show their understanding of a system of equations involving a circle and a line. Once graphed, learners see two points of intersection, one where the ordered pair is read, and a second where...
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. 
Assessment
Mathematics Assessment Project

Expressions and Equations

For Students 7th - 8th Standards
Express your wonder at this resource. Middle schoolers solve 10 short problems in the expressions and equations domain. They apply operations with scientific notation, set up and solve equations, and analyze linear equations.
Unit Plan
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Mathematics Vision Project

Circles and Other Conics

For Teachers 10th - 12th Standards
Through a variety of hands-on activities and physical scenarios, this far-reaching unit leads learners through an exceptionally thorough exploration of circles and parabolas as conic sections. Geometric construction techniques are used...
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...
Activity
101 Questions

Coins in a Circle

For Teachers 9th - 12th Standards
Round and round you'll go! Learners watch as different-sized circles fill with coins. They collect data and then make a prediction about the number of coins that will fit in a large circular rug.
Interactive
CK-12 Foundation

Linear Systems with Addition and Subtraction: Fill in the Boxes 2

For Students 8th - 10th Standards
Systematically combine shapes to arrive at one solution. The resource models a system of linear equations using colored shapes. Pupils follow rules to combine circles and squares to add the two equations together, resulting in one...
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...
Organizer
CPO Science

Physics Skill and Practice Worksheets

For Students 9th - Higher Ed Standards
Stop wasting energy searching for physics resources, this comprehensive collection of worksheets has you covered. Starting with introductions to the scientific method, dimensional analysis, and graphing data, these skills practice...
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...
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...
Lesson Plan
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EngageNY

Systems of Equations

For Students 10th - 12th Standards
What do you get when you cross a circle and a line? One, two, or maybe no solutions! Teach learners to find solutions of quadratic and linear systems. Connect the visual representation of the graph to the abstract algebraic methods. 
Activity
Illustrative Mathematics

Coins in a Circular Pattern

For Teachers 9th - 11th Standards
What starts as a basic question of division and remainders quickly turns abstract in this question of related ratios and radii. The class works to surround a central coin with coins of the same and different values, then develops a...
Lesson Plan
Illustrative Mathematics

Eight Circles

For Teachers 6th - 9th Standards
We are used to finding the area of a circle by plugging the radius into an equation. Here, learners are required to go further to find multiple areas and calculate the difference. They must detect a pattern in order to figure out the...
Worksheet
Curated OER

Circles and Parabolas

For Students 9th - 12th
For this circles and parabolas, students write and graph equations for 14 problems. Students locate the center and radius for 8 circles. Students write equations for 4 parabolas.
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...
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.
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...
Interactive
CK-12 Foundation

Parametric Equations: Protecting the Village

For Students 11th - Higher Ed
Determine the location of the pillars in time. Given a table of values for two parametric equations, pupils complete the table to determine the location and time it takes to build the pillars. Learners plot the points representing...
Workbook
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Utah Education Network (UEN)

Ch 6: Expressions & Equations II–Real-world equations, Inequalities

For Students 7th Standards
Use of the resource = Opportunities for increased learning. Learners must use equations and inequalities to solve real-world and geometric problems.
Lesson Plan
West Contra Costa Unified School District

Solving Equations Using Balance Scale, Decomposition, and Graphing

For Teachers 7th - 9th
There's more than one way to solve an equation — three, actually. Scholars learn how to solve simple linear equations in one variable using three different methods, which include using balance scales, using decomposition (e.g., turning...
Lesson Plan
Mathematics Assessment Project

Inscribing and Circumscribing Right Triangles

For Teachers 9th - 12th Standards
High schoolers attempt an assessment task requiring them to find the radii of inscribed and circumscribed circles of a right triangle with given dimensions. They then evaluate provided sample responses to consider how to improve...
Worksheet
Curated OER

Circles and Their Equations

For Students 6th - 7th
In this circle and their equations worksheet, learners read about circles and algebraic equations, look at examples and complete exercises.
Worksheet
Curated OER

Equations of Circles

For Students 10th
In this equations of circles worksheet, 10th graders solve 10 different problems that include graphing different circles. First, they convert the equations into center-radius form given the coordinates of the center of the circle and its...