Concord Consortium
Circumscribed Polygon
Trigonometry teachers often go off on a tangent, and here's a activity that proves it! First, young mathematicians use a formula with tangent to prove a formula correct for area. Then, they draw conclusions about the area of a circle...
Mathematics Assessment Project
Inscribing and Circumscribing Right Triangles
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 their...
Curated OER
Equations of Circles
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...
Curated OER
Algebra II - Lesson 10-3: Circles
In this equations of circles learning exercise, high schoolers solve 4 short answer problems. Students find an equation of a circle given the center and radius.
Raytheon
Geometry: Circles
In this geometric circumference worksheet, 8th graders calculate the circumference of each of the 18 circles. The remaining pages of the worksheet include formulas and lesson ideas on finding the circumference of circles.
Curated OER
Linear Equations
In this algebra worksheet, students solve linear equations through graphing and the use of formulas. There are 34 questions ranging from addition and subtraction of linear equations to graphing and substitution.
Curated OER
Solving Radical Equations
In this Algebra I/Algebra II worksheet, students solve radical equations. The two page worksheet contains a combination of thirteen multiple choice and free response questions. The answers are included.
Curated OER
Solving Literal Equations: Worksheet SE4
In this solving literal equations worksheet, high schoolers solve 30 equations. Students solve each equation for a given variable, but do not solve for a number answer.
Mathematics Assessment Project
Sorting Equations of Circles 2
How much can you tell about a circle from its equation? This detailed lesson plan focuses on connecting equations and graphs of circles. Learners use equations to identify x- and y-intercepts, centers, and radii of circles. They also...
Curated OER
Altitudes and Orthocenters: Making Connections to the Nine-Point Circle
Students practice various equations for constructing nine-point circles for triangles.
Illustrative Mathematics
Coins in a Circular Pattern
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...
Curated OER
Graphing Equations in Space
In this equations in two/three-dimensional space worksheet, students practice solving equations involving two/three-dimensional space configurations and finding the center and radius of spheres in twenty-six equations and two word problems.
Curated OER
Circular Trigonometric Functions
In this Pre-calculus/Trigonometry worksheet, students prove trigonometric identities and find all values that satisfy the equations of circular trigonometric functions. The four page worksheet contains twenty-four problems. Answers are...
Curated OER
Math Handbook: Trigonometry
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 formulas.
Curated OER
Hyperbolas: Sketching from the Equation
In this algebra worksheet, learners sketch graphs of hyperbolas after solving equations to standard form and interpreting the center, vertices, foci, axis, asymptotes, and eccentricity from the equation. There are 58 questions.
Concord Consortium
Shooting Arrows through a Hoop
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...
Curated OER
Circle multiplication: 7s and 8s
Learning tools are invaluable. Teach your Autistic or special needs pupils how to multiply by 7s and 8s. They will use the circles to match the correct answer to the correct single-digit equation. Great for reinforcing multiplication...
Curated OER
Equation of a Circle
Students write the equation of a circle. In this geometry instructional activity, students check the solution of a coordinate pair by evaluating them. They graph the circle given the equation and radius.
5280 Math
Pythagorean Triples
From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...
Virginia Department of Education
May I Have Fries with That?
Not all pie graphs are about pies. The class conducts a survey on favorite fast food categories in a lesson on data representation. Pupils use the results to create a circle graph.
EngageNY
End-of-Module Assessment Task - Algebra 1 (Module 1)
What do your young geniuses really know? Assess the procedural knowledge of your pupils at the same time as their higher-level thinking with an assessment that identifies their depth of knowledge. Topics include solving...
Curated OER
Equations of Circles
Learners will define circle and radius. For this radius lesson, students are given a circumference, they will write an equation and sketch the circle. Learners will match graphs of circles to their equations.
Curated OER
Graphs of Circles
In this graphs of circles activity, 10th graders solve and graph 10 different problems related to graphing various types of circles. First, they write the equations of a circle with a given center and radius. Then, students determine the...
Curated OER
Graphs of Circles
In this graphs of circles worksheet, 10th graders solve 10 different problems that include the graphs of circles with various measurements. First, they write the equation of a circle whose diameter is a given number and whose center is...