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Curated OER
Circles
In this circles instructional activity, 10th graders solve and complete 20 different problems related to various circles. First, they find the radius and diameter of a circle with a given circumference. Then, students determine the...
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...
Curated OER
Shot Put Arc
Students complete Part A: Dissecting a Circle. They generate their own chords within the circle. Students measure the various parts of the arc in the shot put pit. The first two measurements, the chord and distance from the midpoint of...
Yummy Math
A Cardioid for Valentine’s Day
It's Valentine's Day in geometry class! Celebrate the day of love with a heart-themed activity in which young mathematicians create a cardioid on polar graph paper.
Flipped Math
Tangents to Circles
Touch a circle once. Individuals watch a video and learn two theorems related to tangents and circles. The pupils then apply the theorems to find missing angle measures and lengths in figures. At the end, they practice their skills on...
Mathematics Assessment Project
Sorting Equations of Circles 1
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.
Teach Engineering
The Great Gravity Escape
Groups simulate an orbit using a piece of string and a water balloon. Individuals spin in a circular path and calculate the balloon's velocity when the clothes pin can no longer hold onto the balloon.
Statistics Education Web
What Percent of the Continental US is Within One Mile of a Road?
There are places in the US where a road cannot be found for miles! The lesson asks learners to use random longitude and latitude coordinates within the US to collect data. They then determine the sample proportion and confidence interval...
Curated OER
Calculate the Radius
In this calculating radius learning exercise, 6th graders find the radius of 5 circles given the circumference information. Students must write the radius on the line provided and a box is provided to them to show their work.
Curated OER
Equations of Circles
In this equations of circles instructional activity, 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...
Curated OER
Equations for Curves Passing through a Given Set of Points
Learner use three random locations on the coordinate system and simplify the expression and assign result to the variable loc. They substitute guesses for the center and radius of the circle in the equation for the center of a circle and...
Inside Mathematics
Circles in Triangles
Challenge the class with inscribed circles in triangles. The assessment task requests class members use their knowledge of circles and right triangles to prove two triangles are congruent. They go on to utilize their knowledge of...
EngageNY
Equations for Tangent Lines to Circles
Don't go off on a tangent while writing equations of tangent lines! Scholars determine the equations for tangent lines to circles. They attempt both concrete and abstract examples, such as a tangent line to the unit circle through...
Curated OER
Area of Circles and Probability
Students investigate the area of squares and circles. In this geometry lesson, students calculate the area and probability of simple events. They work on a laptop using Safari.
Illustrative Mathematics
Right Triangles Inscribed in Circles II
So many times the characteristics of triangles are presented as a vocabulary-type of lesson, but in this activity they are key to unraveling a proof. A unique attack on proving that an inscribed angle that subtends a diameter must be a...
Penn Museum
Penn Museum: China Gallery
Invite your learners to take a closer look at the art and mathematical function of dome buildings as designed by the ancient Romans. In the next segment of this attractive worksheet set, your young historians will then learn about...
Concord Consortium
Line of Sight
There's no way around it—learners must use trigonometry to model the line of sight around a race track! Using the starting line as the origin, pupils model the straight line distance to any car using a trigonometric expression. The...
101 Questions
Rotonda West, FL
The shortest distance from point A to point B is a straight line—or is it? Young scholars determine the shortest route either along a circular path or through the center of the circle. Learners gain a unique perspective on arc length and...
Curated OER
Circles
A very basic presentation on the vocabulary associated with circles has come around. Math whizzes see definitions and examples of the radius, diameter, chord, and central angle of a circle. The last slide says "practice time," but there...
Texas Instruments
Area of Circles
Students explore circles. In this algebra/geometry lesson plan, students discover the formula for the area of a circle, as they investigate the ratio of the area of a circle to the radius^2.
Curated OER
Radius, Diameter and Circumference
In this circle worksheet, young scholars use a drawing of a circle. The diameter is given. Students find the radius, circumference and area of the circle. On the second problem, young scholars are shown a circle with a hole inside it....
Mathed Up!
Area of Sector and Length of Arcs
Viewers learn how to apply proportional reasoning to find area of sectors and arc lengths with a video that starts off explaining how to find the areas of circle sectors and the lengths of arcs. Scholars then practice solving problems...
Curated OER
Similar Triangles and Trapezoids, and Circles
High schoolers answer two problems involving area of shaded regions. High schoolers then answers six questions involving perimeter, area, and circumferences. The remaining two questions involve ratios of similar figures.
Illustrative Mathematics
Running Around a Track II
On your mark, get set, GO! The class sprints toward the conclusions in a race analysis activity. The staggered start of the 400-m foot race is taken apart in detail, and then learners step back and develop some overall race strategy...