Worksheet
Math Mammoth

Measuring Angles

For Students 4th - 6th Standards
The first of two pages displays various angles as the measure of degrees of a circular arc. An explanation is written, and learners are asked to model each by holding up two pencils as the rays. The second page provides instruction on...
Lesson Plan
Curated OER

The Circumference of a Circle and the Area of the Region it Encloses

For Teachers 6th - 8th Standards
Bring your math class around with this task. Learners simply identify parts of a given circle, compute its radius, and estimate the circumference and area. It is a strong scaffolding exercise in preparation for applying the formulas for...
Instructional Video21:05
2
2
Flipped Math

Circles and Arc Lengths

For Students 9th - 12th Standards
Discuss all things round and round. Pupils review finding area and the circumference of circles and use them to solve problems. Next, they learn about central angles and their relationships to measures of arcs. Learners then find out how...
Activity
1
1
Math Learning Center

Grade 2 Supplement Set D5 – Measurement: Telling Time

For Teachers 2nd Standards
Have your class play concentration memory games using analog and digital clocks. Second graders become little experts with time telling to the minute, quarter, half, and hour. Use as a fun Friday treat as well as other...
Lesson Plan
Curated OER

Measuring the Area of a Circle

For Teachers 6th - 8th Standards
When mathematical errors happen, part of the learning is to figure out how it affects the rest of your calculations. The activity has your mathematicians solving for the area of a circular pipe and taking into consideration any errors...
Instructional Video3:10
Corbett Maths

Hexagon Inscribed Within a Circle

For Students 8th - 12th Standards
Mark off the length of the radius around the circle. Using a compass, the presenter shows how to construct a regular hexagon in a circle. Pupils see how triangles formed in the hexagon are equilateral, allowing for the construction to...
Lesson Plan
EngageNY

Similar Triangles in Circle-Secant (or Circle-Secant-Tangent) Diagrams

For Teachers 9th - 12th Standards
First angle measures, now segment lengths. High schoolers first measure segments formed by secants that intersect interior to a circle, secants that intersect exterior to a circle, and a secant and a tangent that intersect exterior to a...
Lesson Plan
EngageNY

The Angle Measure of an Arc

For Teachers 9th - 10th Standards
How do you find the measure of an arc? Learners first review relationships between central and inscribed angles. They then investigate the relationship between these angles and their intercepted arcs to extend the Inscribed Angle Theorem...
Lesson Plan
EngageNY

From Circle-ometry to Trigonometry

For Students 10th - 12th Standards
Can you use triangles to create a circle? Learners develop the unit circle using right triangle trigonometry. They then use the unit circle to evaluate common sine and cosine values.
Lesson Plan
Willow Tree

Circle Graphs

For Students 9th - 12th Standards
Pie isn't just for eating! Scholars learn to create pie charts and circle graphs to represent data. Given raw data, learners determine the percent of the whole for each category and then figure out the degree of the circle that percent...
Lesson Plan
EngageNY

Secant Lines; Secant Lines That Meet Inside a Circle

For Teachers 9th - 12th Standards
Young mathematicians identify different cases of intersecting secant lines. They then investigate the case where secant lines meet inside a circle.
Interactive
CK-12 Foundation

Radian Measure: Unit Circle Conversions

For Students 10th - 12th
Individuals investigate the relationship between radian and angle measurements by using an interactive to find the angle measurement for given radian measures. Users answer questions to convert between the two measurements.
Assessment
Inside Mathematics

Circles in Triangles

For Teachers 9th - 12th Standards
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...
Unit Plan
Mathematics Vision Project

Circles: A Geometric Perspective

For Teachers 10th - 12th Standards
Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...
Unit Plan
Mathematics Vision Project

Module 5: Circles A Geometric Perspective

For Teachers 9th - 12th Standards
Circles, circles, everywhere! Pupils learn all about circles, central angles, inscribed angles, circle theorems, arc length, area of sectors, and radian measure using a set of 12 lessons. They then discover volume formulas through...
Assessment
Concord Consortium

Measuring the Unit Circle

For Students 9th - 12th Standards
Here's the right task to investigate right triangles in the unit circle. A short performance task has learners determine the product of two side lengths in a unit circle. They must apply similarity concepts and trigonometric ratios to...
Interactive
CK-12 Foundation

Unit Circle: Medieval Castle Defense

For Students 10th - 12th Standards
Who needs a plan — let trigonometry protect you! Pupils determine the angle of an approaching enemy to a village wall. The scholars determine the exact value of trigonometric functions for the angle. Class members use trigonometry to...
Instructional Video25:49
2
2
Flipped Math

Unit Circle and Radians

For Students 9th - 12th Standards
Measure angles is easy as pi. Pupils review special right triangles to find exact values for trigonometric functions. Scholars learn about radians and how they connect to measurements in degrees. They find exact and approximate values of...
Instructional Video14:27
2
2
Flipped Math

Tangents to Circles

For Students 9th - 12th Standards
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...
Interactive
CK-12 Foundation

Measuring Rotation: Aircraft Headings

For Students 9th - 12th Standards
Measure angles in more than one way. The interactive introduces the concept of measuring angles from 0 to 360 degrees. Scholars explore the relationships between the angle and reference angles along with coterminal angles.
Interactive
CK-12 Foundation

Conversions between Degrees and Radians: Charting Hours in the Day

For Students 10th - 12th Standards
Forget hours, divide the day into radians instead. Class members convert the angles in a pie chart of daily activities into radian measures. They add angle measures for multiple activities then determine a relationship between the radian...
App
Oddrobo Software

King of Math Junior

For Students K - 6th Standards
Do your students have what it takes to be the king of math? Find out with this fun skills practice game that covers a wide range of topics from counting and basic operations to measurement and fractions.
Activity
Federal Reserve Bank

FRED in the Classroom: Measures of Inflation

For Teachers 10th - 12th Standards
Don't just tell class members about how to measure inflation, have them experience it firsthand by asking them to work with real data and construct graphs!
Assessment
Noyce Foundation

Which is Bigger?

For Teachers 6th - 7th Standards
To take the longest path, go around—or was that go over? Class members measure scale drawings of a cylindrical vase to find the height and diameter. They calculate the actual height and circumference and determine which is larger.  

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