Curated OER
Angles and Arcs
Learners discuss the sum of central angles and use string to create them on circles. They find the measure and length of both minor and major arcs.
Students give examples of concentric, similar, and congruent circles and congruent arcs.
Curated OER
Interior Angles of Regular Polygons
Students investigate the interior angles of a triangle. In this geometry lesson, students create the formula to calculate the angles inside a triangle. They observe the total sum of a triangles angle on the navigator.
Curated OER
Positive and Negative Angles and Arcs
To better understand that the intersection point of two lines lies inside a circle, learners use their keen measurement skills. They discuss arcs, rays, tangent lines, and reflex angles. Then, they put their skills to work as they...
Curated OER
Relationships Among Arc and Angle Measures in Circles
Students follow the directions on the attached worksheet to construct shapes using Geometer's Sketchpad. To start the lesson, it is suggested that the teacher guide the students through the initial problem. When constructions are...
Curated OER
Inscribed Angles
Pupils analyze inscribed angles and intercepted arcs and explore the relationships between the two. They investigate the properties of angles, arcs, chords, tangents, and secants to solve problems involving circles.
Illustrative Mathematics
Seven Circles III
A basic set-up leads to a surprisingly complex analysis in this variation on the question of surrounding a central circle with a ring of touching circles. Useful for putting trigonometric functions in a physical context, as well as...
Curated OER
Arc Length Lesson
Students find the length of the arc of a circle. In this geometry lesson, students calculate the length of an arc and find the measure of the central angle given the length of the arc. They convert between linear and angular speed. They...
Curated OER
Arc Length and Sectors
Find the length of an arc. High schoolers relate central angles to the area and length of a sector and graph circles on the TI to make predictions.
Curated OER
Measurement Investigations 2
Students complete a number of practical measuring investigations, with an emphasis on accuracy of measuring and communication of their findings. They examine how to measure by first becoming aware of the physical attributes of objects...
Curated OER
Measurement Investigations 1
Fifth graders find perimeters, areas, and volumes of everyday objects and state the precision. They work in small groups in order to take measurements, perform calculations, and write a group report about the investigation.
EngageNY
The Angle-Angle (AA) Criterion for Two Triangles to Be Similar
What do you need to prove triangles are similar? Learners answer this question through a construction exploration. Once they establish the criteria, they use the congruence and proportionality properties of similar objects to find...
Curated OER
Exploring Geometric Figures
Tenth graders explore mathematics by participating in hands-on daily activities. Learners identify a list of different shapes and classify them by shape, size, sides and vertices. They utilize tangrams and geometric pieces to gain...
Curated OER
Thumb Measurement
Pupils practice measuring using the metric system and millimeters. They measure their thumbs and record their findings. Students record the findings of their classmates and find the average or mean for the two groups.
Curated OER
Oranges and Stopwatches
Students measure various attributes of an orange. They discuss the attributes of an orange that can be measured, develop a list of attributes and describe how they can measure it, and rotate through four stations measuring the volume,...
Curated OER
Drawing Regular Polygons
Learners investigate properties of regular polygons. In this geometry lesson plan, your class will use a graphing calculator and parametric equations to construct regular polygons and investigate the relationship between the measure of...
Curated OER
Constructing Geometric Shapes
In this construction geometric shapes worksheet, student use the software program for instruction then construction shapes and bisect angles for four questions.
Curated OER
Jumping Jaguars!
Second graders accurately measure the distances they and their classmates jump. They determine the mean, median and mode of specific jumps. They are required to have two measurements for each classmate, one for standing long jump and one...
Curated OER
Math: Arcs and Chords
Students draw diagrams demonstrating how it is possible to two central angles to be congruent and their minor arcs are not congruent. In groups, they illustrate theorems with their constructed circles, create diameters of circles that...
Curated OER
Electric Hoist Problem
Students convert angle measures between degrees and radians. They are given a copy of the task sheet with a graphic to help describe the situation. Pupils review the angle and arc relationship in a circle related to length of the...
Curated OER
Properties of Arcs, Lengths and Chords
Young scholars differentiate between the different properties of arcs, arc lengths, chords, and chord lengths. In this circles lesson, students calculate the arc length of a given circle, and find the measure of the inscribed angles of a...
Curated OER
Weather Dot Com
Students examine the need for a standard unit of temperature and measure temperature with a thermometer. They discuss the details of a thermometer and the calibrations used, record temperature data for inside and outside, explore...
Cornell University
Resolution—Not Just for the New Year
Experiment with optical resolution using an inquiry-based lesson. Young researchers calculate fellow classmates' optical resolutions. They apply the information to understand the inner workings of optical instruments.
Curated OER
Solving Intercepted Arcs
Pupils investigate circles and its arcs. In this geometry lesson, students identify the relationship between an circle and its intercepted arcs. THey identify the central and inscribed angles.
Curated OER
Sectors of Pizza
Students identify the properties of a circle. In this geometry lesson, students relate properties of diameter to sections of a pizza. They calculate the measure of an arc and missing angles.