Curated OER
Angles and Arcs
Students 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
Polygons
In this polygons worksheet, 10th graders solve 10 different problems that include determining various interior angles in polygons. First, they determine the number of sides a polygon has with a given measure for each angle. Then,...
Mathematics Vision Project
Circles: A Geometric Perspective
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...
Curated OER
Interior Angles of Regular Polygons
High schoolers 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...
Inside Mathematics
Hopewell Geometry
The Hopewell people of the central Ohio Valley used right triangles in the construction of earthworks. Pupils use the Pythagorean Theorem to determine missing dimensions of right triangles used by the Hopewell people. The assessment task...
Curated OER
7th Grade Mathematics Booklet
In this 7th grade mathematics compilation worksheet, 7th graders solve and complete 40 various types of mathematics problems. They determine the measure of various angles and the side-lengths in integers of a square. Students also...
Curated OER
Inscribed Angles
Students 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
Polygons
In this polygons worksheet, 10th graders solve 10 different problems that include various types of polygons. First, they determine the number of sides that a polygon has if the exterior angle is a certain degree. Then, students determine...
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...
EngageNY
Geometry Module 5: Mid-Module Assessment
How can you formally assess understanding of circle concepts? Pupils take a mid-module assessment containing five questions, each with multiple parts.
Curated OER
Trapezoids
In this trapezoids instructional activity, 10th graders solve 5 different problems related to trapezoids and applying the appropriate theorem. First, they define a trapezoid, including its bases, legs, and base angles. Then, students use...
Curated OER
Trapezoids
In this trapezoids worksheet, 10th graders solve 10 different types of problems related to measuring trapezoids. First, they identify the isosceles trapezoid on the sheet with the bases MA and TH. Then, students use the given information...
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
Students 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
Right Triangles
In this right triangles worksheet, 10th graders solve and complete 14 various types of problems. First, they find the perimeter of the isosceles trapezoid shown. Then, students find the measures of each marked side of a right triangle....
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
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.