Select the cluster for resources on this page:
Standards:
Technology-enhanced investigations:
Mathwords.com: Math Dictionary: Key vocabulary for this domain. Use with C-A and C-B:
CK-12:Geometry: concepts, videos, and practice exercises for learners to complete: Use with C-A.2.
Khan Academy: Geometry: Circles:
Khan Academy: Geometric Constructions, Tutorial videos:
Imagine Learning Classroom (formerly LearnZillion) subscription needed:
MathsIsFun.com: Constructions: This is a series of 17 animated geometric constructions, which learners would do with a compass, pencil, and straightedge only. Among those are circle constructions to find a center, tangent lines from an external point, inscribed and circumscribed circles for triangles, circle touching three points, and a pentagon construction. Aligns with C-A.3 and C-A.4.
Math Open Reference: Constructions: The site provides step-by-step animations of constructions with compass and straightedge. The list is comprehensive for lines, line segments, angles, triangles, circles, arcs, ellipses, polygons, and non-Euclidean constructions. The following align with C-A.3 and C-A.4:
NCTM Illuminations:
Thinking Mathematics: Tangent Theorems for Circles via Pythagoras: A YouTube video on two results from the geometry of circles that are easily proven using Pythagoras’ theorem.
Wolfram Demonstrations Project: Download the free Wolfram CDF player to interact with the following manipulatives. Note: Within the Wolfram Demonstration Project are 21 manipulatives addressing C-A.2, 10 manipulatives for C-A.3, and 1 manipulative for C-A.4. Among those:
Multiple Choice:
MathsIsFun.com: Circle Theorems: Content reviews inscribed angle theorems, angles in quadrilaterals inscribed in circles, the 90 degree angle between a tangent line and the radius drawn to the point of tangency. Examples are shown. Learners then complete 10 multiple choice problems on those theorems. Aligns with C-A.2 and C-A.3.
Constructed-response:
Khan Academy: Geometry: Circles: Practice questions with videos.
Performance tasks:
Illustrative Mathematics: Geometry:
Inside Mathematics: MARS Tasks:
Mathematics Assessment Project: High School: Geometry:
Mathematics Vision Project, Secondary 2 Student Edition:
Standards:
Technology-enhanced investigations:
CK-12: Geometry: Arcs in Circles: concepts, videos, and practice problems for learners to complete.
Thinking Mathematics: Radian Measure: A YouTube video with explanation of the radian measure.
Wolfram Demonstrations Project: Download the free Wolfram CDF player to interact with the following manipulatives. Note: Within the Wolfram Demonstration Project are 10 manipulatives for C-B.5. Among those:
Multiple Choice:
MathsIsFun.com: Circle Sector and Segment: Content reviews arc length and area of a sector showing how formulas are derived. It also includes how to find the area of a segment. Learners can complete 10 multiple choice problems. Use with C-B.
Constructed-response:
Khan Academy: Geometry: Circles Practice questions with videos.
Performance tasks:
Illustrative Mathematics: Geometry: Setting up sprinklers: This task aligns with standards in C-B.
Mathematics Assessment Project: High School: Geometry: Task 441: Sectors of Circles
Mathematics Vision Project, Secondary 2 Student Edition:
Common Core Math: Intro | HS Geometry Domain: CO | SRT | C | GPE | GMD | MG |