Making Angles on a Circle
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This learning activity provided by:
Author:
Stephanie Carver
System: Cullman City School: Cullman City Board Of Education
General Activity Information
Activity ID:
2067
Title: Making Angles on a Circle
Digital Tool/Resource: Clock With No Hands
Web Address – URL:
Overview: Students will divide a clock into equal parts to form angles. Students will use the clock hands as rays to form angles.
This activity results from the ALEX Resource Gap Project.
Associated Standards and Objectives
Content Standard(s):
Mathematics 24. Identify an angle as a geometric shape formed wherever two rays share a common endpoint.
Unpacked Content
Evidence Of Student Attainment:
Students:
Describe an angle.
Describe an angle's relationship to a circle. Teacher Vocabulary:
Angle
Ray
Endpoint
Geometric shape
Vertex
Line
Point
Line segment Knowledge:
Students know:
Angles are geometric shapes formed when two rays share a common endpoint.
How to draw points, lines, line segments, and rays Skills:
Students are able to:
Identify an angle as two rays with a common endpoint. Understanding:
Students understand that:
angles are geometric shapes made of two rays that are infinite in length and are measured with reference to a circle with its center at the common endpoint of the rays. Diverse Learning Needs:
Essential Skills:
Learning Objectives: M.4.24.1: Define degree, angle, ray, and vertices.
M.4.24.2: Recognize and draw shapes having specified attributes such as a given number of angles or a given number of equal faces.
M.4.24.3: Estimate angle measures using 45o , 90o , 180o , 270o , or 360o .
M.4.24.4: Identify angle, ray, and vertices.
M.4.24.5: Draw shapes to possess defining attributes.
Prior Knowledge Skills:
Build and draw shapes to possess defining attributes.
Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles).
Model partitioning circles and rectangles.
Decompose pictures made of simple shapes.
Identify squares, circles, triangles and rectangles.
Explore shapes or figures that can be decomposed into smaller equal parts.
Alabama Alternate Achievement Standards
AAS Standard:
Learning Objectives: I can form an angle using two rays that share a common endpoint.
I can divide a circle into equal parts to form angles.
Strategies, Preparations and Variations
Phase: During/Explore/Explain
Activity: Display the clock with no hands on an interactive whiteboard or pass out paper copies of this clock. Review with the students that the measurement of a circle is 360°. Explain to the students that they will draw the hands (rays ) of the clock to form angles. Use the following questions to lead a class discussion allowing the students time to draw each angle.
If we divided the clock (circle ) into halves, what would be the measurement of each half? Allow one student to come to the board and draw an example of this angle. Students should discover that 6:00 makes a straight angle of 180°.
If we divided the clock into four equal quarters, what would be the measurement of each quarter? Allow one student to come to the board and draw an example of this angle. Students should discover that dividing the circle into fourths creates right angles of 90°. You can further discuss the 180° and the 270° angle if desired.
If we divided the clock into three equal sections, what would be the measurement of each section? Allow one student to come to the board and draw an example of this angle. Students should discover that this creates obtuse angles of 120°.
If we divided the clock into eight equal sections, what would be the measurement of each section? Allow one student to come to the board and draw an example of this angle. Students should discover that this creates acute angles of 45°.
Assessment Strategies: The students will complete the following exit pass:
If it is 9:00 p.m. on the clock, what angle do the hour and minute hands make?
If it is 6:00 a.m. on the clock, what angle do the hour and minute hands make?
The students should identify that the 9:00 p.m. angle forms a right angle of 90° but they might identify that angle as 270° if you discussed that in the class discussion.
Advanced Preparation: The teacher will need to be able to display the clock with no hands on a whiteboard where the students can draw and erase easily. If there is not access to an interactive whiteboard, the students can use paper copies.
Variation Tips (optional):
Notes or Recommendations (optional):
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