Paper
Ruler
Lesson: IV
Title: Circle Around
Grade Level: 4-6
Subject: Mathematics//Geometry/Reading, Listening, Art, Computer Technology
Learner Outcomes: Students Will:
Duration Of The Lesson: 3- 30 minute Sessions
Materials:
Sir Circumference And The Round Table
Ellison Die Cut Machine
Construction Paper
Overhead Projector
Overhead Projector Circles
Clear Ruler
Clear Compass
Transparencies
Student Compasses (suggest Triman Compasses without sharp ends)
Paper
Ruler
Technology/Tools/Courseware:
Multi-Media Computer
Browser
Internet Access
Kid CAD
Teacher Notes:
Pre-Cut Shapes with Ellison Die Cut Machine. Prepare shapes cut
into the configurations in Sir Cumference And The Round Table.
Procedures:
1. Read Sir Cumference
and the Round Table to Page 21, review
the vocabulary in the book. Discuss the problems.
Work in cooperative groups to brainstorm other solutions. Share.
2. Demonstrate how the rectangular table is changed to an octagonal shape using shapes prepared for the overhead. Allow Students to use the shapes to illustrate their own solutions.
3. Students fold pre-cut paper shapes and cut to create the shapes they have discovered. Discuss the seating difficulties identified with each shape.
4. Restate the title of the book. Use a KWL Chart to list student's knowledge of circles. Maintain the KWL, add details as information is learned.
5. Introduce new vocabulary, add to math dictionary (a compilation of the vocabulary introduced throughout the school year).
6. Reread Sir Cumference and the Round Table to completion. Discuss solution. Possible discussion questions: How did this solution increase the seating room? How did the circular shape give increased space to each person sitting around the table?
7. Through this experimental process identify the special properties of the circle. List on KWL Chart.
8. Introduce the compass. Use the overhead triman
compass to provide instruction in the use of the compass. The two
sided compass has straight line measure in both inches and centimeters
and can draw circles with a radius up to 11 centimeters or
4 1/2 inches. One end of the compass has a rotating circular
insert. The center is marked with a raised "bump" on the bottom.
This is placed on the center point of the desired circle. The pencil
is placed in either the inside hole or the outside hole of a sliding radius.
This determines the size of the resulting circle. During the first
experience with these devices it is a good idea to have students work in
partners to prevent paper movement while the circle is being drawn.
9. Construct a circle by first placing a point on the paper, this will be the center point of our circle. Students set compasses to 6 cm radius. (Note: You need to indicate which pencil holes they will be using to keep a 6 cm radius, you can place tape over the hole you do not want the students using) Place the compasses on the paper matching the center "bump" in the circular insert. Place pencils in the correct hole of the sliding radius, and holding the center point down on the paper draw the circumference of the circle. Draw and label a radius from the center to the circumference. The center point of the circle should be named point A and the point on the circumference should be named point B. Label the radius AB. Using a ruler draw a line from one side of the circle circumference to the other passing through the center point. Label this line diameter CD. Label the circumference of the circle by writing outside the circle with letters which wrap around it.
10. Teacher made quiz on vocabulary. To construct an online quiz.
11. Distribute art paper and compasses. Allow students time to explore the variety of circles which can be constructed and other lines etc. which can be created by varying the radius settings. Create an original abstract design. Add color. Display on bulletin board.
12. Set-up a computer station with KID CAD program to allow further exploration of lines, shapes, and circles. Students create original patterns or designs. Display.
Modifications:
Cooperative Group work
Enrichment:
Sir Cumference and the Dragon of
Pi, A Math Adventure; Cindy Neuschwander
Circling
Around Diameter, Radius, Circumference
During the winter season the lesson can be extended to the creation
of snowmen. Give each student three 8 1/2 X 11 sheets of paper and
a compass. The students should draw one circle with a 7 cm radius,
one with an 8 1/2 cm radius, one with an
11 cm. Cut each circle out. Fold each circle on the diameter,
discuss how the fold creates half circle. Fold twice more on the
radius. They now have the traditional shape for cutting a snowflake.
Create individual snowflakes. Glue to a construction paper background
(either black or blue). Decorate as desired.
Good activities to use as a computer station or with Data Projector
or LCD Panel:
Interactive Geometric
Concentration Game
Matching Geometric
Terms Game
Interactive Wordsearch,
Geometric Terms
Flash Cards Geometric
Terms (Interactive)
Matching Interactive
Introduction to Angles
Vocabulary:
Circumference: Distance measured around the outside
of a circle.
Radius: Distance from the center point to any point on
the circumference of the circle.
Rectangle/Rectangular: : A rectangle is a polygon
with 4 sides, 4 vertices, with opposite sides that have equal length.
Half/Halves: One of two equal parts that together constitute
a whole
Equal: Being the same or identical to in value
Diameter: A straight line segment passing through the center
of a circle.
Square: A square is a polygon with 4 equal sides and 4 vertices.
Corner/Angle: The figure formed when two rays are connected
at the same point.
Diagonally: Having a slanted direction
Diamond/Rhombus: : A rhombus is a polygon with 4 equal
sides, 4 vertices, and two sets of parallel sides
Diagram: A plan, sketch, drawing, or outline designed to demonstrate
or explain how something works.
Parallelogram: A parallelogram is a polygon with
opposite sides that are equal in length and parallel.
Triangle/Triangular: A triangle is a polygon with 3 sides and
3 vertices.
Octagon: A polygon with eight sides and eight angles.
Oval: An egg-shaped or elliptical form or figure
Evaluation:
Evaluation of the labeled circles.
Participation
Final Art Projects
Geometry/ Measurement: 4.36, 6.38, 6.39, 6.40
Reading and Listening: 4.19 4.20, 5.15, 5.17, 6.20
Computer Technology: 4.52, 5.47
Art: 4.7, 4.10, 5.16, 5.4
Teacher Resources:
Sir Cumference and the Round Table,
A Math Adventure; Cindy Neuschwander
Extension: Circles- Math For Fun Projects; Andrew
King, Copper Beech Books; Brookfield, Connecticut
Presto Change O, Anne Lineham
Created By:
Jeanne Beard
Linda Hull
Connie Miragliotta
|
|
|
|
|
|
|