Students can create a string art project with perpendicular lines.
Lesson I
Title: All the "Right" Angles
Grade Level: 4 - 6
Subject: Mathematics//Geometry/Art/Measurement
Learner Outcomes: Student will:
Materials:
overhead
overhead tangram pieces
paper
straws
pipe cleaners
geoboards
geobands (rubber bands)
rulers
string
black poster board (7x7 inch squares)
cardboard pieces
push pens
scissors
darning needles
Data Projector or LCD Panel
Technology/Tools/Courseware:
Multimedia computer with internet access
Data Projector or LCD Panel
Teacher Notes:
Teacher may want to work with small groups to get string art activity started.
Procedures:
1. Discuss or review basic geometric terms. (point, line, line segment, end points, vertex, rays, parallel lines, and intersecting lines) Introduce angles. Discuss how an angle is formed. (angle is formed by two rays joined at the same endpoint) Draw or place a picture of a right angle, an acute angle and an obtuse angle on the overhead. After discussing the definition of the three different angles (right angle-an angle with 90 degrees that looks like the corner of paper; acute angle-a cute little thing that is smaller than 90 degrees; obtuse angle-an angle larger than 90 degrees) do the following activity.
2. Tangram Angles: Place the square on the right angle on the overhead. Rotate it showing that each angle fits exactly in the overhead angle. (it has 4 right angles) Use the medium triangle and place the right angle on the right angle on the overhead. Rotate the triangle showing that the acute angles are smaller than the right angle. Repeat the process using the parallelogram. Demonstrate that it has two acute angles and two obtuse angles. Have students demonstrate the angles using their arm and rotating at the elbow to show a right, acute and obtuse angle.
3. After the opening exercise have students make an angle by using two straws and pipe cleaner. Cut the straws to a length of about 5 inches. Fold pipe cleaner in half and push one straw on each end (if straw is large double the pipe cleaner). Demonstrate the different types of angles and have students show with their angles.
4. Go on a Scavenger Angle Hunt in the room. Fold a piece of paper into three parts (or use Scavenger Worksheet). At the top of the paper write acute, right and obtuse. Students can work with a partner to find different angles in the classroom. They will bend the straw angle to fit the angle they find. Students should start at the right angle and make the straw angle either smaller or larger to fit the item. Students will list the items they find in the appropriate column. End the activity by listing items found on the overhead. Students can show the angles they found. As an extended activity students can make a list of angles they find at home.
5. Geoboards will be used in this lesson to show different types of triangles. Distribute geoboards. Give students time for free exploration with the geoboards. Have students form a right angle on the geoboard using one rubber band. Students will then release one side of the band from the vertex to form a triangle. The triangle will be named by the right angle. Discuss the other angles in the triangle. Repeat this process for the acute and obtuse angles. If students have a hard time seeing the angles have them cover up the side of the triangle opposite the angle they are looking at. This way they see only the angle and not the polygon.
6. Pass out The Straight Curve Worksheet for creating a parabola using an acute angle. The students will connect corresponding numbers with straight lines to create the parabola. If students haven't had much experience with drawing straight lines practice connecting points to form straight lines. Students can then complete Fun Angles Worksheets 1 and 2. After completion of the worksheet students will draw their own angle and use it to create a string art project.
7. Students will draw an acute angle (about 45 degrees) on a 7 X 7 inch poster board square. This angle should look like The Straight Curve Worksheet. Each ray should be 10 cm long. Mark the rays at each cm with a point. Make sure students place the point on the ray not beside it. Number the points from 1 to 10 on each ray. Number one will start at the vertex on one ray and number 10 will start at the vertex on the other ray. Do not number the vertex. Place poster board angle on top of cardboard pieces and punch a hole at each point with the push pen. Tape string to back of poster board. Sew with needle to connect the corresponding point with yarn or string. Darning needles need to be used for safety reasons. Design should look like a parabola when completed.
8. Students can play Zip Around 1 and 2 game for review of vocabulary.
9. Power Point Presentation: Jeopardy
Modifications:
Adjust the lesson to meet individual needs. Visually impaired students can experience the string art activity by using enlarged models and shoe strings to lace the angle. Cooperative grouping, peer helpers and teachers can work with small groups.
Enrichment:
To learn more about angles go to these web sites:
Hamilton's
Math to Build On - Definitions of shapes
Math League
- learn more about angles
Great
Activity - Angles (grade 5-6)
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:
Angle: the figure formed when two rays are connected at
the same end point
Right angle: an angle with 90 degrees
Acute angle: an angle with less than 90 degrees
Obtuse angle: an angle with more than 90 degrees
Vertex: the point where two lines or line segments meet
Ray: part of a straight line with one end point
Point: an exact location in space
Line: a collection of points that go on endlessly in opposite
directions
Line segment: two points on a line and all parts of a
line between them
End points: points at the end of a line segment
Parallel lines: two lines that never meet
Intersecting lines: lines or line segments that meet or
cross and have only one point in common
Parabola: a curve with points that are equal distant from
a fixed point
Extension:
Make up a Bingo Game using vocabulary and different types of angles.
Students can fill in their own boards.
Students can create a string art project with perpendicular lines.
Reproducible line designs can be found in Dazzling Math Line Designs by Cindi Mitchell - Scholastic
Creating Line Designs Book
2, Book 3, Book 4 - Golden Educational Center (Grade Levels 1-7)
How to Enrich Geometry Using String
Designs by Victoria Pohl
String Art Design Kits can be purchased through math catalogues such
as Dale Seymour
Evaluation:
Evaluation should be based on teacher observations and completed string art project.
State Standards:
West Virginia Instructional Goals and Objectives
Math: 4.33, 5.29, 5.30, 6.32
Art: 4.7, 4.10 5.16,
5.4, 6.3, 6.4
Measurement: 4.41, 5.36, 6.43
Teacher and Literature Resources:
Dazzling Math Line Designs
- Scholastic
Dale Seymour Catalogue
How to Enrich Geometry Using String
Designs by Victoria Pohl
Creating Line Designs Book
2, Book 3, Book 4 - Golden Educational Center (Grade Levels 1-7)
Angles - Lets Investigate
by Marion Smoothey and Ted Evans - Ages 7-12
Amazon
Website for teacher made interactive
quizes or tests
Created by:
Jeanne Beard
Linda Hull
Connie Miragliotta
|
|
|
|
|
|
|