Geometry Unit

1
Geometry Unit

• 8th Grade Math Technology Six Week Unit
• Holly L. Norgaard CECS 5500
  Summer 2000

2
Theoretical Background

• Math lends itself to discovery and inquiry
• Several math TEKS address problem solving methods
  (8.14, 8.15, 8.16)
• Geometry allows for concrete manipulation of
  objects and experimentation
• Technology allows for exploration and discovery
  through software applications and Internet access

3
Benefits of Inquiry

• High level of student involvement
• Flexibility
• Opportunities for creativity
• Shift to internal motivation

• Increased self-confidence
• Improved attitudes
• Greater retention and achievement
• Improved classroom environment

4
Description of Unit

• Designed for an alternate day block schedule
• 90 minute class sessions allow more time for
  experiments
• 14 lessons a full six weeks
• 11 lessons include Math and TA TEKS

5
Technology Focus

• The Geometers Sketchpad?
• Spreadsheets
• Internet searches
• Teacher resources on-line

6
Lessons 1 - 3

• Squares, Rectangles, and Rectangular Prisms

7
TEKS

• Mathematics
• (8.2) A, B, C
• (8.8) A, B, C
• (8.10) A, B
• (8.16) A, B

• Technology
• (1) F
• (2) A
• (7) B

8
Activity Highlights

• Experiments and manipulation of prisms
• Use of spreadsheets to calculate and predict
  surface area and volume
• Intro to The Geometers Sketchpad
• Cube Coloring Problem
• http//explorer.scrtec.org/explorer/explorer-db/ht
  ml
• Squaring Off!
• http//explorer.scrtec.org/explorer/explorer-db/ht
  ml

9
Lessons 4 - 5

• Triangles and Triangular Prisms

10
TEKS

• Mathematics
• (8.2) A, B, C
• (8.7) C
• (8.8) A, B, C
• (8.9) A
• (8.16) A, B

• Technology
• (1) A, F
• (2) A
• (4) B
• (5) B

11
Activity Highlights

• Experiments manipulation with prisms
• The Geometers Sketchpad
• Internet search
• Pythagoras Theorem
• http//www.geocities.com/CapeCanaveral/Launchpad/3
  740/
• Pythagoras Playground
• http//www.kyes-world.com/pythagor.htm

12
Lessons 6 - 7

• Circles and Cylinders

13
TEKS

• Mathematics
• (8.1) C
• (8.2) A, B, C
• (8.8) A, B, C
• (8.10) B

14
Activity Highlights

• Calculating p using round foods
• ? Activities
• http//www.ncsa.uiuc.edu/edu/RSE/RSEorange/Piactiv
  ities.html
• Experiment with Volume
• http//math.rice.edu/lanius/Geom/cyls.html
• Hands on experimentation and manipulation of
  circles and cylinders

15
Lesson 8

• Geometry Mid-Term The Coordinate Plane

16
TEKS

• Geometry Mid-Term
• All Math and TA TEKS from Lessons 1 - 7

• The Coordinate Plane
• Math TEK (8.7) D

17
Activity Highlights

• Geometry mid-term
• Pencil/paper tasks
• Performance section utilizing spreadsheets
• Coordinate Characters

18
Lesson 9

• Pyramids and Cones

19
TEKS

• Mathematics
• (8.2) A, B, C
• (8.8) B
• (8.14) C, D
• (8.15) A, B

• Technology
• (1) A, F
• (2) A

20
Activity Highlights

• Experiments using SAGE kits
• Hands on manipulation and measurement of pyramids
  and cones
• The Geometers Sketchpad

21
Lesson 10

• 3-D Drawings

22
TEKS

• Mathematics
• (8.1) C
• (8.2) A, B, C
• (8.7) A
• (8.8) B, C
• (8.14) D

• Technology
• (1) A, F
• (2) A
• (4) B

23
Activity Highlights

• The Geometers Sketchpad
• 3-D Drawing and Geometry
• http//forum.swarthmore.edu/workshops/sum98/partic
  ipants/sanders/Geom3D.html
• Sand castle designs and volume calculations

24
Lessons 11 - 12

• Dilation, Translation, and Symmetry

25
TEKS

• Mathematics
• (8.2) A, B, C
• (8.6) A, B
• (8.9) B
• (8.16) A, B

• Technology
• (1) A, F
• (2) A
• (4) B

26
Activity Highlights

• Sponge shape dilations
• The Geometers Sketchpad
• Symmetry Groups
• http//www.geom.umn.edu/lori/kali/
• Dueling Pinwheels
• http//math.rice.edu/lanius/misc/
• Student created symmetrical designs

27
Lesson 13

• Geometry Test

28
TEKS

• Exam to cover all Math and TA TEKS
• from Lessons 1 - 12

29
Activity Highlights

• Geometry Test
• Paper and pencil tasks
• Performance section utilizing The Geometers
  Sketchpad

30
Lesson 14

• Geometry and Beyond

31
TEKS

• Mathematics
• (8.7) B

• Technology
• (4) B
• (5) B
• (7) A

32
Activity Highlights

• Internet searches for geometry applications in an
  area of interest
• Production of an essay detailing the findings