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Geometry Unit

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Geometry allows for concrete manipulation of objects and experimentation ... Sponge shape dilations. The Geometer's Sketchpad Symmetry Groups ... – PowerPoint PPT presentation

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Title: 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
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