Butterflies, Pinwheels, and Wallpaper

maddison.myers, Meena Raghavan, Aug 17, 2015

8th Grade Math Manhattan Middle School Unit 3

Table of Contents

  1. Investigation 1
    1. Inv 1.1 - Line Reflections
    2. Inv 1.2 - Rotations
    3. Inv 1.3 - Translations
    4. Inv 1.4 Figure 1 - Properties of Transformations
    5. Inv 1.4 Figure 2 - Properties of Transformations
    6. Inv 1.4 Figure 3 - Properties of Transformations
  2. Investigation 2
    1. Inv 2.1 - Connecting Congruent Polygons
    2. Inv 2.2A - Congruent Triangles
    3. Inv 2.2B - Congruent Triangles
    4. Inv 2.2C - Congruent Triangles
    5. Inv 2.2D - Congruent Triangles
    6. Inv 2.2E - Congruent Triangles
    7. Inv 2.2F - Congruent Triangles
  3. Investigation 3
    1. Inv 3.1 - Coordinate Rules for Reflections
    2. Inv 3.2 - Coordinate Rules for Translations
    3. Inv 3.3 - Coordinate Rules for Rotations
  4. Investigation 4
    1. Inv 4.1AB - Focus on Dilations
    2. Inv 4.1C - Focus on Dilations
    3. Inv 4.3E

1.

Investigation 1

All investigations from Investigation 1.

  • 1. Inv 1.1 - Line Reflections
  • 2. Inv 1.2 - Rotations
  • 3. Inv 1.3 - Translations
  • 4. Inv 1.4 Figure 1 - Properties of Transformations
  • 5. Inv 1.4 Figure 2 - Properties of Transformations
  • 6. Inv 1.4 Figure 3 - Properties of Transformations

1.1.

Inv 1.1 - Line Reflections

[b]1) In your greenbook open to Inv 1.1 (pg 10) 2) Part A1: Reflect the polygon over the line AE. 3) Then answer questions Part A: 2, 3, 4 4) Have a teacher check your work to give you credit. [/b]
– maddison.myers

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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2.

Investigation 2

  • 1. Inv 2.1 - Connecting Congruent Polygons
  • 2. Inv 2.2A - Congruent Triangles
  • 3. Inv 2.2B - Congruent Triangles
  • 4. Inv 2.2C - Congruent Triangles
  • 5. Inv 2.2D - Congruent Triangles
  • 6. Inv 2.2E - Congruent Triangles
  • 7. Inv 2.2F - Congruent Triangles

2.1.

Inv 2.1 - Connecting Congruent Polygons

[b]Investigation 2.1 on pg 31 in your greenbook Transform ABCD to fit directly on PQRS Do all Parts A,B,C,D[/b]
– maddison.myers

2.2.

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2.3.

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2.4.

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2.5.

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2.6.

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2.7.

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3.

Investigation 3

  • 1. Inv 3.1 - Coordinate Rules for Reflections
  • 2. Inv 3.2 - Coordinate Rules for Translations
  • 3. Inv 3.3 - Coordinate Rules for Rotations

3.1.

Inv 3.1 - Coordinate Rules for Reflections

[b]On your worksheet do Inv 3.1 ABC[/b]
– maddison.myers

3.2.

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3.3.

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4.

Investigation 4

  • 1. Inv 4.1AB - Focus on Dilations
  • 2. Inv 4.1C - Focus on Dilations
  • 3. Inv 4.3E

4.1.

Inv 4.1AB - Focus on Dilations

[b]In your greenbook turn to page 77 Do the dilation instructed in part A at the top of page 77 Answer Parts A & B1 in your notebook [i]Hint: Use the area tool, angle tool, and length tool to help answer the questions [/i] Part C is on the next file in the geogebra book [/b]
– maddison.myers

4.2.

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4.3.

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