MTH 206: Geometry

Emily Lanning, Mar 12, 2024

Assignment for a Class

Table of Contents

  1. Identify and Describe Shapes
    1. Shape Exploration
    2. Geometry 2D - Shapes Activity
    3. Exploring Shapes
  2. Analyze, Compare, create, and compose shapes
    1. 6.1.2.2 Composing Shapes
    2. Matching Shapes
    3. Rotations of 2D Shapes
  3. Reason with Shapes and their Attributes
    1. Rectangles
    2. Quarters and Halves
  4. Draw and identify lines and angles, and classify shapes by properties of their lines and angles.
    1. Identifying Angles Around Us
    2. Points, Lines, Segments, and Rays
    3. Investigating Parallel and Perpendicular Lines
  5. Graph points on the coordinate plane to solve real-world and mathematical problems
    1. Coordinate Geometry: Quick Investigation
    2. 1.6 Graphing Points in the Coordinate Plane
  6. Classify 2-D figures into categories based on their properties
    1. Angle properties of Triangles
    2. Properties of Rectangles
    3. Properties of Parallelograms
    4. Some Properties of Circles
    5. Properties of a trapezoid.
    6. Properties of a Square
    7. Pythagorea Theorem
  7. Solve real-world and mathematical problems involving area, surface area, and volume.
    1. Investigating 3D Shapes - Megan Kersten
    2. Volume of cylinder
    3. Surface Area: Introductory Exercises
    4. Nets of solids (3-D shapes)
    5. Volume of Spheres
    6. Unwrapping a Cylinder: REVAMPED!
    7. Area of a Trapezoid
    8. Area of a Parallelogram
    9. Area of a Rectangle
    10. Areas of Parallelograms and Triangles
    11. Parallelogram: Area
    12. Circle Area (By Peeling!)

1.

Identify and Describe Shapes

  • 1. Shape Exploration
  • 2. Geometry 2D - Shapes Activity
  • 3. Exploring Shapes

1.1.

Shape Exploration

Are you ready?! Show me your skills![br][br]1. Click on the blue square and drag it to a different spot on the page.[br][br]2. Click on one point of the red square and turn it in a circle.[br][br]3. Click on a point on the green square. Drag the point and make the square as big as you can![br][br]CHALLENGE: Can you do it?![br]-Make the blue square as small as you can.[br]-Turn the blue square in a circle until it looks like a diamond.[br][br]Are all of these shapes still squares after the changes you made?
[br]1. How many sides does a square have?[br][br]2. What do all of the squares have in common?[br][br]3. If a square is turned on its side, is it still a square?
– Ashley Smalstig

1.2.

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1.3.

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2.

Analyze, Compare, create, and compose shapes

  • 1. 6.1.2.2 Composing Shapes
  • 2. Matching Shapes
  • 3. Rotations of 2D Shapes

2.1.

6.1.2.2 Composing Shapes

DIRECTIONS: Compose a square using two small triangles by grabbing a point at the vertex and dragging to turn it.
– Pansophic, IM 6 – 8 Math

2.2.

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2.3.

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3.

Reason with Shapes and their Attributes

  • 1. Rectangles
  • 2. Quarters and Halves

3.1.

Rectangles

Use the points, A, B or C to manipulate the rectangle to change its size. As you change the size look at the measurements below the rectangle and identify any possible relationships.
As you change the size of the rectangle, what do you notice about the measurements of the diagonals, angles and sides?
– Ronan Downes, Nick Kochis

3.2.

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4.

Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

  • 1. Identifying Angles Around Us
  • 2. Points, Lines, Segments, and Rays
  • 3. Investigating Parallel and Perpendicular Lines

4.1.

Identifying Angles Around Us

Identify acute, right, obtuse, and straight angles while exploring everyday objects in this interactive activity.
Putting It All Together
[i]Answer these open ended questions on your own or with others to form deeper math connections. [/i]
Look around the area where you are sitting. Identify a type of angle you see and describe where you see it.
– GeoGebra Content Team

4.2.

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4.3.

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5.

Graph points on the coordinate plane to solve real-world and mathematical problems

  • 1. Coordinate Geometry: Quick Investigation
  • 2. 1.6 Graphing Points in the Coordinate Plane

5.1.

Coordinate Geometry: Quick Investigation

[b]Directions:[/b][br][br]1) Graph any line.[br]2) Plot a point anywhere NOT ON THAT LINE.[br]3) Construct a line PARALLEL to the GIVEN LINE.[br][br]Go to the questions below the applet. Please answer these.
4.
Use the slope tool to measure and display the slopes of both lines. What do you immediately notice?
5.
Select the [b]Move[/b] arrow now. Drag any one or more of the orange points of the first line around. Does the phenomenon you described in your response to (4) above still hold true?
6.
In general, what can we conclude about any two non-vertical lines drawn in the coordinate plane?
– Tim Brzezinski

5.2.

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6.

Classify 2-D figures into categories based on their properties

  • 1. Angle properties of Triangles
  • 2. Properties of Rectangles
  • 3. Properties of Parallelograms
  • 4. Some Properties of Circles
  • 5. Properties of a trapezoid.
  • 6. Properties of a Square
  • 7. Pythagorea Theorem

6.1.

Angle properties of Triangles

Move the vertices of the triangles to change shape. Calculate the missing angles, then check your answers by ticking the "show" boxes.
Angle properties of Triangles
– rm11821

6.2.

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6.3.

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6.4.

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6.5.

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6.6.

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6.7.

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7.

Solve real-world and mathematical problems involving area, surface area, and volume.

  • 1. Investigating 3D Shapes - Megan Kersten
  • 2. Volume of cylinder
  • 3. Surface Area: Introductory Exercises
  • 4. Nets of solids (3-D shapes)
  • 5. Volume of Spheres
  • 6. Unwrapping a Cylinder: REVAMPED!
  • 7. Area of a Trapezoid
  • 8. Area of a Parallelogram
  • 9. Area of a Rectangle
  • 10. Areas of Parallelograms and Triangles
  • 11. Parallelogram: Area
  • 12. Circle Area (By Peeling!)

7.1.

Investigating 3D Shapes - Megan Kersten

Different net shapes of a cube - How many can you draw?
Question! (Click check at the bottom of the page to check your answer!)
How many nets of a cube is there?
Extension Activity - How many nets of a pyramid you can think of? Draw them on some graph paper!
– Freyja Fallson-Ree, Sharyn, AlisonT, GeoGebra Materials Team, , mkersten

7.2.

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7.3.

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7.4.

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7.5.

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7.6.

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7.7.

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7.8.

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7.9.

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7.10.

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7.11.

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7.12.

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