Warm-up-Matching with Quadrilaterals

Matching with Quadrilaterals

Flip over cards to match the quadrilateral shape with its name in this memory style game.
FYI- Trapezium is another name for a trapezoid.

Click for Matching with Quadrilaterals

Are the adjacent angles of a kite congruent?
What can you say about the adjacent sides of a kite?

Warm-up-Matching with Quadrilaterals and other Polygons

Matching with Quadrilaterals and other Polygons

Flip over cards to match the polygon shape with its name in this memory game.  Includes quadrilaterals and a triangle, pentagon, hexagon and octagon.

Click for Matching with Quadrilaterals and other Polygons

How long did it take you to match the polygons?

Exploration-Draw Tilted Squares

Draw Tilted Squares

Experiment with this interactivity until you can draw tilted squares confidently.

Click for Draw Tilted Squares

Decide whether any of the collections of points listed below form a square.
If so, which ones?
Can you make this decision without plotting the points on a grid?
              Explain how you decided.

1. (8, 3)  (7, 8)  (2, 7)  (3, 2)
2. (3, 3)  (7, 4)  (8, 8)  (4, 7)
3. (16, 19)  (18, 22)  (21, 20)  (19, 17)

Exploration - Diagonals to Quadrilaterals I

Diagonals to Quadrilaterals I

This activity allows you to discover what types of quadrilaterals can be formed when the diagonals meet in a certain way.

Two line segments can be drawn to intersect in various ways:

• they could be perpendicular
• they could bisect one another, or both

Depending on the arrangement of these segments, various quadrilaterals can be formed by connecting the endpoints of the segments.

• Click to show perpendicular diagonals
• Click to show perpendicular diagonals, one bisected
• Click to show congruent diagonals
• Click to show bisected diagonals
• Explore what types of quadrilaterals you can make by moving the red dots.

Click for Diagonals to Quadrilaterals I

For each constraint above, list the types of quadrilaterals that you formed.

Exploration - Diagonals to Quadrilaterals II

Diagonals to Quadrilaterals II

Investigate the types of quadrilaterals that can be formed when certain restrictions are placed on the diagonals.

• Click to show perpendicular bisectors
• Click to show perpendicular bisectors congruent
• Click to show congruent bisectors
• Click to show bisected diagonals
• Explore how the quadrilaterals change as you move the red dot.

Click for Diagonals to Quadrilaterals II

For at least one of the cases above:
  What can you conclude about the side lengths of the quadrilateral that is formed?
  When you drag the red dots, does the relationship between the side lengths change?
                What types of quadrilaterals can be formed if the diagonals are perpendicular bisectors?

Exploration - Parallelogram Exploration Tool

Parallelogram Exploration Tool

A point is chosen along the diagonal of a parallelogram, and segments parallel to the sides are constructed through that point.  This applet allows you to investigate an interesting phenomenon regarding the areas of the four smaller parallelograms formed by this construction.

• Change the configuration of the parallelogram by dragging point B

• Click Show Diagonal BD or Show Diagonal AC

• Drag point P along the diagonal

Click for Parallelogram Exploration Tool

What happens to the areas as P is moved?
How do the relationships between the areas change as the location of point P changes?

Fun & Games - Geoboard Activity

Geoboard Activity

Use this virtual geoboard to explore geometric concepts of area and perimeter for quadrilaterals.  Hint: Use one elastic to create the quadrilateral and then click measure.

Click for Geoboard

How many quadrilaterals can you make with a perimeter of 16 units?
What happens to the area of these quadrilaterals?
What sort of quadrilateral maximizes area?
              Which ones provide the smallest area?

Fun & Games - Square It

Square It

Players take turns to click on a dot on the grid.  The first player's dots will be red and the second player's (or computer's) will be blue.  The winner is the first to have four dots that can be joined by straight lines to form a square.

Click for Square It

Did you win?  How many times did it take to win?

Fun & Games - Tangrams

Tangrams

Use logic and spatial reasoning skills to assemble 4 shapes into one design.

Click for Tangrams

How many Tangrams did you solve?  What was your time?

Fun & Games-Find Quadrilaterals in Art

Find 5 quadrilaterals in art and/or  architecture.
Conduct a search for quadrilaterals found in art and architecture.
Look at ceramic tile, quilts, arts and crafts, stained glass windows, high rise buildings.
Some search engines to use are:
Google
Bing

Post a link to a quadrilateral found in art or architecture.  Comment on it.