Varie

anna noris

Table of Contents

  1. Geometria
    1. Which Quads are Which?
    2. Il trapezio, caratteristiche e area della superficie
    3. ACCESS - Parallel Lines and Transversals
    4. ACCESS - Rhombus
    5. ACCESS - Rectangles
    6. ACCESS - Kites
    7. ACCESS - Isosceles Trapezoid
    8. ACCESS - Diagonals of a Parallelogram
    9. ACCESS - Triangles formed by transversals of parallel lines
    10. ACCESS - Trapezoid
    11. ACCESS - Triangle Proportionality
    12. ACCESS - Base Angles
    13. Types of angles
    14. Net of a Cylinder
    15. Circumference = ? (Animation)
    16. Trapezoid Median: 2 Discoveries
    17. Parallelogram: Area
    18. Area of a Triangle (Discovery)
    19. Teorema di Pitagora (dim 4: di Perigal)
    20. Volume of a Rectangular Prism
    21. Rettangoli Simili
    22. Angolo al centro e angolo alla circonferenza
    23. Proof Without Words
    24. Линейни неравенства.
    25. Rotating Plane Figure Around an Axis
  2. Algoritmi
    1. The angle between the hands of a clock
    2. L'angolo compreso tra le lancette di un orologio
    3. Somma dei primi n numeri naturali

1.

Geometria

  • 1. Which Quads are Which?
  • 2. Il trapezio, caratteristiche e area della superficie
  • 3. ACCESS - Parallel Lines and Transversals
  • 4. ACCESS - Rhombus
  • 5. ACCESS - Rectangles
  • 6. ACCESS - Kites
  • 7. ACCESS - Isosceles Trapezoid
  • 8. ACCESS - Diagonals of a Parallelogram
  • 9. ACCESS - Triangles formed by transversals of parallel lines
  • 10. ACCESS - Trapezoid
  • 11. ACCESS - Triangle Proportionality
  • 12. ACCESS - Base Angles
  • 13. Types of angles
  • 14. Net of a Cylinder
  • 15. Circumference = ? (Animation)
  • 16. Trapezoid Median: 2 Discoveries
  • 17. Parallelogram: Area
  • 18. Area of a Triangle (Discovery)
  • 19. Teorema di Pitagora (dim 4: di Perigal)
  • 20. Volume of a Rectangular Prism
  • 21. Rettangoli Simili
  • 22. Angolo al centro e angolo alla circonferenza
  • 23. Proof Without Words
  • 24. Линейни неравенства.
  • 25. Rotating Plane Figure Around an Axis

1.1.

Which Quads are Which?

The following figures are quadrilaterals appearing to be squares....

Do NOT reset the applet after you have changed it. 1) Identify the Square: Drag the vertices of each “Quad” to determine which are squares. They must remain a square even while any of the four vertices are in motion. Q: Which“Quads” are real squares? QuadLetter: ________ 2) In your own words, recall and define the basic properties needed for each figure: • Quadrilateral: • Trapezoid: • Parallelogram: • Rhombus: • Rectangle: • Square: 3) Identify each of the “Quads” in the web applet as one of the above specific quadrilaterals. There may be repeats. Choose carefully. A ____________________ B___________________ C ___________________ D ____________________ E ___________________ F ___________________ 4) Investigate the Diagonals: Switch to the web applet http://www.geogebratube.org/student/m32127 and answer the following. Do NOT reset the applet after you have changed it. Q: Based on your observations, how do the measurements compare within each quadrilateral? What can you always assume about the diagonal segments and their intersecting angles for each type of quadrilateral? These assumptions must hold true even while each of the vertices is in motion. • Quadrilateral: • Trapezoid: • Parallelogram: • Rhombus: • Rectangle: • Square: 5) Open the full Geogebra application by going to www.geogebra.org and clicking “Download” then “Webstart”. Choose between a trapezoid, parallelogram, rhombus, rectangle, or a square [b](not a “plain” quadrilateral)[/b] to reconstruct in Geogebra yourself based on the defining properties or diagonal properties that you listed for this shape on this worksheet. There are multiple strategies for constructing each quadrilateral. [b]Do NOT use the “Regular Polygon” tool as this is not using your defining or diagonal properties; this is taking advantage of Geogebra’s technology.[/b]
– Lora Dunlap

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2.

Algoritmi

  • 1. The angle between the hands of a clock
  • 2. L'angolo compreso tra le lancette di un orologio
  • 3. Somma dei primi n numeri naturali

2.1.

The angle between the hands of a clock

Shows an analogue clock and calculates the angle between the hands
Change the time using the sliders. Change the hour then the minute.[br]How does changing the time by one hour or one minute affect the angle?[br]Can you write an expression for the angle? Check it works.
– Sav Balac, jalturgell

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