Sachem Professional Development

Steven C Silvestri, Apr 19, 2023

Table of Contents

  1. Daily Number Sense Games
    1. Number Link: A Daily Number Puzzle Game
    2. Numble: A Daily Numbers Game
  2. Middle School Resources
    1. Zero-Sum
    2. Match Zero (Additive Inverse)
    3. Absolute Drop: Absolute Value Expressions
    4. Integer Catch: Identifying Integers
    5. Number Line Addition
    6. Commutative Property: Number Line Simulation
    7. Ordering Integers (Least to Greatest)
    8. Comparing Integers: Practice
    9. Optimizing Coverage: Security Cameras (MATH SHELL)
  3. Algebra I
    1. Visualizing a Sequence
  4. Geometry
    1. Morphing Parallelograms (Exploring Properties of Different Parallelograms)
    2. Triangle Angle Sum Exploration
    3. Definitions for Geometric Proofs
    4. Mark the Diagram: Midpoint
    5. Mark the Diagram: Segment Bisector
    6. Mark the Diagram: Perpendicular Lines
    7. Mark the Diagram: Perpendicular Lines 2
    8. Perpendicular Bisector Regents Question
    9. Parallelogram Construction
    10. Open Middle: Triangle Inequality Theorem
    11. Deriving the Pythagorean Theorem
    12. Isosceles (Line of Reflection)
    13. Rotational Symmetry
    14. Angle Of Rotation Demonstration
    15. Exploring the Circumference of a Circle
    16. Parts of the Circle
    17. Estimating the Circumference
    18. Rotations
    19. Reflections
    20. Translations
    21. Angle_1
    22. Angle_2
    23. Angle_3
    24. Angle_4
    25. Applet Creation: Proving Theorems about Triangles and their Angles
  5. Euclidean Golf (Rigid Motions: Discovering Formulas)
    1. Instructions
    2. Hole One
    3. Hole Two
    4. Hole Three
    5. Hole Four
    6. Hole Five
    7. Hole Six
    8. Hole Seven
    9. Hole Eight
    10. Hole Nine
  6. GeoTetris (Sequences of Rigid Motions)
    1. How To Play
    2. Level One
    3. Level Two
    4. Level Three
    5. Level Four
    6. Level Five
    7. Consider This
  7. Statistics
    1. Experimental Probability (Bar Graphs and Dot Plots)
  8. Calculus
    1. An Application of Displacement Vectors to Football Passing Routes
    2. Converting Between Logarithmic and Exponential Form
    3. Evaluating Limit Graphically
    4. Analyzing Limits
    5. Squeeze Theorem
    6. Conjugate Method
  9. GeoGebra Authors
    1. GeoGebra Authors
  10. Applet Creation Tutorials
    1. Walk-through Examples of Creating Applets

1.

Daily Number Sense Games

  • 1. Number Link: A Daily Number Puzzle Game
  • 2. Numble: A Daily Numbers Game

1.1.

Number Link: A Daily Number Puzzle Game

– Steven C Silvestri

1.2.

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2.

Middle School Resources

  • 1. Zero-Sum
  • 2. Match Zero (Additive Inverse)
  • 3. Absolute Drop: Absolute Value Expressions
  • 4. Integer Catch: Identifying Integers
  • 5. Number Line Addition
  • 6. Commutative Property: Number Line Simulation
  • 7. Ordering Integers (Least to Greatest)
  • 8. Comparing Integers: Practice
  • 9. Optimizing Coverage: Security Cameras (MATH SHELL)

2.1.

Zero-Sum

The objective of the game is to select three integers whose sum is equal to zero.
– Steven C Silvestri

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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2.9.

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3.

Algebra I

  • 1. Visualizing a Sequence

3.1.

Visualizing a Sequence

Analyze the sequence below:
Describe how you see the sequence growing?
Enumerate the sequence.
Is the sequence arithmetic, geometric, or neither? Explain.
Determine the 4th term.
Discover a recursive formula for this sequence.
Discover an explicit formula for this sequence.
Apply the explicit formula to determine the 9th term.
Different ways of visualizing the sequence:
– Steven C Silvestri

4.

Geometry

  • 1. Morphing Parallelograms (Exploring Properties of Different Parallelograms)
  • 2. Triangle Angle Sum Exploration
  • 3. Definitions for Geometric Proofs
  • 4. Mark the Diagram: Midpoint
  • 5. Mark the Diagram: Segment Bisector
  • 6. Mark the Diagram: Perpendicular Lines
  • 7. Mark the Diagram: Perpendicular Lines 2
  • 8. Perpendicular Bisector Regents Question
  • 9. Parallelogram Construction
  • 10. Open Middle: Triangle Inequality Theorem
  • 11. Deriving the Pythagorean Theorem
  • 12. Isosceles (Line of Reflection)
  • 13. Rotational Symmetry
  • 14. Angle Of Rotation Demonstration
  • 15. Exploring the Circumference of a Circle
  • 16. Parts of the Circle
  • 17. Estimating the Circumference
  • 18. Rotations
  • 19. Reflections
  • 20. Translations
  • 21. Angle_1
  • 22. Angle_2
  • 23. Angle_3
  • 24. Angle_4
  • 25. Applet Creation: Proving Theorems about Triangles and their Angles

4.1.

Morphing Parallelograms (Exploring Properties of Different Parallelograms)

– Steven C Silvestri

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4.8.

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4.10.

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4.11.

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4.12.

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4.13.

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4.14.

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4.15.

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4.16.

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4.17.

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4.18.

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4.19.

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4.20.

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4.21.

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4.22.

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4.23.

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4.24.

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4.25.

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5.

Euclidean Golf (Rigid Motions: Discovering Formulas)

  • 1. Instructions
  • 2. Hole One
  • 3. Hole Two
  • 4. Hole Three
  • 5. Hole Four
  • 6. Hole Five
  • 7. Hole Six
  • 8. Hole Seven
  • 9. Hole Eight
  • 10. Hole Nine

5.1.

Instructions

[size=100][size=85][size=200][color=#980000]Euclidean Golf (Rigid Motions)[br][/color][/size][color=#999999][i]A low-floor high-ceiling activity, designed to facilitate classroom discussions.[br][br][/i][/color][color=#980000]Aligned with NYS Next Generation Learning Standard GEO-G.CO.2:[br][/color][color=#999999][i]Represent transformations as geometric functions that take points in the plane as inputs and give points as outputs.[br][/i][/color][/size][/size][br][size=85][color=#980000]Learning Objectives[size=100]:[/size][/color][/size][size=85][color=#999999] [br] 1. Students will explore multiple solutions for each task.[br] 2. Students will discover a set of rules (expressed as functions) for performing different rigid motions.[br][br][/color][size=200][color=#980000]How to Play[br][/color][/size][/size][size=85][color=#999999]The goal is to hit the golf ball into the hole by performing the least number of strokes (rigid motions) possible.[br][br]The game display consists of two views: the action-view (left) and the control panel (right). The control panel allows the user to select and perform different rigid motions and the action-view displays the golf ball undergoing the selected rigid motion.[br][/color][/size][size=200][size=150][color=#980000]Score Card[br][/color][/size][/size][size=85][color=#999999]Above the control panel is the score card. The score card displays the current hole, the hole's par, and the score (the number of strokes performed) on the current hole.[br][/color][size=200][size=150][color=#980000]The Control Panel[br][/color][/size][/size][color=#999999]Inside the control panel are three tabs: translate, rotate, and reflect. Click on a tab to select the indicated rigid motion. The selected rigid motion is denoted by the white background and maroon text. To specify the select rigid motion, interact with the sliders and toggle switches. At the bottom of the control panel is the expression for the indicated rigid motion. Click the [i]Swing[/i] button to perform the rigid motion. Note, each hole has a max of 5 strokes.[br][/color][size=200][size=150][color=#980000]Action-View[br][/color][/size][/size][color=#999999]To refresh the action-view click the cyclic arrows in the top right.[/color][/size]
Practice below:
– Steven C Silvestri

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5.4.

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5.5.

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5.7.

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5.8.

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5.9.

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5.10.

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6.

GeoTetris (Sequences of Rigid Motions)

  • 1. How To Play
  • 2. Level One
  • 3. Level Two
  • 4. Level Three
  • 5. Level Four
  • 6. Level Five
  • 7. Consider This

6.1.

How To Play

– Steven C Silvestri

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.

Statistics

  • 1. Experimental Probability (Bar Graphs and Dot Plots)

7.1.

Experimental Probability (Bar Graphs and Dot Plots)

– Steven C Silvestri

8.

Calculus

  • 1. An Application of Displacement Vectors to Football Passing Routes
  • 2. Converting Between Logarithmic and Exponential Form
  • 3. Evaluating Limit Graphically
  • 4. Analyzing Limits
  • 5. Squeeze Theorem
  • 6. Conjugate Method

8.1.

An Application of Displacement Vectors to Football Passing Routes

Field View
Whiteboard View
– Steven C Silvestri

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8.4.

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8.5.

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8.6.

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9.

GeoGebra Authors

  • 1. GeoGebra Authors

9.1.

GeoGebra Authors

[list][*][url=https://www.geogebra.org/u/stevencsilvestri]Steven C. Silvestri[/url][/*][*][url=https://www.geogebra.org/u/tbrzezinski]Tim Brzezinksi[/url][br][/*][*][url=https://www.geogebra.org/u/stevephelps]Steve Phelps[/url][/*][/list]
– Steven C Silvestri

10.

Applet Creation Tutorials

  • 1. Walk-through Examples of Creating Applets

10.1.

Walk-through Examples of Creating Applets

Visualizing Modular Arithmetic
Interpretting Proportions Graphically
Visualizing The Difference Of Two Perfect Squares (Derivation)
Triangle Angle Sum Theorem (Visual Proof)
Index of GeoGebra Tools
– Steven C Silvestri

Information