Discovery Lessons (Interactive)
[color=#1551b5]Contains a sampler of several Geometry lessons where students actively use GeoGebra to DISCOVER many theorems and other principles/concepts for themselves. Many of the worksheets in this book contain PDF copies of the discovery lessons I have used, much to students' success, within my classes. For an exhaustive resource containing over 400 worksheets mapped to one (or more) of the CCSS-High School: Geometry standards, go to [url]https://www.geogebra.org/m/yCs9zxry[/url][/color]
Table of Contents
- Introductory Discoveries
- Slope: Intuitive Introduction
- Blueprint Equation of a Line (I)
- Quick Assessments of Introductory Discoveries
- Slope (Quiz) I
- Slope (Quiz) II
- Graphing Linear Equations: Question Generator (V2)
- Writing the Equation of a Line (I-VA)
- Discovery Learning Labs (Less Scaffolding)
- Isosceles Triangle Theorem: Discovery Lab
- Converse of IST: Template
- Parallelogram Construction Template & Discovery Lab
- Points of Concurrency: Investigation
- Parallel Lines Proportionality Theorem
- Square Template with Investigation Questions
- Tangents to Circles: Investigation
- Angle -Angle: Triangle Investigation
- Discovery Learning Labs (More Scaffolding)
- Vertical Angles Exploration (1)
- Vertical Angles Exploration (2)
- Triangle Medians: Quick Investigation
- Square Template (Scaffolded Investigation)
- Where to Sit? (I)
- Where to Sit (II)?
- Locus Tasks (Less Scaffolding)
- Interesting Coplanar Locations (1)
- Interesting Coplanar Locations (2)
- Locus Construction 1
- Locus Construction 2
- Locus Construction 3
- Locus Tasks (More Scaffolding)
- Locus Problem (1)
- Locus Problem (2)
- Locus Problem (3)
Slope: Intuitive Introduction
[color=#000000]Discovery Lesson Activity: [br][/color][color=#980000][br][/color][b][color=#0000ff][url=https://docs.google.com/document/d/1W5fggl-QmnwOoT1Yjs2MfZnwVzIF49pflGX33xe0PN0/edit?usp=sharing]Slope: Intuitive Introduction Investigation [/url][/color][/b]
Slope (Quiz) I
[b]Directions:[/b][br][br]1) In the applet below, [b]note the slope displayed.[/b][br]2) Drag one (or both) of the white points to move the line [b]so that this line has this slope.[br][/b][br]3) Click the [b]"Check Your Graph"[/b] checkbox to determine if you're correct. [br] If the slope of your line matches the slope displayed, you'll see a [color=#ff00ff][b][i]"CORRECT"[/i][/b][/color] sign appear. [br] If your line does not have the slope displayed, you'll see a [b]"Not Correct"[/b] sign appear. [br] If this happens, try again. If you need a refresher, [url=https://www.geogebra.org/m/Xutr9rPj]click here[/url]. [br]
Isosceles Triangle Theorem: Discovery Lab
[color=#000000]Use the applet below to serve as the template for your [/color][color=#0000ff][b][i]One Special Type of Triangle [/i][/b][/color][color=#000000]Investigation. [br][/color][b][color=#cc0000]The PDF file of [/color][color=#0000ff]this investigation[/color][color=#cc0000] can be found BELOW THE APPLET.[/color][/b]
Isosceles Triangle Theorem & Theorems (GeoGebra)
Vertical Angles Exploration (1)
Interact with this app for a few minutes. Be sure to drag the LARGE POINT around and be sure to move the 2 sliders you see.
Notice anything interesting? Describe as best as you can.
What happens if you make the size of the [b][color=#ff00ff]angle[/color][/b] BIGGER or smaller? [br][br][b][color=#ff00ff](You can change the size of the manila angle by using the manila-colored slider). [/color][/b]Does your response to the question above change? Why? Why not? Describe.
Interesting Coplanar Locations (1)
Interesting Coplanar Locations
Locus Problem (1)
In the applet below, [br][br][i][color=#1e84cc][b]F[/b][/color][/i][color=#1e84cc][b] is a point[/b] [/color]that is not on line [i]d[/i]. [br][b]Point [i]D[/i] is a point that lies ON [color=#666666]the line that passes through [i]A [/i]and [i]B[/i][/color]. [br][/b]The [color=#ff00ff][b]pink line[/b][/color] is the [color=#ff00ff][b]perpendicular bisector[/b][/color] of the segment with endpoints [i][color=#1e84cc][b]F[/b][/color][/i] and [i][b]D[/b][/i]. [br][br]Drag [b]point [i]D[/i][/b] along the line. What do you see? Describe in detail! [br] [br]Feel free to alter the locations of [color=#666666][i][b]A,[/b][/i][/color] [i][color=#666666][b]B[/b][/color], [/i]and/or [i][color=#1e84cc][b]F[/b][/color][/i][color=#666666]. [br][/color]Then [color=#38761d][b]clear the trace[/b][/color] and drag [b]point [i]D[/i][/b] along [color=#666666][b]the line[/b][/color] again. [br][br]Why does this occur?
Please go to the [url=https://www.geogebra.org/m/sduBXC6P]Locus Construction 1 Task[/url] and begin!