CCSS High School: Functions (Linear, Quadratic, Exponential)
[b][color=#1551b5]This GeoGebra Book contains discovery-based learning activities, investigations, and meaningful remediation worksheets that were designed to help enhance students' learning of concepts related to Functions: Linear, Quadratic, and Exponential Models. [/color][/b]
Table of Contents
- HSF.LE.A.1, 1.A, 1.B, 1.C
- Equation of a Line: Dynamic Illustrator
- Blueprint Equation of a Line (I)
- Graphing Linear Equations: Question Generator (V1)
- Graphing Linear Equations: Question Generator (V3)
- Graphing Linear Equations: Question Generator (V2)
- Exponential Functions: Graphs
- Exponential Growth vs. Linear Growth
- Exponential Growth & Decay (Illustrated Meaning)
- Half-Life Action!!!
- Animation 158
- Half-Life Action (2)!!!
- Half-Life Action (3)!!!
- Animation 159
- HSF.LE.A.2
- Relating SLOPE and Y-INTERCEPT to the REAL WORLD
- Writing the Equation of a Line (I-VA)
- Writing Linear Equations (I) - B Obvious
- Writing the Equation of a Line Given a Slope & Point (V1)
- Writing Linear Equations Given Slope & Point (V2)
- Writing Linear Equations Given 2 Points (y-int = integer)
- Writing Linear Equations Given 2 Points (y-int not necessarily an integer)
- Quiz: Application Problems - Writing Linear Equations Given 2 Points
- Writing the Equation of a Line Given Both Intercepts
- Writing Equations of Parallel and Perpendicular Lines
- Exponential Functions: Graphs
- Half-Life Function
- HSF.LE.A.3
- Fastest Growing Function?
- HSF.LE.A.4
- Solving Exponential Equations (I)
- HSF.LE.B.5
- Relating SLOPE and Y-INTERCEPT to the REAL WORLD
- Links to Other CCSS High School: Functions Resources
- Functions Resources
- *Additional: Links to CCSS High School: Geometry Resources
- Geometry Resources
Equation of a Line: Dynamic Illustrator
How are the parameters (i.e. coefficients) of the terms on the right side of the equation of the line made visible in the graph itself? Explain.
Quick (Silent) Demo
Relating SLOPE and Y-INTERCEPT to the REAL WORLD
Link to [color=#0000ff][b][url=https://docs.google.com/document/d/19m3Q8iAKTHopwKct2QsGpOfy1AoLrUH2YNi-xXm6yJc/copy]Relating SLOPE and Y-INTERCEPT to the REAL WORLD[/url][/b][/color][br]
Fastest Growing Function?
The applet below contains a collection of 6 functions.[br]Each function is color-coded so its graph is the same color as its description & equation listed on the right. [br][br][i]Of all these listed functions, which one will eventually "beat all the others", so to speak, with respect to increasing at the fastest rate? Explain your reasoning. [/i]
Quick (Silent) Demo
Solving Exponential Equations (I)
[b][color=#cc0000]Directions:[/color] [br][br]1) Solve the given exponential equation you see on the right side of the applet. [br]2) Write an exact expression for the solution to this equation. (It should be written as a logarithm.)[br]3) Use your calculator to obtain an approximate decimal value of this solution [br] (Round this value to the nearest 0.01).[/b][br][br]4) [b]Check the reasonableness of your solution by determining the coordinates (x, y) of the [br] intersection of graphs[/b] [i][color=#0000ff][b]f[/b][/color][/i] [b]and[/b] [i][color=#9900ff][b]g[/b][/color][/i][b].[/b] [br][br][i][color=#1e84cc]Generate as many examples as you need and work through these examples in order to master this concept! [br][/color][/i][br][color=#cc0000][b]Note:[/b][/color] [br]For some generated problems, you may need to [color=#cc0000][b]ZOOM WAY IN[/b][/color] or [color=#cc0000][b]ZOOM WAY OUT[/b][/color] in order to see the point of intersections of graphs [i][color=#0000ff][b]f[/b][/color][/i] and [i][color=#9900ff][b]g[/b][/color][/i].
Functions Resources
[list][*][b][url=https://www.geogebra.org/m/k6Dvu9f3]Interpreting Functions[/url][/b][/*][*][b][url=https://www.geogebra.org/m/uTddJKRC]Building Functions[/url][/b][/*][*][b][url=https://www.geogebra.org/m/GMvvpwrm]Linear, Quadratic, and Exponential Functions[/url][/b][/*][*][b][url=https://www.geogebra.org/m/aWuJMDas]Trigonometric Functions[/url][/b][/*][/list]
Half-life function: Quick Exploration. (Large point & slider moveable.)
What does it mean for a function to be odd? (Points moveable.)
Geometry Resources
[list][*][b][url=https://www.geogebra.org/m/z8nvD94T]Congruence (Volume 1)[/url][/b][/*][*][b][url=https://www.geogebra.org/m/munhXmzx]Congruence (Volume 2)[/url][/b][/*][*][b][url=https://www.geogebra.org/m/dPqv8ACE]Similarity, Right Triangles, Trigonometry[/url][/b][/*][*][b][url=https://www.geogebra.org/m/C7dutQHh]Circles[/url][/b][/*][*][b][url=https://www.geogebra.org/m/K2YbdFk8]Coordinate and Analytic Geometry[/url][/b][/*][*][b][url=https://www.geogebra.org/m/xDNjSjEK]Area, Surface Area, Volume, 3D, Cross Section[/url] [/b][/*][*][b][url=https://www.geogebra.org/m/NjmEPs3t]Proof Challenges[/url] [/b][/*][/list]