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CCSS High School: Functions (Linear, Quadratic, Exponential)

Tim Brzezinski, SAVAŞ ORHAN, Mar 25, 2018

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.

HSF.LE.A.1, 1.A, 1.B, 1.C
1. Equation of a Line: Dynamic Illustrator
2. Blueprint Equation of a Line (I)
3. Graphing Linear Equations: Question Generator (V1)
4. Graphing Linear Equations: Question Generator (V3)
5. Graphing Linear Equations: Question Generator (V2)
6. Graphing Linear Equations in Standard Form: Question Generator (V1)
7. Working with Linear Equations Written in Standard Form: Quiz (V2-A)
8. Working with Linear Equations Written in Standard Form: Quiz (V2-B)
9. Payment Options!
10. Exponential Functions: Graphs
11. Exponential Growth vs. Linear Growth
12. Exponential Growth & Decay (Illustrated Meaning)
13. Half-Life Action!!!
14. Animation 158
15. Half-Life Action (2)!!!
16. Half-Life Action (3)!!!
17. Animation 159
HSF.LE.A.2
1. Relating SLOPE and Y-INTERCEPT to the REAL WORLD
2. Writing the Equation of a Line (I-VA)
3. Writing Linear Equations (I) - B Obvious
4. Writing the Equation of a Line Given a Slope & Point (V1)
5. Writing Linear Equations Given Slope & Point (V2)
6. Writing Linear Equations Given 2 Points (y-int = integer)
7. Writing Linear Equations Given 2 Points (y-int not necessarily an integer)
8. Quiz: Application Problems - Writing Linear Equations Given 2 Points
9. Writing the Equation of a Line Given Both Intercepts
10. Writing Equations of Parallel and Perpendicular Lines
11. Modeling with Exponential Functions V1
12. Modeling With Exponential Functions V2
13. Exponential Functions: Graphs
14. Half-Life Function
HSF.LE.A.3
1. Fastest Growing Function?
HSF.LE.A.4
1. Solving Exponential Equations (I)
HSF.LE.B.5
1. Relating SLOPE and Y-INTERCEPT to the REAL WORLD
Links to Other CCSS High School: Functions Resources
1. Functions Resources
*Additional: Links to CCSS High School: Geometry Resources
1. Geometry Resources

Information

1.

HSF.LE.A.1, 1.A, 1.B, 1.C

1. Equation of a Line: Dynamic Illustrator
2. Blueprint Equation of a Line (I)
3. Graphing Linear Equations: Question Generator (V1)
4. Graphing Linear Equations: Question Generator (V3)
5. Graphing Linear Equations: Question Generator (V2)
6. Graphing Linear Equations in Standard Form: Question Generator (V1)
7. Working with Linear Equations Written in Standard Form: Quiz (V2-A)
8. Working with Linear Equations Written in Standard Form: Quiz (V2-B)
9. Payment Options!
10. Exponential Functions: Graphs
11. Exponential Growth vs. Linear Growth
12. Exponential Growth & Decay (Illustrated Meaning)
13. Half-Life Action!!!
14. Animation 158
15. Half-Life Action (2)!!!
16. Half-Life Action (3)!!!
17. Animation 159

1.1.

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

1.2.

1.3.

1.4.

1.5.

1.6.

1.7.

1.8.

1.9.

1.10.

1.11.

1.12.

1.13.

1.14.

1.15.

1.16.

1.17.

2.

HSF.LE.A.2

1. Relating SLOPE and Y-INTERCEPT to the REAL WORLD
2. Writing the Equation of a Line (I-VA)
3. Writing Linear Equations (I) - B Obvious
4. Writing the Equation of a Line Given a Slope & Point (V1)
5. Writing Linear Equations Given Slope & Point (V2)
6. Writing Linear Equations Given 2 Points (y-int = integer)
7. Writing Linear Equations Given 2 Points (y-int not necessarily an integer)
8. Quiz: Application Problems - Writing Linear Equations Given 2 Points
9. Writing the Equation of a Line Given Both Intercepts
10. Writing Equations of Parallel and Perpendicular Lines
11. Modeling with Exponential Functions V1
12. Modeling With Exponential Functions V2
13. Exponential Functions: Graphs
14. Half-Life Function

2.1.

Relating SLOPE and Y-INTERCEPT to the REAL WORLD

Link to Relating SLOPE and Y-INTERCEPT to the REAL WORLD

2.2.

2.3.

2.4.

2.5.

2.6.

2.7.

2.8.

2.9.

2.10.

2.11.

2.12.

2.13.

2.14.

3.

HSF.LE.A.3

1. Fastest Growing Function?

3.1.

Fastest Growing Function?

The applet below contains a collection of 6 functions. Each function is color-coded so its graph is the same color as its description & equation listed on the right. 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.

Quick (Silent) Demo

4.

HSF.LE.A.4

1. Solving Exponential Equations (I)

4.1.

Solving Exponential Equations (I)

Directions: 1) Solve the given exponential equation you see on the right side of the applet. 2) Write an exact expression for the solution to this equation. (It should be written as a logarithm.) 3) Use your calculator to obtain an approximate decimal value of this solution (Round this value to the nearest 0.01). 4) Check the reasonableness of your solution by determining the coordinates (x, y) of the intersection of graphs f and g. Generate as many examples as you need and work through these examples in order to master this concept! Note: For some generated problems, you may need to ZOOM WAY IN or ZOOM WAY OUT in order to see the point of intersections of graphs f and g.