A #11 (Due February 17th ~ Monday) 10pts
2 problems to solve... NO formal write-up expected. I'll just look at what you did to make sure you worked on both problems. You may view the problem on-line or download it as a word dociment - whatever works for you :)
Building a Fence View on-line Download the File Million Dollar Mission View on-line Download the File
A #12 (Due ~ Ongoing...) Modeling
Go back to the activities listed below and organize the numerical data in t-tables. Then make scatterplots of each data set - either by hand on graph paper or using a software package. If you need/want help with Excel, click here to go to a website that explains how to create scatter plots on Microsoft Excel.
Please keep these data sets and graphs... we will continue to add components to this assignment over the next few weeks and finally turn in one project
- 1. Leapfrog Game (# frogs on one side, # moves to win)
- 2. Locker Problem (# students (0, 20, 40, 60, ..., 200), # lockers open)
- 3. Summing Multiples (n, Sum from n to 100n)
- 4. Elevator (# minutes, floor #)
- 5. Million Dollar - Double (#days, Total Amount Earned)
- 6. Million Dollar - Triple (#days, Total Amount Earned)
- 7. Million Dollar - One and a Half (#days, Total Amount Earned)
- 8. Tower of Hanoi (# discs, # moves to win)
- 9. Crickets Chirping (Temp, # chirps)
- 10. Stacking Cups (# cups, Height of stack)
- 11-13. Squares Cubed (Length of Side, Perimeter/ Area/ Volume)
A #13 (Due February 24th ~ Monday) 10pts
On pg. 78 - 79 in the 6-8 text you will find problems in which you are to connect Stories to Graphs and Graphs to Stories. Please complete these 2 assignments (you can print them from your CD (blackline masters) if you want to). You will be turning these in on Monday at the beginning of class. The stories do not have to or need to be lengthy but they do need to sufficiently describe the situation. Please label the axes and title all graphs.
A #14 (Due February 24th ~ Monday) 10pts
Once you have completed the 2 new parts of A #12 and both parts of A #13, click here for Journal Entry #6.
A #15 (Due March 3rd ~ Monday) Function Families
Part One: Matching Algebraic with Graphical Representations (we did this in class on Wednesday-click to download or view a copy of the handouts
| Algebraic Models |
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| Graph Models |
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Part Two: Now match each of the pairs in part one with the correct function name below... if you don't know, make a good guess :)
Linear, Quadratic, Cubic, Exponential, Logarithmic, Square Root, Absolute Value, Step, Periodic (Trigonometric)Click here when you are finished to check your answers :)
Part Three: Numerical Representations - Make a t-table of values for each function in part one. The table should contain atleast 5 pairs of data.
Note: In order to complete this assignment you will need to use one of the following:
A #16 (Due March 3rd ~ Monday) Function Parameters
In this assignment we are going to investigate how given values of parameters (a, b and c) effect the graph of a function. For each function listed below you are to investigate how each parameter effects the parent function... my suggestion is that you only investigate one parameter at a time.
| Function | Basic (Parent) Function |
| y = ax + b | y = x ; where a=1, b=0 |
| y = a(x-b)^2 + c | y = x^2 ; where a=1, b=0, c=0 |
| y = a * 2^(x-b) + c | y = 2^(x) ; where a=1, b=0, c=0 |
| y = a * sqrt(x-b) + c | y = sqrt(x) ; where a=1, b=0, c=0 |
Note: This is a really powerful way to investigate parameters using GSP in a dynamic way... this website walks you through the investigation step-by-step. If you have GSP (or access to it) give it a try!!
USING GSP-4 AS A DYNAMIC FUNCTION PLOTTER http://mathforum.org/~shelly/Lucent/gsp4_function_plotter.html
A #17 (Due no later than 5:00pm pm March 24th ~ Monday) 60 points
This assignment is your final project for Unit Two. You will be using information from Assignments #11 - 16 as your work on the project. Please click here to view the specific details and requirements for this project.
A #18 (On March 12th ~ Wednesday) 15 points
We will take a short in-class QUIZ on A #16... you may use your notes from the assignment. Click here for a Sample Quiz Question
Linear Equations (Week of 3/25)
Click here for suggested investigations and readings
Quadratic Equations (Week of 4/1)
Click here for suggested investigations and readings
Systems of Equations (Week of 4/14)
Click here for a set of problems that need to be turned in with the final exam