Unit+1+Journal+Responses

__** Unit 1: Solving/Simplifying/Linear Functions **__

Journal Assignments: All due dates are listed on your teacher's site (when the journal entry should be finished).
__** 1.1: **__ List the math classes you have taken during high school. Write a few sentences describing your feelings toward math and why - either a good experience or a bad one. Think about what type of learner you are describe the best methods teachers use to help you understand the topics. Please describe your goals after this year - do you need this class to graduate and you are a senior, are you here for MCAS reasons, or what math class or classes do you plan on taking next year?

__** 1.2: **__
Look at the following, which is an example that has been worked out step by step. Explain in full sentences each step that was taken in the problem and why that step was chosen. Be clear about the step you are looking at, for example "going from line 1 to line 2, ..." All these steps should be written in your online journal.

__** 1.3: **__
After spending time in class and at home solving a variety of equations, identify the type of problem that is the easiest for you to solve. Also identify the type of problem that you struggle with the most. Why is this type of problem the most challenging? Where do you make your errors most often? What tricks or reminders should you write here (in a different color) as a reminder to prevent that error in the future?

__** 1.4: **__
List the following words and give a mathematical definition in your own words on your wikispace.
 * Linear Function
 * Relation
 * Domain
 * Range
 * Increasing
 * Decreasing
 * Slope
 * Intercept
 * Degree

If you need assistance defining any of the words above, this site may be helpful... [|Vocabulary Help]

__** 1.5: **__
Read pages 67-69 to understand what a relation, linear function, and function notation is then answer the following questions.


 * In your own words describe what a relation is and a linear function is.


 * Give an example of a relation that is a function and a relation that is not a function. Represent the relation graphically and as a set of coordinate points. Explain why your second example is not a function. **__You cannot use example 2 on page 68 as your example.__**


 * Give an example of a linear function written in function notation. Identify the slope and y-intercept of the function. Graph the function and label at least 3 coordinate point that are on the line. **__You cannot use example 4 on page 69 as your example.__**

__** 1.6: **__
Below there is a document which 4 linear graphs shown and 6 linear equations given. In a paragraph, describe how you matched each equation to its matching graph and the order in which you matched them. What graphical features did you look at or which parts of that equation did you focus on?



__** 1.7: **__
Below there is a document which 4 linear graphs shown and 12 linear equations given. In a paragraph, describe how you matched each equation to its matching graph and the order in which you matched them. Each graph matches one linear function in slope-intercept form and one linear function in standard form There should be two equations per graph. Did you match equivalent functions first or did you try to match each function to a graph first? What graphical features did you look at or which parts of that equation did you focus on?



__** 1.8: **__
Using the graph below:
 * Complete the following table
 * Write a paragraph describing the walking pattern shown. Use as much detail as possible so that some one would be able to recreate this graph from your description.

Answer the following questions:
 * When is Anne driving the fastest? Explain how you found your answer.
 * What time is Anne stopped? Explain how you found your answer.
 * When is Anne's speed decreasing? Explain how you arrived at your answer.
 * What is Anne's speed at 7 minutes?
 * At what approximate time is Ann driving 35 mph?

__** 1.9: **__
In your classroom binder, title a page "Introduction to Graphical Transformations".


 * Copy f(x) onto the page and create a table of values using x-values 0 through 4.
 * On the right side, sketch a graph and plot each of the five points from your table in a different color.
 * Connect the dots with your pencil to create a linear graph.
 * Back on the left side, copy down g(x) and create a table of values for x-values 1 - 5.
 * On the __**SAME GRAPH**__, plot each of the 4 points from your g(x) table with the same four colors you used before and in the same color order.

f(x)=1/2x

g(x)=1/2(x - 1) + 4

__**You can use the following document link to help you set up your table of values and graphs if necessary.**__

After completing the table of values and graphs, in your online journal, describe anything you observe about the relationship of the matching coordinate points. Try to relate this thinking to the equation of g(x).

http://www.onethestyle.com/christian_louboutin/christian_louboutin_daffodil/christian_louboutin_daffodile_aurora_boreale_pumps