Coordinate Graphing and Linear Equations
Grade 9, 11 and College Algebra

COMMENCEMENT CONTENT STANDARDS

• Students will use mathematical analyasis, scientific inquiry, and engineering design, as appropriate, to pose questions, seek answers, and develop solutions.
• Students will access, generate, process, and transfer information using appropriate technologies.
• Students will apply the knowledge and thinking skills of mathematics, science, and technology to address real-life problems and make informed decisions.

BENCHMARK STANDARDS
CONTENT STANDARDS
 

PERFORMANCE STANDARDS

CONTENT STANDARDS

 PERFORMANCE MEASURES

Students will be marked on a scale ranging from 1 to 4. The grades will be assigned in the following fashion:
 

ENABLING ACTIVITES
    This two week lesson plan will cover material concerning coordinate graphing and the creation of linear equations. The content of this unit will be developed using the TI-82 calculator.  Time will be sent having the students and graph points in the Cartesian Plane using the calculator. The students will be introduced to the concept of the slope of a line.  They will be asked to represented slopes of different lines both numerically and graphically. Slopes of lines which are parallel and perpendicular will be discussed, as well as lines that have slopes which are positive, negative, zero and lines whose slopes do not exist. The students will be introduced to the concept of writing equations of lines.  They will then be given situations from real-life problems and they will be asked to represent this data in both a tabular form and as a linear model. Using the model which they created they will be asked make predictions concerning possible outcomes of future events.

 WORKSHEET 1

1. Simplify the expressions in both the x and y column and place the answers in a second t-chart

 2. Using your TI-82, graph the coordinates which you found in question 1.

3. Which coordinates are located in Quadrant I? II?  III? IV?

4. Change the type of graph from one where you just points to one where you connect the points.  What have you drawn?

WORKSHEET II

You are in need of a new car since your old car has died, so on Monday you stop at a dealership which offering a 42 month lease.  The salesperson tells you the terms of the lease will require you to pay $159 a month.
In addition you will be required to pay $1000 down, a $ bank fee and a $200 security deposit.

6 months
15 months
26 months
36 months
42 months

On Tuesday you decide to try another dealership who is offering another deal on the exact same car you yesterday.  This salesperson offers you a 36 month lease for $199 a month.  The security deposit here is $400 and bank fee is $798.

6 months
15 months
26 months
36 months.
 

WORKSHEET III

According to the National Association of Scholars, the average number of instructional days at a college in the year 1914 was 204.  During the academic year 1993, the number of days had decreased to 156.  If you represent this information as order pairs in the form (year, days in class)

While the number of days that a student spends in formal classes have decreased, the average tuition paid by have increased.  In 1914 the average daily cost was $7.lS
while in 1993 the average cost was $100.  If you this information as an order pair in the form (year,  cost)

WORKSHEET IV

You are a little short of cash so you decide to turn your hobby of making holiday ornaments into a money proposition by selling them at a flea market.  The first day you are there you sell 3S items and you make a profit $20.  The next time that you sell the items you sell lS2 the profit you make is $254.  The third time you sell ornaments you sell 98 of them and the profit you make is $146.