Graphing and Writing Linear Equations (Grade 8) By: Catherine ...
Graphing and Writing Linear Equations (Grade 8) By: Catherine ...
Graphing and Writing Linear Equations (Grade 8) By: Catherine ...
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Lesson 2<br />
5.2 Rates of Change<br />
(a) Objectives: (1) Finding rates of change from tables <strong>and</strong> graphs.<br />
(2) Determining whether a graph or table is representative of a linear function.<br />
(b) Instructions: (1) Review previous days homework. Give answers to all problems. Explain any<br />
questions they had trouble with in detail.<br />
(2) Explain the days goals to students.<br />
(3) Think <strong>and</strong> Discuss: Back to the down hill skiing example. This time, you begin<br />
skiing at 1500 feet (at 0 seconds) <strong>and</strong> after 30 seconds you are at 504 feet.. Does<br />
anyone have an idea as to how we fight find the rate of change between the 2<br />
positions of the skier?<br />
(4)Instructional Portion: Put up the lesson's overhead. Ask students to take a few<br />
moments to copy it down in their notebook. Present <strong>and</strong> explain the new material<br />
on the overhead.<br />
Example 2 p221 of text - Model for students to show how to find the<br />
rate of change using a table.<br />
(5) Technology Group Work: Students will work in groups of 2 or 3. They will use<br />
their graphing calculators to help fill out the technology worksheet. Each student<br />
will h<strong>and</strong> in his own worksheet for assessment. This exercise will help them<br />
practice how to find the rate of change in a graph, underst<strong>and</strong> dependent <strong>and</strong><br />
independent variables <strong>and</strong> how to determine if a function is linear.<br />
(6) Independent Practice: For homework, write a realistic example of a word<br />
problem that has a dependent <strong>and</strong> independent variable. Write out the word<br />
problem <strong>and</strong> make a table displaying the X <strong>and</strong> Y values. Please make the<br />
difference between each X value the same <strong>and</strong> each Y value the same. However,<br />
the change in X's should be different than the change in Y's.<br />
8