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3. MATHEMATICAL REASONING INSTITUTE LESSON GOALS 3  A.2.c – Write one-variable and multi-variable linear equations to represent context.  A.3.a – Solve linear inequalities in one variable with rational number coefficients.  A.3.d – Write linear inequalities in one variable to represent context.  A.4.a – Solve quadratic equations in one variable with rational coefficients and real solutions, using appropriate methods.  A.4.b – Write one-variable quadratic equations to represent context.

4. MATHEMATICAL REASONING INSTITUTE 4 WORKING WITH THE CONTENT Cooperative Learning In Small Groups

5. MATHEMATICAL REASONING INSTITUTE What is the Message? y = 30x Xy 130 260 390 4120 y = 30x 5 If you type 30 words per minute, the number of minutes can be x, and the total number of words (y) will be 30x. A driver drives 30 miles per hour. In x hours she travels 30x miles (y).

6. MATHEMATICAL REASONING INSTITUTE Process:  Using the handout complete the 4 tasks for the equation you receive  Prepare a poster of your results to share with the class  15 minutes to complete What is the Message? Activity 6

7. MATHEMATICAL REASONING INSTITUTE Process:  Complete the table in problem 1  Compare your answer to the first one in the table with another group before moving on  Complete the table in problem 2  Compare your answer to the first one in the table with another group before moving on  15 minutes to complete Linear Inequalities Skill Builder Activity 7

8. MATHEMATICAL REASONING INSTITUTE Process  Will work in small groups to complete the skill builder activity  Complete all five parts of the activity  Complete the discussion questions if time allows – time allotment will be 20 minutes  Think about how you could use this activity in your own classroom. Use Quadratic Equations to Analyze Projectile Motion 8

9. MATHEMATICAL REASONING INSTITUTE h = -16t 2 + v o t + h o h = the height of the object in feet at time t in seconds V o = the initial upward velocity h o = the initial height of the object Projectile Motion

10. Reflections of Learning 10

11. MATHEMATICAL REASONING INSTITUTE  Did the activities help you to better understand and master the learning goals? Why or why not?  As an instructor, what must you do in order to prepare to present such activities to your students?  What might you do differently with these two activities? Think / Pair / Share 11