1. Linear Functions CTSE 5040 Jennifer Miller

2. Alabama Course of Study Objectives 2. Analyze linear functions from their equations, slopes, and intercepts. a. Finding the slope of a line from its equation or by applying the slope formula b. Determining the equations of linear functions given two points, a point and the slope, tables of values, graphs, or ordered pairs.

3. TEAM-Math Objectives c. Analyze linear functions from their slopes, equations, and intercepts: Find slope of a line form equation or using slope formula. Determine the equations of linear functions given 2 points, a point and slope, tables of values, graphs, and ordered pairs.

4. Technology “Technology is not a panacea. As with any teaching tool, it can be used well or poorly. Teachers should use technology to enhance their students’ learning opportunities by selecting, or creating mathematical tasks that takes advantage of what technology can do efficiently and well” (NCTM, 2000, p. 25-26).

5. Technological Resources Geometer’s SketchPad Graphing Calculator Online Resources

6. Geometer’s SketchPad Not just Geometry Grid Form –Labeled axes Plot points Plot functions Measure slope Formulate equation Great Visuals Variety of colors Interactive Animate objects Trace objects

7. The Slope game Introduction to linear functions Pair students Student 1 –Construct 5 lines –Measure slope –Hide label Student 2 –Match slope to line Students switch Repeat Competition Student interaction Construct knowledge Class discussion

8. Graphing Calculator Y= –Multiple equations –Compare GraphTableWindow –Min, Max, Scl Trace/Zoom Table Set 2 nd + CALC –Value –Zeros –Intersection –Etc.

9. Linear Functions Activity Given y = 3x+2 Find y-intercept –Graph TRACE(ZOOM) –Table –2 nd +CALC Value x=0 –Pencil & paper X=0 solve More examples y=mx+b

10. Linear Functions Activity Use: Introduction Variety of methods More familiar with the graphing calculator –Explore features, capabilities Promotes exploration

11. Online Resources Endless resources –Java applets –Videos –Interactive games –Many more Interactive Good visuals Chose selectively –Confusion

12. Activity: Slope of a Line http://www.mathopenref.com/coordslope.h tml http://www.mathopenref.com/coordslope.h tml

13. References National Council of Teachers of Mathematics. (2000). Principles and Standards for School Mathematics. Reston, VA: Author. Page, John. (2009). Slope of a Line. Retrieved on December 11, 2009. http://www.mathopenref.com/coordslope.html The Slope Game. (2006). Key Curriculum Press.com. Retrieved on December 11, 2009. http://www.keypress.com/x5575.xml http://www.keypress.com/x5575.xml