1. RCC MATH 98 (96) ORMATYC – 2015 Doug Gardner

2. We need to teach the students that are present … ask them why they are really here! What they know 6 months from now is all that matters. Learning math is not like building a house. We agree context is important … it is more a question of finding good ideas for engaging context. Algebra is about relationships … yah the boring kind with numbers!

3. What factors effect deflection (bend) of a beam? weight, length, material, shape What happens to deflection as we increase the weight? What happens to deflection as we increase the length? How does beam deflection (bending) work?

4. Weight(g)Deflection1(mm) 25015 45024 65032 85040 105048 125057 145065

5. Length(mm)Deflection(mm) 402 505 6011 7019 8029 9041 10054 11071

7. Illinois River Flow Today … 344

8. O/P AS GEOMETRY: DIM TO O/P O/P-> GRAPH-> EQ-> O/P SCIENTIFIC NOTATION Y-INTERCEPTROUNDING: y(4800) = 801.28 FT y(4800) = 801.28 FT DOMAIN & RANGE

9. O/P AS TREND: O/P-> EQ-> O/P DOES IT MAKE SENSE? DOMAIN & RANGE MEANING OF SLOPE

11. Chapter Objectives Chapter 1: Linear Relationships Section 1.1: The Shape of a Linear Equation Graphing basics Graphing ordered pairs The meaning of slope Trend line Section 1.2: Finding Linear Equations x and y intercepts Standard form From ordered pairs Choosing a trend line Section 1.3: Using Linear Equations Regression Solving for x and y Modeling Chapter 2: Quadratic Relationships Section 2.1: The Shape of a Quadratic Equation Vertex x and y intercepts Slope of the curve Section 2.2: Finding Quadratic Equations Regression Solving for y: order of operations Modeling Section 2.3: Using Quadratic Equations Finding the vertex Solving for x: the quadratic formula Modeling

12. Chapter 3: Power Relationships Section 3.1: The Shape of a Power Equation x and y intercepts Slope of the curve Section 3.2: Finding Power Equations Regression Solving for y: order of operations Modeling Section 3.3: Using Power Equations Solving for x: rational exponents Modeling Chapter 4: Exponential Relationships Section 4.1: The Shape of an Exponential Equation x and y intercepts Slope of the curve Section 4.2: Finding Exponential Equations Regression Solving for y: order of operations Modeling Section 4.3: Using Exponential Equations Solving for x: logarithms Modeling

13. Chapter 5: Logarithmic Relationships Section 5.1: The Shape of a Logarithmic Equation x and y intercepts Slope of the curve Section 5.2: Finding Logarithmic Equations Regression Solving for y: order of operations Modeling Section 5.3: Using Logarithmic Equations Solving for x: exponentials Modeling Chapter 6: Choosing the Right Model Section 6.1: Compliant Data Stat plot R-value Solving for x and y Section 6.2: Resistant Data Creative options Solving for x and y Appendix: Problem Citations

14. Website: http://staff.roguecc.edu/DGardner/faculty/http://staff.roguecc.edu/DGardner/faculty/ Username: faculty Password: 63math Book, activities, projects, excel docs, tests, syllabus Summer Math Institute: Math 63: June 15/16 Math 96: June 17/18 Doug Gardner – RCC Mathematics Funded by a grant from the National Science Foundation