| Pre-Calculus 3126 | |||
| Chapter 1 - Graphs | |||
| VOCABULARY: abscissa, ordinate, intercepts, zeros, roots, symmetry, quadratic equations, absolute value, extraneous solutions, average rate of change | |||
| SAMPLE WRITING PROMPTS: A. Discuss the procedure for determining the symmetries of a graph. B. Compare and contrast even and odd functions. | |||
| Code | LE's & SPI's | Fundamental Course Skills | Section |
| P | Pre-requisite from previous courses. | Use the distance and midpoint formulas and determine intercepts. | 1/2 Day ~ 1.1 p. 9-10 #5-20 (3rds) #25-58 (4ths) |
| S | SPI 2.1 Students will sketch the graphs of basic functions. | Graph equations by plotting points and using graphing utility. | 1/2 Day ~ 1.2 p. 19-20 #1-13 odd #19-29 odd |
| S | SPI 2.4 Determine if a function is even, odd, or neither. | Test an equation for symmetry with respect to x-axis, y-axis and the origin. | 1 Day ~ 1.3 p. 30-32 #11-68 (4ths) |
| S | SPI 1.4 Apply equations and graphs of conic sections to model real-world phenomena. LE 1.1 Select and use appropriate algebraic functions to model real-world situations. | Write the standard form of the equation of a circle. Graph the circle and find its radius and center. | |
| P | Pre-requisite from previous courses. | Solve equations using a graphing utility. | 2 Days ~ 1.4 p. 43-44 #1-114 (5ths) |
| P | Pre-requisite from previous courses. | Solve linear, quadratic, absolute value, and radical equations. | |
| S | SPI 2.5 Use an appropriate technology to solve inequalities. | Solve linear, compound and absolute value inequalities algebraically as well as graphically using interval notation. | 1 Day ~ 1.5 p. 56-57 #13-28 (3rds) #43-92 (4ths) |
| P | Pre-requisite from previous courses. | Identify key characteristics of lines given their equation. | 1 Day ~ 1.6 p. 71-73 #1-88 (5ths) |
| P | Pre-requisite from previous courses. | Write equations given key characteristics. | |
| Chapter Review | 1 Day ~ 1.7 p. 77-78 #1-80 (5ths) | ||
| This chapter could take up to 8 days. It could be treated as an independent review focusing on 1.4. For now I will take 6 days for the material, 1 day for a review, and 1 day for the test. | |||