1. Unit 2 Linear Equations and Functions

2. Unit Essential Question:  What are the different ways we can graph a linear equation?

3. Lessons 2.1-2.3 Functions, Slope, and Graphing Lines

4. What is a function?  Domain  Range

5. Rate of Change = Slope

6. Graphing Linear Equations  Slope Intercept Form  Standard Form  Horizontal  Vertical

7. Homework:  Have a good weekend!

8. Bell Work:

9. Lesson 2.4 – 2.6 Parallel/Perpendicular Lines, Standard Form, and Direct Variation

10. Parallel Lines  Lines that never intersect. If two lines never intersect, then they must have the same… SLOPE!!!!!!  The lines y = 3x + 10 and y = 3x – 2 are parallel!!!

11. Perpendicular Lines  Intersecting lines that form 90 degree angles. Perpendicular lines have the opposite-reciprocal slope.  The lines y = 3x + 4 and y = -1/3x – 8 are perpendicular.

12. Standard Form  Ax + By = C, where A, B, and C are integers (not fractions or decimals).  To graph a linear equation in standard form, find the x and y intercepts.  X-intercept: this is when y = 0, so simply plug 0 in for y, and solve for x.  Y-intercept: this is when x = 0, so simply plug 0 in for x, and solve for y.

13. Direct Variation  In the form y = kx, where k is the constant of variation.  To find an equation in direct variation form, you use a given point to find k.  Example: If y varies directly with x, and when x = 12, y = -6, write and graph a direct variation equation.

14. Homework:  Page 102 #’s 20 – 25, 40 – 45  Page 109 #’s 3 – 29 odds

15. Bell Work:  1) Write the equation of a line in standard form that passes through the point (6,-2) and is perpendicular to the line y = -3x + 4.  2) If y varies directly with x, and when x = 10, y = -30, write and graph a direct variation equation.

16. Lesson 2.7 Absolute Value Functions

17. Lesson Essential Question:  How do we graph an absolute value function, and how can we predict translations based upon its equation?

18. Example:

19. Examples:

20. Examples with Transformations:

21. Homework:  Page 127 #’s 3 – 20

22. Bell Work:

23. Stretching/Shrinking  When the absolute value function is multiplied by a number other than 1, it causes the parent function to:  Stretch if the number is greater than 1.  Shrink if the number is between 0 and 1.

24. Transformations:  This is when a basic parent function is translated, reflected, stretched or shrunk.  Translation: when it is shifted left, right, up, or down.  Reflection: when it is reflected across the focal point. (multiplied by a negative)  Stretched: when it is vertically pulled (multiplied by a # > 1).  Shrunk: when it is vertically smushed (multiplied by a # between 0 and 1.

25. Examples:

26. Homework:  Page 127 #’s 3 – 20

27. Bell Work: