Unit 3 Linear Functions

1. Unit 3 Linear Functions

2. 10/15 Are any of the tables linear?Copy in page 20 of spiral.

3. Domain and Range p19 10/15 Essential Question: How do I write the domain and range of a function? Write questions for notes Write summary Discrete Domain lists all the x values and Range lists all the y values in order smallest to largest No need to repeat numbers. Ex. D: { -1,0,1,2,3} R: {4,5,6,7,8} Continuous Domain and Range identifies the interval covered by the graph with the number on the right, left, or both for domain and the number on the bottom, top, or both for range. include the point do not include pt. < Two arrows left and right OR down and up write all real numbers as domain or range respectively.

4. 10/15 Take Cornell notes from the following website http://www.zweigmedia.com/RealWorld/tutorialsf0/framesLA.html OR Google Linear Functions and Models Tutorial

5. 10/15 Linear Functions p 21 EQ: What are the qualities of a linear functions? Google: linear functions and models tutorial Straight Y = mx + b “change” The measure of the steepness of the line vertical line, “0” in denominator What is a linear function and how do you recognize it algebraically? What is the role of m and b in f(x)= mx + b? What is Δ “delta”? What is slope and slope formula? When is slope undefined? Write summary

6. 10/16 Complete the thinking map Non- Linear Linear

7. 10/17 Are any of the tables linear?Copy in page 20 of spiral.

8. 10/17&18Direct Variation p 23 EQ: What is direct variation and how do I recognize it in graphs, tables and equations? Google: free math help direct variation (1st link) Write notes about the topics after you read. Include some type of description that uses” y varies directly as x…” Call the constant of variation the constant of proportionality. Also cover each of the 3 key ideas. Afterwards practice Google: direct variation worksheet @ tutorvista #2-13 (#1 is )wrong Write questions I am checking notebooks for domain and range questions and summaries Write summary

9. 10/18 Direct Variation (easy patterns) p. 20 0 , 2, 4, 6, 8, 10, 0, 3, 6, ___, ____, _____, 0, 5, ______, ___, ____, _____, 0, 17, ______, ___, ____, _____,

10. 10/18 Direct Variation (easy patterns) p. 20 0 , 2, 4, 6, 8, 10, y = kx k= 0, 3, 6, ___, ____, _____, y = kx k= 0, 5, ______, ___, ____, _____, y = kx k= 0, 17, ______, ___, ____, _____, y = kx k=

11. 10/21 Warm Up complete table and turn in after 4 minutes. May use phone calculators then put them away. y = x² - 12 y = 3x + 3 y = 2ᵡ

12. Monday 10/21 how to get to webpagehttp://cstl.syr.edu/fipse/graph/TOCbook.html Scroll to here and click on analyzing graphs. From this page, scroll down to the comparing lines section for notes.

13. 10/21&22 Slope and Intercepts p 25 EQ: How do I recognize, predict, and describe both types of changes in slope intercept form of a linear function (y=mx+b)? http://cstl.syr.edu/fipse/graph/TOCbook.html • Write notes about the topics after you read including questions and summaries. Be sure to cover these ideas… a) why is it useful to draw conclusions from graphs b) 2 types of changes or shifts that can occur c) draw examples of these changes d) predict what happens if both changes occur at the same time 2)Work both practice problems online and view the solution to check yourself. 3) Get a copy of the worksheet with 20 problems due by the end of class Tuesday. Write questions Write summary

14. 10/21-22 Practice over slope and graphing Worksheet with 20 problems, start Monday and finish by the end of class Tuesday.

15. 10/22 Warm Up :complete table and turn in after 4 minutes. May use phone calculators then put them away. y = x² + 21 y = 3x - 9 y = 4ᵡ