1. Unit 2: Linear Functions This chapter will include some review from last year. Mostly, we will be solving equations – lots of equations! 2.1 Multiple Representations of Mathematical Relationships

2. How could you tell (without graphing) that this is a function? y = │ 3x+5 │ Write down your ideas/strategies. Write down this problem on your COMMUNICATOR Be prepared to share your work with the class. prepare for the test. Page 26 of your INB Students should remember That this is a v-looking graph Because it is an absolute value Function graph. So they could Do a vertical line test and show It’s a function.

3. ITEMS of BUSINESS Monday (A-day students) is last day to retake Ch. 1 Test Tuesday (B-day students) is last day to retake Ch. 1 Test CHAPTER 2 TEST is next Wednesday/Thursday ALL Ch. 2 missing or absent work is due! PARENT TEACHER CONFERENCES next Wednesday/Thursday 3:45 – 7:15

4. Have your homework out on your desk.

5. People with 100%, try this honors question: How might you know (w/o graphing) that the graph of this function will look similar to this? The highest power of the x-variable is 2, so it is a quadratic function. *We always go off the highest power of the variable. y = 3x 2 – 2x + 1

6. Page 26-27 of your INB prepare for the test on Wednesday & Thursday. Stuff I still need to review for the test:

7. 1.The quotient of m and 9 is y 2.The difference of k and 10 is h 3. b is 5 less than 2a4.The sum of twice a number and 8 is y Answers: 1.m/9 – y (write division the big-boy way plz) 2.K-10 = h 3.b=2a – 5 (students will write b =5-2a) Ask: what is 5 less than 20? 20-5 compare 4. 2n+8 = y

8. 11 = 2x +1 5 y = 2x + 1 (5,11) or (7,15) or (6,13) Infinite solutions! Trying to make a connectin here from last chapter (1-dimensional equations) to this chapter (2-dimensional equations).

9. y = -3x + 5

10. Ask students how term number “relates” to the number of items in each group. Discuss with groups. Answers will likely be “+2”. No, no, no people! I asked how term number relates to items in group. You told me how number in each group relates to the number in the next group. Make a table with headings n & g. Fill out the table. Redirect students to find how numbers in column 1 relate to numbers in column 2. “I want an equation using n & g please.” Someone will come up with 2n-1 = g Next, ask how many dogs are in the 43 rd group? Answer: 2(43) – 1 = 85

11. Based on how you sorted the graphs, how would YOU define DISCRETE & CONTINUOUS?

12. Based on how your group sorted the graphs, how would YOU define them? Going UP from left to right. Going DOWN from left to right. No direction or Flat Goes UP and DOWN, as you move from left to right.

13. Based on how you sorted the graphs, how would YOU define DISCRETE & CONTINUOUS?

14. Tell a different story about the popcorn to describe this graph. You are still at the movies. You and your friend go to the movies and share a large bucket of popcorn. Tell a story to describe the graph. p. 66

15. 4 WAYS OF SAYING THE SAME THING: That X and Y have a RELATIONSHIP : Y=3X

16. So what’s a function? Every X goes to EXACTLY one Y. CLASS ACTIVITY BillyBob Cafeteria Gym SallyMae JennySue Gym

17. Go carefully thru these and teach Students to watch for x’s going To two more places. Talk about The vertical line test and show, Using 2 ordered pairs, why it’s Not a function if the vertical line Hits in 2 or more places. #25, find one example to show it’s Not a function.

18. FIRST Go to desmos website and teach them How to graph each of the parent functions. They will put the parent function equation And matching graph, one on each desk. Then have them sketch the graph of each. SECOND Define names of graphs: Absolute value Linear Quadratic Cubic Have them divvy up the “child” equations Amongst themselves and start graphing Them in desmos. They will sort them out On their desks as they go. Also, they Will write them on their papers. THIRD Do a whole-class sort on the board. FOURTH Have them describe common characteristics. y = │x│ y = x y = x 2 y = x 3 name of graph Describe the common characteristic: List the equations that belong to the parent graph above. Describe the common characteristic: List the equations that belong to the parent graph above. Describe the common characteristic: List the equations that belong to the parent graph above. Describe the common characteristic: List the equations that belong to the parent graph above.

19. Ladies first!

20. Don’t forget, when graphing:

21. How do I know which is DEPENDENT And which is INDEPENDENT? Then ask yourself: Does ___________ depend on __________ or does ___________ depend on ___________? $total spent# of cans $total spent# of cans First determine the unknowns. ___________ & ___________ $total spent# of cans The TOTAL DEPENDS... # OF CANS is INDEPENDENT

22. Do the CIRCLED PROBLEMS on the PRACTICE TEST. When you finish, you can work on the rest of the problems. Practice Test

23. Answers 4 6 7 11 12 14 18 19 22 23

24. 10possible Now, rework the ones you missed AND finish the rest of the practice test. -1 = 90% -2 = 80% -3 = 70% -4 = 60% -5 or more: F What’s your score?

25. SHOW YOUR WORK Practice Test