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Welcome to Advanced Algebra II Ms. Starbuck

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1 Welcome to Advanced Algebra II Ms. Starbuck
Use your EQUATION CARD to find your GROUP and your ASSIGNED SEAT

2 Welcome to Advanced Algebra X Ms. Starbuck
ID Pictures TODAY PASS Room - Cafeteria

3 Group Norms Using your group’s TRUE NATURE CARD, your group should agree on ONE characteristic of that icon that describes a good, working math group and be able to explain WHY that characteristic is important to the function of the group.

4 Partner Puzzles With your group, play the ’24 GAME’ or the SCRAMLE SQUARES on your desk. When time is called, switch desks. As you work, think about how you used your GOOD GROUP characteristics to complete the task.

5 How To Be A SPARTAN: S - P - A - R - T - N -

6

7 Algebra IIX Class Learning Objectives
EXPLAINS you what we are up to today in math class! GIVES direction to the day’s math lesson COPY Objective in Composition CW Notebook COMPLETE all classwork under the copied objective, showing ALL work SAVE all work- DON’T throw anything out until the end of the semester ORGANIZE your BINDER periodically throughout the school year

8 How to set up your assignment heading
All assignments should be completed on college-ruled notebook paper or graph paper, using pencil or BLUE or BLACK ink only. POW’s and Projects should be typed, single spaced, using a 12-font size. When completing any homework, classwork or project assignment, the following heading information should be on your paper: Your First AND Last Name Date (August 27, 2017; mo/day/yr) Class/Period Assignment Title (Page #, Problem #’s)

9 Logistics Summer Homework Syllabus Scavenger Hunt TJ Student Handbooks
Student ID’s Emergency Procedures WIKI Page Binder and Supplies by Monday Aug. 28

10 Algebra IIX CLO Students will find information on classroom and Thomas Jefferson policies and procedures using the teachers Class Syllabus. CW: Starbuck’s Syllabus Scavenger Hunt Access Starbuck’s Algebra IIX Syllabus at

11 Course Syllabus and Expectations
Academic and Behavior Agreement Signature Page – Due MONDAY August 28 Binders and Supplies Due MONDAY August 28 ‘Math In The News’ Due Monday August 28 Summer Homework Quiz Friday

12 Advanced Algebra II Student ID – Visible at ALL times while in building Syllabus – Student/Parent Academic Agreement Signed and Returned Monday August 28 HW: Assignment #1: ‘Math in the News’ Due MONDAY AUGUST 28 Daily Class Objective Copy in CW Section of your binder Complete classwork on page with objective Summer Homework – QUIZ Friday 8/25

13 Advanced Algebra X Summer HW Quiz TODAY
Binders and Supplies due MONDAY HW: ‘Math In The News’ Due MONDAY CW: Recursion

14 Advanced Algebra X Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will IDENTIFY and DESCRIBE mathematical, recursive patterns from games and situations. HW Due: ‘Math In The News’ Course Binder

15 Advanced Algebra X HW Due:‘Selfie’ Learner Profile
Course Binder and Supplies Syllabus ELG Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will EXPLAIN the difference Between ARITHMETIC and GEOMETRIC Recursion from patterns NOTES HW: WSHT 1.1, 1.2 Arith. and Geom. Recursion

16 Advanced Algebra II CW: Tower of Hanoi Play the game!
Play the game! Describe the pattern of moves required to complete the game of 3 stacks in the minimum 7 moves What is the minimum number of moves for 4 stacks? 5 stacks? What happens to the pattern of moves when there are 4 stacks? 5 stacks?

17 Advanced Algebra X Tower of Hanoi – Patterns Recursive Sequences
Copy the TABLE: # of Discs Min # of Moves 2 3 7 4 15 5 31 6 ?

18 Advanced Algebra X Recursive Sequences
Advanced Algebra X - Essential Learning Goals (ELG) Place in CW Section of your binder Chapter 1: READ: Pgs Investigation: Inventory Defining Recursion

19 Advanced Algebra II Copy the Class Objective:
Students will DESCRIBE and DEFINE patterns of change as ARITHMETIC or GEOMETRIC from TABLES, GRAPHS and SITUATIONS Using the tables, DESCRIBE the PATTERN OF CHANGE for each as AITHMETIC or GEOMETRIC. Write a RECURSIVE FORMULA for each table: x y -12 1 -18 2 -24 3 -30 4 -36 x y 1 15 2 5 3 5/3 4 5/9 5/27 x y 1 3 2 12 48 4 192 5 768

20 AAX Students will DESCRIBE and DEFINE patterns of change as ARITHMETIC or GEOMETRIC from TABLES, GRAPHS and SITUATIONS A restaurant has 4-top tables (seats 4 customers). When the tables are placed end-to-end, 3 additional seats are added with each table added. A population of honeybees is decreasing by 8% each year. Find the first 6 TERMS for each situation (u1 – u6) DEFINE each situation as ARITHMETIC or GEOMETRIC Write a RECURSIVE RULE for each situation

21 Advanced Algebra II un = un-1 (1 - .2) u0 = 380
HW: WSHT 1.1,1.2 HW Quiz FRIDAY Using Recursion Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will DEFINE Geometric RECURSION as GROWTH or DECAY and be able to WRITE Recursive formulas for both using TABLES, GRAPHS and FORMULAS Use the Recursive formulas to find the SEQUENCE of the next 5 terms: un = un-1 (1 - .2) u0 = 380 un = un-1 (1 + .3); u1 = 6

22 AAX Students will DEFINE Geometric RECURSION as GROWTH or DECAY and be able to WRITE Recursive formulas for both using TABLES, GRAPHS and FORMULAS. Use the Recursive formulas to find the SEQUENCE of the next 5 terms: un = un-1 (1 - .2) u0 = 380 un = un-1 (1 + .3); u1 = 6 Which sequence is GROWTH? Which sequence is DECAY? Explain how you know from the sequence AND the expression

23 Advanced Algebra ARITHMETIC and GEOMETRIC Recursion
Common DIFFERENCES and RATIOS Growth vs. Decay NOTES HW: WSHT 1.1, 1.2 HW Quiz FRIDAY

24 AAX

25 Advanced Algebra Copy the CLASS OBJECTIVE in the CW section of your binder: Students will evaluate numerical data, create a SEQUENCE of TERMS and define them as ARITHMETIC or GEOMETRIC recursion.

26 Advanced Algebra HW: WSHT 1.1, 1.2 HW Quiz FRIDAY
Partner Table Task: Write your solutions on ONE paper, TWO names… With your partner, use your number pair to complete the following: Use the FIRST number as u1. Find the COMMON DIFFERENCE between the two numbers Write an ARITHMETIC RECURSIVE FORMULA Find the COMMON RATIO between the 2 numbers (3 dec. pl.) Write a GEOMETRIC RECURSIVE FORMULA. Is your number pair GROWTH or DECAY? Explain TWO ways. Find the next 5 terms for each recursive formula

27 Table Task Checklist All work in INDIVIDUAL CW Section of binder
On Partner Paper: Original # pair Common Difference Arithmetic Formula Common Ratio Geometric Formula Growth/Decay Next 5 Terms for each formula

28 Students will DESCRIBE and DEFINE patterns of change as ARITHMETIC or GEOMETRIC from TABLES, GRAPHS and SITUATIONS

29 Working with RECURSION
Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will GRAPH recursive sequences and COMPARE and CONTRAST the graphs of the different recursions. U0=-8 U0=2 Un=Un Un=Un-1*1.5 Find U1 to U8 Graph each sequence on GRAPH PAPER HW: 1.3, 1.4

30 Advanced Algebra II Using the graphs, DESCRIBE the PATTERN OF CHANGE for each:

31 Cornell Notes

32 Notes-Recursion What is RECURSION? ARITHMETIC Recursion Pg. 31
GEOMETRIC Recursion Pg. 33 The REPEATED application of a procedure or definition. A mathematical process where each term is generated by REPEATING the same mathematical operation(s) using the PREVIOUS term un-1 to generate the NEXT un term. Repeatedly ADDING or SUBTRACTING by the same value to generate a sequence of numbers (LINEAR) Ex: u0 = 5 (Starting Term) un = un Gives the sequence: 5, -2, -9, -16… Repeatedly MULTIPLYING by the same value to generate a sequence of numbers (EXPONENTIAL) Ex: u0 = 2 u n-= un-1 * 6 Gives the sequence: 2, 12, 72, 432…

33 AAX Students will DESCRIBE and DEFINE patterns of change as ARITHMETIC or GEOMETRIC or GEOMETRIC SHIFT from TABLES, GRAPHS and SITUATIONS CW: Pg. 51 Match Them Up Table Task: Group Recursion Problem Using your situation, complete the following: Define your situation as ARITHMETIC or GEOMETRIC or GEOMETRIC SHIFT; GROWTH or DECAY Write a RECURSIVE RULE for your situation Find the first 8 values for your recursion Graph those 8 points on graph paper Does your situation have a LIMIT? Explain!

34 Working with RECURSION
HW DUE: WSHT Recursion 1.1, 1.2 RETENTION Quiz Today CW: Pg. 31, 34/ INVESTIGATION, #1-5, 8, 11 Recursion on the Calculator

35 Class Objective Students will DESCRIBE and DEFINE numerical sequences ARITHMETIC or GEOMETRIC then WRITE ARITHMETIC or GEOMETRIC Recursive formulas from the patterns.

36 Advanced Algebra X HW DUE: WSHT Recursion 1.1, 1.2
Using the given sequences of numbers, DESCRIBE the PATTERN OF CHANGE for each as ARITHMETIC or GEOMETRIC, find the COMMON DIFFERENCE or COMMON RATIO and write a RECURSIVE FORMULA for each: 1. 2, -5, -12, -19… 2. -3, 12, -48, 192…. 3. 64, 16, 4, 1, .25… CW: Pg. 34/ #1-5, 8, 11; Pg. 41/ #1-5, 8-10 HW: WKSHT 1.3, 1.4 Chapter 1 TEST Friday

37 EXIT Complete EXIT #1 – 15 min.

38 AAX Recursion and Graphs
Copy the Class Objective in the CW Section of your binder: Students will define the graphs of recursive sequences as ARITHMETIC or GEOMETRIC and describe the patterns in the graphs. CW: Investigation Pg. 51 – Match Them Up Retention Quiz #2 HW: WSHT 1.3, 1.4 Due Monday

39 Algebra II SAT Practice #1
Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will GRAPH recursive sequences and COMPARE and CONTRAST the graphs. CW: Pg. 51/ Investigation; Pg. 55/ #1-3, 5 NOTES HW: Worksheet 1.3, 1.4 HW Quiz #2 FRIDAY

40 Advanced Algebra X Looking at Limits and Recursion
Copy the Class Objective in the CW Section of your binder: Students will investigate SHIFTED GEOMETRIC sequences and define the END BEHAVIOR for a recursive rule. NOTES – Geometric Shift, Limits CW: Pg. 45/ Medicine Doses; 49/ #1, 5, 8 HW: Worksheet Practice 1.3, 1.4

41 Advanced Algebra X HW Quiz #2
Copy the CLASS OBJECTIVE in the CW section of your binder: Students will use RECURSION to calculate LOANS and INVESTMENTS using APR Recursion, Loans and Investments Read: Pg HW: WSHT 1.5-Loans and Investments

42 Advanced Algebra II No more passes out of class
Copy the CLASS OBJECTIVE: Students will use RECURSION to explore the values of LOANS and INVESTMENTS, calculation payments and deposits to reach numerical goals. HW: 1.5 Worksheet, Loans and Investments CW: Pg. 62 Investigation; 64/ #1, 4, 7, 8 Unit 1 Test MONDAY

43 Advanced Algebra II Determine if each of the following is a LOAN or an INVESTMENT How often is the interest calculated, explain Find the VALUE of the situation in 3 YEARS U0=$13,500 Un=Un-1( ) – 250 2. U0=25 Un=Un-1(1+ ) +100

44 Advanced Algebra II HW: 1.5 Loans and Investments Unit 1 TEST TUESDAY
CW: Group Table Task – 1 paper per group Copy the CLASS OBJECTIVE: Students will explore the RECURSIVE RULES for LOANS and INVESTMENTS, calculate payments and deposits to reach numerical goals. Determine if your situation is an INVESTMENT or a LOAN Define each of the parts of your recursive rule Write a RECURSIVE RULE for your situation Find the PAYMENT/DEPOSIT necessary for your situation reach the indicated goal Show the TABLE that includes your goal Graph at least 5 points in your table that show the GEOMETRIC curve

45 Advanced Algebra X HW: The Rules of Algebra
Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will SOLVE linear equations, showing all steps and checking their solutions. Solve for ‘x’ showing ALL steps (12 minutes). Check your solutions: 45 = 4x – ⅘ x + 9 = -11 x – 14 = 15x (9x – 7) = -2(7x – 11) 8x2 – 15 = ⅔(x – 5)2 – 7 = 89 HW: The Rules of Algebra

46 Advanced Algebra X HW: Reason and Apply Wsheet Lines of BEST FIT
Copy the Class Objective in the CW Section of your binder: Students will collect data and draw a LINE OF BEST FIT through the data and WRITE an EQUATION for the line in 3 forms. Students will DEFINE the SLOPE and y-INTERCEPT in context of the situation Lines of BEST FIT Where’s the FIRE? Copy the table on your paper # People Trial #1 Time (sec) Trial #2 Trial #3 Mean Time (sec)

47 Advanced Algebra X What is the time for the water to get to the fire if 8 people are on the line? 18 people? 80 people? How many people will need to be on the line for a time of 10 seconds? 30 seconds?

48 Advanced Algebra X Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will GRAPH linear equations from all forms and IDENTIFY the SLOPE and y-INTERCEPT for each Finish CW: Where’s the Fire? Notes HW: Rules of Algebra HW: WSHT Practice 31, 16 Practice 31; #1-4, 10, 12, 13(w/#4) 16(w/ y = -5/2x-1), 20

49 Slopes Define the SLOPES for the following equations. What kind of lines do they create? x = 5 y = -3 y = 3x +2; y = 3x – 8 y = 3/4x +5; y = -4/3x + 2

50 Advanced Algebra II Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will TRANSLATE ARITHMETIC Recursive Formulas to LINEAR EQUATIONS CW: Pg. 116/ Investigation Match Point, # 1-9 NOTES: Linear Functions; Recursive to LINEAR HW: WSHT 3.1, 3.2, 3.3 Unit Mid-Term Test Thursday

51 Advanced Algebra HW: WSHT 3.1, 3.2, 3.3 Unit Mid-Term Test Thursday
Slope DUDE! +, -, 0 and UNDEF Slopes Slope RAP! Systems of Linear Equations Solving with GRAPHS, TABLES and ALGEBRA

52 Advanced Algebra X Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will solve systems of equations using GRAPHING, TABLES and ALGEBRAIC METHOD Graph the pair of equations on the SAME grid on GRAPH PAPER: y = 9x – 8 y = 5x + 4 NOTES CW: Pg. 154/ #1-5, 7 HW: WSHT 3.1, 3.2, 3.3

53 Students will WRITE, EVALUATE and SOLVE systems of linear equations.
Algebra II HW: WSHT 3.1, 3.2, 3.3 Unit Mid-Term Test Thursday Copy the CLASS OBJECTIVE: Students will WRITE, EVALUATE and SOLVE systems of linear equations. Stella and Sophie want to earn extra money. Stella babysits for $8 an hour. Sophie started a gardening business where she earns $18 per hour, but she had to spend $200 for tools and materials. Write an equation for each girl. Find how much each would earn for 6 hours, 15 hours and 30 hours of work. How many hours would each girl have to work to earn $200? $500? When will the girls earn the same amount of money?

54 Advanced Algebra X HW: WSHT 3.1, 3.2, 3.3 Mid Term QUIZ TODAY
Copy the Class Objective in the CW Section of your binder: Students will solve SYSTEMS of EQUATIONS using GRAPHING and ALGEBRAIC METHODS and CHECKING solutions. y = 9x – (2x + 7) = y y = 5x (4x – 3) = y y = 9x x – 24 = y y = (3x – 8) + 6x y = 3(2x – 8 + 3x)

55 Advanced Algebra X Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will Solve Systems of linear equations using Algebraic methods of ‘y=‘, SUBSTITUTION or ELIMINATION NOTES Solve the following systems of equations, explaining what method you choose and why, show ALL work: y = 5x y = 9x – x – 2y = 18 2x – 2y = y = 18x x + y = -21

56 Advanced Algebra HW: Solving Systems ‘Ghost’ HW Quiz WEDNESDAY
CW: Water Conservation

57 Advanced Algebra X Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will SOLVE systems of linear equations using ALGEBRAIC METHODS and GRAPHING CW: Solve 10 – With your partner, solve the equations at each of the 10 stations, showing ALL work and ALL graphs on GRAPH paper. Be sure to CHECK your answers in BOTH equations. 1 Paper per pair. HW QUIZ WEDNESDAY Project #1 ‘Catering Conundrum’ Due Friday Oct. 21 – NO LATE PROJECTS ACCEPTED Follow the Project Write Up Format

58 Advanced Algebra X HW : Project #1 ‘Catering Conundrum’
Due Friday October 21 – NO LATE PROJECTS Follow the Project Write Up Format Solving larger systems: 5x – 2y + 3z = -5 9x + 9y + 9z = 72 x – y – z = -2 UNIT 3 TEST Thursday Oct. 20

59 Advanced Algebra X HW : Project #1 ‘Catering Conundrum’
Due Friday October 21 – NO LATE PROJECTS Follow the Project Write Up Format Solving Larger Systems: 1. 3x – 9y + 2z = x + y = x – 3y + 4z = 34 2x + 2y - 2z = y + z = x + 6y – z = -17 9x – 8y = x + z = x + 7y – 4z = -32 UNIT TEST #3 Thursday Oct. 20

60 Algebra II Sophie and Stella get lunch for their co-workers at Hot Diggity Dogs every Friday. Last week, Sophie bought 8 hot dogs and 5 bags of chips and spent $ Stella bought 4 hot dogs, 2 bags of chips and spent $ How much is each HOT DOG and BAG of CHIPS? Bridgit has a collection of 48 marbles, RED, YELLOW and GREEN. She has three times as many YELLOW marbles as RED, and her number of GREEN marbles is equal to the RED and YELLOW combined. How many of each color does she have?

61 Advanced Algebra HW : Project #1 ‘Catering Conundrum’
Due Friday October 21 – NO LATE PROJECTS Follow the Project Write Up Format COPY the CLASS OBJECTIVE in the CW Section of your binder: Students will WRITE systems of equations from situations and SOLVE the systems using ALGEBRAIC METHODS, and TECHNOLOGY. Students will SUMMARIZE their solutions in context.

62 Advanced Algebra X Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will WRITE, GRAPH and SOLVE Systems of Linear INEQUALTIES and DEFINE a FEASIBLE REGION y > 5x – y < -2x + 6 Complete the table for the inequalities: HW : Project #1 ‘Catering Conundrum’ Due Friday October 21 – NO LATE PROJECTS Follow the Project Write Up Format x -5 -3 -1 1 3 5 y > 5x-4 y < -2x + 6

63 Advanced Algebra The junior class sells ice cream sundaes and root beer floats to raise money for the local animal shelter. Each root beer float uses 8 oz. of soda and 4 oz. of ice cream. Each sundae uses 6 oz. of ice cream. They have 640 oz. of soda and 480 oz. of ice cream.

64 Advanced Algebra X HW : Project #1 ‘Catering Conundrum’
Due Friday October 21 – NO LATE PROJECTS Follow the Project Write Up Format Unit 3 Test Friday 10/21 Copy the Class Objective in the CW Section of your binder: Students will WRITE and SOLVE Systems of Linear INEQUALITIES CW: Linear Inequalities Picturing Pictures, Healthy Animals

65 Advanced Algebra II DUE: Project #1 ‘Catering Conundrum’
Chapter 3 Unit Test CW Check: RBeer Floats, Healthy Animals

66 Scholarship Opportunity
PSAT  - National Merit Scholarship Qualifying Test                                     Take the PSAT at TJ Date: Wednesday, October 14, 2015  Time: 7:30am – 11:00am      Location: 111    Cost: $20.00 paid to treasurer   Day of the test please bring: School ID, Three  #2 Pencils, and a Calculator. 

67 Advanced Algebra HW Quiz TODAY Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will use the POINT/SLOPE linear equation to write an equation for the line of best fit and use the equation to EVALUATE and SOLVE contextual problems. Finish CW: Whales #9 – Weight = 7250 lbs. Use EQN and Graph

68 Students will EXPLAIN the CONTEXTUAL meaning of their slope.
Advanced Algebra X HW DUE: The Rules of Algebra Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will calculate SLOPE from Tables and Graphs and WRITE Linear equations using the SLOPE. Students will EXPLAIN the CONTEXTUAL meaning of their slope. CW: Pg. 125/ #7-12 HW: WSHT - The Rules of Algebra HW: Prac. 31,16 Working With Equations HW: WSHT Practice 30, 32 HW Quiz FRIDAY

69 Advanced Algebra X EXIT Slip #2 CW: Slopes and Intercepts Wsheet
Test Correction Guidelines

70 Advanced Algebra X CW: Slopes and Intercepts Wsheet
Point/Slope Equations HW: Reason and Apply Wsheet Q# 1, 10-12, 2-7 Due Wednesday

71 Advanced Algebra X CW: RQ #4
Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will DEFINE and WRITE EQUATIONS for PARALLEL and PERPENDICULAR LINES CW: Table Equations – Using your table’s information, write the original equations, and an equation PARALLEL to and an equation PERPENDICULAR to your original equation in SLOPE/INTERCEPT form HW: Parallel and Perpendicular due WEDNESDAY

72 Advanced Algebra X SAT PREP #2
Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will ANALYZE and INTERPRET graphs of different SITUATIONS, FUNCTIONS and EQUATIONS Pg. 174/ Investigation: Graph a Story; Pg. 176/ #1-6 HW: WSHT #7-13; Due WEDNESDAY

73 Advanced Algebra II HW: WSHT #7-13 School Perception Survey – Lab 121
SAT Prep #1

74 Advanced Algebra II HW: WSHT #7-13 - HW Quiz Tuesday 11/1
Students will ANALYZE and INTERPRET graphs of SITUATIONS, DEFINING DOMAIN, RANGE and (x,y) values in context of the situation SKETCH a graph for the following situations: A jogger runs up a hill, rests for 10 minutes on top of the hill then walks back down Stella has $50 she hid under her mattress for a month The temperature started at freezing, rose quickly to 780, stayed at that temperature through mid-day, then dropped steadily to 500

75 Advanced Algebra X Students will ANALYZE and INTERPRET graphs of SITUATIONS, DEFINING DOMAIN, RANGE and (x,y) values in context of the situation HW: WSHT #7-13; Q# 13 NOTES HW Quiz TUESDAY CW: The Bicycle Trip

76 Algebra II NEW SEATS! Find your’s….
Check grades and missing work on your phone Chapter 3 TEST CORRECTIONS NOTES – Functions HW: WKSHT 4.2, 4.3

77 Advanced Algebra X NEW SEATS!! HW: WKSHT 4.2, 4.3 QUIZ Thursday
Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will DEFINE and IDENTIFY equations as FUNCTIONS and use FUNCTION NOTATION to WRITE, SOLVE and EVALUATE functions NOTES CW: Pg. 180/ Investigation: 2B or NOT 2B CW: Pg. 181/ #1-3, 5-10

78 Functions EXIT f(x) = 3x2 – 15 Find: f(-4) 2. f(8) ‘x’ when f(x) = -12
HW: WKSHT 4.2, 4.3 QUIZ Thursday

79 Algebra II Copy the CLASS OBJECTIVE in the CW Section of your binder:
Students will use graphs to IDENTIFY PARENT FUNCTIONS, WRITE DOMAIN and RANGE using INTERVAL NOTATION and ANALYZE graphs for ‘x’ and f(x) values. CW: Partner Task – Functions With your partner, complete the following for all 4 GRAPHS: Identify the PARENT FUNCTION for the graph shown Describe the difference in the graph shown to the graph of the parent function (Up, Down, Right, Left, Reflected….) Write the DOMAIN and the RANGE using INTERVAL NOTATION Answer the questions indicated on each graph explaining/showing how you got your answer

80 Alg. II Sketch a graph with the given DOMAIN and RANGE:
D: All REAL numbers; R: f(x)>4 D: x<0; R: f(x)>0 D: All REAL numbers; R: All REAL Numbers

81 Advanced Algebra X HW: WKSHT 4.1, 4.2 Pg. 181/ #1-3, 5-10
Given the function f(x) = 9x2 – 7, find the following: f(-4) 2. ‘x’ when f(x) = 2 CW: Graphical Analysis EXIT Quiz Make Up Work, Test Corrections – 2nd 6-Weeks – Any Assn. dated after Oct. 3 Due THURSDAY OCTOBER 29, 4 PM HW: WSHT 4.3, 4.4 Due TUESDAY

82 Advanced Algebra II HW: WKSHT 4.2, 4.3
Copy the class objective in the CW Section of your binder: Students will GRAPH translations of functions, DESCRIBE the translations and WRITE equations for the translations. Parent Function: f(x) = x2 f(x) = x2+ 4 f(x) = x2- 6 f(x) = (x-2)2 f(x) = (x+7)2 Notes

83 Advanced Algebra X Copy the Class Objective in the CW section of your binder: Students will be able to DESCRIBE TRANSLATIONS, TRANSFORMATIONS of REFLECTIONS and WRITE functions for the situations CW: Pg. 195/ Make My Graph CW: Pg. 197/ #7, 8, 10 f(x)= CW: Pg. 204/ #1-7, 9 HW: WKSHT 4.5, 4.6 Mid Unit Quiz Tuesday

84 Advanced Algebra X HW Due: WKSHT 4.2, 4.3
Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will KNOW HOW TO DESCRIBE and WRITE equations for translated and transformed functions. Parent Functions Translations and Transformations CW: Pg. 195/ Make My Graph CW: Pg. 197/ #7, 8, 10 NOTES HW: WKSHT 4.5, 4.6 Mid Unit Quiz Tuesday Unit Test Wednesday Nov. 29

85 Advanced Algebra Homework will now be COLLECTED and GRADED
Project #2 – Animation and Motion Unit 4 TEST - FRIDAY

86 Advanced Algebra Mid Unit Quiz CW: Reason and Apply
Copy the class objective in the CW section of your binder: Students will be able to CALCULATE scalar multipliers for functions and WRITE transformation functions for graphs. Stretches and Shrinks –Scalar Multipliers Finding ‘a’ Rates of Change; Intervals HW: WKSHT 4.5, 4.6 DUE FRIDAY Unit 4 TEST Friday

87 Scalar Multipliers Find the SCALAR MULTIPLIER for each f(x) shown:

88 Advanced Algebra HW: WKSHT 4.2, 4.3 DUE FRIDAY
Write and equation for the function shown Using that function, TRANSLATE the function 5 units LEFT and 4 units DOWN and WRITE the equation

89 Use the graph to answer the following questions:
Is the graph a FUNCTION? How do you know? Find f(-3) Find ‘x’ when f(x) = -2 (Is there more than one answer?) Find all the ZEROS for the function On what INTERVALS is the graph INCREASING? DECREASING Find the AVERAGE RATE of INCREASE on the interval (-4< x <1) HW: WKSHT 4.2, 4.3 DUE FRIDAY

90 Advanced Algebra Happy Thanksgiving! HW DUE: WKSHT 4.5, 4.6
Unit 4 TEST TODAY Project #2 – Animation and Motion – Due December 2 Happy Thanksgiving!

91 Advanced Algebra Project #2 – Animation and Motion – Due December 2 – NO LATE PROJECTS ACCEPTED Rational Functions and Circles Parent Function FACTORING & SIMPLIFYING polynomials Function Continuity HOLES and ASYMPTOTES

92 Factoring 3 𝑥 2 −18 −2𝑥𝑦+14 𝑥 2 𝑦 3 −28𝑦 −16 𝑥 2 𝑦+12𝑥 𝑦 2 −48𝑥𝑦
Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will FACTOR and SIMPLIFY equations 1. 2. 3. 4. 3 𝑥 2 −18 −2𝑥𝑦+14 𝑥 2 𝑦 3 −28𝑦 −16 𝑥 2 𝑦+12𝑥 𝑦 2 −48𝑥𝑦 𝑥 2 −13𝑥−90

93 Advanced Algebra Project #2 – Animation and Motion – Due December 2 – NO LATE PROJECTS ACCEPTED Rational Functions Asymptotes and Holes Domain and Range Restrictions Students will define DOMAIN and RANGE for RATIONAL FUNCTIONS WSHT Lesson 9.6, Practice 72 Quiz FRIDAY HW: Simplify Practice 72

94 Advanced Algebra Project #2 – Animation and Motion – Due December 2
Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will define DOMAIN and RANGE for RATIONAL FUNCTIONS Using your calculator, state the VERTICAL and HORIZONTAL ASYMPTOTES and the HOLES for each function. Define the DOMAIN and the RANGE for each function:

95 Advanced Algebra Project #2 Quiz FRIDAY – Rational Functions
Animation and Motion – Due FRIDAY - December 2 NO LATE PROJECTS ACCEPTED Quiz FRIDAY – Rational Functions Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will SKETCH RATIONAL FUNCTIONS, identifying the ASYMPTOTES and HOLES for the functions CW: WSHT Rational Functions and Circles

96 Advanced Algebra II Project Function Animation and Motion
Partner Quiz – Rational Functions Circles Parent Function Translations and Radius CW/HW: WSHT Rational Functions and Circles DUE Tuesday 12/6 Final Exam Schedule on WIKI Page

97 Advanced Algebra HW: Simplifying and Operations with Rational Functions WSHT – Due MONDAY 12/12 Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will FACTOR and SIMPLIFY Rational Expressions Graph each function, define the DOMAIN and the RANGE for each. Factor each expression completely and simplify to lowest terms:

98 Algebra II HW: WKSHT Practice 72-74 DUE TUESDAY Friday
Grade and BINDER CHECK Final Exam Project – Due on FINAL EXAM DAY NO LATE PROJECTS ACCEPTED Final Exam Schedule on WIKI PAGE

99 Advanced Algebra HW: WSHT Practice 72, 74 DUE Wednesday
Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will ADD and SUBTRACT Rational Functions, and define DOMAIN and RANGE for the functions. Add:

100 Advanced Algebra HW: WSHT Practice 72, 74 DUE Wednesday
Students will ADD and SUBTRACT Rational Functions, and define DOMAIN and RANGE for the functions. Finding common denominators for RATIONAL FUNCTIONS Find the common denominator for each function, define the DOMAIN AND RANGE, perform the indicated operations and simplify:

101 Advanced Algebra HW: WSHT Practice 72, 74 DUE Wednesday
Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will MULTIPLY and DIVIDE Rational Functions, defining DOMAIN and RANGE for the products or quotients.

102 Advanced Algebra Graphing RATIONAL EXPRESSIONS
Review the CLASS OBJECTIVE in the CW Section of your binder: Students will graph RATIONAL FUNCTIONS, labeling ASYMPTOTES and HOLES for the function Using your group’s functions, complete the following Simplify the functions State the HOLES and ASYMPTOTES for the functions Sketch a GRAPH of the function, showing the HOLES and ASYMPTOTES Multiplying and Dividing Rational Expressions Quiz FRIDAY

103 Advanced Algebra HW DUE: WSHT 9.7, 9.8 Q. #1 ; WSHT 9.7/#3-5
CW: ‘TEST’ Re-Do HW: 9.8/ #2, 3 (+,- only)

104

105 Advanced Algebra HW: WSHT 9.7, 9.8 Q. #1
Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will MULTIPLY and DIVIDE Rational Functions, defining DOMAIN and RANGE for the products or quotients.

106 Advanced Algebra HW DUE: WKSHT 9.7, 9.8 Completed Unit Test TUESDAY
CW: Practice 73 Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will SOLVE Rational Functions, defining restrictions on the DOMAIN and RANGE CW: Practice 74 HW: Finish Practice 73 Due MONDAY

107 Advanced Algebra Semester 1 Project DUE at Final
Students will SOLVE Rational Functions, defining restrictions on the DOMAIN and RANGE HW: Practice 72, 74 Due TUESDAY

108 Advanced Algebra Semester 1 Project DUE at Final Review
Chapter 1 – Pg. 71 Chapter 3 – Pg. 164 Chapter 4 – Pg. 233

109 Advanced Algebra HW DUE: Practice 72, 74
Semester 1 Project DUE at Final Find the VERTICAL ASYMPTOTES and HOLES and the HORIZONTAL ASYMPTOTES for the functions: Perform the indicated operations, showing all steps: Solve each equation, showing all work:

110 Advanced Algebra HW: WKSHT 4.2, 4.3 DUE FRIDAY Unit 4 TEST – Friday Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will be able to DESCRIBE TRANSLATIONS, TRANSFORMATIONS and REFLECTIONS and SKETCH graphs Describe the PARENT FUNCTION and the Translation/Transformation for each function: f(x) = -2(x – 4) f(x) = .4|x – 1|+5 f(x) = -.01(x + 2)2 - 3 𝒇(𝒙)= −𝒙+𝟒 −𝟖

111 Advanced Algebra ODD vs. EVEN Functions Translations – Last Look
Parent Functions – Odd or Even? Translations – Last Look TEST Chapter 4 Thursday

112 Advanced Algebra HW DUE: WKSHT 4.3, 4.4
Make Up Work, Test Corrections – 2nd 6-Weeks – Any Assn. dated after Oct. 3 Due THURSDAY OCTOBER 29, 4 PM Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will be able to DEFINE the values for DOMAIN and RANGE and WRITE those values using INTERVAL NOTATION. Domain and Range using Interval Notation Graph the functions on your calculator: f(x) = |x – 3| f(x) = CW: Function Analysis

113 Advanced Algebra X You need: Chapter 3 TEST Binder
Test Correction Guidelines Paper, pencil, calculator

114 Advanced Algebra 5 Food donations = 1 FREE HW! 1 x per student
Canned goods, dry goods (rice, beans, oatmeal etc.) 1 x per student

115 Advanced Algebra HW: WSHT Reason and Apply RQ #9 Rational Functions
Project #2 – FUNCTIONS Due WEDNESDAY November 11 Unit Test THURSDAY

116 Advanced Algebra X Project #2 – FUNCTIONS
Due WEDNESDAY November 11 Make Up Work for 2nd 6-weeks Due THURSDAY 4 pm – ONLY Assignments dated after OCTOBER 29 Rational Function Partner Project

117 Advanced Algebra Using your original function: Define the TRANSLATION
Graph the function Translate your original function 3 units RIGHT and 1 unit UP, graph the NEW function Write the equation for the NEW translated function Write the DOMAIN and the RANGE for BOTH functions

118 Where f(x) can be ANY family of Functions
Advanced Algebra X Project #2 – FUNCTIONS Due WEDNESDAY November 11 Make Up Work for 2nd 6-weeks Due THURSDAY 4 pm – ONLY Assignments dated after OCTOBER 29 The TRANSLATION/TRANSFORMATION function f(x) = a(x-h)+k Where f(x) can be ANY family of Functions

119 AAX Describe the TRANSLATION/TRANSFORMATION for each function
SKETCH each function f(x) = -.25|x-5|+6 2. f(x) =

120 Advanced Algebra Data and Statistics
Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will be able to CALCULATE the MEASURES OF CENTER, RANGE and the 5# SUMMARY for data sets Partner Height Measure your height and record on class data Box Plots and Histograms CW: Pg. 81/ #1-5 HW: Backpack Data – Due Monday

121 Advanced Algebra X HW DUE: Backpack Data
HW: WSHT 2.1, 2.2 Due WEDNESDAY Retention TEST #2 TODAY Copy the Class Objective in the CW Section of your binder: Students will calculate statistics for data they collect and draw STATISTICAL GRAPHS for the data Class Height Data – Box Plot and Histogram CW: Pg. 81/ #1-5

122 Advanced Algebra X Retention Test #2 TODAY WSHT 2.1, 2.2 Due Friday
Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will calculate the STANDARD DEVIATION for data sets and CONSTRUCT Normal Distributions for data. CW: Pg. 90/ #1-7 Spread and Standard Deviation Normal Distributions

123 Advanced Algebra X HW DUE: WSHT 2.1, 2.2
Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will calculate MEAN and STANDARD DEVIATION for data sets, CONSTRUCT and ANALYZE NORMAL DISTRIBUTIONS for the data sets CW: Pg. 91/ #6, 8

124 Advanced Algebra X Copy the Class Objective in the CW Section of your binder: Students will calculate MEAN and STANDARD DEVIATION for data sets, CONSTRUCT and ANALYZE NORMAL DISTRIBUTIONS for the data sets The data below shows the number of shoppers at a store over the Thanksgiving week: {74, 107, 86, 23, 312, 416, 310} 1. Use your calculator to find the , 2. Construct a NORMAL CURVE for the data set

125 Advanced Algebra X COPY the Class Objective in the CW Section of your binder: Students will CONSTRUCT Normal Distributions from statistics, and CALCULATE ‘z’-scores and confidence intervals for data sets The mean ( )weight of a newborn baby is lbs, with a standard deviation (Sx) of .925 lbs. Construct a NORMAL DISTRIBUTION using the statistics Find the ‘z’-score for a baby that weighs 8 lbs. and for a baby that weighs 5 lbs. Explain what these values mean in terms of baby birth weight.

126 Advanced Algebra X HW DUE: Tribbles
Copy the CLASS OBJECTIVE in the CW section f your binder: Students will CALCULATE Confidence Intervals for data using the NORMAL DISTRIBUTION and ‘z’ scores. Confidence Intervals - Pg. 748 The mean weight (μ) of a penny is 2.5 grams with a standard deviation ( )of .025 grams Draw the NORMAL DISTRIBUTION for the penny weight State the 95% confidence interval and explain what this means in terms of penny weight Calculate the 90% CI and the 99% CI and explain what these values mean in terms of penny weight HW: Practice Your Skills Due FRIDAY

127 Advanced Algebra X HW: Practice Your Skills Due FRIDAY
Table Task – Group Statistics Each INDIVIDUAL will have ALL work in the CW section of your binder Using your group’s data set, complete the following: Find the MEAN, MED, MODE, Range, 5# Summary, IQR, Standard Deviation for your data set Construct a BOX PLOT, HISTOGRAM and a NORMAL curve for your data set Identify and verify any OUTLIERS for your data Find the 90% Confidence interval for your data set and shade this area on your Normal Curve

128 Advanced Algebra HW DUE: Practice Your Skills
Make Up Work, Test Corrections  End Semester 1 – For any Assn. dated after Nov. 13 –Due THURSDAY December 10, 4 pm Collecting Data Samples Observations vs. Experiments vs. Studies Bias in Sampling Final Project Data and Statistics Test TUESDAY

129 Course Binders Syllabus Project Write-Up/ Test Correct Guidelines
Notes Recursion, Linear Equations/Systems, Functions, Translations Transformations, STATS CW Objectives and CW TQA In order of topic Projects Basic Student Budget, Functions

130 Advanced Algebra Data and Statistics TEST Today
Make Up Work, Test Corrections  End Semester 1 – For any Assn. dated after Nov. 13 –Due THURSDAY December 10, 4 pm Semester Project - Concept Folder Due at beginning of Final Exam NO LATE PROJECTS ACCEPTED Rules of Exponents

131 Time to STUDY! Make Up Work, Test Corrections  End Semester 1 – For any Assn. dated after Nov. 13 –Due THURSDAY December 10, 4 pm Semester Project - Concept Folder Due at beginning of Final Exam NO LATE PROJECTS ACCEPTED ORGANIZE Yourself Notes in order Objectives and CW Tests and Quizzes

132 Advanced Algebra II un = un-1 – 11; u0 = 38 un = un-1 * 1.5; u0 = 6
Defining Recursion Recursion: The REPEATED application of a procedure or definition. A mathematical process where each term is generated by REPEATING the same mathematical operation(s). Use the Recursive formulas to find the SEQUENCE of the next 5 terms: un = un-1 – 11; u0 = 38 un = un-1 * 1.5; u0 = 6 un = un-1 * ; u0 = 1200

133 Advanced Algebra Stella’s Garden Center sells Poinsettia flowers during the holiday season. Stella starts the season October 17th with 500 flowers. She sells 60% of the flowers each week, and adds an additional 24 plants to the inventory each week. Find the number of plants she has on December 1st. How many plants will she have left on December 24th?

134 Advanced Algebra X Make Up Work, Test Corrections due THURSDAY 4 pm
HW DUE: PARALLEL and PERPENDICULAR Make Up Work, Test Corrections due THURSDAY 4 pm Copy the Class Objective in the CW Section of your binder: Students will solve SYSTEMS of EQUATIONS using ALGEBRAIC METHODS and CHECKING solutions y = 9x – (2x + 7) = y y = 5x (4x – 3) = y y = 9x x – 2y = 6 5x – 3y = x + 3y = 39

135 Advanced Algebra Given the function f(x) = 9x2 – 7, find the following: f(-4) 2. ‘x’ when f(x) = 18 Give the PARENT FUNCTION and describe the TRANSLATION and TRANSFOMATION of the function: f(x) = -.25(-x+4)2-7

136 Advanced Algebra AP Stats Final Exam 3-4 People per table
Phones in bin Happy Holidays! AP Stats

137 Algebra II Find your NEW assigned seat Be reminded:
NO FOOD OR DRINK IN THE CLASSROOMS NO ELECTRONIC DEVICES UNLESS USED IN CLASSROOM INSTRUCTION STUDENT ID VISIBLE AT ALL TIMES

138 START HERE FOR REVIEW Summer HW on WIKI

139 Advanced Algebra Course Binder
S1 Notes, Tests Geometric Recursion to Exponential Function POWER Functions vs. Exponential Functions Rules of Exponents and Radicals Notes HW: WSHT Practice With Exponents DUE FRIDAY

140 496x8y6z4 Advanced Algebra HW: WSHT Practice With Exponents DUE FRIDAY
SAT Prep Quiz #1 – Friday Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will use the RULES of EXPONENTS to REWRITE equivalent Expressions 496x8y6z4

141 Advanced Algebra HW: WSHT Practice With Exponents DUE FRIDAY
SAT Prep Quiz #1 – Friday CW: Table Task – Rules of Exponents Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will use the RULES of EXPONENTS to REWRITE equivalent Expressions

142 Algebra II CW: Table Task – Rules of Exponents
Each PARTNER has ALL work in CW Section of Binder Each GROUP completes ONE poster Using your table’s Exponent Expression, rewrite an EQUIVALENT expression using each of the RULES OF EXPONENTS: Product Rule, Quotient Rule, Group Power Rule, Power to Power Rule, Negative Exponent Rule HW: WSHT Practice With Exponents DUE FRIDAY SAT Prep Quiz #1 - Friday

143 Advanced Algebra SAT Prep Quiz #1 HW DUE: WSHT Practice With Exponents
Copy the Class Objective in the CW Section of your binder: Students will use the RULES of EXPONENTS and RADICALS to SIMPLIFY and PROVE equivalent Expressions Using the RULES of EXPONENETS and RADICALS, prove that these two expressions are in fact EQUAL: Write each in simplified radical form: HW: Beetles and Snakes – Due TUESDAY

144 Advanced Algebra HW: Beetles and Snakes – Due WEDNESDAY
Quiz – Rules of Exponents - THURSDAY Copy the Class Objective in the CW Section of your binder: Students will use the RULES of EXPONENTS and RADICALS to SIMPLIFY and PROVE equivalent Expressions Using the RULES of EXPONENETS and RADICALS, prove that these two expressions are in fact EQUAL: Write each in simplified radical form:

145 Advanced Algebra Simplify the following expressions using the RULES OF EXPONENTS. Explain ALL the rules you used to simplify: HW: Beetles and Snakes – Due WEDNESDAY Quiz – Rules of Exponents - THURSDAY 𝑥𝑥3 𝑦 − 𝑥 −2 𝑦 4 5 𝑦 2 𝑦 5 − 𝑥 − 𝑥 𝑥2𝑥−4 2𝑥 𝑦 −3 −3

146 Algebra II Chapter 5 QUIZ Today HW DUE: Beetles and Snakes
Solving POWER Functions

147 Advanced Algebra 5 𝑥 3 4 +3=68 3 𝑥 6 +22=12,310 3 3 𝑥 −15=18
Copy the CLASS OBJECTIVE: Student will SOLVE POWER Equations using the rules of Radicals and Exponents Solving Equations with Rational Exponents and Radicals UNDO order of Operations Using ROOT or RECIPROCALS to solve powers Solve each of the following: 2. 4. HW: WSHT 5.3, 5.4 Due THURSDAY 5 𝑥 =68 3 3 𝑥 −15=18 3 𝑥 6 +22=12,310

148 Advanced Algebra HW: WSHT 5.3, 5.4 Due THURSDAY
Copy the CLASS OBJECTIVE: Student will SOLVE POWER Equations using the rules of Radicals and Exponents Solve each equation, showing ALL work: 90 = 2x2 −6 𝑥+6 =−90 𝑥−8 𝑥−4 = 𝑥 2 −6𝑥+8 𝑥 2 −15𝑥−54 −4𝑥 4 +36=−288 𝟓 𝒙–𝟖 𝟏/𝟑 + 𝟒𝟎 𝟓 =𝟏𝟏

149 Advanced Algebra Using the GEOMETRIC RECURSION formulas, write an EXPONENTIAL function: 1. 2. Describe each as EXPONENTIAL GROWTH or DECAY and explain how you know. HW: WSHT 5.3, 5.4 Due THUSDAY 𝑢 0 = 𝑢 𝑛 = 𝑢 𝑛−1 •.875 𝑢 1 =15 𝑢 𝑛 = 𝑢 𝑛−1 •1.325

150 Advanced Algebra Exponential GROWTH and DECAY
Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will EXPLORE exponential GROWTH and DECAY for situations. Students will be able to WRITE equations for the situations and calculate values using their equation. NOTES HW: WSHT 5.3, 5.4 Due THURSDAY

151 Advanced Algebra HW: WSHT 5.3, 5.4 Due TUESDAY
Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will write EXPONENTIAL EQUATIONS for situations and CALCULATE values and SOLVE for variables using those equations. The Broncos won their third Superbowl in 2016! The face value of an NFL Superbowl Ticket in 1977 was $55. In 1998, the price of a ticket rose to $275. Write an equation for the Superbowl ticket prices. Use: Define what ‘r’ is for the Super Bowl ticket prices. How much should a ticket cost for this year’s Superbowl? What year will the price of a ticket go over $1500?

152 Advanced Algebra Define each situation as EXPONENTIAL GROWTH or DECAY and write an EQUATION for each situation: A population of hummingbirds declined from 582 to 316 in 5 years A 1968 Shelby Mustang sold for $13,895 in 2010, and $15,520 in 2013 The table shows a history of NFL Super Bowl ticket costs: HW: Beetles and Snakes Due THURSDAY Year SB # 1967/ SB #1 1984/ SB #18 1994/ SB #28 2003/ SB #37 Cost $ $14 $60 $175 $400

153 Exponential GROWTH/DECAY
HW DUE: WSHT 5.3, 5.4 Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will WRITE an EXPONENTIAL function for situations and use the function to calculate values. Stella has a coin collection worth $880 that appreciates in value by 4.5% each year. A population of 1220 hummingbirds is decreasing by 12.5% every year. Project: Inflation Deflation Due Monday Feb. 6

154 Use the equations to find:
Project: Inflation Deflation Due Monday Feb. 6 Value of the coin collection in 10 years Time it takes collection to be worth $1200 Number of hummingbirds in 7 years Time it takes for population to be below 500

155 Advanced Algebra Project: Inflation Deflation Due Monday Feb. 6
Computer Lab – SAT Practice on Khan Academy

156 Algebra II – POP Quiz – 15 Minutes
Write an exponential function for each: 1. A population of 892 bats decreases by 7.25% each year. Find the number of bats in 8 years. SOLVE, showing all steps: 2. 𝒖 𝒐 =𝟑𝟐 𝒖 𝒏 = 𝒖 𝒏−𝟏 (.𝟗𝟐𝟓 32 4 𝑥 −48=112 −8 27 𝑥 =−165,888

157 Advanced Algebra HW DUE: WSHT 5.3, 5.4 Exponential GROWTH and DECAY
A population of 3,200 rainbow trout were estimated in a 10 mile section of the Las Animas River in In 2015, biologists estimated 2,510 rainbow trout in that same river section. Find the DECAY RATE and the DECAY FACTOR if the population is decaying EXPONENTIALLY Write an EXPONENTIAL equation for the trout population. How many fish will we expect in 2017? Use your equation to answer. When will the population fall below 1000 fish? Use your equation to answer.

158 Students will use LOGARITHMS to SIMPLIFY and SOLVE equations
Advanced Algebra X Project: Inflation Deflation Due Monday 2/6 Copy the CLASS OBJECTIVE in the CW Section of your Binder: Students will use LOGARITHMS to SIMPLIFY and SOLVE equations Logarithms Exponential to LOG form Rules of LOGS Using LOGS to solve y = a(b)x for ‘x’ NOTES HW: WSHT 5.6, 5.7 Due Tuesday Unit 5 TEST Tuesday

159 Advanced Algebra Project: Inflation Deflation Due Monday 2/6
HW: WSHT 5.6, 5.7 Due Tuesday Unit 5 TEST Tuesday Copy the CLASS OBEJCTIVE in the CW Section of your binder: Students will WRITE Exponential Functions in LOG Form and SOLVE equations using Logarithms Write in LOG form: Write in EXPONENTIAL 1880=1.25x form: LOG3140.3=x LOGS on the CALCULATOR

160 Advanced Algebra Project: Inflation Deflation Due Monday 2/6
HW: WSHT 5.5, 5.6 Due TUESDAY 2/7 Use your calculator to find the following: LOG LOG 4825 LOG LOG 3.875 5. Ln Ln

161 Solving with LOGS A population of 892 bats decreases by 7.25% each year. When will the bat population fall below 500? A population of 3,200 rainbow trout were estimated in a 10 mile section of the Las Animas River in In 2015, biologists estimated 2,510 rainbow trout in that same river section. When will the fish population fall below 1500?

162 Advanced Algebra Project: Inflation Deflation Monday 2/6
Be sure to use the PROJECT FORMAT WRITE UP to complete your project HW: 5.6, 5.7 Due Tuesday 2/7 UNIT 5 TEST TUESDAY Copy the Class Objective in the CW Section of your binder: Students will use LOGARITHMS to SIMPLIFY and SOLVE equations Use your TURTLE information to find the following: Write an exponential equation for the turtles using your info P = P0(1 + r)t Is your population GROWTH or DECAY? Explain 2 WAYS Find the number of turtles in 5 YEARS AGO AND 8 years FROM NOW, showing ALL work Find when the population is HALF(-)/DOUBLE (+) the number of turtles, showing ALL work. Inverse Functions

163 Students will WRITE and EVALUATE Inverse Functions
Algebra II Project: Inflation Deflation Monday 2/6 Be sure to use the PROJECT FORMAT WRITE UP to complete your project HW: 5.6, 5.7 Due Tuesday 2/7 UNIT 5 TEST TUESDAY Finish TURTLES Finding Inverses Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will WRITE and EVALUATE Inverse Functions

164 Students will WRITE Inverse functions using ALGEBRAIC methods
Finding Inverses Your TJ ID should be visible on your body at all times throughout the day Project DUE: Inflation Deflation HW: 5.6, 5.7 Due WEDNESDAY 2/7 UNIT 5 TEST WEDNESDAY Rules of Exponents (CW, Practice w/Exponents, 5.3, 5.4) Solving Power Equations (CW, 5.3, 5.4) Writing and Solving Exponential Equations (LOGS) (CW, Project, 5.6, 5.7) Inverse Functions (CW) Copy the CLASS OBJECTIVE in the CW section of your binder: Students will WRITE Inverse functions using ALGEBRAIC methods

165 Finding Inverses Copy the functions: 1. 2. 3. 3𝑥−5 4 9 =𝑓(𝑥)
3𝑥− =𝑓(𝑥) 7 8𝑥+4 5 =𝑦 −8 2𝑥− −19=𝑓(𝑥)

166 Algebra II Unit 5 TEST WEDNESDAY HW: 5.6, 5.7 Due WEDNESDAY
Simplify: Practice w/ Exponents/ #16, 5; WSHT 5.3/#2c, 2e; 5.4/ #2a, 2i, 3b Solve: WSHT 5.3/ #3d, 3h, 3i; 5.4/ #1e, 1i, 4c Write and Solve: Stella invested $2500 in a CD that has an APR of 3.45%, compounded annually. How much will her investment be worth in 10 years? When will her investment DOUBLE in value?

167 Advanced Algebra HW DUE: WSHT 5.6, 5.7 Chapter 5 TEST Today
Next Unit: Quadratics

168 Advanced Algebra Copy the CLASS OBJECTIVE:
Students will explore quadratic functions and graphs, identifying ROOTS and VERTEX Quadratic Functions A golf ball is hit off of a tee with the function: where ‘t’ is the time in seconds and h(t) is the height of the golf ball in feet: Complete the table for the golf ball height: Graph the table on GRAPH PAPER HW: WSHT: ‘To The Rescue” Due TMonday ‘t’ 1 2 3 4 5 h(t)

169 Advanced Algebra Quadratic Functions - NOTES
Find when the golf ball will be 80 feet in the air. When is the golf ball at it’s VERTEX? When does the golf ball hit the ground? Write the function in FACTORED form HW: WSHT: ‘To The Rescue” Due Monday

170 Algebra II Copy the CLASS OBJECTIVE in the CW Section of your binder:
Students will use GRAPHS, TABLES and FACTORING to find the ROOTS and the VERTEX of quadratic functions. Copy the problems. Graph each on your calculator and estimate the ROOTS and the VERTEX for each: x2 + 18x + 45 = 0 x2 – 19x = -34 x2 – 14x = 51 9x2 – 49

171 Advanced Algebra Calculators NOTES: Quadratic Functions
HW: WSHT: “To The Rescue” , “Diver” Due THURSDAY Copy the CLASS OBJECTIVE in the CW Section of your 3-ring binder: Students will SOLVE quadratic equations for the ROOTS and the VERTEX from STANDARD to FACTORED form

172 Advanced Algebra HW: WSHT: “To The Rescue” , “Diver”
Due THURSDAY Find the ROOTS, y-INTERCEPT and the VERTEX for each function Write each in FACTORED and VERTEX forms f(x) = 2x2 – 36x – 80 (Complete the Square) f(x) = x2 + 15x – 54 f(x) = 3x2 + 27x – 126 (Complete the Square) f(x) = 4x2 – 484

173 Advanced Algebra HW: WSHT: “To The Rescue” , “Diver”
Due THURSDAY Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will WRITE and SOLVE different forms of the QUADRATIC function to find SOLUTIONS and VERTEX for the functions. Copy the function and SOLVE for the ROOTS and the VERTEX using Completing the Square and Factoring: f(x) = 4x2 – 56x + 132 Using the Quadratic Formula

174 Algebra II Partner Task
1. Use FACTORING to solve for the ROOTS and VERTEX: f(x) = x2 + 8x – 65 Use COMPLETE the SQUARE to solve for the ROOTS and the VERTEX: f(x) = 5x2 + 30x – 135 Use the QUADRATIC FORMULA to solve for the ROOTS and the VERTEX: f(x) = 6x2 – 11x – 10

175 Advanced Algebra HW: WSHT: 7.5, 7.6 - Due THURSDAY QUIZ WEDNESDAY
CW: Quadratic TABLE TASK Choose 8 problems Column A using FACTORING to solve for ROOTS and MID-POINT for VERTEX Choose 8 problems Column B using COMPLETE THE SQUARE to solve for ROOTS and VERTEX Choose 8 problems Column C using QUADRATIC FORMULA and MIDPOINT to solve for ROOTS and VERTEX Find ALL 3 forms of the Quadratic Equation for ALL problems

176 Advanced Algebra HW: WSHT: 7.5, 7.6 - Due THURSDAY QUIZ WEDNESDAY
Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will use the QUADRATIC FORMULA to solve quadratic equations for REAL and IMAGINARY solutions Quadratic Formula

177 Advanced Algebra HW: 7.5, 7.6 Due Monday
Students will use the QUADRATIC FORMULA to solve quadratic equations for REAL and IMAGINARY solutions Imaginary Numbers – Solving Quadratics that do NOT cross the x-Axis Calculations with ‘i ’ Complex numbers

178 Advanced Algebra HW: 7.5, 7.6 Due Tuesday SAT PREP
Students will use the QUADRATIC FORMULA to solve quadratic equations for REAL and IMAGINARY solutions Solve for ‘x’:

179 Students will simplify expressions with IMAGINARY NUMBERS.
Advanced Algebra HW: 7.5, 7.6 Due Tuesday Unit Test WEDNESDAY Copy the objective: Students will simplify expressions with IMAGINARY NUMBERS. Calculations with IMAGINARY NUMBERS Copy the problems: (3 – 8i) + (17 + 2i) i(-9i + 7) 3. (4i – 9) (12i + 11) 4. (9 – 6i)(17 – 5i)

180 Algebra II HW DUE: 7.5, 7.6 Unit Test WEDNESDAY
Solve and write your solutions as an IMAGINARY or COMPLEX number: y = 4x2 + 11x y = x2 + 45 Find the COJUGATE of each and multiply by that value and simplify: -9i – 7i Simplify: 6i – i – (9 – 13i)(9 + 13i)

181 Algebra II HW DUE: 7.5, 7.6 Unit Test WEDNESDAY
Using your phone: Search, “How to find the roots of a polynomial” Using the information you found, solve: the following: y = x3 + 4x2 – 15x – 60 y = 3x3 + 12x2 – 15x – 27 y = 4x4 + 8x3 – 12x2 – 16x

182 Advanced Algebra HW DUE: 7.5, 7.6 Unit Test TODAY

183 Advanced Algebra SAT Prep FRIDAY HW DUE: “To The Rescue” , “Diver”
On a separate sheet of paper, show ALL work for Q. #8, 20, 28, 38 showing the ROOTS, VERTEX and a graph sketch Write the equations in VERTEX form and FACTORED form:

184 Advanced Algebra Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will solve quadratic functions for the ROOTS and the VERTEX by COMPLETING THE SQUARE Find the ROOTS and the VERTEX for each problem by COMPLETING the SQUARE:

185 Advanced Algebra HW DUE: WSHT 7.2, 7.3
Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will FACTOR and SOLVE Quadratic equations using COMPLETING the SQUARE and write the equations in various forms. Write the equations in VERTEX form and FACTORED form: CW: Pg. 382/ #5-9, 11 HW: WSHT 7.4, 7.5 Due WEDNESDAY Retention TEST Tuesday

186 Advanced Algebra So…How do we use all these methods? CW: Solve 4
What are the different methods we can use to SOLVE and FIND the VERTEX for Quadratic functions? (NOTES) HW: WSHT 7.2, 7.3, 7.4, 7.5 Due Friday

187 Advanced Algebra Unit 7 TEST PARTNER Today You need: WSHT 9.7, 9.8
WSHT Factoring Polynomials Course Binder

188 “What makes a GOOD student?”
Algebra II Course Choices Study Skills On a sheet of paper, answer the question: “What makes a GOOD student?” Polynomial and Rational Functions (Hi, again!) Factoring and Expanding Polynomials Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will Identify DEGREE of a polynomial and SIMPLIFY polynomials CW: TEXTBOOK Pg. 408/ #1-7 HW: FACTORING POLYNOMIALS – Due Thursday

189 Advanced Algebra 18 𝑥 5 𝑦 3 −6𝑥𝑦+9y 𝑥 2 −13𝑥−114 𝑥 2 −36
HW: FACTORING POLYNOMIALS – Due Thursday HW: Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will FACTOR/SIMPLIFY polynomials and IDENTIFY roots where possible. Factor each problem: 1. 2. 18 𝑥 5 𝑦 3 −6𝑥𝑦+9y 𝑥 2 −13𝑥−114 𝑥 2 −36

190 Algebra II HW: FACTORING POLYNOMIALS DIFFERENCE of SQUARES
SUM and DIFFERENCE of CUBES NOTES Simplifying RATIONAL FUNCTIONS

191 Algebra II HW: FACTORING POLYNOMIALS – Due MONDAY
Copy the CLASS OBJECTIVE: Students will WRITE functions for POLYNOMIALS using ROOTS of GRAPHS and ALGEBRA Group Table Task – Writing Functions for Polynomials

192 Algebra II Students will WRITE functions for POLYNOMIALS using the ROOTS of GRAPHS and ALGEBRA Using the 6 graphs at each station, complete the following: Identify the ROOTS of each polynomial function Use the ROOTS to write a FACTORED FORM of the polynomial function Estimate the y-INTERCEPT OR ONE additional point on the graph of the polynomial function SOLVE for any ‘a’ value to complete the polynomial function Determine the DEGREE (Power) of the polynomial HW: FACTORING POLYNOMIALS – Due MONDAY

193 Algebra II Complete your # Problems on one poster
HW: FACTORING POLYNOMIALS – Due MONDAY

194 Students will SIMPLIFY and EVALUATE Rational Functions
Algebra II HW DUE: FACTORING POLYNOMIALS QUIZ 7 WEDNESDAY Find your NEW ASSIGNED SEAT Chapter 6 QUIZ and Chapter 6 TEST Corrections Due WEDNESDAY OFFICE HOURS Copy the CLASS OBJECTIVE: Students will SIMPLIFY and EVALUATE Rational Functions

195 Students will SIMPLIFY and EVALUATE Rational Functions
Algebra II HW DUE: FACTORING POLYNOMIALS QUIZ 7 - Thursday Find your NEW ASSIGNED SEAT Chapter 6 QUIZ and Chapter 6 TEST Corrections Due WEDNESDAY OFFICE HOURS Copy the CLASS OBJECTIVE: Students will SIMPLIFY and EVALUATE Rational Functions CW/ HW: WSHT 9.7, 9.8

196 Algebra II Computer Lab 121 Work on Units – RATIONAL FUNCTIONS

197 Students will complete operations with RATIONAL FUNCTIONS
Advanced Algebra CW/HW DUE: WSHT 9.7, 9.8; Factoring Polynomials Partner Quiz WEDNESDAY CW – MIX AND MATCH Copy the CLASS OBJECTIVE Students will complete operations with RATIONAL FUNCTIONS Using your rational function, complete the following: Factor into lowest terms Find all the HOLES and ASYMPTOTES Define the DOMAIN for the function Find A+B, or C+D or E+F Find AC, or DF or EB Find A÷F, C÷B, E÷D

198 Algebra II Complete Unit 7 Partner TEST on Rational Functions (20 minutes) Composition of Functions

199 Algebra II Copy the CLASS OBJECTIVE:
Students will COMPOSE Functions and calculate values using COMPOSED Functions GIVEN: f(x) = 6x and g(x) = 2x2 – 1 Find the following: f(-6) 2. g(-6) 3. g(f(-6)) 4. f(g(-6)) 5. f(g(x)) 6. (g∘f)(x) HW: WSHT 4.8, 10.7 Due MONDAY 4/10

200 Algebra II HW: WSHT 4.8, 10.7 Due MONDAY 4/10
Students will COMPOSE Functions and calculate values using COMPOSED Functions CW: Function Mosh Pit Using your group’s function, complete the following: Find f(-13) or g(-13) Find INVERSE of f(x) or g(x) Find f(2x – 3) or g(2x – 3) Now….MOSH PIT!

201 1 POSTER PER GROUP showing all work
Algebra II HW: WSHT 4.8, 10.7 Due MONDAY 4/10 Each f(x)….find a g(x) to ‘MOSH’ with With your MOSH partners, find the following: f(g(x)) g(f(x)) f(g(-9)) g(f(-13)) f(g(3x+1)) g(f(-2x)) f(g(x))-1 (Inverse) 1 POSTER PER GROUP showing all work

202 SAT Tuesday Bring a scientific calculator Bring your TJ 2016-17 ID
Bring snack Be ready to test for 4 hours

203 Algebra II HW DUE: WSHT 4.8, 10-7 Quiz: Composition of Functions
Probability Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will DEFINE Experimental and Theoretical Probabilities and WRITE numerical probabilities for situations

204 Algebra II Copy the CLASS OBJECTIVE
Students will DEFINE Experimental and Theoretical Probabilities and WRITE numerical probabilities for situations WRITE a PROBABILITY value (0% to 100%) for each situation: A baby GIRL is born today The sun will rise tomorrow You will win the lottery You will roll a number greater than 4 on a dice You will get at least a ’B’ in math It will SNOW on the 4th of July

205 Advanced Algebra Probability Area Models
Fill in a grid for TWO DICE SUMS Draw a FREQUENCY GRAPH for the sums Find the following: P(sum=7) P(sum>8) P(sum<4) P(sum = 2, 3, 11, 12)

206 Advanced Algebra Probability Area Models
Roll your dice 25 times, and record your sums Draw a FREQUENCY GRAPH for your sums P(sum=7) P(sum>8) P(sum<4) P(sum = 2, 3, 11, 12) Were your probabilities close to the EXPECTED probabilities? What number did you roll MOST? LEAST? What would happen if you rolled the dice 100 times? 1000 times?

207 Advanced Algebra 2-Dice Sums
2 GRAPHS 2 P(Sum) Calculations – Theoretical, Experimental Compare and Contrast Copy the CLASS OBJECTIVE in the CW section of your binder: Students will calculate MEASURES OF CENTER for data sets Roll your 2-Dice until you get a ‘7’; Record the # of rolls on the poster Calculate STATS for the class data - Calculators Mean, MED, MODE, Range,5# Summary, IQR Draw a BOX Plot, Histogram Standard Deviation – What’s THAT? NORMAL Curve

208 Algebra II Copy the CLASS OBJECTIVE
Students will CALCULATE statistics for data sets and use the statistics to CREATE graphical displays for the data NOTES Pocket Change

209 Algebra II Copy the CLASS OBJECTIVE
Students will CALCULATE statistics for data sets and use the statistics to CREATE graphical displays for the data Backpack Data With your table, calculate the following STATISTICS for your data: Mean, MED, MODE, Range, 5# Summary, IQR, Outliers Draw a BOX PLOT and a HISTOGRAM for your data set

210 Algebra II Copy the CLASS OBJECTIVE in the CW Section of your binder:
Students will ANALYZE and SUMMARIZE statistics calculated from data sets, and state conclusions from those statistics What does the MEAN and the MODE tell you about the backpack weight? Explain in context of backpack weight. Who carried the heavier backpacks, Juniors or Seniors? Explain what stats you used to determine. COMPARE and CONTRAST the two BOX PLOTS and HISTOGRAMS for Jr. and Sr. backpack weight Shape, Center, Spread, Outliers

211 Advanced Algebra Copy the CLASS OBJECTIVE in the CW Section of your Binder: Students will use PROBABILITY TREES to calculate probabilities for events. Using your PROBABILITY TREE, find the following: P(Even #) P(Head) P(6 AND Tail) P(5 OR HEAD) P(ODD# AND Tail)

212 Students will use 2-WAY TABLES to calculate probabilities
Advanced Algebra Copy the CLASS OBJECTIVE: Students will use 2-WAY TABLES to calculate probabilities Respondent-Grade//Favorite Subject Math English Social Studies Science Totals 10th Female 18 22 5 13 58 11th Female 21 29 17 3 70 10th Male 26 8 12 24 11th Male 25 9 16 35 85 Total 90 68 50 75 283

213 Advanced Algebra Using the table, find the following: P(Female)
P(Science) P(~Math) P(~10th Grade) P(Math AND Female) P(Science OR 11th Grade)

214 Advanced Algebra Using the 2-WAY TABLE, find the probabilities:
1. P(Female ∪ English) P(10th Grade ∩ Math) P(11th Grade ∪ Social Studies) P(Male ∩ ~English) P(Male|Science) P(English | Female) P(Math | 11th grade)

215 Advanced Algebra Find each for the following using your 2-WAY TABLE:
P(Female|Math) P(English OR Social Studies | Male) Write 4 Probability Statements for the 2-WAY TABLE; 2 from the TOTAL and 2 Conditional Partner TASK

216 ‘Algebra II Measures of Center – Quiz Today 2-WAY Tables

217 Advanced Algebra Fundamentals of TRIGONOMETRY NOTES What is TRIG?
What are the 6 TRIG RATIOS Labeling a Triangle PYTHAGORAS…Who?!

218 Advanced Algebra Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will LABEL Triangles and SOLVE the TRIANGLES for all SIDE measurements and all ANGLE measurements Labeling a TRIANGLE using the REFERENCE angle Find the 6 TRIG RATIOS for if AC = 18 cm and BC = 32 cm HW DUE: Trig WSHEET #1 A C B

219 Advanced Algebra What is a RADIAN?
RADIANS and DEGREES Using the ratio of

220 Degrees to Radians Copy the CLASS OBJECTIVE in the CW Section of your 3-ring Binder Students will CONVERT Measurements of Angles in DEGREES <> RADIAN. Complete the following conversions using the ratio : = ? RAD = ? RAD = ? DEG = ? DEG

221 Advanced Algebra HW: DEG < > RAD
Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will SOLVE triangles using TRIGONOMETY and ALGEBRAIC METHODS Solving Triangles – Find ALL Sides and ALL Angles Solve the Triangle if AC = 8 cm and BC = 24 cm A C B

222 Advanced Algebra HW: DEG <> RAD WKSHT
Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will SOLVE triangles using TRIGONOMETY and ALGEBRAIC METHODS Solving Triangles – Find ALL Sides and ALL Angles Solve the Triangle if AC = 8 cm and BC = 24 cm A C B

223 Advanced Algebra A monkey sees a coconut at the top of a tree. He is looking at the coconut at an angle of 540, and he is standing 32 ft. from the tree. How high up is the coconut? 1.Draw a sketch of the situation, labeling the given information. 2.Find the height of the tree, showing all work 3. How far is the monkey from a coconut? What angle does the top of the coconut tree make with the monkey and the tree? HW: DEG <> RAD WKSHT Due Tuesday

224 Advanced Algebra HW: Sketch and Solve, “Did You Hear…” SAT Prep #5
Due FRIDAY SAT Prep #5 Copy the CLASS OBJECTIVE in the CW Section of your 3-ring binder Students will SKETCH and SOLVE triangles using TRIGONOMETY and ALGEBRAIC METHODS Draw a sketch of the problem and solve for the missing values: Mr. Banks is flying his kite. The kite is 60 feet in the air and he can see it at an angle of 660. How long is the string on the kite? Mr. Banks has his kite stuck in a tree. He can see the kite at an angle of 400 when he is 18 feet from the base of the tree. How high in the tree is the kite stranded? A 20 ft. ladder is against the wall, with the base of the ladder 2.5 feet from the wall. What is the angle formed with the ladder against the wall?

225 Algebra II 𝜃 HW DUE: DEG <> RAD WKSHT Due Tuesday
POP Quiz – TRIG Use the TRIANGLE to find the following: 1. Find MISSING SIDE 2. Find ALL 6-TRIG Ratios according to the REFERENCE angle 𝜽. 3. Find the missing angles ‘𝜽’ and ‘P’, showing all work 4. Write angle ‘𝜽′ and angle ‘P’ in RADIANS, showing all work ‘P’ 𝜃

226 POP Quiz 7𝜋 5 SKETCH and SOLVE
Mr. Banks is flying his kite. The kite is 44 feet in the air and he can see it at an angle of How long is the string on the kite? 2. Change to RADIANS: 280 3. Change to DEGREES: 4. Find the SIN, COS and TAN for each angle: a b. c 7𝜋 5 5𝜋 4

227 Advanced Algebra HW: Sketch and Solve, “Did You Hear…”
Due FRIDAY Copy the CLASS OBJECTIVE in the CW Section of your 3-ring binder: Students will use ISOSCELES and EQUILATERAL Triangles to write the 6 TRIG functions for angles in the UNIT CIRCLE Finding Trig Ratios using Equilateral and Isosceles Triangles

228 Advanced Algebra HW DUE: Sketch and Solve, “Did You Hear…”
Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will DEFINE the 6-TRIG Ratios for angles in the FOUR QUADRANTS of the UNIT CIRCLE The Cartesian Plane and REFERENCE Angles The UNIT CIRCLE Trig Table

229 Advanced Algebra Copy the TABLE on a sheet of NOTEBOOK PAPER:
Complete the table using values from your UNIT CIRCLE for 00 – to 3600 QUIZ Friday Degrees Radians SIN COS TAN CSC SEC COT

230 Advanced Algebra Copy the CLASS OBJECTIVE:
Students will GRAPH the parent functions of SINE and COSINE and COMPARE and CONTRAST the graphs. Graphs of SINE and COSINE COMPARE and CONTRAST the SINE and COSINE graphs Phase Shift Function f(x) = a(bx + c)+ d NOTES

231 Advanced Algebra TEST Today – TRIG Quiz #2
Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will DEFINE the COMPONENTS of the Trigonometry PHASE SHIFT Function and Graph In the CW Section of your binder, explain how to get the following for any function: Shift UP/DOWN Shift RIGHT/LEFT VERTICAL Stretch HORIZONTAL Stretch REFLECT over ‘x’ axis

232 Advanced Algebra Copy the CLASS OBJECTIVE:
Students will WRITE equations for TRIG Functions and SKETCH graphs of TRIG Functions CW: WSHT Trig Graphs Graphing Translations of TRIG Functions

233 Advanced Algebra ACT/PSAT Tuesday April 19 Know your testing room
10th, 11th Grade Know your testing room 7:30 am Bring your calculator

234 Advanced Algebra Using your graphing calculator and your SIN(x) parent function graph… Graph the function y = SIN(x), keep this function in y1. Graph each of the following functions in y2 with SIN(x), then write 3 sentences COMPARING and CONTRASTING the AMPLITUDE and SHIFTS of each function to SIN (x): 5 SIN(x) SIN(X) 3. SIN(x) – 3 SIN (x) SIN (x – 30) 6. SIN (x + 60) SIN (x – 45) SIN (x – 30) – 4

235 Students will WRITE Trig Phase Shift Functions from situations.
Algebra II Semester Final Project/Review – Due at Final Exam ALL make up work from TRIG Unit and test corrections due TUESDAY May 23 CW: Partner Task – Phase Shift Functions Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will WRITE Trig Phase Shift Functions from situations.

236 Advanced Algebra Write the SIN function as a TRANSLATION of COS – Write COS function as a TRANSLATION of SIN Write a SIN function with the following properties: Amplitude of 5 Shifted 60o to the LEFT Midline = -3 Reflected over ‘x’ axis Now…write as a COS function with the following properties:

237 Advanced Algebra Write the SIN function as a TRANSLATION of COS – Write COS function as a TRANSLATION of SIN Write a SIN function with the following properties: Amplitude of 3 Shifted to the LEFT Midline = 6 Now…write as a COS function with the following properties:

238 Advanced Algebra Using your graphing calculator and your SIN(x) parent function graph… Graph the function y = SIN(x), keep this function in y1. Graph each of the following functions in y2 with SIN(x), then write 3 sentences COMPARING and CONTRASTING the PERIOD of each function to SIN (x): 1. SIN (4x) 2. SIN (.5x) 3. SIN ( x)

239 Advanced Algebra Write TWO equations for the functions; One using a SIN function and one using a COS function:

240 Algebra II The London Eye Ferris Wheel is one of the largest Ferris wheels in the world. It has a RADIUS of 60 meters and 40, equally spaced cars. The center of the wheel is 15 meters off the ground. Find the height off the ground for the rider that is at the 2150 position Find the position on the wheel of a rider that is 100 feet off the ground.

241 Advanced Algebra Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will write PHASE SHIFT EQUATIONS for TRIG Functions from verbal descriptions. Students will then GRAPH 2PERIODS of the functions using the equations. Write a SIN and a COS function with the following properties then SKETCH the graph of the function: Period of 600 Amplitude of 4 Shifted 45o to the RIGHT Midline = 5 Period of 4 Amplitude of 2.5 Shifted to the RIGHT Midline = -1

242 Advanced Algebra WSHT 16-3, Graphing Circular Functions
Graphing Trig Functions Graph 2 PERIODS of each function: f(x) = 3 SIN(.25x) – 1 f(x) = .5COS(4x+45) + 3

243 Advanced Algebra Partner Graph Match Up QUIZ Unit TEST - MONDAY
Using the GRAPHS at the 6-stations around the room, write an equation for each graph in BOTH SIN and COS. Check your solutions on your calculator HW: WSHT/ Writing Equations for TRIG Functions Due WEDNESDAY Unit TEST - MONDAY

244 Advanced Algebra Unit TEST – MONDAY
HW: WSHT/ Writing Equations for TRIG Functions Due WEDNESDAY Unit TEST – MONDAY Copy the CLASS OBJECTIVE in the CW Section of your binder: Students will WRITE TRIG functions for situations and use the functions to SOLVE for unknowns. CW: Applications of TRIG Functions Ferris Wheels and Hummingbirds

245 Advanced Algebra Find Stella’s height on the Ferris Wheel at 88 degrees. Find Stella’s height on the Ferris Wheel at radians. Find the number of hummingbirds in 10 years, 20 years and 30 years. How many years will the number of hummingbirds be 300? 400? 200? 15𝜋 8

246 Advanced Algebra To be graded: Ferris Wheel, Hummingbirds
Laws of SINES and COSINES Solving NON-Right Triangles

247 Advanced Algebra Law of COSINES: Finding an unknown ANGLE when you know ALL SIDE LENGTHS NOTES

248 Advanced Algebra http://dpsare.com/2016sis
WEDNESDAY – Student Perception Surveys – LAB 123 Law of SINES: Finding an unknown SIDE or ANGLE when you know at least two side/angle: NOTES

249 Advanced Algebra WSHT: Laws of SINES and COSINES Project: Frisbee Golf
Due Monday Friday May 13 Groups of 3 Group names due APP Measure Tape (LITE)

250 Advanced Algebra Project: Frisbee Golf
1 Diagram and Problem Statement per GROUP 1 Process, Solution and Evaluation Per PERSON Due FRIDAY May 13

251 Advanced Algebra HW: WKSHT 4.2, 4.3 DUE FRIDAY
Write and equation for the function shown Using that function, TRANSLATE the function 5 units LEFT and 4 units DOWN and WRITE the equation

252 Advanced Algebra Simplify the following expressions using the RULES OF EXPONENTS. Explain ALL the rules you used to simplify: HW: Beetles and Snakes – Due WEDNESDAY Quiz – Rules of Exponents - THURSDAY 𝑥𝑥3 𝑦 − 𝑥 −2 𝑦 4 5 𝑦 2 𝑦 5 − 𝑥 − 𝑥 𝑥2𝑥−4 2𝑥 𝑦 −3 −3

253 Advanced Algebra Stella’s Garden Center sells Poinsettia flowers during the holiday season. Stella starts the season October 17th with 500 flowers. She sells 60% of the flowers each week, and adds an additional 24 plants to the inventory each week. Find the number of plants she has on December 1st. How many plants will she have left on December 24th?

254 Advanced Algebra HW: WSHT 5.3, 5.4 Due THURSDAY
Solve each equation, showing ALL work: 90 = 2x2 −6 𝑥+6 =−90 x−8 x−4 = x 2 −6x+8 x 2 −15x−54 −4𝑥 4 +36=−288 𝟓 𝒙–𝟖 𝟏/𝟑 + 𝟒𝟎 𝟓 =𝟏𝟏

255 Finding Inverses Copy the functions: 1. 2. 3. 3𝑥−5 4 9 =𝑓(𝑥)
3𝑥− =𝑓(𝑥) 7 8𝑥+4 5 =𝑦 −8 2𝑥− −19=𝑓(𝑥)

256 Algebra II Partner Task
1. Use FACTORING to solve for the ROOTS and VERTEX: f(x) = x2 + 8x – 65 Use COMPLETE the SQUARE to solve for the ROOTS and the VERTEX: f(x) = 5x2 + 30x – 135 Use the QUADRATIC FORMULA to solve for the ROOTS and the VERTEX: f(x) = 6x2 – 11x – 10

257 Advanced Algebra HW: 7.5, 7.6 Due Tuesday SAT PREP
Students will use the QUADRATIC FORMULA to solve quadratic equations for REAL and IMAGINARY solutions Solve for ‘x’:

258 Advanced Algebra Final Exam
SAT Scores on CollegeBoard.org/SAT Final Exam – Phones in bucket or w/ ID for CALC Final Project Due No LATE Projects accepted…NO EXCEPTIONS Summer HW on WIKI Pages Have some fun this summer using MATH!


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