UNIT 1: Functions, Graphs and Limits
Blank Student Notes Unit 1......................................................................... PreCalc PreRequisites especially for those who skipped Math 3
.......................................................................................................................... Notes: Limits, Properties, Continuity, Trig Limits
.......................................................................................................................... Notes& HW: Limits Packet
.......................................................................................................................... Review Unit 1 Test Limits
ANSWERS Student Notes Unit 1................................................................
WEEK #6: 25-29 September, 2017 *********************************************************************** WEEK #6 ********
NEW FILES *********************************************************************************************** FILES ***********
2.1 How Do We Measure Speed? Notes
ANSWERS to REVIEW UNIT 1 TEST - functions, graphs & limits
HOMEWORK ************************************************************************************ HOMEWORK ***********
Day 24: Monday - 25 September 2017 -------------------------------------------------- Limits-Continuity-IVT-Sandwich
Gateway Quiz #5 today! Last one! If absent please see your teacher!
Finish everything that you have not yet finished. It's already been assigned and due.
Day 25: Tuesday - 26 September 2017 -------------------------------------------------- Limits-Continuity-IVT-Sandwich
Study for the test by DOING problems! Review all work from this unit on topics: functions, limits found graphically & analytically using properties of limits and algebraic techniques like factoring, conjugates, complex fraction simplification, continuity, intermediate value theorem, sandwich theorem.
Day 26: Wednesday - 27 September 2017 ------------------------------------------------------------------- Unit 1 TEST
UNIT 1 TEST today!
HW Be sure that Properties of Limits, Limits-Continuity-IVT-Sandwich WS, IVT Lab, Sandwich Theorem, Unit Review are complete Mr Leech collected HW -- YAY Unit 1 is finished. On to Derivatives
Day 27: Thursday - 28 September 2017 ---------------------------------------------- 2.1 Measuring Speed NOTES Answers
TEXT §2.1 pp. 80 - 82 #1, 5, 7, 18 - 23............................................................................................................................. HW 2.1 Answers
Day 28: Friday - 29 September 2017 -------------------------------------------------- Measuring Speed - Intro Derivatives
TEXT §2.1 pp. 80 - 82 #2 - 10 even, 23, 24, 32 - 38 all.................................................................................................. HW 2.1 Answers
LEARNING TARGETS********************************************************************** LEARNING TARGETS ***********
Day 24:
I can demonstrate I know how to find limits (LAST Gateway Quiz #5)
Day 25:
I can clarify & solidify my understanding of concepts for the TEST by engaging actively in review of the answers to the review assignment.
Day 26:
I can demonstrate my understanding of Functions, Limits, Continuity, IVT, Sandwich Theorem on the summative Unit 1 Test.
Day 27:
2.1 How do we Measure Speed? Part 1-2-3:
I can estimate an average rate of change from a table of values or a graph.
I can estimate an instantaneous rate of change from a table of values or a graph.
I am working toward understanding the formal definition of derivative.
Day 28:
2.1 How do we Measure Speed? Part 3-4:
I understand how the average rate of change can become the instantaneous rate of change by letting the change in x get closer and closer to zero.
WEEK #5: 18-22 September, 2017 *********************************************************************** WEEK #5 *********
NEW FILES *********************************************************************************************** FILES ***********
Intermediate Value Theorem LAB Investigation
Sandwich/Squeeze Theorem
Versatile Evaluating Limit Activity #1 & #2
HOMEWORK ************************************************************************************ HOMEWORK ************
Day 19: Monday - 18 September 2017 ------------------------------------------------------- Intermediate Value Theorem
Lab 5: Intermediate Value Theorem #1-3, #4-5, TEXTBOOK pg 56 #11-14
WS Limits, Continuity, IVT & Sandwich #2
Day 20: Tuesday - 19 September 2017 ------------------------------------------------------- Intermediate Value Theorem
Gateway Quiz #2 today! If absent please see your teacher!
Lab 5: Intermediate Value Theorem #8, 10, TEXTBOOK pg 56 #34, 38-47
Day 21: Wednesday - 20 September 2017 ---------------------------------------------------- Sandwich/Squeeze Theorem
Gateway Quiz #3 today! If absent please see your teacher!
Sandwich Theorem Worksheet Problems #1-5
Unit 1 Review #1-6
Day 22: Thursday - 21 September 2017 ------------------------------------------------------ Sandwich/Squeeze Theorem
Gateway Quiz #4 today! If absent please see your teacher!
Sandwich Theorem - finish #1-5 as needed.
Unit 1 Review #8
Day 23: Friday - 22 September 2017 --------------------------------------------------------- Sandwich/Squeeze Theorem
1.8 Limits NOTES: pg 2 #21-30
VERSATILE-Limits (two sets of 12 limits) Refer to file on website. No individual copies. Use page protector sheets in class.
Finish ALL of Unit 1 Review #9-12 before Monday!!!
LEARNING TARGETS********************************************************************** LEARNING TARGETS ***********
Day 19:
I can apply the Intermediate Value Theorem to determine if a function has a possible zero on an interval.
Day 20:
I can demonstrate I know how to find limits (Gateway Quiz #2)
I can apply the Intermediate Value Theorem to determine if a function has a possible zero on an interval.
Day 21:
I can demonstrate I know how to find limits (Gateway Quiz #3)
I can use the Sandwich Theorem to determine the limit of a function.
Day 22:
I can demonstrate I know how to find limits (Gateway Quiz #4)
I can use the Sandwich Theorem to determine the limit of a function.
Day 23:
I will solidify my understanding of the Intermediate Value Theorem & Sandwich Theorem concepts and applications.
I can evaluate Limits graphically & algebraically & I know two trig limits.
WEEK #4: 12-15 September, 2017 *********************************************************************** WEEK #4 *********
NEW FILES *********************************************************************************************** FILES ***********
Trig Limits
Properties of Limits
Unit 1 Review for TEST
Limit-Continuity-IVT-Sandwich Theorem
HOMEWORK ************************************************************************************ HOMEWORK ***********
Day 15: Tuesday - 12 September 2017 --------------------------------------------------------------------------- Limits
Limits Packet page 7-8 all
Factoring HELP: See ABOUT page for factoring practice
*** Be prepared to turn in 1.7 Notes & 1.8 Notes on Wednesday (tomorrow)
Day 16: Wednesday - 13 September 2017 ----------------------------------------------------------------------- Limits
Properties of Limits Packet page 1-3 all
Factoring HELP: See ABOUT page for factoring practice
*** Be prepared to turn in Limits Packet on Thursday (tomorrow)
Day 17: Thursday - 14 September 2017 -------------------------------------------------------------------------- Limits
Gateway Practice Quiz today! If absent please see your teacher!
Properties of Limits Packet page 4-5 all
Day 18: Friday - 15 September 2017 ---------------------------------------------------------------------------- Limits
Gateway Quiz #1 today! If absent please see your teacher!
Properties of Limits in class p 5 Graphical Limits. Be sure LHL=RHL!
Properties of Limits P 6 all
Limits, Continuity, IVT & Sandwich WS all (except #2&3).
LEARNING TARGETS********************************************************************** LEARNING TARGETS ***********
Day 15: Evaluate Limits Analytically
I can use my calculator effectively and efficiently to solve problems.
I know two TRIG Limits.
I can evaluate limits analytically using 1) direct substitution or when necessary algebraic strategies
2) factoring, 3) conjugate factor or 4) simplifying complex fractions.
Day 16: Evaluating Limits
I can evaluate limits analytically using properties and techniques. (complex fractions-- in progress)
Day 17: Evaluating Limits
I can evaluate limits analytically using properties and algebraic techniques. (complex fractions-- solidify)
I can demonstrate that I know how to find limits (Practice Gateway on Limits).
Day 18: Evaluating Limits
I can apply the Intermediate Value Theorem to determine if a function has a possible zero on an interval.
I can demonstrate I know how to find limits (Gateway Quiz #1)
WEEK #3: 5-8 September, 2017 *********************************************************************** WEEK #3 *********
NEW FILES *********************************************************************************************** FILES **********
LIMITS PACKET
HOMEWORK ************************************************************************************ HOMEWORK **********
Day 11: Tuesday - 5 September 2017 --------------------------------------------------------------- Limits & Properties
If Absent today watch Video #2: Limit Properties
NOTES 1.8 Limits: Page 2 #11-14
Limits Packet: page 1-2 All.
Watch Video #1: factoring, conjugate factors & simplifying complex fractions
Day 12: Wednesday - 6 September 2017 ------------------------------------------------------------ Limits Algebraically
NOTES 1.8 Limits: page 2 #15-24
Limits Packet: page 3 (all) evaluating limits algebraically (direct substitution & factoring)
Day 13: Thursday - 7 September 2017 -------------------------------------------------- Limits Graphically & Algebraically
NOTES 1.8 page 4 #42
Limits Packet: page 4-5 (all)
Day 14: Friday - 8 September 2017 ---------------------------------------------------- Limits Graphically & Algebraically
NOTES 1.8 page 4 #42 a,b,c,f
Checked completely HW Limits Packet p4 (all)
Limits Packet: Page 6 Limits Practice#1 (all)
LEARNING TARGETS********************************************************************** LEARNING TARGETS **********
Day 11: Evaluating Limits
I can use Limit Properties to evaluate limits.
Day 12: Evaluating Limits
I can evaluate limits analytically using 1) direct substitution or when necessary algebraic strategies
2) factoring
Day 13: Evaluating Limits
I can evaluate limits analytically using 1) direct substitution or when necessary algebraic strategies
2) factoring,
3) conjugate factor or
Day 14: Evaluating Limits
I can evaluate limits graphically and analytically.
I can apply the definition of continuity.
I can graph a function satisfying limit criteria.
WEEK #2: 28 August - 1 September, 2017 ************************************************************** WEEK #2 *********
NEW FILES *********************************************************************************************** FILES **********
1.7 Continuous Functions Student Notes
1.8 Limits Student Notes
WS 1.8 Evaluating Limits Analytically
CLEAR_UP_QUIZ Confusion for ABSENT Students
HOMEWORK ************************************************************************************ HOMEWORK **********
Day 6: Monday - 28 August 2017 ------------------------------------------------------------------Rational Functions
NOTES Polynomial & Rational Function Packet:
Complete everything that has not yet been answered.
Day 7: Tuesday - 29 August 2017 ----------------------------------------------------------------Continuous Functions
Complete the textbook confirmation form on the Home Page.
Cover your text book. Write your name and period on the inside cover. Take your book home.
NOTES 1.7 Continuity: page 1-2 #1-2
NOTES Polynomial & Rational Function Packet: Have you finished yet ?????? Please finish !!!!!
Day 8: Wednesday - 30 August 2017 ------------------------------------------------------------Continuous Functions
NOTES 1.7 Continuity: page 3 #3-7
"Tomorrow: Tell me in 12" = 12 minute quiz based on polynomial and rational function packet.
Be able to 1) Solve a polynomial inequality.
2) Solve a rational inequality
3) Given a rational function
a) re-express as quotient + remainder/divisor using division
b) identify HA, VA, x-int, y-int
c) graph and label
Day 9: Thursday - 31 August 2017 ---------------------------------------------------------------Continuous Functions
Tell me in 12: QUIZ today
NOTES 1.7 Continuity page 3 #5-8
TEXTBOOK: Pg 56 #2,3,6-9 (Is the function continuous on the given interval?)
Day 10: Friday - 1 September 2017 ----------------- --------------------------------------------------------- Limits
NOTES 1.7 Continuity page 3 #8-9
1.8 Limits (Graphically) page 1 #1-10,page 3-4 #31-41
If you were absent on Friday: Print & complete the 1-page document called "Clear-Up_Quiz-Confusion"
LEARNING TARGETS ******************************************************************** LEARNING TARGETS **********
Day 6: Topic: rational functions
I can re-express a rational function as its quotient plus remainder/divisor using division.
I can identify HA, VA, x-int, y-int, hole, domain, range and graph.
I can write an equation for the transformation of a rational graph.
Day 7: Topic continuous functions
I intuitively understand where a function is continuous and discontinuous.
Day 8: Topic: continuous functions
I can identify 3 conditions required for a function to have continuity at a point x=c.
I can "justify" continuity at a point using the definition and apply the definition to solve problems.
Day 9: Topic: continuous functions
I can apply my understanding of continuity to find the value for k which makes a function continuous.
I know that for piece-wise functions to be continuous, the left-hand piece must connect with the right-hand piece and I know what to do to the function to make this happen.
Day 10: Topic: limits
I can evaluate limits graphically. I can evaluate the Left-Hand-Limit (LHL) as x->c and the Right-Hand-Limit (RHL) as x->c to determine if the limits as x->c exists. I know the notation for LHL, RHL and limit.
Week 1: Monday 21 August 2017 ********************************************************************** WEEK #1 **********
Welcome to AB Calculus - Introductions
Admin Details
WEEK #1: 21-25 August, 2017 ************************************************************************* WEEK #1 **********
NEW FILES *********************************************************************************************** FILES **********
7 Questions from Class Day 1
WS Toolkit Functions Lab
WS Polynomial and Rational Functions & Inequalities
Rational Functions Review
HOMEWORK ************************************************************************************ HOMEWORK **********
Day 1: Monday 21 - August 2017
WS: Toolkit Functions Lab #1-13, 15, 17
Complete the 7 Questions started in class
Day 2: Tuesday - 22 August 2017
WS Toolkit Functions Lab #1-13, 15, 17
WS Polynomial And Rational Function Inequalities page 1 #1-7 (polynomial columns only)
Day 3: Wednesday - 23 August 2017
WS Polynomial and Rational Function Inequalities page 1 #1-7 (rational column)
Day 4 Thursday - 24 August 2017
WS Polynomial and Rational Function Inequalities Page 4 #14-19 EBM & limits as x--> +/-infinity
Day 5: Friday - 25 August 2017
WS Polynomial and Rational Function Inequalities page 2 #1, 4, 5 & page 3 #10, 12, 13 complete info in the table
Absentees: see Rational Functions Review file for examples of synthetic division, identifying key features & graphing.
LEARNING TARGETS******************************************************************** LEARNING TARGETS **********
Day 1: Topic: review concpets
I will answer questions about math concepts I have learned in previous math courses to engage my brain in recalling & applying information.
Day 2: Topic: parent functions
I will recall specific detailed information about all of the toolkit functions or parent functions I studied in previous math courses including representations: algebraically, graphically, numerically, as well as, characteristics: domain, range, and asymptotes.
Day 3: Topic: polynomials & graphs
I will be able to identify Odd and Even functions using the mathematical definitions.
I will be able to graph polynomials with roots of multiplicity using local & end behavior characteristics.
I will be able to write inequality or interval notation to indicate the solution to a polynomial or rational inequality.
Day 4: Topic: end behavior of polynomial & rational functions
I can use "end behavior model" (EBM) to determine if a rational function has
1) a horizontal asymptote at y=0,
2) a horizontal asymptote at y= a constant or
3) an oblique asymptote and the model.
Day 5: Topic: rational functions
I know the toolkit rational function and I can
1) write an equation for a graph with basic transformations including reflection in the x-axis and translations.
2) re-express a rational function using factoring or division (so that I can...)
3) identify the key features of a rational function given its equation.
Blank Student Notes Unit 1......................................................................... PreCalc PreRequisites especially for those who skipped Math 3
.......................................................................................................................... Notes: Limits, Properties, Continuity, Trig Limits
.......................................................................................................................... Notes& HW: Limits Packet
.......................................................................................................................... Review Unit 1 Test Limits
ANSWERS Student Notes Unit 1................................................................
WEEK #6: 25-29 September, 2017 *********************************************************************** WEEK #6 ********
NEW FILES *********************************************************************************************** FILES ***********
2.1 How Do We Measure Speed? Notes
ANSWERS to REVIEW UNIT 1 TEST - functions, graphs & limits
HOMEWORK ************************************************************************************ HOMEWORK ***********
Day 24: Monday - 25 September 2017 -------------------------------------------------- Limits-Continuity-IVT-Sandwich
Gateway Quiz #5 today! Last one! If absent please see your teacher!
Finish everything that you have not yet finished. It's already been assigned and due.
Day 25: Tuesday - 26 September 2017 -------------------------------------------------- Limits-Continuity-IVT-Sandwich
Study for the test by DOING problems! Review all work from this unit on topics: functions, limits found graphically & analytically using properties of limits and algebraic techniques like factoring, conjugates, complex fraction simplification, continuity, intermediate value theorem, sandwich theorem.
Day 26: Wednesday - 27 September 2017 ------------------------------------------------------------------- Unit 1 TEST
UNIT 1 TEST today!
HW Be sure that Properties of Limits, Limits-Continuity-IVT-Sandwich WS, IVT Lab, Sandwich Theorem, Unit Review are complete Mr Leech collected HW -- YAY Unit 1 is finished. On to Derivatives
Day 27: Thursday - 28 September 2017 ---------------------------------------------- 2.1 Measuring Speed NOTES Answers
TEXT §2.1 pp. 80 - 82 #1, 5, 7, 18 - 23............................................................................................................................. HW 2.1 Answers
Day 28: Friday - 29 September 2017 -------------------------------------------------- Measuring Speed - Intro Derivatives
TEXT §2.1 pp. 80 - 82 #2 - 10 even, 23, 24, 32 - 38 all.................................................................................................. HW 2.1 Answers
LEARNING TARGETS********************************************************************** LEARNING TARGETS ***********
Day 24:
I can demonstrate I know how to find limits (LAST Gateway Quiz #5)
Day 25:
I can clarify & solidify my understanding of concepts for the TEST by engaging actively in review of the answers to the review assignment.
Day 26:
I can demonstrate my understanding of Functions, Limits, Continuity, IVT, Sandwich Theorem on the summative Unit 1 Test.
Day 27:
2.1 How do we Measure Speed? Part 1-2-3:
I can estimate an average rate of change from a table of values or a graph.
I can estimate an instantaneous rate of change from a table of values or a graph.
I am working toward understanding the formal definition of derivative.
Day 28:
2.1 How do we Measure Speed? Part 3-4:
I understand how the average rate of change can become the instantaneous rate of change by letting the change in x get closer and closer to zero.
WEEK #5: 18-22 September, 2017 *********************************************************************** WEEK #5 *********
NEW FILES *********************************************************************************************** FILES ***********
Intermediate Value Theorem LAB Investigation
Sandwich/Squeeze Theorem
Versatile Evaluating Limit Activity #1 & #2
HOMEWORK ************************************************************************************ HOMEWORK ************
Day 19: Monday - 18 September 2017 ------------------------------------------------------- Intermediate Value Theorem
Lab 5: Intermediate Value Theorem #1-3, #4-5, TEXTBOOK pg 56 #11-14
WS Limits, Continuity, IVT & Sandwich #2
Day 20: Tuesday - 19 September 2017 ------------------------------------------------------- Intermediate Value Theorem
Gateway Quiz #2 today! If absent please see your teacher!
Lab 5: Intermediate Value Theorem #8, 10, TEXTBOOK pg 56 #34, 38-47
Day 21: Wednesday - 20 September 2017 ---------------------------------------------------- Sandwich/Squeeze Theorem
Gateway Quiz #3 today! If absent please see your teacher!
Sandwich Theorem Worksheet Problems #1-5
Unit 1 Review #1-6
Day 22: Thursday - 21 September 2017 ------------------------------------------------------ Sandwich/Squeeze Theorem
Gateway Quiz #4 today! If absent please see your teacher!
Sandwich Theorem - finish #1-5 as needed.
Unit 1 Review #8
Day 23: Friday - 22 September 2017 --------------------------------------------------------- Sandwich/Squeeze Theorem
1.8 Limits NOTES: pg 2 #21-30
VERSATILE-Limits (two sets of 12 limits) Refer to file on website. No individual copies. Use page protector sheets in class.
Finish ALL of Unit 1 Review #9-12 before Monday!!!
LEARNING TARGETS********************************************************************** LEARNING TARGETS ***********
Day 19:
I can apply the Intermediate Value Theorem to determine if a function has a possible zero on an interval.
Day 20:
I can demonstrate I know how to find limits (Gateway Quiz #2)
I can apply the Intermediate Value Theorem to determine if a function has a possible zero on an interval.
Day 21:
I can demonstrate I know how to find limits (Gateway Quiz #3)
I can use the Sandwich Theorem to determine the limit of a function.
Day 22:
I can demonstrate I know how to find limits (Gateway Quiz #4)
I can use the Sandwich Theorem to determine the limit of a function.
Day 23:
I will solidify my understanding of the Intermediate Value Theorem & Sandwich Theorem concepts and applications.
I can evaluate Limits graphically & algebraically & I know two trig limits.
WEEK #4: 12-15 September, 2017 *********************************************************************** WEEK #4 *********
NEW FILES *********************************************************************************************** FILES ***********
Trig Limits
Properties of Limits
Unit 1 Review for TEST
Limit-Continuity-IVT-Sandwich Theorem
HOMEWORK ************************************************************************************ HOMEWORK ***********
Day 15: Tuesday - 12 September 2017 --------------------------------------------------------------------------- Limits
Limits Packet page 7-8 all
Factoring HELP: See ABOUT page for factoring practice
*** Be prepared to turn in 1.7 Notes & 1.8 Notes on Wednesday (tomorrow)
Day 16: Wednesday - 13 September 2017 ----------------------------------------------------------------------- Limits
Properties of Limits Packet page 1-3 all
Factoring HELP: See ABOUT page for factoring practice
*** Be prepared to turn in Limits Packet on Thursday (tomorrow)
Day 17: Thursday - 14 September 2017 -------------------------------------------------------------------------- Limits
Gateway Practice Quiz today! If absent please see your teacher!
Properties of Limits Packet page 4-5 all
Day 18: Friday - 15 September 2017 ---------------------------------------------------------------------------- Limits
Gateway Quiz #1 today! If absent please see your teacher!
Properties of Limits in class p 5 Graphical Limits. Be sure LHL=RHL!
Properties of Limits P 6 all
Limits, Continuity, IVT & Sandwich WS all (except #2&3).
LEARNING TARGETS********************************************************************** LEARNING TARGETS ***********
Day 15: Evaluate Limits Analytically
I can use my calculator effectively and efficiently to solve problems.
I know two TRIG Limits.
I can evaluate limits analytically using 1) direct substitution or when necessary algebraic strategies
2) factoring, 3) conjugate factor or 4) simplifying complex fractions.
Day 16: Evaluating Limits
I can evaluate limits analytically using properties and techniques. (complex fractions-- in progress)
Day 17: Evaluating Limits
I can evaluate limits analytically using properties and algebraic techniques. (complex fractions-- solidify)
I can demonstrate that I know how to find limits (Practice Gateway on Limits).
Day 18: Evaluating Limits
I can apply the Intermediate Value Theorem to determine if a function has a possible zero on an interval.
I can demonstrate I know how to find limits (Gateway Quiz #1)
WEEK #3: 5-8 September, 2017 *********************************************************************** WEEK #3 *********
NEW FILES *********************************************************************************************** FILES **********
LIMITS PACKET
HOMEWORK ************************************************************************************ HOMEWORK **********
Day 11: Tuesday - 5 September 2017 --------------------------------------------------------------- Limits & Properties
If Absent today watch Video #2: Limit Properties
NOTES 1.8 Limits: Page 2 #11-14
Limits Packet: page 1-2 All.
Watch Video #1: factoring, conjugate factors & simplifying complex fractions
Day 12: Wednesday - 6 September 2017 ------------------------------------------------------------ Limits Algebraically
NOTES 1.8 Limits: page 2 #15-24
Limits Packet: page 3 (all) evaluating limits algebraically (direct substitution & factoring)
Day 13: Thursday - 7 September 2017 -------------------------------------------------- Limits Graphically & Algebraically
NOTES 1.8 page 4 #42
Limits Packet: page 4-5 (all)
Day 14: Friday - 8 September 2017 ---------------------------------------------------- Limits Graphically & Algebraically
NOTES 1.8 page 4 #42 a,b,c,f
Checked completely HW Limits Packet p4 (all)
Limits Packet: Page 6 Limits Practice#1 (all)
LEARNING TARGETS********************************************************************** LEARNING TARGETS **********
Day 11: Evaluating Limits
I can use Limit Properties to evaluate limits.
Day 12: Evaluating Limits
I can evaluate limits analytically using 1) direct substitution or when necessary algebraic strategies
2) factoring
Day 13: Evaluating Limits
I can evaluate limits analytically using 1) direct substitution or when necessary algebraic strategies
2) factoring,
3) conjugate factor or
Day 14: Evaluating Limits
I can evaluate limits graphically and analytically.
I can apply the definition of continuity.
I can graph a function satisfying limit criteria.
WEEK #2: 28 August - 1 September, 2017 ************************************************************** WEEK #2 *********
NEW FILES *********************************************************************************************** FILES **********
1.7 Continuous Functions Student Notes
1.8 Limits Student Notes
WS 1.8 Evaluating Limits Analytically
CLEAR_UP_QUIZ Confusion for ABSENT Students
HOMEWORK ************************************************************************************ HOMEWORK **********
Day 6: Monday - 28 August 2017 ------------------------------------------------------------------Rational Functions
NOTES Polynomial & Rational Function Packet:
Complete everything that has not yet been answered.
Day 7: Tuesday - 29 August 2017 ----------------------------------------------------------------Continuous Functions
Complete the textbook confirmation form on the Home Page.
Cover your text book. Write your name and period on the inside cover. Take your book home.
NOTES 1.7 Continuity: page 1-2 #1-2
NOTES Polynomial & Rational Function Packet: Have you finished yet ?????? Please finish !!!!!
Day 8: Wednesday - 30 August 2017 ------------------------------------------------------------Continuous Functions
NOTES 1.7 Continuity: page 3 #3-7
"Tomorrow: Tell me in 12" = 12 minute quiz based on polynomial and rational function packet.
Be able to 1) Solve a polynomial inequality.
2) Solve a rational inequality
3) Given a rational function
a) re-express as quotient + remainder/divisor using division
b) identify HA, VA, x-int, y-int
c) graph and label
Day 9: Thursday - 31 August 2017 ---------------------------------------------------------------Continuous Functions
Tell me in 12: QUIZ today
NOTES 1.7 Continuity page 3 #5-8
TEXTBOOK: Pg 56 #2,3,6-9 (Is the function continuous on the given interval?)
Day 10: Friday - 1 September 2017 ----------------- --------------------------------------------------------- Limits
NOTES 1.7 Continuity page 3 #8-9
1.8 Limits (Graphically) page 1 #1-10,page 3-4 #31-41
If you were absent on Friday: Print & complete the 1-page document called "Clear-Up_Quiz-Confusion"
LEARNING TARGETS ******************************************************************** LEARNING TARGETS **********
Day 6: Topic: rational functions
I can re-express a rational function as its quotient plus remainder/divisor using division.
I can identify HA, VA, x-int, y-int, hole, domain, range and graph.
I can write an equation for the transformation of a rational graph.
Day 7: Topic continuous functions
I intuitively understand where a function is continuous and discontinuous.
Day 8: Topic: continuous functions
I can identify 3 conditions required for a function to have continuity at a point x=c.
I can "justify" continuity at a point using the definition and apply the definition to solve problems.
Day 9: Topic: continuous functions
I can apply my understanding of continuity to find the value for k which makes a function continuous.
I know that for piece-wise functions to be continuous, the left-hand piece must connect with the right-hand piece and I know what to do to the function to make this happen.
Day 10: Topic: limits
I can evaluate limits graphically. I can evaluate the Left-Hand-Limit (LHL) as x->c and the Right-Hand-Limit (RHL) as x->c to determine if the limits as x->c exists. I know the notation for LHL, RHL and limit.
Week 1: Monday 21 August 2017 ********************************************************************** WEEK #1 **********
Welcome to AB Calculus - Introductions
Admin Details
WEEK #1: 21-25 August, 2017 ************************************************************************* WEEK #1 **********
NEW FILES *********************************************************************************************** FILES **********
7 Questions from Class Day 1
WS Toolkit Functions Lab
WS Polynomial and Rational Functions & Inequalities
Rational Functions Review
HOMEWORK ************************************************************************************ HOMEWORK **********
Day 1: Monday 21 - August 2017
WS: Toolkit Functions Lab #1-13, 15, 17
Complete the 7 Questions started in class
Day 2: Tuesday - 22 August 2017
WS Toolkit Functions Lab #1-13, 15, 17
WS Polynomial And Rational Function Inequalities page 1 #1-7 (polynomial columns only)
Day 3: Wednesday - 23 August 2017
WS Polynomial and Rational Function Inequalities page 1 #1-7 (rational column)
Day 4 Thursday - 24 August 2017
WS Polynomial and Rational Function Inequalities Page 4 #14-19 EBM & limits as x--> +/-infinity
Day 5: Friday - 25 August 2017
WS Polynomial and Rational Function Inequalities page 2 #1, 4, 5 & page 3 #10, 12, 13 complete info in the table
Absentees: see Rational Functions Review file for examples of synthetic division, identifying key features & graphing.
LEARNING TARGETS******************************************************************** LEARNING TARGETS **********
Day 1: Topic: review concpets
I will answer questions about math concepts I have learned in previous math courses to engage my brain in recalling & applying information.
Day 2: Topic: parent functions
I will recall specific detailed information about all of the toolkit functions or parent functions I studied in previous math courses including representations: algebraically, graphically, numerically, as well as, characteristics: domain, range, and asymptotes.
Day 3: Topic: polynomials & graphs
I will be able to identify Odd and Even functions using the mathematical definitions.
I will be able to graph polynomials with roots of multiplicity using local & end behavior characteristics.
I will be able to write inequality or interval notation to indicate the solution to a polynomial or rational inequality.
Day 4: Topic: end behavior of polynomial & rational functions
I can use "end behavior model" (EBM) to determine if a rational function has
1) a horizontal asymptote at y=0,
2) a horizontal asymptote at y= a constant or
3) an oblique asymptote and the model.
Day 5: Topic: rational functions
I know the toolkit rational function and I can
1) write an equation for a graph with basic transformations including reflection in the x-axis and translations.
2) re-express a rational function using factoring or division (so that I can...)
3) identify the key features of a rational function given its equation.