Math 1 Chapter 8 Notes.notebook - Capital High...

Math1Chapter8Notes.notebook March02,2016

Property#1

Property#2

Property#3

Math 1 Lesson 8-1 Date:_______Title:Apply exponent properties involving products pg.489

Exponents:

Example 1

Example 2

Example 3

Example 4

WKSH 8-1


Property#4

Property#5

Property#6

Math 1 Lesson 8-2 Date:_______Title: Applying exponent properties involving quotients pg.495

Property#1 Property#2 Property#3

Example 1

Example 2

Example 3

Now lets put them all together

wksh 8-2


8-1 8-2 REVIEW


Property#1

Property#2

Property#3

Property#4

Property#5

Property#6

Property#7

Example3Simplifywriteyouranswerusingonlypositiveexponents

Math 1 Lesson 8-3 Date:_______Title: Define and use zero and negative exponents pg.503

Example 1

Example 2

pg. 506 1-51 EOO


Math 1 Lesson 8-4 Date:_______Title: Scientific notation pg.512

Example 4

Example 3

Example 1 and 2

pg. 515 3-51 odd


Key Vocab:Exponential Functions are function of the form they are nonlinear functions

Example 1: Write a rule for the function

Example #2 Graph the function Use a T-table. Identify the domain and Range

ExponentialgrowthModel ExponentialgrowthModel

Asymptote: gets closer and closer but never touches

Math 1 Lesson 8-5 Date:_______Title: Write and Graph exponential growth functions pg.520

when a is POSITIVE When a is NEGATIVE

pg. 523 1-33 odd


85Continued

p=amount invested principle

r = interest rate n = number of times compounded

t = time in years


example 1: Tell whether the table represents and exponential function.If so write a rule for the function

ExponentialgrowthModel ExponentialDecayModel

Example 2 Graph the function and identify the domain and range

ExponentialgrowthModel ExponentialDecayModel

Math 1 Lesson 8-6 Date:_______Title: Write and graph Exponential Decay functions pg. 531

8-6 WKSH


86Continued

Example: Your friend bought a car for $22,000 brand new in 2008. It is known that cars depreciate at a rate of 15% per year. What is the value of your friends car now in 2013?


Chapter 8 Review

You deposit $400 in a savings account that compound yearly at 6% interest. Write an equation for the situation and th

Example: Your friend bought a car for $22,000 brand new in 2008. It is known that cars depreciate at a rate of 15% per year. What is the value of your friends car now in 2012?

Reviewforonly20min

Attachments

Text

CopyofMLAlg1Pacing.xlsx

Alg1Zombie.pdf

http://www.classzone.com/cz/books/algebra_1_2007_na/book_home.htm?state=MTCh 1,2

Math 1

Chapter 1 - Expressions, Equations and Functions

Chapter 2 - Properties of Real Numbers

DayTopicPage/(s)AssignmentPoints earned/possible

1IntroductionBeginning days - Who Are You, You Should Know This

2Course Expectations Pre-Assessment

3Computer Lab - online text, moodle, homework tutor, PowerschoolOnline tour

41-1: Evaluate ExpressionsPg. 5-7# 1,2,424E, 25, 2644E, 45-51, 54-62E

51-2: Order of OperationsPg. 10-12#4-18 E, 20,21, 22-30 E, 34-36, 38,39, 42-52 E

61-3: Writing ExpressionsPg. 18-20#1,4-28 E, 31-33, 35-37,39,42,45

71-4: Writing Expressions + InequalitiesPg. 24-26Quiz #1:

#2-10 E, 12-15, 18-34 E, 40-43, 45, 46

81-5: Problem SolvingPg. 31-33#3-10, 13-18, 22

91-6: Functions as Tables + RulesPg. 38-40#1-10,12-16, 20-22, 25, 29, 34-36

101-7: Functions as GraphsPg. 46-48Day 1: #1, 3-10, 12-16 E, 22-30 E

11Unit 1 QuestPg 62#1-13

122-1: Use Integers and Rational NumbersPg 67-70#1-3,8-13, 17-22, 28-38E, 53-58, 61-75odds

132-2: Add Real Numberspg 77-79 #2-24E, 26-31, 32-42E, 52-54

2-3: Subtract Real Numberspg 82-84#6-44E

142-4: Multiplying Real Numberspg 91-93 #4-18E,19-27, 28-44E, 45-48, 50,51

2-6: Dividing Real Numberspg 106-108#1,7-23odds, 28-31, 37-49, 52, 53

152-5: Apply the Distributive Propertypg 99-101Day 1: #1-4, 9-20, 23-27, 62-67

Day 2: Quiz #2; #30-47,50,52,56-61

16Test ReviewPractice Chapter 1 Test Pg 57 #1-19 Practice Chapter 2 Test Pg 125 #2-32E

17Unit 1,2 Test

CHAPTER SUMMARYTotal Points Earned

Total Points Possible

Chapter Percentage

Ch 3

Math 1

Chapter 3 - Solving Linear Equations

DayTopicPage/(s)ProblemsPoints earned/possible

13-1: Solve One-step Equationspg 137-140#1,3-48 x3, 49-52, 54,55,60,64-74E

23-2: Solve Two-step Equationspg 144-146#1,6-26E, 30, 33, 38-40, 50-54

3Sec 3-3: Solve Multi-Step Equationspg 150-153#7-17,20-32E, 38-40, 43

4Sec. 3-4: Solve Equations with Variables on Both Sidespg 157-159 Day 1: #1,2,3-27 X3, 30-44E, 50

5Day 2: Equations Worksheet

6Quizfinish wksht

73.5: Write Ratios and Proportionspg 165-167#1, 8-30E, 39, 40,45,50,51,56-58

83.6: Solve Proportions Using Cross ProductsPg 171-173#6-12E, 17-24,33,34,44-47

93.7: Solve Percent ProblemsPg 179-181#3-18, 33, 34, 47-52

103.8 Rewrite Equations and Formulaspg 137-140Day 1: #3-18 x 3

11Day 2: Practice 3.8 wksht

12Test Review Pg 192-196Chapter Review # 1-37, 58, 61 (left collumn only)

13Chapter 3 TestExtra Credit for Chapter 3: pg 202 #1-49 skip x3 *Due on Nov 4!



Chapter Percentage

Ch 4

Math 1

Chapter 4 - Graphing Linear Equations and Functions

DayTopicPage/(s)ProblemsPoints earned/possible

1 4-1: Plot Points in a Coordinate Practice 4.1 worksheet

2 4-2: Graph Linear Equationspg 219-221Day 1: #4-10E, 15-25,33,44-47

3Day 2: Practice 4.2 worksheet

4 4-3: Graph using Interceptspg 229-232#4-26E, 28-30, 36, 38-40, 46

5 4-4: Find Slope and Rate of Changepg 239-242Day 1: Quiz, #4-16

6Day 2: #19-30, 36-38, 60, 61

7Day 1: Practice 4.5 Worksheet A

8 4-5: Graph using Slope Intercept FormDay 2: 4.5 Worksheet #1-16

9Day 3: Pg 247 #1,2, 4-20E, 23-28, 30-36E

10 4-7: Graphing Linear Functionspg 265-268Day 1: #6-12, 24-34E

11Day 2: Quiz; #40-43

12Test Review Pg 275Practice Chapter Test # 1-12, 16-21, 23

13Chapter 4 TestExtra Credit for Chapter 4: pg 223 #1-9; pg 279 #13-15 *Due on Nov 9!



Chapter Percentage

Ch 5

Math 1

Chapter 5 - Writing Linear Equations

DayTopicProblemsPoints earned/possible

1 5-1: Write linear Equations in Slope-Intercept FormDay 1: Practice 5.1 #1-15

2Day 2: pg. 286 #1, 4-8E, 16-20, 24-34E, 45-47, 51

35-2: Use Linear Equations in Slope -Intercept FormDay 1: Practice 5.2 Worksheet #1-15

4Day 2: pg. 296 #4-8E, 9,10, 12-27 X3, 38-40, 48, 50

5 5-3: Write Linear Equations in Point-Slope FormPractice 5.3 Worksheet

6Day 2: pg 306 #14, 15, 26-34E, 37, 40, 48-53

7 5-4: Write Linear Equations in Standard Formpg. 314 #1-3, 9-27 X3, 31, 38, 39

8QuizNo Assignment

9 5-5: Write equations of Parallel and Perpendicular Linespg. 322 #3, 6, 9, 12-16, 18-30 X3, 32

10 5-6: Fit a Line to DataPractice 5.6 worksheet

115-7: Predict with Linear ModelsDay 1: pg. 338 #3,5, 8-14, 30-32

12Day 2: Quiz; pg 338 # 18-23

13Test ReviewCopy of Online results of Practice Test or Pg 349 #1-18

14Chapter 5 TestExtra Credit for Chapter 5: Read pg 350-352 Do #1-8, 17, 18 *Due on Dec 22!



Chapter Percentage

Ch 6

Math 1

Chapter 6 - Solving and Graphing Linear Inequalities


1 6-1: Solve Inequalities using Addition and Subtractionpg. 359 #1-9, 10-20E, 22-28, 32-36E

26-2: Solve Inequalities using Multiplication and divisionpg. 366 #8-26E, 28-33, 36-37, 39-40

36-3: Solve Multi-Step Inequalitiespg. 372 #4-14E, 15-18, 29-32, 34-35, 37, 38, 45-50* Quick homework quiz over 1,2?

46-4: Solve Compound Inequalitiespg. 384 #1-8, 10-22 E

5Pg 384 #23-31, 33-38* Review for Quiz

6QuizNo Assignment

76-5: Solve Absolute Value EquationsDay 1: pg. 393 #3-17, 21-22

8Day 2: pg 393 #23-32, 42-48E, 52

9Extension: Graphing Absolute Value functionsPg 397 #1-7

10 6.7: Graph Linear Inequalities in Two VariablesDay 1: Practice 6.7 worksheet #1-21

11Day 2: Quiz, pg 409 #1,2,37-50, 54, 57

12Test ReviewCopy of Online results of Practice Test or Pg 419 #2-34E

13Chapter 6 TestExtra Credit for Chapter 6 Read pg 420-423 Do #1-12 *Due on !



Chapter Percentage

Ch 7

Math 1

Chapter 7 - System of Equations and Inequalities


1 7-1: Solve Linear Systems by GraphingPractice 7.1 worksheet; skip 17, 23

27-2: Solve Linear Systems by SubstitutionDay 1: Practice 7.2 Worksheet #7-19

3Day 2: Pg 439 #2, 9-27 X3, 31,32,36

47-3: Solve Linear Systems by Adding and SubtractingQuiz, Pg 447 #4-20E, 26, 40

57-4: Solve Linear Systems by Multiplying FirstDay 1: Practice 7.4 Worksheet #1-15

6Day 2: Pg 455 # 15-21, 37-40

7QuizNo Homework

87-5: Solving Special Types of Linear SystemsPractice 7.5 Worksheet #1-15all, 16-24 E, 25,26

97-6: Solve Systems of Linear InequalitiesPractice 7.6 Worksheet #1-20

10Test ReviewPg 476-478 #1-31 Left collumn only

11Chapter 7 TestExtra Credit for Chapter 7 Maximizing Profit (see back) *Due on Feb 17!



Chapter Percentage

Ch 8

Math 1

Chapter 8 - Exponents and Exponential Functions


1 8-1: Applying Exponents Properties Involving Products pg. 492 #3-18, 20-38E

28-2: Apply Exponent Properties Involving Quotients pg. 499 #22-36E

38-2: Apply Exponent Properties Involving Quotients (Day #2) Practice 8.2 (skip 19, 21)

48-3: Define and Use Zero and Negative Exponents Quiz; pg. 506 #8, 12, 14, 22, 28-42E

58-5: Write and Graph Exponential Growth Functions (Day #1) pg. 524 #4-7, 8-20E, 60, 61

68-5: Write and Graph Exponential Growth Functions (Day #2) pg. 524 #22-30E, 33, 41, 44, 52-58E

78-6: Write and Graph Exponential Decay Functions (Day #1) Quiz, pg. 535 #3-6, 8-18E, 32-34, 63-66

88-6: Write and Graph Exponential Decay Functions (Day #2) pg. 535 #20-30E, 35, 38-40, 50

9Test Review pg. 542 #3-5, 6-28E, 36-42E

10 Chapter 8 TestExtra Credit for Chapter 8 8.5 Problem Solving Workshop Due March 22



Chapter Percentage

Ch 9

Math 1

Chapter 9 - Polynomials and Factoring


1 9-1: Add and Subtract Polynomials9-1 Worksheet #1-15

29-2: Multiplying Polynomialspg. 565 # 4-8E, 20-24E, 28-32E

39-1/9-2 After Spring Break Refresher9-2 Worksheet #1-21

49-3: Find Special Products of Polynomials9-3 Worksheet #1-24

5If Necessary Q & A and finish Worksheet?

69-4: Solve Polynomial Equations in Factored FormQuiz; 9-4 Worksheet #1-21

79-4: Solve Polynomial Equations in Factored Form9-4 Worksheet #22-36

89-5: Factoring pg. 586-589 #1-19, 66-72E

99-5: Factoring pg 586-589 #22-46E, 60

10factoring worksheet?

11Test ReviewPg 616 # 4-6, 8-42E

12Chapter 9 Test



Chapter Percentage

Ch 10,11

Math 1

Chapter 10 - Quadratic Equations and Functions


110-1 Graph y=ax2+c10.1 Worksheet A (do all)

210.1 worksheet B (do evens)

310-2 Graph y = ax2+bx+cpg. 638 #4-10, 13-14, 27-33

4Pg 638 #16-26E, 46-58E *Must use graph paper!

510-4 Use Square Roots to Solve Quadratic Equationspg. 655 #3-14, 18-22 even

6Pg 655 #30-40, 56

7Quiz

810-5 Solve Quadratic Equations by Completing the SquarePg 666 #1-17

9Pg 666 #18-28E

1010-6 Solve Quadratic Equations by the Quadratic FormulaPg 674 #4-20E,

11Pg 675 #34-37 (use each of the four methods once), 46, 47

1210-7 Interpret the DiscriminantPg 681 #3-17, 45, 46

13Test ReviewPg 701 Practice Chapter Test #1-20(skip right collumn)

14Chapter 10 TestExtra Credit for Chapter 10 Ch 1-10 Cumulative Review Page 706-707 #2-56E *Due on May 18!

1511.2 Simplify Radical ExpressionsPg 723 #1-30

16Pg 723 #34-47, 83-86

1711.3 Solve Radical EquationsPg 732 #4-28E, 44-47



Chapter Percentage

SMART Notebook

Name: Per:_ Date: _Zombie Lab - Exponential Growth

Background

To help make predictions in real-world situations, researchers often use experiments calledsimulations. The results of simulations often produce data that can be gathered and analyzed.Simulations often result in the construction of mathematical models that can be applied to real-world phenomena. Suppose that we are trying to predict the US Population in the year 2020 basedon the historical data obtained from the US Census fnote, Population is in millionsJ:

In order to construct a mathematical model of this data we will first simulate population growth ofa zombie apocalypse in order to obtain a mathematical model, then, we will apply the mathematicalmodel that we construct to the real-world data above.

" * ;:";; ",. ",', ilJ", ; : ::: ::,,, : I :: .*."'. :,H*-, .n. o " o ", 3ftgrowth of "sick people" affected by a zombie. Each population growth study will start with an initial

population of sick people, which will "reproduce" according to the description below when the boxis closed and shaken and opened again.

Generation 0 1 2 3 4 5 6A [# sick] 2B(# sickl 6C H sick) 4Dft sick) 4

Analysis

1. How does the initial population (A-B) change the behavior of sick people growth?

2.How does changing the growth pattern (C-D) change the behavior of sick people growth?

3. Determine the average growth rate for each simulation.

A: B: C: D:

Decades after 19OO 0 I 2 3 na 5Ponulation fmillionsi 76.1 92.4 106.5 L23.7 t32.1 r52.3Decades after 1900 6 I 9 10 11Population [millions] 180.7 205.L 227.2 249.5 273.9 308.1

Simulation Initial Population Growth Pattern of Infected Sick PeopleA 2 For every sick person with an "S" showing add 1 SkittleB 6 For every sick person w th an "S" showine add 1 Skittlec 4 For every sick person w th an "S" showing add 1 SkittleD 4 For every sick person w th an "S" showing add 2 Skittles

D:C:B:A:

Name: Per:_ Date:4. Can you combine whatyou know about initial population and average $owth rate to construct a functionthat predicts the number of sick people as a function of the number of shakes (generations)?

5. Use your function to predict the number of sick people in each simulation after 15 generations.

A: B: C: D:

Simulation Application

Use the results that you have learned from the simulation above to construct an exponentialfunction that models the US Population based on the historical data provided at the beginning.Explain how you arrived at the components [initial population and growth rate) of your function.(Hint set your input values to be decades after L900).

Exponential Function/Model : (Consider checking your model using Desmos)

Explain how you arrived at your function above and sketch its graph.

1. What growth rate does your model incorporate?

2. What initial population does your model incorporate?

3. What population is predicted by your exponential function for the US population in 2020?

4. What population is predicted by your exponential function for the US population in 2030?

5. When does your model predict that US Population will rise above 400 million? (use graph)

6. When does your model predict that US Population will rise above 500 million? (use graph)

SMART Notebook

Page 1: Feb 16-8:16 AMPage 2: Feb 16-8:44 AMPage 3: Feb 23-7:55 AMPage 4: Feb 23-2:18 PMPage 5: Mar 1-2:24 PMPage 6: Mar 1-1:41 PMPage 7: Feb 25-9:48 AMPage 8: Mar 3-11:41 AMPage 9: Feb 28-3:00 PMPage 10: Feb 28-3:09 PMPage 11: Feb 28-3:12 PMPage 12: Feb 28-3:21 PMPage 13: Mar 9-8:46 AMPage 14: Mar 7-1:26 PMPage 15: Mar 9-9:55 AMPage 16: Mar 11-1:33 PMAttachments Page 1

Math 1 Chapter 8 Notes.notebook - Capital High...

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