Upload
others
View
7
Download
0
Embed Size (px)
Citation preview
Math 1 Chapter 8 Notes.notebook March 02, 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
Math 1 Chapter 8 Notes.notebook March 02, 2016
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
Math 1 Chapter 8 Notes.notebook March 02, 2016
8-1 8-2 REVIEW
Math 1 Chapter 8 Notes.notebook March 02, 2016
Property # 1
Property #2
Property #3
Property #4
Property #5
Property #6
Property #7
Example 3 Simplify write your answer using only positive exponents
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 Chapter 8 Notes.notebook March 02, 2016
Math 1 Chapter 8 Notes.notebook March 02, 2016
Math 1 Chapter 8 Notes.notebook March 02, 2016
Math 1 Lesson 8-4 Date:_______Title: Scientific notation pg.512
Example 4
Example 3
Example 1 and 2
pg. 515 3-51 odd
Math 1 Chapter 8 Notes.notebook March 02, 2016
Math 1 Chapter 8 Notes.notebook March 02, 2016
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
Exponential growth Model Exponential growth Model
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
Math 1 Chapter 8 Notes.notebook March 02, 2016
85 Continued
p=amount invested principle
r = interest rate n = number of times compounded
t = time in years
Math 1 Chapter 8 Notes.notebook March 02, 2016
example 1: Tell whether the table represents and exponential function.If so write a rule for the function
Exponential growth Model Exponential Decay Model
Example 2 Graph the function and identify the domain and range
Exponential growth Model Exponential Decay Model
Math 1 Lesson 8-6 Date:_______Title: Write and graph Exponential Decay functions pg. 531
8-6 WKSH
Math 1 Chapter 8 Notes.notebook March 02, 2016
86 Continued
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?
Math 1 Chapter 8 Notes.notebook March 02, 2016
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?
Review for only 20 min
Math 1 Chapter 8 Notes.notebook March 02, 2016
Math 1 Chapter 8 Notes.notebook March 02, 2016
Math 1 Chapter 8 Notes.notebook March 02, 2016
Attachments
Text
Copy of ML Alg 1 Pacing.xlsx
Alg 1 Zombie.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# 1,2,4–24E, 25, 26–44E, 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 SUMMARYTotal Points Earned
Total Points Possible
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 SUMMARYTotal Points Earned
Total Points Possible
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 SUMMARYTotal Points Earned
Total Points Possible
Chapter Percentage
Ch 6
Math 1
Chapter 6 - Solving and Graphing Linear Inequalities
DayTopicProblemsPoints earned/possible
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 SUMMARYTotal Points Earned
Total Points Possible
Chapter Percentage
Ch 7
Math 1
Chapter 7 - System of Equations and Inequalities
DayTopicProblemsPoints earned/possible
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 SUMMARYTotal Points Earned
Total Points Possible
Chapter Percentage
Ch 8
Math 1
Chapter 8 - Exponents and Exponential Functions
DayTopicProblemsPoints earned/possible
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 SUMMARYTotal Points Earned
Total Points Possible
Chapter Percentage
Ch 9
Math 1
Chapter 9 - Polynomials and Factoring
DayTopicProblemsPoints earned/possible
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 SUMMARYTotal Points Earned
Total Points Possible
Chapter Percentage
Ch 10,11
Math 1
Chapter 10 - Quadratic Equations and Functions
DayTopicProblemsPoints earned/possible
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 SUMMARYTotal Points Earned
Total Points Possible
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