Algebra 2 Ch6 Review - SHOW ALL WORK FOR FULL CREDIT
|
|
|
- Tyrone Phelps
- 5 years ago
- Views:
Transcription
1 Algebra 2 Ch6 Review - SHOW ALL WORK FOR FULL CREDIT Name: Multiple Choice Identify the choice that best completes the statement or answers the question. Simplify the expression The height H (in centimeters) of a container being printed by a 3-D printer is related to the radial position r (in centimeters) by the equation. Describe the transformation of represented by H. Then use the function to determine the height of the container when the radial position is 1.1 centimeters. a. The graph of H is a vertical shrink by a factor of 2.7 followed by a translation 2.3 centimeters down of the graph of f ; about 5.1 cm b. The graph of H is a translation 2.3 centimeters down followed by vertical shrink by a factor of 2.7 of the graph of f ; about 5.1 cm c. The graph of H is a vertical stretch by a factor of 2.7 followed by a translation 2.3 centimeters down of the graph of f ; about 5.1 cm d. The graph of H is a translation 2.3 centimeters down followed by a vertical stretch by a factor of 2.7 of the graph of f ; about 5.1 cm 5. Your friend deposits $4000 in an investment account that earns 4.7% annual interest. Find the balance after 14 years when the interest is compounded daily. a. $ c. $ b. $ d. $ Rewrite the equation in logarithmic form
2 Evaluate the logarithm a. 2 c. 2 b. 1 d a. 1 c b. 2 d Simplify. a. e c. 9 b. 1 d. e Find the inverse of the function Write a rule for g that represents the indicated transformations of the graph of f. ; translation 1 unit right followed by a horizontal shrink by a factor of Use and to evaluate. a c b d Use and to evaluate. a c b d. 4 Expand the logarithmic expression.
3 Condense the logarithmic expression Use the change-of-base formula to evaluate. a c b d Solve the equation a. x = 2 c. x = 6 b. x = 3 d. x = 1 a. x = 3 c. x = 1 b. x = 4 d. x = 13 b. and d. Solve the inequality
4 27. Write an exponential function whose graph passes through (1, 15) and (2, 75). Short Answer 1. Tell whether the function represents exponential growth or exponential decay. Then graph the function. 2. Describe the transformation of f represented by g. Then graph each function. 3. ; 4. ; 5. Determine the type of function represented by the table. Explain your reasoning. x y A park ranger is studying the population of a bird species that nests within the park boundaries. The table shows the numbers y of birds nesting during the xth year since the study began. Write a function that models the data. Number of Year,x birds, y Other 1. The value of a home y (in thousands of dollars) can be approximated by the model, where t is the number of years since 2010.
5 a. Tell whether the model represents exponential growth or exponential decay. b. Identify the annual percent increase or decrease in the value of the home. c. Estimate the year when the value of the home will be $111,000.
6 Algebra 2 Ch6 Review - SHOW ALL WORK FOR FULL CREDIT Answer Section MULTIPLE CHOICE 1. ANS: D PTS: 1 DIF: Level 1 REF: Algebra 2 Sec. 6.2 NAT: HSF-IF.C.7e HSF-LE.B.5 KEY: simplifying natural base exponential expressions natural base exponential expression natural base e properties of exponents NOT: Example 1 2. ANS: D PTS: 1 DIF: Level 1 REF: Algebra 2 Sec. 6.2 NAT: HSF-IF.C.7e HSF-LE.B.5 KEY: simplifying natural base exponential expressions natural base exponential expression natural base e properties of exponents NOT: Example 1 3. ANS: A PTS: 1 DIF: Level 1 REF: Algebra 2 Sec. 6.2 NAT: HSF-IF.C.7e HSF-LE.B.5 KEY: simplifying natural base exponential expressions natural base exponential expression natural base e properties of exponents NOT: Example 1 4. ANS: C PTS: 1 DIF: Level 1 REF: Algebra 2 Sec. 6.4 NAT: HSF-BF.B.3 KEY: describing transformations of exponential functions transformation translation NOT: Application-1 5. ANS: B PTS: 1 DIF: Level 1 REF: Algebra 2 Sec. 6.1 NAT: HSF-IF.C.8b HSF-LE.A.2 HSF-LE.B.5 KEY: application exponential function compound interest NOT: Example 5 6. ANS: B PTS: 1 DIF: Level 1 REF: Algebra 2 Sec. 6.3 NAT: HSF-LE.A.4 KEY: rewriting exponential equations in logarithmic form 7. ANS: B PTS: 1 DIF: Level 1 REF: Algebra 2 Sec. 6.3 NAT: HSF-LE.A.4 KEY: rewriting exponential equations in logarithmic form 8. ANS: A PTS: 1 DIF: Level 1 REF: Algebra 2 Sec. 6.3 NAT: HSF-LE.A.4 KEY: evaluating logarithms logarithmic expression 9. ANS: C PTS: 1 DIF: Level 1 REF: Algebra 2 Sec. 6.3 NAT: HSF-LE.A.4 KEY: evaluating logarithms logarithmic expression 10. ANS: C PTS: 1 DIF: Level 1 REF: Algebra 2 Sec. 6.3 NAT: HSF-BF.B.4a HSF-LE.A.4 KEY: using inverse properties of logarithmic and exponential functions simplifying logarithmic expressions NOT: Example ANS: B PTS: 1 DIF: Level 1 REF: Algebra 2 Sec. 6.3 NAT: HSF-BF.B.4a HSF-LE.A.4 KEY: inverse functions finding inverse functions NOT: Example ANS: B PTS: 1 DIF: Level 1 REF: Algebra 2 Sec. 6.3 NAT: HSF-BF.B.4a HSF-LE.A.4 KEY: inverse functions finding inverse functions NOT: Example ANS: B PTS: 1 DIF: Level 2 REF: Algebra 2 Sec. 6.4
7 NAT: HSF-BF.B.3 KEY: writing transformations of logarithmic functions logarithmic function transformation NOT: Example ANS: D PTS: 1 DIF: Level 1 REF: Algebra 2 Sec. 6.5 NAT: HSA-SSE.A.2 KEY: properties of logarithms evaluating logarithms NOT: Example ANS: B PTS: 1 DIF: Level 1 REF: Algebra 2 Sec. 6.5 NAT: HSA-SSE.A.2 KEY: properties of logarithms evaluating logarithms NOT: Example ANS: C PTS: 1 DIF: Level 1 REF: Algebra 2 Sec. 6.5 NAT: HSA-SSE.A.2 KEY: properties of logarithms expanding logarithmic expressions 17. ANS: C PTS: 1 DIF: Level 1 REF: Algebra 2 Sec. 6.5 NAT: HSA-SSE.A.2 KEY: properties of logarithms expanding logarithmic expressions 18. ANS: D PTS: 1 DIF: Level 1 REF: Algebra 2 Sec. 6.5 NAT: HSA-SSE.A.2 KEY: properties of logarithms condensing logarithmic expressions 19. ANS: B PTS: 1 DIF: Level 1 REF: Algebra 2 Sec. 6.5 NAT: HSA-SSE.A.2 HSF-LE.A.4 KEY: change-of-base formula evaluating logarithms NOT: Examples 4 and ANS: C PTS: 1 DIF: Level 1 REF: Algebra 2 Sec. 6.6 NAT: HSA-REI.A.1 HSF-LE.A.4 KEY: exponential equations solving exponential equations NOT: Example ANS: A PTS: 1 DIF: Level 1 REF: Algebra 2 Sec. 6.6 NAT: HSA-REI.A.1 HSF-LE.A.4 KEY: logarithmic equations solving logarithmic equations 22. ANS: A PTS: 1 DIF: Level 1 REF: Algebra 2 Sec. 6.6 NAT: HSA-REI.A.1 HSF-LE.A.4 KEY: logarithmic equations solving logarithmic equations 23. ANS: D PTS: 1 DIF: Level 1 REF: Algebra 2 Sec. 6.6 NAT: HSA-REI.A.1 HSF-LE.A.4 KEY: logarithmic equations solving logarithmic equations NOT: Example ANS: A PTS: 1 DIF: Level 2 REF: Algebra 2 Sec. 6.6 NAT: HSA-REI.A.1 HSF-LE.A.4 KEY: exponential equations solving exponential equations ANS: A PTS: 1 DIF: Level 1 REF: Algebra 2 Sec. 6.6 NAT: HSA-REI.A.1 HSF-LE.A.4 KEY: solving exponential inequalities exponential inequality NOT: Example ANS: A PTS: 1 DIF: Level 2 REF: Algebra 2 Sec. 6.6 NAT: HSA-REI.A.1 HSF-LE.A.4 KEY: solving logarithmic inequalities logarithmic inequality NOT: Example ANS: C PTS: 1 DIF: Level 1 REF: Algebra 2 Sec. 6.7 NAT: HSA-CED.A.2 HSF-BF.A.1a HSF-LE.A.2 KEY: writing exponential functions using two points writing exponential functions exponential function
8 SHORT ANSWER 1. ANS: exponential growth y y =5 x x PTS: 1 DIF: Level 1 REF: Algebra 2 Sec. 6.1 NAT: HSF-IF.C.7e HSF-IF.C.8b KEY: exponential function exponential growth function graphing exponential growth functions graph of an exponential function NOT: Example 1 2. ANS: exponential growth y x y = ( 8 3 ) x PTS: 1 DIF: Level 1 REF: Algebra 2 Sec. 6.1 NAT: HSF-IF.C.7e HSF-IF.C.8b KEY: exponential function exponential growth function exponential decay function graphing exponential
9 growth and decay functions graph of an exponential function NOT: Example 1 3. ANS: The graph of g is a translation 5 units right of the graph of f. 6 y 4 2 f g x PTS: 1 DIF: Level 1 REF: Algebra 2 Sec. 6.4 NAT: HSF-IF.C.7e HSF-BF.B.3 KEY: describing transformations of exponential functions graphing exponential functions graph of an exponential function exponential function transformation translation NOT: Example 1 4. ANS: The graph of g is a horizontal shrink by a factor of followed by a translation 3 units up of the graph of f. 6 y 4 g x f PTS: 1 DIF: Level 1 REF: Algebra 2 Sec. 6.4 NAT: HSF-IF.C.7e HSF-BF.B.3 KEY: describing transformations of exponential functions graphing exponential functions graph of an
10 exponential function exponential function transformation translation 5. ANS: quadratic; The second differences are constant. PTS: 1 DIF: Level 1 REF: Algebra 2 Sec. 6.7 NAT: HSF-BF.A.1a KEY: classifying data sets NOT: Example 1 6. ANS: Sample answer: PTS: 1 DIF: Level 2 REF: Algebra 2 Sec. 6.7 NAT: HSA-CED.A.2 HSF-BF.A.1a HSF-LE.A.2 KEY: writing exponential functions application modeling data exponential function OTHER 1. ANS: a. exponential decay b. 5% decrease c PTS: 1 DIF: Level 1 REF: Algebra 2 Sec. 6.1 NAT: HSF-IF.C.8b HSF-LE.A.2 HSF-LE.B.5 KEY: application exponential function
Algebra 1 - Semester 2 Final Review
Name: ALG 1 SEM 2 FINAL REVIEW 1 Algebra 1 - Semester 2 Final Review 1. Graph the system of linear inequalities. y 2 y < 2x + 3 4. Graph the function. Compare the graph to the graph of f(x) = x. Describe
ALGEBRA 1 SYLLABUS Academic School-Year
ALGEBRA 1 SYLLABUS 018-019 Academic School-Year 1 st Marking Period Chapter 1: Solving Linear Equations (Test 1.1-1.5) 1.1 Solving Simple Equations (NJSLS-A-CED.A.1, NJSLS-A-REI.A.1, NJSLS-A-REI.B.3) 1.
Standards Overview. Algebra II Standards by Unit Standard Number. Major Standard. Wording of Standard
s Overview 2017-2018 Algebra II s by Unit Wording of N-RN.A.1 Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values,
Sec. 4.2 Logarithmic Functions
Sec. 4.2 Logarithmic Functions The Logarithmic Function with Base a has domain all positive real numbers and is defined by Where and is the inverse function of So and Logarithms are inverses of Exponential
Algebra 1 - Chapter 5 Test Review
Name: Period: Date: Algebra 1 - Chapter 5 Test Review Tell whether the ordered pair is a solution of the system of linear equations. 1. x y = 5 3x y = 11 Ê 2, 3 ˆ a. Yes b. No 2. y = 6x 8 y = 8x 12 Ê 1,
Exponential and Logarithmic Functions
Algebra II Unit 3 Exponential and Logarithmic Functions Last edit: 22 April 2015 UNDERSTANDING & OVERVIEW In this unit, students synthesize and generalize what they have learned about a variety of function
MAISA CCSS Mathematics Curriculum
A Correlation of Pearson Mathematics Common Core 2015 To the MAISA CCSS Mathematics Curriculum Algebra I Introduction Pearson, Geometry, Algebra 2 Common Core Edition 2015 is a rigorous, flexible, and
Unit 1: Foundations of Algebra
ALGEBRA I COURSE OVERVIEW Unit 1: Foundations of Algebra Unit Overview: Students will continue to increase their understanding of constants, variables, coefficients, and exponents to develop and interpret
Mathematics III Pacing for the PARCC Assessment
Mathematics III Pacing for the PARCC Assessment Lesson Chapter 1 Drawing Conclusions From Data 10 days 1-1 Analyzing Data N-Q.A.2, S-IC.B.6 LESSON LAB: An Introduction to Summation Notation Prepares for
Standards to Topics. Louisiana Student Standards for Mathematics Algebra I
Standards to Topics Louisiana Student Standards for Mathematics Algebra I A1.A-SSE.A.02 Use the structure of an expression to identify ways to rewrite it. For example, see x 4 y 4 as (x 2 ) 2 (y 2 ) 2,
PRECAL REVIEW DAY 11/14/17
PRECAL REVIEW DAY 11/14/17 COPY THE FOLLOWING INTO JOURNAL 1 of 3 Transformations of logs Vertical Transformation Horizontal Transformation g x = log b x + c g x = log b x c g x = log b (x + c) g x = log
HONORS ALGEBRA PACING GUIDE: 1 st Nine Weeks UNIT ONE: Quantities and Modeling Week Lesson Standards Learning Target. Other Materials/Projects
HONORS ALGEBRA PACING GUIDE: 1 st Nine Weeks UNIT ONE: Quantities and Modeling ONE TWO THREE 1.1-1.3: Quantitative Reasoning 2.1-2.2: Algebraic Models Goals Expectations Pre-Assessment A-REI.A.1 : Explain
Algebra Manhattan-Ogden USD 383 Math Year at a Glance Algebra 2
Algebra 2 Welcome to math curriculum design maps for Manhattan-Ogden USD 383, striving to produce learners who are: Effective Communicators who clearly express ideas and effectively communicate with diverse
Kentucky Tutorials are designed specifically for the Kentucky Academic Standards to prepare students for the K-PREP, EOC exams, ACT, and ACT Plan.
Tutorial Outline Kentucky Tutorials are designed specifically for the Kentucky Academic Standards to prepare students for the K-PREP, EOC exams, ACT, and ACT Plan. Math Tutorials offer targeted instruction,
Overview of Math Standards
Manhattan-Ogden USD 383 Math Year at a Glance Algebra 2 Algebra 2 Welcome to math curriculum design maps for Manhattan- Ogden USD 383, striving to produce learners who are: Effective Communicators who
Kentucky Tutorials are designed specifically for the Kentucky Academic Standards to prepare students for the K-PREP, EOC exams, ACT, and ACT Plan.
Tutorial Outline Kentucky Tutorials are designed specifically for the Kentucky Academic Standards to prepare students for the K-PREP, EOC exams, ACT, and ACT Plan. Math Tutorials offer targeted instruction,
Algebra II A Mathematics Pacing Guide
- Look for and make sense of structure. - Attend to precision. Algebra II A Mathematics Pacing Guide Unit 1: Pre-Assessment and Review(Functions, Linear Functions, Exponents) Chapter 1 Sections: 1.5, 1.6,
Time Interval/ Content. Standards/ Strands Essential Questions Skills Assessment. Unit 1: Quadratic Functions
WDHS Curriculum Map: created by Charisse Arra, Jackie Falcone, and Andrea Kappre Course: Algebra 2 and Advanced Algebra 2 and Honors Algebra 2 July 2015 Time Interval/ Content Standards/ Strands Essential
Algebra 1, Absolute Value Functions Review
Name: Class: Date: ID: A Algebra 1, Absolute Value Functions Review 3.7.1: I can solve absolute value equations. 1. (1 point) x + 10 = 1 2. (1 point) Starting from 1.5 miles away, a car drives towards
8.1 Apply Exponent Properties Involving Products. Learning Outcome To use properties of exponents involving products
8.1 Apply Exponent Properties Involving Products Learning Outcome To use properties of exponents involving products Product of Powers Property Let a be a real number, and let m and n be positive integers.
Houghton Mifflin Harcourt Algebra II 2015 correlated to the New York State Common Core Learning Standards for Mathematics Algebra II
Houghton Mifflin Harcourt Algebra II 2015 correlated to the New York State Common Core Learning Standards for Mathematics Algebra II Standards for Mathematical Practice SMP.1 Make sense of problems and
Washington Island School Grade Level: Subject: Advanced Algebra Curriculum Map Date Approved: Teacher: Daniel Jaeger
Washington Island School Grade Level: 10-12 Subject: Advanced Algebra Curriculum Map Date Approved: Teacher: Daniel Jaeger Course Description and Core Principles: Advanced Algebra is designed to build
Sequenced Units for Arizona s College and Career Ready Standards MA27 Algebra I
Sequenced Units for Arizona s College and Career Ready Standards MA27 Algebra I Year at a Glance Semester 1 Semester 2 Unit 1: Solving Linear Equations (12 days) Unit 2: Solving Linear Inequalities (12
An equation of the form y = ab x where a 0 and the base b is a positive. x-axis (equation: y = 0) set of all real numbers
Algebra 2 Notes Section 7.1: Graph Exponential Growth Functions Objective(s): To graph and use exponential growth functions. Vocabulary: I. Exponential Function: An equation of the form y = ab x where
Chapters 1 and 2 Test
Class: Date: Chapters 1 and 2 Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. 2r 9 6 Solve the inequality. Graph the solution set. a. r 1 1 2 c. r
Algebra II Guide to Rigor in Mathematics 2.0
in Mathematics 2.0 In order to provide a quality mathematical education for students, instruction must be rigorous, focused, and coherent. This document provides explanations and a standards-based alignment
Table of Contents [N-Q.A.1, A-SSE.A.1, A-CED.A.1, A-REI.B.3] Lesson 12 Creating Equations and Inequalities in Two Variables
![Table of Contents [N-Q.A.1, A-SSE.A.1, A-CED.A.1, A-REI.B.3] Lesson 12 Creating Equations and Inequalities in Two Variables](/thumbs/88/115993853.jpg "Table of Contents [N-Q.A.1, A-SSE.A.1, A-CED.A.1, A-REI.B.3] Lesson 12 Creating Equations and Inequalities in Two Variables")
Table of Contents Introduction to New York State Finish Line Algebra I...5 MODULE 1 Relationships Between Quantities and Reasoning with Equations Lesson 1 Reasoning Quantitatively [N-Q.A.1, N-Q.A.2, N-Q.A.3,
Semester 1: Units 1 4 Semester 2 Units 5-9
Semester 1: Units 1 4 Semester 2 Units 5-9 Unit 1: Quadratic relations and equations This unit extends students previous work with quadratic relations and equations. In the context of quadratics, students
Algebra I. Algebra I Guide to Rigor
Code A1: N-RN.B.3 A1: N-Q.A.1 Standard LSSM Algebra I Algebra I Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational;
Algebra 1 First Semester Exam Answer Section
Algebra 1 First Semester Exam Answer Section MULTIPLE CHOICE 1. ANS: D PTS: 1 DIF: Level B REF: MALG0086 TOP: Lesson 1.2 Apply Order of Operations KEY: whole variable evaluate substitute rational expression
Ganado High School Mathematics Department Algebra II PACING Guide SY
Timeline & Resources 1 st Quarter Unit 1 AZ College and Career Readiness Standard HS.F.IF.7 Graph functions expressed technology for more complicated cases.* Essential Question (HESS Matrix) How do you
CCSS TRADITIONAL PATHWAY ALGEBRA I CONTENT MAP
Unit 1: Relationships Between Quantities and Reasoning with Equations 1 CCSS TRADITIONAL PATHWAY ALGEBRA I CONTENT MAP Interpreting Structure in Expressions 1.1.1 Identifying Terms, Factors, and Coefficients
Correlation of Common Core Content Standards to CMP3 Content As Identified by PARCC. Number Standard for Mathematical Content CMP3 Unit: Investigation
Correlation of Common Core Content Standards to CMP3 Content As Identified by PARCC 8.NS.A Know that there are numbers that are not rational, and approximate them by rational numbers. 8.NS.A.1 Understand
ALGEBRA 2 FINAL EXAM REVIEW
Class: Date: ALGEBRA 2 FINAL EXAM REVIEW Multiple Choice Identify the choice that best completes the statement or answers the question.. Classify 6x 5 + x + x 2 + by degree. quintic c. quartic cubic d.
Chapter 5 Practice Test Name: Period: Date:
Chapter Practice Test Name: Period: Date:. Tell whether the ordered pair is a solution of the sstem of linear equations. a. Yes b. No Solve the sstem of linear equations. Check our solution.. = x 8 = x
Algebra 3-4 Honors PUHSD Curriculum. PARCC MODEL CONTENT FRAMEWORK FOR ALGEBRA 3-4 Honors
PARCC MODEL CONTENT FRAMEWORK FOR ALGEBRA 3-4 Honors Building on their work in Algebra I with linear and quadratic functions, students in Algebra II expand their repertoire by working with rational and
Algebra 2 Summer Math Answer Section
Algebra 2 Summer Math Answer Section 1. ANS: A PTS: 1 DIF: Level B REF: MALG0064 STA: SC.HSCS.MTH.00.AL1.A1.I.C.4 TOP: Lesson 1.1 Evaluate Expressions KEY: word volume cube area solid 2. ANS: C PTS: 1
Integrated Mathematics 3 Kentucky
Tutorial Outline Kentucky Tutorials are designed specifically for the Kentucky Academic Standards to prepare students for the K-PREP, EOC exams, ACT, and ACT Plan. Math Tutorials offer targeted instruction,
Common Core State Standards for Mathematical Content
Common Core State Standards for Mathematical Content The following shows the High School Standards for Mathematical Content that are taught in Pearson Algebra 1 Common Core Edition 2015. Included are all
Math Algebra I. PLD Standard Minimally Proficient Partially Proficient Proficient Highly Proficient. student
PLD Standard Minimally Proficient Partially Proficient Proficient Highly Proficient The Minimally Proficient student The Partially Proficient student The Proficient student The Highly Proficient student
Chapter 3 Exponential and Logarithmic Functions
Chapter 3 Exponential and Logarithmic Functions Overview: 3.1 Exponential Functions and Their Graphs 3.2 Logarithmic Functions and Their Graphs 3.3 Properties of Logarithms 3.4 Solving Exponential and
West Windsor-Plainsboro Regional School District Advanced Algebra II Grades 10-12
West Windsor-Plainsboro Regional School District Advanced Algebra II Grades 10-12 Page 1 of 23 Unit 1: Linear Equations & Functions (Chapter 2) Content Area: Mathematics Course & Grade Level: Advanced
Algebra I Illinois 1. REAL NUMBER SYSTEM. Tutorial Outline
Tutorial Outline Apex Learning Tutorials provide teachers with a solution to support all students in rising to the expectations established by Illinois Learning Standards (ILS). Tutorials offer direct
Algebra II Illinois 1. EXPRESSIONS, EQUATIONS, AND INEQUALITIES. Tutorial Outline
Tutorial Outline Apex Learning Tutorials provide teachers with a solution to support all students in rising to the expectations established by Illinois Learning Standards (ILS). Tutorials offer direct
Exponential Growth and Decay Functions (Exponent of t) Read 6.1 Examples 1-3
CC Algebra II HW #42 Name Period Row Date Section 6.1 1. Vocabulary In the eponential growth model Eponential Growth and Decay Functions (Eponent of t) Read 6.1 Eamples 1-3 y = 2.4(1.5), identify the initial
Algebra II Washington
Tutorial Outline Washington Tutorials are designed specifically for the Washington State Learning Standards to prepare students for the Smarter Balanced Assessment Consortium (SBAC) exams and End-of-Course
Concept Category 2. Exponential and Log Functions
Concept Category 2 Exponential and Log Functions Concept Category 2 Check List *Find the inverse and composition of functions *Identify an exponential from a table, graph and equation *Identify the difference
Chapter 3 Exponential and Logarithmic Functions
Chapter 3 Exponential and Logarithmic Functions Overview: 3.1 Exponential Functions and Their Graphs 3.2 Logarithmic Functions and Their Graphs 3.3 Properties of Logarithms 3.4 Solving Exponential and
Algebra I 1. REAL NUMBER SYSTEM 2. EQUATIONS AND INEQUALITIES. Tutorial Outline
Tutorial Outline Math Tutorials offer targeted instruction, practice and review designed to develop computational fluency, deepen conceptual understanding, and apply mathematical practices. They automatically
2015 2nd Semester Exam Review
Algebra 2 2015 2nd Semester Exam Review 1. Write a function whose graph is a translation of the graph of the function in two directions. Describe the translation. 2. What are the solutions to the equation?
West Windsor-Plainsboro Regional School District Algebra II Grades 9-12
West Windsor-Plainsboro Regional School District Algebra II Grades 9-12 Page 1 of 22 Content Area: Mathematics Course & Grade Level: Algebra II, 9 12 Unit 1: Analyzing Equations (Chapter 1) Summary and
Sequence of Algebra 1 Units Aligned with the California Standards
Sequence of Algebra 1 Units Aligned with the California Standards Year at a Glance Unit Big Ideas Math Algebra 1 Textbook Chapters Dates 1. Equations and Inequalities Ch. 1 Solving Linear Equations MS
PARCC MODEL CONTENT FRAMEWORK FOR MATHEMATICS. Algebra I Overview FOR ALGEBRA I
PARCC MODEL CONTENT FRAMEWORK FOR MATHEMATICS FOR ALGEBRA I Algebra I Overview Numerals in parentheses designate individual content standards that are eligible for assessment in whole or in part. Underlined
Algebra I Washington 1. REAL NUMBER SYSTEM 2. EQUATIONS AND INEQUALITIES. Tutorial Outline
Tutorial Outline Washington Tutorials are designed specifically for the Washington State Learning Standards to prepare students for the Smarter Balanced Assessment Consortium (SBAC) exams and End-of-Course
Chapter 3 Algebra (pearson)
Class: Date: Chapter 3 Algebra (pearson) What inequality represents the verbal expression? 1. 8 less than a number n is less than 13 a. 8 n < 13 c. n 8 < 13 b. 13 8 < n d. 13 < 8 n Which number is a solution
Common Core State Standards for Mathematics High School
Using the Program for Success Common Core State Standards for Mathematics High School The following shows the High School Standards for Mathematical Content that are taught in Pearson Algebra 2 Common
Common Core State Standards: Algebra 1
Common Core State Standards: Number and Quantity Standards The Real Number System Extend the properties of exponents to rational exponents. N-RN.1 Explain how the definition of the meaning of rational
RPS SECONDARY MATH CURRICULUM. Unit 4 - Polynomials
Unit 4 - Polynomials 4 weeks Overview: By introducing the basic concept of complex number, the form of complex numbers and basic operations with complex numbers, Unit 4 starts to lay the foundation for
Integrated Mathematics 2 Kentucky
Tutorial Outline Kentucky Tutorials are designed specifically for the Kentucky Academic Standards to prepare students for the K-PREP, EOC exams, ACT, and ACT Plan. Math Tutorials offer targeted instruction,
Exponential and Logarithmic Functions. 3. Pg #17-57 column; column and (need graph paper)
Algebra 2/Trig Unit 6 Notes Packet Name: Period: # Exponential and Logarithmic Functions 1. Worksheet 2. Worksheet 3. Pg 483-484 #17-57 column; 61-73 column and 76-77 (need graph paper) 4. Pg 483-484 #20-60
New York Tutorials are designed specifically for the New York State Learning Standards to prepare your students for the Regents and state exams.
Tutorial Outline New York Tutorials are designed specifically for the New York State Learning Standards to prepare your students for the Regents and state exams. Math Tutorials offer targeted instruction,
Review Algebra Test
Name: Class: Date: Review Algebra Test.4-2.3 Multiple Choice Identify the choice that best completes the statement or answers the question. Solve the equation.. 5y 9 (y ) a. 2 b. 2 2 c. 2 d. 2 5 Use an
Algebra I New Jersey 1. REAL NUMBER SYSTEM 2. EQUATIONS AND INEQUALITIES. Tutorial Outline
Tutorial Outline New Jersey Tutorials are designed specifically for the New Jersey Core Curriculum Content Standards to prepare students for the PARCC assessments, the New Jersey Biology Competency Test
Sequenced Units for Arizona s College and Career Ready Standards MA40 Algebra II
Sequenced Units for Arizona s College and Career Ready Standards MA40 Algebra II Year at a Glance Semester 1 Semester 2 Unit 1: Linear Functions (10 days) Unit 2: Quadratic Functions (10 days) Unit 3:
CREDIT RECOVERY PLAN. Grades 3 Geometry
Grades 3 Geometry CREDIT RECOVERY PLAN Imagine Math is now available to utilize for Algebra 1 and Geometry credit recovery for your students. The program is simple to implement and monitor. Students will
ALGEBRA I. 2. Rewrite expressions involving radicals and rational exponents using the properties of exponents. (N-RN2)
ALGEBRA I The Algebra I course builds on foundational mathematical content learned by students in Grades K-8 by expanding mathematics understanding to provide students with a strong mathematics education.
RPS SECONDARY MATH CURRICULUM. Unit 5 - Polynomials
Unit 5 - Polynomials 4 weeks Overview: By introducing the basic concept of complex number, the form of complex numbers and basic operations with complex numbers, Unit 5 starts to lay the foundation for
Sequence of Algebra AB SDC Units Aligned with the California Standards
Sequence of Algebra AB SDC Units Aligned with the California Standards Year at a Glance Unit Big Ideas Math Algebra 1 Textbook Chapters Dates 1. Equations and Inequalities Ch. 1 Solving Linear Equations
Integrated Math, Semester A
Teacher s Guide World History Before 1815 PLATO Course Teacher s Guide 2013 EDMENTUM, INC. Contents Course Components... 3, Overview... 5, Curriculum Contents and Pacing Guide... 6 2 Course Components
Materials: Hw #9-6 answers handout; Do Now and answers overhead; Special note-taking template; Pair Work and answers overhead; hw #9-7
Pre-AP Algebra 2 Unit 9 - Lesson 7 Compound Interest and the Number e Objectives: Students will be able to calculate compounded and continuously compounded interest. Students know that e is an irrational
Unit 1 Study Guide Answers. 1a. Domain: 2, -3 Range: -3, 4, -4, 0 Inverse: {(-3,2), (4, -3), (-4, 2), (0, -3)}
Unit 1 Study Guide Answers 1a. Domain: 2, -3 Range: -3, 4, -4, 0 Inverse: {(-3,2), (4, -3), (-4, 2), (0, -3)} 1b. x 2-3 2-3 y -3 4-4 0 1c. no 2a. y = x 2b. y = mx+ b 2c. 2e. 2d. all real numbers 2f. yes
West Iron County Middle & High School Curriculum Map
West Iron County Middle & High School Curriculum Map Mathematics Algebra 1 Updated 2018-2019 Based on the State Standards This page intentionally left blank. Preface This curriculum map is aligned to the
Logarithmic and Exponential Equations and Inequalities College Costs
Logarithmic and Exponential Equations and Inequalities ACTIVITY 2.6 SUGGESTED LEARNING STRATEGIES: Summarize/ Paraphrase/Retell, Create Representations Wesley is researching college costs. He is considering
Curriculum Mapping 3/28/2013
Curriculum Mapping Curriculum Map: 2012 2013 Mathematics State Standards Algebra 1 Q1 (8/14/2012-10/12/2012) Chapter 1: Expressions, Equations, and Functions N-Q - Quantities Reason quantitatively and
8-1 Exploring Exponential Models
8- Eploring Eponential Models Eponential Function A function with the general form, where is a real number, a 0, b > 0 and b. Eample: y = 4() Growth Factor When b >, b is the growth factor Eample: y =
Throughout Algebra I, students should continue to develop proficiency with the Common Core's eight Standards for Mathematical Practice:
In the three years prior to Algebra I, students have already begun their study of algebraic concepts. They have investigated variables and expressions, solved equations, constructed and analyzed tables,
Guide Assessment Structure Algebra I
Guide Assessment Structure Algebra I The Common Core State Standards for Mathematics are organized into Content Standards which define what students should understand and be able to do. Related standards
ALGEBRA 1 - SJPS Curriculum
ALGEBRA 1 - SJPS Curriculum Year at a Glance (2013-2014) Name of Unit Learning Goals Knowledge & Skills UNIT 1: Relationships Between Quantities and Reasoning with Equations (35 days?) UNIT 2: Linear and
Algebra 1 Chapter 3 Practice Test
Name: Class: Date: ID: A Algebra 1 Chapter 3 Practice Test Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. Which number is a solution of the
Sequenced Units for the Common Core State Standards in Mathematics High School Algebra II
Algebra II extends the knowledge students have of algebraic and statistical concepts. They have investigated linear, exponential, and quadratic functions in previous years. Algebra II further develops
Algebra 2 Chapter 6 and 7 Test Review (part 1)
Name: Class: Date: Algebra 2 Chapter 6 and 7 Test Review (part ). Find the annual percent increase or decrease that y = 0.35(2.3) x models. a. 230% increase c. 35% decrease b. 35% increase d. 65% decrease
Algebra I Florida 1. REAL NUMBER SYSTEM. Tutorial Outline
Tutorial Outline Florida Tutorials are designed specifically for the New Florida Standards for Math and English Language Arts and the Next Generation Sunshine State Standards (NGSSS) for science and social
Say it with Symbols - Unit Test Review Shet
Name: Class: Date: ID: A Say it with Symbols - Unit Test Review Shet Short Answer 1. What does it mean to say that two algebraic expressions are equivalent? Evaluate the expression for the given value
#2. Be able to identify what an exponential decay equation/function looks like.
1 Pre-AP Algebra II Chapter 7 Test Review Standards/Goals: G.2.a.: I can graph exponential and logarithmic functions with and without technology. G.2.b.: I can convert exponential equations to logarithmic
EXAM 3 Tuesday, March 18, 2003
MATH 12001 Precalculus: Algebra & Trigonometry Spring 2003 Sections 2 & 3 Darci L. Kracht Name: Score: /100. 115 pts available EXAM 3 Tuesday, March 18, 2003 Part I: NO CALCULATORS. (You must turn this
Concept Category 2. Exponential and Log Functions
Concept Category 2 Exponential and Log Functions Concept Category 2 Check List *Find the inverse and composition of functions *Identify an exponential from a table, graph and equation *Identify the difference
Correlation to the Common Core State Standards for Integrated Mathematics Mathematics 2. Houghton Mifflin Harcourt Intergrated Math
Correlation to the Common Core State Standards for Integrated Mathematics Mathematics 2 Houghton Mifflin Harcourt Intergrated Math 2 2015 Houghton Mifflin Harcourt Integrated Math II 2015 correlated to
The units on the average rate of change in this situation are. change, and we would expect the graph to be. ab where a 0 and b 0.
Lesson 9: Exponential Functions Outline Objectives: I can analyze and interpret the behavior of exponential functions. I can solve exponential equations analytically and graphically. I can determine the
Correlation to the Common Core State Standards for Mathematics Algebra 2. Houghton Mifflin Harcourt Algerbra
Correlation to the Common Core State Standards for Mathematics Algebra 2 Houghton Mifflin Harcourt Algerbra 2 2015 Houghton Mifflin Harcourt Algebra II 2015 correlated to the Common Core State Standards
Algebra I. Time Frame Standard Resources Notes. Page 1 of 22
Page 1 of 22 Module 1 4. Use units as a way to understand problems and to guide the solution of multistep problems; choose and interpret units consistently in formulas; choose and interpret the scale and
Algebra 2 CP. June 2015 Final Exam REVIEW. Exam Date: Time: Room:
June 2015 Final Exam REVIEW Student s Name: Teacher s Name: Exam Date: Time: Room: The Algebra 2 exam will consist of approximately 55 multiple choice questions, each worth the same number of points. The
Pacing (based on a 45- minute class period) Days: 17 days
Days: 17 days Math Algebra 1 SpringBoard Unit 1: Equations and Inequalities Essential Question: How can you represent patterns from everyday life by using tables, expressions, and graphs? How can you write
FLC Ch 9. Ex 2 Graph each function. Label at least 3 points and include any pertinent information (e.g. asymptotes). a) (# 14) b) (# 18) c) (# 24)
Math 5 Trigonometry Sec 9.: Exponential Functions Properties of Exponents a = b > 0, b the following statements are true: b x is a unique real number for all real numbers x f(x) = b x is a function with
MCR3U - Exam Review. Multiple Choice Identify the choice that best completes the statement or answers the question.
MCR3U - Exam Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which of the following relations is not a function? 2. Which graph is not a function?
Sequenced Units for the Common Core State Standards in Mathematics High School Algebra I
In the three years prior to Algebra I, students have already begun their study of algebraic concepts. They have investigated variables and expressions, solved equations, constructed and analyzed tables,
MA.8.1 Students will apply properties of the real number system to simplify algebraic expressions and solve linear equations.
Focus Statement: Students will solve multi-step linear, quadratic, and compound equations and inequalities using the algebraic properties of the real number system. They will also graph linear and quadratic
Integrated Mathematics 3 Washington
Tutorial Outline Washington Tutorials are designed specifically for the Washington State Learning Standards to prepare students for the Smarter Balanced Assessment Consortium (SBAC) exams and End-of-Course
( ) = 2 x + 3 B. f ( x) = x 2 25
PRACTICE - Algebra Final Exam (Semester 1) - PRACTICE 1. Which function contains only a vertical translation? A. f x ( ) = x + 3 B. f ( x) = x 5 C. f ( x) = 1( x 9) D. f ( x) = x + 4. Which function is
Algebra 1a Final Exam Review
Algebra 1a Final Exam 2016-2017 Review Short Answer Graph the inequality. 1. x < 1 2. Solve the inequality. Then graph your solution. 3. 4. 5. 5 8 v < 7 5 6. 7. 8. 10 < 3x 7 < 17 9. Solve the inequality.
ALGEBRA II TEACHER S GUIDE
TABLE OF CONTENTS About This Guide... 6 Summary of Algebra II Mathematics Content... 7 Critical Area 1... 7 Critical Area 2... 7 Critical Area 3... 7 Critical Area 4... 8 Standards for Mathematical Practice