# Cold War, Soviet Science Marxism, and Quantum Controversy

Published by

### thueh

- revision

- time of the dissolution
- supporters of complementarity
- quantum controversy
- inclusion of observation conditions into the quantum phenomena
- causal interpretation
- complementarity
- role
- physics
- time

Published :
Wednesday, March 28, 2012

Reading/s :
35

Origin :
houstonisd.org

Number of pages:
3

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PRECALCULUS HISD Curriculum:Unit Framework Unit Framework / User InformationGrading CycleInstructional DaysRecommended Time Allocation 25 Days2 4 Six or 2ndWeeks(Oct. 3 – Nov. 4, 2011)90minute lessons45minute lessons Unit 2.1 Overview Inverse of the Trigonometric Functions Students graphically, tabularly, and algebraically analyze the inverse of the trigonometric functions Outline of Unit(s) in the Six Weeks •Unit 2.1 Inverse of the Trigonometric Functions [ this unit ]Îlink to Unit Planning Guide and supporting materials•Unit 2.2 Trigonometric Identities and Solving Trigonometric Equations •Unit 2.3 Applications of Trigonometric Functions Essential Understandings •The inverse of a trigonometric function can be analyzed graphically, tabularly, and algebraically. Key Concepts •angle•measurement•trigonometric function •conversion•right triangle•unit circle •inverse Academic VocabularyContentSpecific Vocabulary •investigate•rubric•composition•inverse of a function •representation•statplot•domain•range •function•transformation HISD Objectives / TEKS ÊPC.1B Determine the domain and range of functions using graphs, tables, and symbols, and relate to real world applications. ÊPC.2A Apply basic transformations, includinga f(x),f(x)+d,f(xc),f(b x), and compositions with absolute value functions, including |f(x)|, andf(|x|), to the parent functions. ÊPC.2B Perform operations including composition on functions, find inverses, and describe these procedures and results verbally, numerically, symbolically, and graphically. PC.3A Investigate properties of trigonometric and polynomial functions as graphs, tables, and symbolic representations.Performance Expectation(s) At the end of this bundle of mathematical objectives, students will demonstrate graphically, algebraically, verbally or technologically the relationship between trigonometric functions and their inverses, and model situations under which domain constrains will create inverse function. Texas English Language Proficiency Assessment System(TELPAS): End of year assessment in Listening, Speaking, Reading, and Writing for all students coded as LEP (ELL) and students who are LEP but have Parental Denials for Language Support Programming (coded WH).For the Writing TELPAS, teachers provide 5 writing samples (1 narrative about a past event, 2 academic {Science, Social Studies, Mathematics}, and 2 other).

© Houston ISD Curriculum English Language Proficiency Standards (ELPS) Aligned Readiness Literacy Leads the Way Best Practices Process Standards 2011 – 2012 Ⓟ HISD Power ObjectiveⓇ STAAR Readiness StandardsⓈ-STAAR Supporting StandardsⓉ TAKS Tested ObjectivePage 1 of 3

PRECALCULUS HISD Curriculum:Unit Framework Grading CycleInstructional DaysRecommended Time Allocation 25 Days6 12 Six or 2ndWeeksOct. 3 – Nov. 4, 201190minute lessons45minute lessons Unit 2.2 Overview Trigonometric Identities and Solving Trigonometric Equations Students convert and study trigonometric functions and identities to solve trigonometric equations. Outline of Unit(s) in the Six Weeks •Unit 2.1 Inverse of the Trigonometric Functions •Unit 2.2 Trigonometric Identities and Solving Trigonometric Equations[ this unit ]Îlink to Unit Planning Guide and supporting materials•Unit 2.3 Applications of Trigonometric Functions Essential Understandings •Connections to the graphs of trigonometric functions are used in establishing trigonometric identities. •Trigonometric identities can be applied to solving trigonometric equations. Key Concepts •Connection•Equation•Trigonometric function •Domain•Range•Trigonometric identity Academic VocabularyContentSpecific Vocabulary •investigate•representation•cofunction identities•pythagorean identities •essential and•verify•doubleangle and half•quotient identities nonessential angleidentities•reciprocal identities characteristics•evenodd identities•sum and difference •identitiesproducttosum and sum toproduct identities HISD Objectives / TEKS ÊPC.2C Investigate identities graphically and verify them symbolically, including logarithmic properties, trigonometric identities, and exponential properties.ÊPC.3D Use properties of functions to analyze and solve problems and make predictions of graphs, tables, verbal and symbolic representations of realworld applications.PC.3E Solve problems from physical situations using trigonometry, including the use of Law of Sines, Law of Cosines, and area formulas and incorporate radian measure where needed.Performance Expectation(s) •By the end of this unit, students will use properties of trigonometric functions, demonstrate or verify trigonometric identities such as quotient, reciprocal, and Pythagorean identities and communicate mathematical ideas using graphical, numerical, physical, or algebraic models.. •By the end of this unit, students will investigate trigonometric identities graphically and verify them symbolically and use those identities to solve trigonometric equations and compare and contrast solving a trigonometric equation to solving other equations such linear, polynomial, exponential, or logarithmic.Texas English Language Proficiency Assessment System(TELPAS): End of year assessment in Listening, Speaking, Reading, and Writing for all students coded as LEP (ELL) and students who are LEP but have Parental Denials for Language Support Programming (coded WH).For the Writing TELPAS, teachers provide 5 writing samples (1 narrative about a past event, 2 academic {Science, Social Studies, Mathematics}, and 2 other). © Houston ISD Curriculum Literacy Leads the Way Best Practices English Language Proficiency Standards (ELPS) Aligned Readiness Process Standards 2011 – 2012 Ⓟ HISD Power ObjectiveⓇ STAAR Readiness StandardsⓈ-STAAR Supporting StandardsⓉ TAKS Tested ObjectivePage 2 of 3

PRECALCULUS HISD Curriculum:Unit Framework Grading CycleInstructional DaysRecommended Time Allocation 25 Days2 4 Six 2ndWeeksor Oct. 3 – Nov. 4, 201190minute lessons45minute lessons Unit 2.3 Overview Applications of Trigonometric Functions Students apply and analyze trigonometric functions to solve realworld problems. Outline of Unit(s) in the Six Weeks •Unit 2.1 Inverse of the Trigonometric Functions •Unit 2.2 Trigonometric Identities and Solving Trigonometric Equations •Unit 2.3 Applications of Trigonometric Functions [ this unit ]Îlink to Unit Planning Guide and supporting materialsEssential Understandings •Solving realworld problems using the Law of Sines and the Law of Cosines can be connected to triangle congruence postulates and theorems. Key Concepts •law of cosines•harmonic motion•triangle congruence •law of sines•realworld problems•trigonometric function Academic VocabularyContentSpecific Vocabulary •area•representation•harmonic motion•law of cosines •law of sines HISD Objectives / TEKS PC.3B Use and analyze functions such as logarithmic, exponential, trigonometric, polynomial, etc. to model reallife data.ÊPC.3D Use properties of functions to analyze and solve problems and make predictions of graphs, tables, verbal and symbolic representations of realworld applications.PC.3E Solve problems from physical situations using trigonometry, including the use of Law of Sines, Law of Cosines, and area formulas and incorporate radian measure where needed.PC(8.14A) Identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics. Performance Expectation(s) By the end of this unit, students will analyze trigonometric functions and use the Law of Sines and the Law of Cosines to solve real –world problems and connect those laws to triangle congruence postulates and theorems.Texas English Language Proficiency Assessment System(TELPAS): End of year assessment in Listening, Speaking, Reading, and Writing for all students coded as LEP (ELL) and students who are LEP but have Parental Denials for Language Support Programming (coded WH).For the Writing TELPAS, teachers provide 5 writing samples (1 narrative about a past event, 2 academic {Science, Social Studies, Mathematics}, and 2 other).

© Houston ISD Curriculum Aligned Readiness Literacy Leads the Way Best Practices English Language Proficiency Standards (ELPS) Process Standards 2011 – 2012 Ⓟ HISD Power ObjectiveⓇ STAAR Readiness StandardsⓈ-STAAR Supporting StandardsⓉ TAKS Tested ObjectivePage 3 of 3

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