Course Description

Math Analysis

337

MATH ANALYSIS

Course Rationale Virtually everyone uses or consumes statistical material every day and most people do so without training in the proper use or potential abuse of statistical information This course is designed as a general-purpose introduction to the field of statistics and probability Students will need a working knowledge of algebra in order to successfully solve the problems in this course The primary objective of this course is to enable students to be wiser users and more critical consumers of statistical material Course Description The primary goal of this course is to enhance statistical literacy This includes mathematical formulas and arithmetic computation logical reasoning and problem solving abilities and terminology and vocabulary acquisition This course uses a non-theoretical approach in which concepts are explained intuitively and supported by examples

338

Resources Adopted Text __________________________________________________________________________ Websites wwwanalyzemathcom wwwcalculusnet httpchortleccsuedu wwwcoolmathcom wwwdesemogov Classroom Assessment Item Bank httpwwwedhelpercom httpilluminationsnctmorg wwwlangarabcca wwwmathcompracticeAlgebrahtml httpmathforumorgmathtoolssitemaphtml wwwmathmitedu wwwmathuriedu wwwmsteuiucedu wwwnytimescomlearningteacherslessonsarchivehtml wwwpurplemathcom wwwregentpreporg httpscorekingsk12causlessonshtml wwwseattlecentraledu wwwshodororginteractivate wwwstatstandordedu wwwsuccesslinkorg httpteacherlinkorg wwwworldwebdynamicscom Additional Assessment Problems httpwwwstfxcaspecialmathproblemsgrade11html

Abbreviations

Subjects GLE Grade Level Expectations BT Bloomrsquos Taxonomy

CA Communication Arts Math Strands K Knowledge

MA Mathematics NO Number and Operations C Comprehension

SC Science AR Algebraic Relationships Ap Application

SS Social Studies GSR Geometric Spatial Relationships An Analysis

M Measurements S Synthesis

DP Data and Probability E Evaluation

337

MATH ANALYSIS

Course Rationale Virtually everyone uses or consumes statistical material every day and most people do so without training in the proper use or potential abuse of statistical information This course is designed as a general-purpose introduction to the field of statistics and probability Students will need a working knowledge of algebra in order to successfully solve the problems in this course The primary objective of this course is to enable students to be wiser users and more critical consumers of statistical material Course Description The primary goal of this course is to enhance statistical literacy This includes mathematical formulas and arithmetic computation logical reasoning and problem solving abilities and terminology and vocabulary acquisition This course uses a non-theoretical approach in which concepts are explained intuitively and supported by examples

338

Resources Adopted Text __________________________________________________________________________ Websites wwwanalyzemathcom wwwcalculusnet httpchortleccsuedu wwwcoolmathcom wwwdesemogov Classroom Assessment Item Bank httpwwwedhelpercom httpilluminationsnctmorg wwwlangarabcca wwwmathcompracticeAlgebrahtml httpmathforumorgmathtoolssitemaphtml wwwmathmitedu wwwmathuriedu wwwmsteuiucedu wwwnytimescomlearningteacherslessonsarchivehtml wwwpurplemathcom wwwregentpreporg httpscorekingsk12causlessonshtml wwwseattlecentraledu wwwshodororginteractivate wwwstatstandordedu wwwsuccesslinkorg httpteacherlinkorg wwwworldwebdynamicscom Additional Assessment Problems httpwwwstfxcaspecialmathproblemsgrade11html

Abbreviations

Subjects GLE Grade Level Expectations BT Bloomrsquos Taxonomy

CA Communication Arts Math Strands K Knowledge

MA Mathematics NO Number and Operations C Comprehension

SC Science AR Algebraic Relationships Ap Application

SS Social Studies GSR Geometric Spatial Relationships An Analysis

M Measurements S Synthesis

DP Data and Probability E Evaluation

338

Resources Adopted Text __________________________________________________________________________ Websites wwwanalyzemathcom wwwcalculusnet httpchortleccsuedu wwwcoolmathcom wwwdesemogov Classroom Assessment Item Bank httpwwwedhelpercom httpilluminationsnctmorg wwwlangarabcca wwwmathcompracticeAlgebrahtml httpmathforumorgmathtoolssitemaphtml wwwmathmitedu wwwmathuriedu wwwmsteuiucedu wwwnytimescomlearningteacherslessonsarchivehtml wwwpurplemathcom wwwregentpreporg httpscorekingsk12causlessonshtml wwwseattlecentraledu wwwshodororginteractivate wwwstatstandordedu wwwsuccesslinkorg httpteacherlinkorg wwwworldwebdynamicscom Additional Assessment Problems httpwwwstfxcaspecialmathproblemsgrade11html

Abbreviations

Subjects GLE Grade Level Expectations BT Bloomrsquos Taxonomy

CA Communication Arts Math Strands K Knowledge

MA Mathematics NO Number and Operations C Comprehension

SC Science AR Algebraic Relationships Ap Application

SS Social Studies GSR Geometric Spatial Relationships An Analysis

M Measurements S Synthesis

DP Data and Probability E Evaluation

339

Math Analysis

Number and Operations

2 Understand meanings of operations and how they relate to one another Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

GLE

Code

BT Instructional StrategiesStudent

Activities Resources

Assessments (including

Performance-based)

Mastery

Min

Apply properties of operations

Apply properties of logarithms to simplify expressions or solve equations

MA 4 16 110

NO 2C11

Ap gtThe students will apply properties of logarithms to simplify expressions or solve equations when completing the teacher led lesson ldquoExponents and Logarithms Discussionrdquo httpwwwshodororginteractivatediscussionsexphtml gtThe students will be introduced to the properties of logarithms The three main properties (logarithm of a variable or number raised to a power logarithm of a product and logarithm of a quotient) will be demonstrated using variables and later with numbers They will do a number of exercises in which they will have to simplify expressions that include logarithms and exponents gtThe students will apply properties of logarithms when completing a variety of on-line interactive programs httpwwwcoolmathcomalgebraAlgebra2indexhtml Algebra 2 Exponentials amp Logarithms

Students will be assessed on their ability to apply properties of logarithms to simplify expressions or solve equations when completing a performance based assessment Attachment A Additional Assessment Word Problems httpwwwpurplemathcommodulesexpoprobhtm

80

Integrated Skills Workplace Readiness

340

Number and Operations

2 Understand meanings of operations and how they relate to one another Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

GLE

Code

BT Instructional StrategiesStudent

Activities Resources

Assessments (including

Performance-based)

Mastery

Min

Apply operations on real and complex numbers

Apply operations to matrices and complex numbers using mental computation or paper-and-pencil calculations for simple cases and technology for more complicated cases

MA 1 MA 4 MA 5 14 34

NO 2D11

Ap gtThe students will apply operations to complex numbers when completing the lessons and quizzes located at wwwregentpreporg MAP B Operations Complex Numbers

Students will be assessed on their ability to apply operations to matrices and complex numbers using mental computation or paper-and pencil calculations for simple cases and technology for more complicated cases with an on-line assessment httpchortleccsueduVectorLessonsvmch16vmch16_2html

80

Integrated Skills Workplace Readiness Technology

341

Number and Operations

3 Compute fluently and make reasonable estimates Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

GLE

Code

BT Instructional StrategiesStudent

Activities Resources

Assessments (including

Performance-based)

Mastery

Min

Estimate and justify solutions

Judge the reasonableness of numerical computations and their results

MA 1 38

NO 3D 9-12

E gtThe students will judge the reasonableness of numerical computations and their results when completing the following lesson ldquoSpendingmdashPast Present and Futurerdquo wwwsuccesslinkorg

Students will be assessed on their ability to judge the reasonableness of numerical computations and their results when completing a constructed response item wwwdesemogov Classroom Assessment Item Bank Systems of Linear Equations

80

Integrated Skills Workplace Readiness

342

Number and Operations

3 Compute fluently and make reasonable estimates Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

GLE

Code

BT Instructional StrategiesStudent

Activities Resources

Assessments (including

Performance-based)

Mastery

Min

Use proportional reasoning

Solve problems involving proportions

MA 1 MA 4 33

NO 3E 9-12

Ap gtThe students will solve problems involving proportions and percents when completing the 2 lesson unit ldquoMaking Sense of Percent Concentrationsrdquo httpilluminationsnctmorg Lessons Grades 9-12

Students will be assessed on their ability to solve problems involving proportions when completing a textbook assignment andor classroom activities

80

Integrated Skills Workplace Readiness

343

Algebraic Relationships

1 Understand patterns relations and functions Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

GLE

Code

BT Instructional StrategiesStudent

Activities Resources

Assessments (including

Performance-based)

Mastery

Min

Create and analyze patterns

Generalize patterns using explicitly or recursively defined functions

MA 4 16 35

AR 1B 9-12

C gtThe students will generalize patterns using explicitly or recursively defined functions when investigating parabolas ellipses and hyperbolas wwwsuccesslinkorg Exploring Conics Through Paper-Folding and Geometerrsquos Sketchpad gtThe students will generalize patterns using explicitly or recursively defined functions when completing the unit ldquoTrout Pondrdquo httpilluminationsnctmorg Lessons Grades 9-12

Students will be assessed on their ability to generalize patterns using explicitly or recursively defined functions with a textbook assignment andor classroom activities

80

Integrated Skills Workplace Readiness

344

Algebraic Relationships

1 Understand patterns relations and functions Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

GLE

Code

BT Instructional StrategiesStudent

Activities Resources

Assessments (including

Performance-based)

Mastery

Min

Classify objects and representations Compare and contrast

various forms of representations of patterns

MA 4 16

AR 1C 9-12

A gtThe students will compare and contrast forms of patterns Introduce the unit by asking students where they notice numerical patterns and what predictions they make based on their observations Below are some possible responses house numbers streets and avenues savings account with regular deposits family tree growth if everyone had two children gossip - Find an example that demonstrates a pattern and draw a picture that illustrates five reoccurrences of the pattern gtThe students will compare and contrast various forms of numeric algebraic and graphical representations when completing the following lesson ldquoSuccessive Discountsrdquo httpilluminationsnctmorg Lessons Grades 9-12

Students will be assessed on their ability to compare and contrast various forms of representations of patterns when completing a constructed response question Attachment B

80

Integrated Skills Workplace Readiness

345

Algebraic Relationships

1 Understand patterns relations and functions Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

GLE

Code

BT Instructional StrategiesStudent

Activities Resources

Assessments (including

Performance-based)

Mastery

Min

Identify and compare functions Understand and

compare the properties of linear quadratic exponential logarithmic and rational functions (include asymptotes)

MA 4 16 36

AR 1D 11

A gtThe students will understand and compare the properties of exponential functions in the lesson ldquoExponential Functions and the Number erdquo httpwwwlangarabcca~acoopermathlabsexpamplogindexhtm gtThe students will understand and compare the properties of rational functions and asymptotes when completing the on-line tutorial on asymptotes httpwwwpurplemathcommodulesasymtotehtm gtThe students will understand and compare the properties of linear and rational functions and asymptotes when completing the on-line interactive lesson with assessments httpwwwmathuriedu~bkaskoszm111s02lectureintlec1html gtThe students will understand and compare the properties of logarithmic equations when completing the on-line tutorial httpwwwpurplemathcommodulessolveloghtm

Students will be assessed on their ability to understand and compare the properties of linear quadratic exponential logarithmic and rational functions with a textbook assignment and or worksheet httpwwwedhelpercom High School Algebra III Logarithms and Exponential Functions

80

Integrated Skills Technology

346

Algebraic Relationships

1 Understand patterns relations and functions Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

GLE

Code

BT Instructional StrategiesStudent

Activities Resources

Assessments (including

Performance-based)

Mastery

Min

Describe the effects of parameter changes Describe the effects of

parameter changes in logarithmic and exponential functions

MA 4 16 41

AR 1E11

C

gtThe students will describe the effects of parameter changes in exponential functions when completing the following lesson ldquoNational Debt and Warsrdquo httpilluminationsnctmorg Lessons Grades 9-12 gt The students will describe the effects of parameter changes in functions when completing the following lesson ldquoShrinking Candles Running Water Folding Boxesrdquo httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will describe the effects of parameter changes in exponential functions when completing the lesson ldquoShedding Light on the Subjectrdquo httpilluminationsnctmorg Lessons Grades 9-12

Students will be assessed on their ability to describe the effects of parameter changes in logarithmic and exponential functions when completing a textbook assignment andor worksheet Attachment C Andor httpwwwedhelpercom High School Algebra III Logarithms Solving Exponential Equations

80

Integrated Skills Workplace Readiness

347

Algebraic Relationships

2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

GLE

Code

BT Instructional StrategiesStudent

Activities Resources

Assessments (including

Performance-based)

Mastery

Min

Represent mathematical situations Use symbolic algebra

to represent and solve problems that involve exponential and logarithmic relationships including recursive and parametric relationships

MA 4 MA 6 16 31

AR 2A11

Ap

gtThe students will use symbolic algebra to represent and solve problems when completing the lesson ldquoWhich Trig Ratiordquo wwwsuccesslinkorg gtStudents will use symbolic algebra to represent and solve problems that involve exponential relationships with fractional exponents wwwregentpreporg MAP B 3 Operations Evaluate Expressions With Fractional Exponents

Students will be assessed on their ability to use symbolic algebra to represent and solve problems that involve exponential and logarithmic relationships including recursive and parametric relationships with a worksheet Attachment D

80

Integrated Skills Workplace Readiness

348

Algebraic Relationships

2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

GLE

Code

BT Instructional StrategiesStudent

Activities Resources

Assessments (including

Performance-based)

Mastery

Min

Describe and use mathematical manipulation Describe and use

algebraic manipulations including inverse of functions composition of functions and rules of integer exponents

MA 4 31 41

AR 2B

11-12

C Ap

gtThe students will describe and use algebraic manipulations when working with algebra tiles to demonstrate the inverse of functions and integer exponents Attachment E gtThe students will describe and use algebraic manipulations when working with inverse of functions at the following website httpwwwanalyzemathcominversefunctioninversefunctionhtml gtThe students will describe and use algebraic manipulations to complete a worksheet on exponents wwwregentpreporg MAP B 4 ModelingMultiple Representations Use Positive Negative and Zero Exponents gtThe students will describe and use inverse of functions with the on-line interactive activity Inverse Functions located at the following website httpwwwanalyzemathcomprecalculushtml

Students will be assessed on their ability to describe and use algebraic manipulations including inverse of functions composition of functions and rules of integer exponents on a worksheet Attachment F

80

Integrated Skills

349

Algebraic Relationships

2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

GLE

Code

BT Instructional StrategiesStudent

Activities Resources

Assessments (including

Performance-based)

Mastery

Min

Utilize equivalent forms Use and solve

equivalent forms of equations and inequalities (exponential logarithmic and rational)

MA 4 16 34

AR 2C11

Ap

gt The students will use and solve equivalent forms of equations and inequalities when completing a series of stations described in the lesson wwwregentpreporg MAP B 7 Patterns and Functions D6 Absolute Value Equations D8 Absolute Value Inequalities gtThe students will use and solve equivalent forms of equations and inequalities with exponential functions when completing the following lesson httpwwwteacherlinkorgcontentmathactivitiesexploremathhtml Exponential Functions

Students will be assessed on their ability to use and solve equivalent forms of equations and inequalities when completing the on-line assessments located at httpwwwmathcompracticeAlgebrahtml Solving Equations

80

Integrated Skills Workplace Readiness

350

Algebraic Relationships

2 Represent and analyze mathematical situations and structures using algebraic symbols Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

GLE

Code

BT Instructional StrategiesStudent

Activities Resources

Assessments (including

Performance-based)

Mastery

Min

Utilize systems Use and solve systems

of linear and quadratic equations or inequalities with 2 variables

MA 4 16

AR 2D11

Ap

gtThe students will use and solve systems of linear and quadratic equations when completing the following lesson ldquoBuilding Connectionsrdquo httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will use and solve systems of linear and quadratic equations when completing the following lesson ldquoQuadratic Functions (standard form)rdquo httpwwwanalyzemathcomquadraticsquadraticshtm

Students will be assessed on their ability to use and solve systems of linear and quadratic equations or inequalities with 2 variables on a worksheet Attachment G

80

Integrated Skills

351

Algebraic Relationships

3 Use mathematical models to represent and understand quantitative relationships Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

GLE

Code

BT Instructional StrategiesStudent Activities

Resources

Assessments (including

Performance-based)

Mastery

Min

Use mathematical models Identify quantitative

relationships and determine the type(s) of functions that might model the situation to solve the problem (including recursive forms)

MA 4 16 36

AR 3A

11-12

K C

gtThe students will identify quantitative relationships and determine the type(s) of functions when completing the following lesson ldquoUnderstanding Inverse Linear Functionsrdquo wwwsuccesslinkorg gtThe students will identify quantitative relationships and determine the type(s) of functions that might model the situation to solve the problem when completing the lesson ldquoModeling Orbital Debris Problemsrdquo httpilluminationsnctmorg Lessons Grades 9-12

Students will be assessed on their ability to identify quantitative relationships and determine the type(s) of functions that might model the situation to solve the problem with a performance based assessment ldquoAnimators R Usrdquo wwwdesemogov Classroom Assessment Item Bank

80

Integrated Skills Technology Workplace Readiness

352

Algebraic Relationships

4 Analyze change in various contexts Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

GLE

Code

BT Instructional StrategiesStudent

Activities Resources

Assessments (including

Performance-based)

Mastery

Min

Analyze change Analyze exponential

and logarithmic functions by investigating rates of change intercepts and asymptotes

MA 4 16 41

AR 4A11

A

gtThe students will analyze exponential and logarithmic functions by investigating rates of change and intercepts when completing the lesson ldquoPedal Powerrdquo located at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will analyze exponential and logarithmic functions by investigating rates of change and intercepts when completing the lesson ldquoInterest Rates and Growth of Moneyrdquo httpwwwteacherlinkorgcontentmathactivitiesgc-interestrateshomehtml

Students will be assessed on their ability to analyze exponential and logarithmic functions by investigating rates of change intercepts and asymptotes when completing a worksheet Attachment H and I

80

Integrated Skills Technology

353

Geometric and Spatial Relationships

2 Specify locations and describe spatial relationships using coordinate geometry and other representational systems Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

GLE

Code

BT Instructional StrategiesStudent Activities

Resources

Assessments (including

Performance-based)

Mastery

Min

Use coordinate systems Use vectors to

represent and analyze problems involving velocity and direction

MA 2 36 41

GSR 2A11

Ap

gtThe students will use vectors to represent and analyze problems when completing the on-line lesson ldquoGraphing Vector Calculatorrdquo httpwwwcoolmathcomlinks_calculushtm

Students will be assessed on their ability to use vectors to represent and analyze problems involving velocity and direction with a constructed response question Attachment J

80

Integrated Skills

354

Geometric and Spatial Relationships

3 Apply transformations and use symmetry to analyze mathematical situations Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

GLE

Code

BT Instructional StrategiesStudent Activities

Resources

Assessments (including

Performance-based)

Mastery

Min

Use transformations on objects Use and apply matrices

to represent translations reflections rotations and dilations

MA 2 110

GSR 3A11

Ap

gtThe students will use and apply matrices to represent transformations when completing the lesson Matrix SpreadsheetTransformation located at the following webpage httpwwwworldwebdynamicscomlouMatsthtm andor httpwww-mathmitedu~djk18_022chapter16contentshtml

Students will use and apply matrices to represent translations reflections rotations and dilations when completing a group performance task Attachment K

80

Integrated Skills

355

Geometric and Spatial Relationships

3 Apply transformations and use symmetry to analyze mathematical situations Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

GLE

Code

BT Instructional StrategiesStudent Activities

Resources

Assessments (including

Performance-based)

Mastery

Min

Use transformations on functions Perform simple

transformations and their compositions on linear quadratic logarithmic and exponential functions

MA 4 31

GSR 3B11

Ap

gtThe students will perform simple transformations and their compositions on linear and quadratic functions when completing the lesson located at the following website wwwregentpreporg MAP B 7 Patterns and Functions B Ways to Represent and Work With Functions Use Transformations to Investigate the Relationships Between Functions

Students will be assessed on their ability to perform simple transformations and their compositions on linear quadratic logarithmic and exponential functions when completing a worksheet Attachment L

80

Integrated Skills

356

Measurement

2 Apply appropriate techniques tools and formulas to determine measurements Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

GLE

Code

BT Instructional StrategiesStudent Activities

Resources

Assessments (including

Performance-based)

Mastery

Min

Analyze precision Apply concepts of

successive approximation

MA 2 16 34

M 2D11

Ap

gtThe students will apply concepts of successive approximation when completing a lesson chosen by the teacher httpwwwcalculusnetci2searchrequest=categoryampcode=12ampoff=0amptag=9200438920658

Students will be assessed on their ability to apply concepts of successive approximation on a textbook assignment

80

Integrated Skills Technology

357

Data and Probability

1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

GLE

Code

BT Instructional StrategiesStudent Activities

Resources

Assessments (including

Performance-based)

Mastery

Min

Formulate questions Formulate questions

design studies and collect data about a characteristic

MA 3 12

DP 1A 9-12

Ap

gtThe students will formulate question design a study and collect data about foreign currency and budgets httpwwwnytimescomlearningteacherslessonsarchivehtml Foreign Exchange

Students will be assessed on their ability to formulate questions design studies and collect data about a characteristic with a classroom activity

80

Integrated Skills

358

Data and Probability

1 Formulate questions that can be addressed with data and collect organize and display relevant data to answer them Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

GLE

Code

BT Instructional StrategiesStudent Activities

Resources

Assessments (including

Performance-based)

Mastery

Min

Represent and interpret data Describe the

characteristics of well designed studies including the role of randomization in survey and experimental research

MA 3 12 31

DP 1C11

C

gtThe students will describe the characteristics of well designed studies including the role of randomization in survey when completing the New York Time lesson ldquoOpinions Pleaserdquo httpwwwnytimescomlearningteacherslessonsarchivehtml gtThe students will describe the characteristics of well designed studies including the role of randomization in survey when completing a survey of their own about why people should take Algebra Information for the survey can be found at the following website httpwwwpurplemathcommoduleswhy_mathhtm gtThe students will design a study gather data display the data and make inferences from the resulting data Students could draw inferences from other studentrsquos data Students will determine if the inferences are legitimate

Students will describe the characteristics of well designed studies including the role of randomization in survey and experimental research when completing the survey from the lesson Opinions Please Andor when completing the student designed survey from the classroom activity

80

Integrated Skills Technology

359

Data and Probability

2 Select and use appropriate statistical methods to analyze data Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

GLE

Code

BT Instructional StrategiesStudent Activities

Resources

Assessments (including

Performance-based)

Mastery

Min

Describe and analyze data Apply statistical

concepts to solve problems and distinguish between a statistic and a parameter

MA 3 110 34

DP 2A

10-12

Ap

gtThe students will apply statistical concepts when looking at the relationship between diet exercise and weight loss httpwwwnytimescomlearningteacherslessonsarchivehtml Weight Training

Students will be assessed on their ability to apply statistical concepts to solve problems and distinguish between a statistic and a parameter when completing the independent activity in the given classroom exercise

80

Integrated Skills

360

Data and Probability

2 Select and use appropriate statistical methods to analyze data Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

GLE

Code

BT Instructional StrategiesStudent Activities

Resources

Assessments (including

Performance-based)

Mastery

Min

Compare data representations Given one-variable

quantitative data display the distribution describe its shape and calculate summary statistics

MA 3 18 110

DP 2B11

Ap

gtThe students will display the distribution of one-variable data when completing the four lesson unit ldquoThe Regression Line and Correlationrdquo httpilluminationsnctmorg gtThe students given one-variable quantitative data will display the distribution when completing the lesson ldquoExploring PeriodhellipPeriodrdquo located at the following website httpwwwteacherlinkorgcontentmathactivitiesexploremathhtml

Students will be assessed on their ability to display the distribution of one variable quantitative data describe its shape and calculate summary statistics when working with the unit ldquoThe Regression Line and Correlationrdquo andor a textbook assignment

80

Integrated Skills Technology

361

Data and Probability

2 Select and use appropriate statistical methods to analyze data Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

GLE

Code

BT Instructional StrategiesStudent Activities

Resources

Assessments (including

Performance-based)

Mastery

Min

Represent data algebraically Given a scatterplot

determine a type of function which models the data

MA 3 16

DP 2C11

A

gtThe students will determine a type of function which models the data on a scatterplot when completing the lesson ldquoAnalyzing Birth Ratesrdquo httpwwwteacherlinkorgcontentmathactivitiesexcelhtml gtThe students will determine a type of function which models the data on a scatterplot of a environmental issue httpwwwseattlecentraleduqelpDatahtml

Students will be assessed on their ability to determine a type of function which models the data on a given scatterplot from the website httpwwwteacherlinkorgcontentmathactivitiesexcelhtml

80

Integrated Skills

362

Data and Probability

3 Develop and evaluate inferences and predictions that are based on data Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

GLE

Code

BT Instructional StrategiesStudent Activities

Resources

Assessments (including

Performance-based)

Mastery

Min

Develop and evaluate inferences Use simulations to

describe the variability of sample statistics from a known population and to construct sampling distribution

MA 3 12

DP 3A11

Ap

gtThe students will use simulations to describe the variability of sample statistics from a known population and to construct sampling distribution in the lesson ldquoBuffonrsquos Needlerdquo httpwwwmsteuiucedureesebuffonbuffonhtml gtThe students will use simulations to describe the variability of sample statistics from a known population and to construct sampling distribution when working with a variety of applets involving Experimenting Paradoxes httpwww-statstanfordedu~susansurprise

Students will be assessed on their ability to use simulations to describe the variability of sample statistics from a known population and to construct sampling distribution with a constructed response wwwdesemogov Probability

80

Integrated Skills

363

Data and Probability

3 Develop and evaluate inferences and predictions that are based on data Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

GLE

Code

BT Instructional StrategiesStudent Activities

Resources

Assessments (including

Performance-based)

Mastery

Min

Develop and evaluate inferences Evaluate published

reports that are based on data by examining the design of the study the appropriateness of the data analysis and the validity of conclusions

MA 3 15

DP 3A12

E

gtStudents will evaluate published reports that are based on data when completing a New York Times Lesson ldquoA Valid Conclusionrdquo andor the lesson ldquoItrsquos Gas Gas Gasrdquo wwwnytimescomlearningteacherslessonsarchivehtml

Students will be assessed on their ability to evaluate published reports that are based on data by examining the design of the study the appropriateness of the data analysis and the validity of conclusions when completing classroom activities

80

Integrated Skills

364

Data and Probability

3 Develop and evaluate inferences and predictions that are based on data Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

GLE

Code

BT Instructional StrategiesStudent Activities

Resources

Assessments (including

Performance-based)

Mastery

Min

Analyze basic statistical techniques Describe how basic

statistical techniques are used in the workplace

MA 3 14

DP 3B12

gtThe students will describe how basic statistical are used in the workplace when completing a New York Times lesson activity wwwnytimescomlearningteacherslessonsarchivehtml Wheeling and Dealing No New Workers Need Apply Working It Out

Students will be assessed on their ability to describe how basic statistical techniques are used in the workplace when completing classroom activities

80

Integrated Skills Workplace Readiness

365

Data and Probability

4 Understand and apply basic concepts of probability Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

GLE

Code

BT Instructional StrategiesStudent Activities

Resources

Assessments (including

Performance-based)

Mastery

Min

Apply basic concepts of probability Compute and interpret

the expected value of random variables

MA 3 31

DP 4A11

Ap

gtThe students will compute and interpret the expected value of random variables when completing the lesson ldquoHypothesis Testing Projectrdquo wwwsuccesslinkorg gtThe students will compute and interpret the expected value of random variables when completing an on-line interactive lesson httpwwwteacherlinkorgcontentmathactivitiesex-randomevents

Students will be assessed on their ability to compute and interpret the expected value of random variables with the completion of the project from the activity

80

Integrated Skills

366

Data and Probability

4 Understand and apply basic concepts of probability Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

GLE

Code

BT Instructional StrategiesStudent Activities

Resources

Assessments (including

Performance-based)

Mastery

Min

Apply basic concepts of probability Use simulations to

construct empirical probability distributions

MA 3 12

DP 4A12

Ap

gtThe students will use simulations to construct probability distributions with a TI-82 calculator in the SuccessLink lesson ldquoExploring Limits of Rational Functions Using the TI-82 Graphics Calculatorrdquo wwwsuccesslinkorg gtThe students will use simulations to represent medicine in a body when completing the SuccessLink lesson ldquoExploring Limits and Recursive Sequences Through a Classroom Simulationrdquo wwwsuccesslinkorg

Students will be assessed on their ability to use simulations to construct empirical probability distributions when completing classroom activities

80

Integrated Skills

367

Data and Probability

4 Understand and apply basic concepts of probability Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

GLE

Code

BT Instructional StrategiesStudent Activities

Resources

Assessments (including

Performance-based)

Mastery

Min

Use and describe compound events Use and describe how

to compute the probability of a compound event

MA 2 31

DP 4B11

Ap

gtThe students will use and describe how to compute the probability of a compound event when completing the lesson ldquoStick or Switchrdquo httpilluminationsnctmorg Lessons Grades 9-12

Students will be assessed on their ability to use and describe how to compute the probability of a compound event

80

Integrated Skills