Course Description

Algebra I

183

ALGEBRA 1

Course Rationale

Algebra 1 is the critical element in secondary mathematics education Topics introduced in Algebra 1 provide the foundation students require for

future success in high school mathematics critical thinking and problem solving The primary goal in Algebra 1 is to help students transfer their

concrete mathematical knowledge to more abstract algebraic generalizations

Course Description

Algebra 1 topics include recognizing and developing patterns using tables graphs and equations In addition students will explore operations on

algebraic expressions apply mathematical properties to algebraic equations Students will solve problems using equations graphs and tables to

investigate linear relationships Technology will be used to introduce and expand upon the areas of study listed above Use of computers and

graphing calculators will be incorporated into each module

184

Resources Adopted Text _______________________________________________________________________ Websites wwwdesemogov Classroom Assessment Item Bank httpilluminationsnctmorg wwwkeymathcom httplibrarythinkquestorg httpncesedgov httpmathforumorgmathtoolssitemaphtml wwwphysicsclassroomcom wwwregentpreporg httpschoolsspsdskcamounthoffmanMath9gradeninehtm httpscorekingsk12causlessonshtml wwwshodororginteractivate wwwsuccesslinkorg

Abbreviations

Subjects CLE Course 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

183

ALGEBRA 1

Course Rationale

Algebra 1 is the critical element in secondary mathematics education Topics introduced in Algebra 1 provide the foundation students require for

future success in high school mathematics critical thinking and problem solving The primary goal in Algebra 1 is to help students transfer their

concrete mathematical knowledge to more abstract algebraic generalizations

Course Description

Algebra 1 topics include recognizing and developing patterns using tables graphs and equations In addition students will explore operations on

algebraic expressions apply mathematical properties to algebraic equations Students will solve problems using equations graphs and tables to

investigate linear relationships Technology will be used to introduce and expand upon the areas of study listed above Use of computers and

graphing calculators will be incorporated into each module

184

Resources Adopted Text _______________________________________________________________________ Websites wwwdesemogov Classroom Assessment Item Bank httpilluminationsnctmorg wwwkeymathcom httplibrarythinkquestorg httpncesedgov httpmathforumorgmathtoolssitemaphtml wwwphysicsclassroomcom wwwregentpreporg httpschoolsspsdskcamounthoffmanMath9gradeninehtm httpscorekingsk12causlessonshtml wwwshodororginteractivate wwwsuccesslinkorg

Abbreviations

Subjects CLE Course 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

184

Resources Adopted Text _______________________________________________________________________ Websites wwwdesemogov Classroom Assessment Item Bank httpilluminationsnctmorg wwwkeymathcom httplibrarythinkquestorg httpncesedgov httpmathforumorgmathtoolssitemaphtml wwwphysicsclassroomcom wwwregentpreporg httpschoolsspsdskcamounthoffmanMath9gradeninehtm httpscorekingsk12causlessonshtml wwwshodororginteractivate wwwsuccesslinkorg

Abbreviations

Subjects CLE Course 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

185

Algebra I

Number and Operations

1 Understand numbers ways of representing numbers relationships among numbers and number systems Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

CLE

Code

BT Instructional StrategiesStudent

Activities Resources

Assessments (including

Performance-based)

Mastery

Min

Read write and compare numbers

Compare and order rational and irrational numbers including finding their approximate locations on a number line

MA 5 33

NO 1A9

Ap gtThe students will participate in a ldquoBaseball Mathrdquo activity to compare and order rational and irrational numbers Teacher creates a number line (board overhead smartboard) to whatever dimensions they wish Students are divided into two teams When it is their teamrsquos turn they line up by the number line Teacher asks them a question (Where is -8 on the number line Which is larger -1 or 1 and prove it on the number line etc) If answer is correct the student moves one base Team scores when a student crosses home plate

Students will compare and order rational and irrational numbers including finding their approximate locations on a number line with a textbook assignment and or on-line 10 question quiz httpschoolsspsdskcamounthoffmanMath9gradeninehtm Quizzes Which is bigger One and Which is bigger Two

80

Integrated Skills Workplace Readiness

186

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

CLE

Code

BT Instructional StrategiesStudent

Activities Resources

Assessments (including

Performance-based)

Mastery

Min

Describe effects of operations

Describe the effects of operations such as multiplication division and computing powers and roots on the magnitude of quantities

MA 5 34 41

NO 2B9

C gt Students will describe the effects of operations when they learn that vectors are composed of magnitude and direction and they extend their knowledge of number systems to the system of vectors when completing the activity ldquoLearning About Properties of Vectors and Vector Sums Using Dynamic Softwarerdquo Located at the following website httpilluminationsnctmorg LessonsActivities Grades 9-12 gtThe students will describe the effects of operations on root equivalences with geometric arrangements when completing the lesson ldquoStacking Squaresrdquo located at the following website httpilluminationsnctmorg Lessons Grades 9-12

Students will describe the effects of operations such as multiplication division and computing powers and roots on the magnitude of quantities with a textbook assignment or a performance event Farmer Philliprsquos Bumper Crop wwwdesemogov Classroom Assessment Item Bank

80

Integrated Skills Workplace Readiness

187

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

CLE

Code

BT Instructional StrategiesStudent

Activities Resources

Assessments (including

Performance-based)

Mastery

Min

Apply properties of operations

Apply properties of exponents (including order of operations) to simplify expressions or solve equations

MA 4 16 110

NO 2C9

Ap The students will apply properties of exponents when completing activities and assessments from the following website wwwregentpreporg Math A 3 Operations Order of Operations and Evaluating Expressions and Exponents The students will apply properties of exponents when completing the lesson ldquoArmstrong Numbersrdquo located at the following website httpilluminationsnctmorg Lessons Grades 6-12

Students will apply properties of exponents to simplify expressions or solve equations with a textbook assignment

80

Integrated Skills

188

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

CLE

Code

BT Instructional StrategiesStudent

Activities Resources

Assessments (including

Performance-based)

Mastery

Min

Apply operations on real and complex numbers

Apply operations to real 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 2D 9-10

Ap gtThe students will apply operations to real numbers during the ldquoInteger Footballrdquo activity Attachment A gtThe students will apply operations to real numbers when completing the SuccessLink lesson ldquoEntertaining Valuesrdquo wwwsuccesslinkorg

Students will apply operations to real numbers using mental computation or paper-and-pencil calculations for simple cases and technology for more complicated cases with a variety of quizzes httpschoolsspsdskcamounthoffmanMath9gradeninehtm

80

Integrated Skills Workplace Readiness

189

Number and Operations

3 Compute fluently and make reasonable estimates Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

CLE

Code

BT Instructional StrategiesStudent

Activities Resources

Assessments (including

Performance-based)

Mastery

Min

Compute problems

Apply all operations to real numbers

MA 1 110 33

NO 3C9

Ap gtThe students will apply all operations to real numbers when completing activities from the SuccessLink Lesson ldquoSample MAP Questions Related to Discrete Mathrdquo andor ldquoTax Timerdquo wwwsuccesslinkorg Math High School

Students will apply all operations to real numbers with a textbook assignment or a constructed response question wwwdesemogov Classroom Assessment Item Bank Constructed Response ldquoActivities During an Average Personrsquos Lifetimerdquo

80

Integrated Skills Workplace Readiness

190

Number and Operations

3 Compute fluently and make reasonable estimates Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

CLE

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 The students will judge the reasonableness of numerical computations when completing the SuccessLink lesson ldquoMaximizing the Profits at the Rex-Plexrdquo wwwsuccesslinkorg Math High School

Students will judge the reasonableness of numerical computations and their results with the performance activity ldquoEvent Plannerrdquo Attachment B

80

Integrated Skills

191

Number and Operations

3 Compute fluently and make reasonable estimates Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

CLE

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 when the complete the lesson ldquoLife Saver Anyonerdquo Attachment C gtThe students will solve problems involving proportions of the Golden RectanCLE Attachment E gtThe students will solve a problem involving proportions involving the character in the book Gulliverrsquos Travels Attachment F

Students will solve problems involving proportions with the assessment of ldquoLife Saver Anyonerdquo or on a constructed response item Attachment D Or wwwdesemogov Classroom Assessment Item Bank Polygons

80

Integrated Skills

192

Algebraic Relationships

1 Understand patterns relations and functions Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

CLE

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 The students will generalize patterns using recursively defined functions during the lesson ldquoThe Devil and Daniel Websterrdquo located at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will generalize patterns using explicitly or recursively defined functions when completing the activities in the SuccessLink Link lesson ldquoTeaching Algebraic Thinking Through Hands-On Activities Number 4rdquo wwwsuccesslinkorg Math High School

Students will generalize patterns using explicitly or recursively defined functions when completing a quiz Attachment G

80

Integrated Skills Workplace Readiness

193

Algebraic Relationships

1 Understand patterns relations and functions Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

CLE

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 The students will compare and contrast representations of patterns when completing the lesson ldquoBattery Depletion and Piecewise Linear Graphingrdquo located by following the path wwwregentpreporg Math A 7 Patterns and Functions Modeling Real World Situations with Functions Order of Operations and Evaluating Expressions and Exponents

Students will compare and contrast various forms of representations of patterns when completing a performance activity httpilluminationsnctmorg Lessons Grades 6-12 Walk the Plank

80

Integrated Skills

194

Algebraic Relationships

1 Understand patterns relations and functions Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

CLE

Code

BT Instructional StrategiesStudent

Activities Resources

Assessments (including

Performance-based)

Mastery

Min

Identify and compare functions Understand and

compare the properties of linear and exponential functions (include intercepts)

MA 4 16 36

AR 1D 9

C A

The students will understand and compare the properties of linear and exponential functions when using graphs tables number lines verbal descriptions and symbols to represent the domain of various functions ldquoDomain Representationrdquo httpilluminationsnctmorg Lessons Grades 9-12 Activities ldquoSimple Plotrdquo and ldquoGraph Sketcherrdquo wwwshodororginteractivate gtThe students will understand and compare linear equations (slope and intercept) when completing the lesson and activities found at the following website wwwregentpreporg Math A 7 Patterns and Functions Graphs of Linear Equations Slope amp Intercept

Students will understand and compare the properties of linear and exponential functions with a constructed response question Graphing Linear Equations wwwdesemogov Classroom Assessment Item Bank

80

Integrated Skills Technology

195

Algebraic Relationships

1 Understand patterns relations and functions Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

CLE

Code

BT Instructional StrategiesStudent

Activities Resources

Assessments (including

Performance-based)

Mastery

Min

Describe the effects of parameter changes Describe the effects of

parameter changes on linear functions

MA 4 16 41

AR 1E

C

The students will describe the effects of changes on linear function when completing the lesson and activity ldquoIntroduction to Linear Function wwwshodororginteractivate Lessons Functions and Algebra Concepts gtThe students will describe and practice the effects of changes on functions when completing a variety of lessons and activities httpmathforumorgmathtoolssitemaphtml Algebra FunctionsRelations Explore Graphs of Functions Function Machine AR2A9 Trout Pond Lesson 3 works well with parameters

Students will describe the effects of parameter changes on linear function with a constructed response question wwwdesemogov Classroom Assessment Item Bank Constructed Response Question Graphing Quadratic Functions

80

Integrated Skills

196

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

CLE

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 linear relationships including absolute value and recursive relationships

MA 4 MA 6 16 31

AR 2A

Ap

The students will use symbolic algebra to complete a game of BINGO Attachment H (3 pages) The students will work in groups of 2 to determine simple interest problems given by the teacher gtThe students will use symbolic algebra recursive relationships and changes in parameters to work with the change in the population of trout in a pond (a 4 Lesson unit) Additional on-line activity Trout Population Calculator httpilluminationsnctmorg Lessons Grades 9-12 Trout Pond

Students will be assessed on their ability to use symbolic algebra to represent and solve problems that involve linear relationships with a constructed response question Attachment I

80

Integrated Skills Workplace Readiness

197

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

CLE

Code

BT Instructional StrategiesStudent

Activities Resources

Assessments (including

Performance-based)

Mastery

Min

Describe and use mathematical manipulation Describe and use

algebraic manipulations including factoring and rules of integer exponents

MA 4 31 41

AR 2B 9-10

C Ap

gtThe students will describe and use algebraic manipulations SuccessLink lesson ldquoHow Powers of Ten Affect Our Livesrdquo wwwsuccesslinkorg gtThe students will describe and use algebraic factoring during the game ldquoFactor BINGOrdquo wwwsuccesslinkorg

Students will describe and use algebraic manipulations including factoring and rules of integer exponents on a textbook assignment or the following worksheet Attachment J

80

Integrated Skills

198

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

CLE

Code

BT Instructional StrategiesStudent

Activities Resources

Assessments (including

Performance-based)

Mastery

Min

Utilize equivalent forms Use and solve

equivalent forms of equations and inequalities (linear)

MA 4 16 34

AR 2C9

Ap

The students will use and solve equivalent forms of equations and inequalities with a variety of problems Attachment K gtIn groups of two the students will create equations for their fellow students to solve gtBaseball Math ndash Divide the class into 2 teams Specify the bases around the classroom Students are given an equation to solve If correct they move one base if incorrect their team receives an out Team scores when a player crosses home plate

Students will use and solve equivalent forms of equations and inequalities with a multi-step problem Attachment L Or a constructed response item Systems of Linear Equations wwwdesemogov Classroom Assessment Item Bank

80

Integrated Skills

199

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

CLE

Code

BT Instructional StrategiesStudent

Activities Resources

Assessments (including

Performance-based)

Mastery

Min

Utilize systems Use and solve systems

of linear equations with 2 variables

MA 4 16

AR 2D9

Ap

The students will use and solve systems of linear equations with 2 variables when completing the lesson and activities (in step 4) at the following website httpmathforumorgmathtoolssitemaphtml Algebra Use of Variables Evaluating Expressions

Students will use and solve systems of linear equations with 2 variables on a worksheet Attachment M

80

Integrated Skills

200

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

CLE

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

MA 4 16 36

AR 3A 10

K C

gtThe students will identify quantitative relationships when completing the lesson ldquoBarbie Bungeerdquo httpilluminationsnctmorg Lessons Grades 6-12 The students will identify quantitative relationships and determine the types of functions that model the situation when completing the unit ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will identify quantitative relationships and determine functions with the performance event activity ldquoConcession Standrdquo Attachment N

Students will identify quantitative relationships and determine the type(s) of functions that might model the situation to solve the problem given in the activity lesson ldquoWhelk-Come to Mathematicsrdquo httpilluminationsnctmorg Lessons Grades 9-12 Andor worksheet Attachment O

80

Integrated Skills Technology Workplace Readiness

201

Algebraic Relationships

4 Analyze change in various contexts Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

CLE

Code

BT Instructional StrategiesStudent

Activities Resources

Assessments (including

Performance-based)

Mastery

Min

Analyze change Analyze linear functions

by investigating rates of change and intercepts

MA 4 16 41

AR 4A9

A

The students will analyze linear functions when completing the performance activity ldquoDesigning a T-Shirtrdquo wwwsuccesslinkorg gtThe students will analyze linear functions by investigating rate of change in a trout population ldquoTrout Pondrdquo and the activity tool Trout Population Calculator httpilluminationsnctmorg Lessons and Activities Grades 9-12 gtThe students will analyze linear functions when exploring geometric designs in the SuccessLink Activity ldquoCommunicating Mathematics Through Technology-Part 2rdquo wwwsuccesslinkorg

Students will analyze linear functions by investigating rates of change and intercepts on a textbook assignment andor the following worksheets Attachment P andor Q

80

Integrated Skills Technology

202

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

CLE

Code

BT Instructional StrategiesStudent Activities

Resources

Assessments (including

Performance-based)

Mastery

Min

Use transformations on objects Represent translations

reflections rotations and dilations of objects in the coordinate plane

MA 2 110

GSR 1B

Ap

gtThe students will represent transformations when completing the following on-line activities and lessons Symmetries I II III IV httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will represent translations during the Successlink lesson wwwsuccesslinkorg Tesselation Translations

Students will represent translations with a performance event assessment wwwdesemogov Classroom Assessment Item Bank School District Logo Contest

80

Integrated Skills

203

Geometric and Spatial Relationships

4 Use visualization spatial reasoning and geometric modeling to solve problems Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

CLE

Code

BT Instructional StrategiesStudent Activities

Resources

Assessments (including

Performance-based)

Mastery

Min

Draw and use visual models Draw or use visual

models to represent and solve problems

MA 2 31 21

GSR 4B9

Ap

The students will draw and use visual models when completing the ldquoPaper Cuprdquo activities located at httpmathforumorgpcmihstpresourcespapercup

Students will draw or use visual models to represent and solve problems with a performance-based assessment wwwsuccesslinkorg Gazebo Project

80

Integrated Skills Technology

204

Measurement

1 Understand measurable attributes of objects and the units systems and processes of measurement Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

CLE

Code

BT Instructional StrategiesStudent Activities

Resources

Assessments (including

Performance-based)

Mastery

Min

Determine unit of measurement Identify and justify

appropriate units of measure for velocity

MA 1 MA 2 31 41

M 1A9

E

gtThe students will learn how to identify and justify units of measure for velocity with the on-line tutorial of 6 lessons located at httpwwwphysicsclassroomcomClass1DKin1DKinTOChtml The students will identify and justify measure of velocity when creating a catapult to launch either a bottle rocket or a baseball in one of the Successlink activities below wwwsuccesslinkorg Bottle Rocket Launch Catapult Project Activity Airplane Velocity httpwwwkeymathcomDGdynamicresultant_vectorhtml

Students will identify and justify appropriate units of measure for velocity on participation of classroom activities andor a textbook assignment Resource Quiz httplibrarythinkquestorg10139midproj2html

80

Integrated Skills Technology

205

Measurement

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

Objective

The student will be able to

Assessed

Show-Me

Goals

CLE

Code

BT Instructional StrategiesStudent Activities

Resources

Assessments (including

Performance-based)

Mastery

Min

Analyze precision Analyze effects of

computation on precision

MA 2 17 18 38

M 2D 9-10

A

The students will analyze effects of computation on precision when completing the lesson ldquoError in Measurementrdquo which includes lab activities that provide for students to do a self-check on-line httpwwwregentpreporg Math A 5 Measurement Error in Measurement

Students will be analyze effects of computation on precision when completing lab activities

80

Integrated Skills Technology

206

Measurement

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

Objective

The student will be able to

Assessed

Show-Me

Goals

CLE

Code

BT Instructional StrategiesStudent Activities

Resources

Assessments (including

Performance-based)

Mastery

Min

Use relationship within a measurement system Use unit analysis to

solve problems involving rates

MA 4 31 18

M 2E

E

The students will use unit analysis to solve the problem of ldquoGrowth Raterdquo Found at the following website httpilluminationsnctmorg Lessons Grades 9-12 gtThe students will use unit analysis in the illuminations lesson ldquoInvestigating Pickrsquos Theoremrdquo httpilluminationsnctmorg Lessons Grades 9-12

Students will solve problems involving rates with a constructed response question related to the lesson ldquoInvestigating Pickrsquos Theoremrdquo Pose questions that avoid using the finished formula focusing instead on the rate of change For example Suppose a figure has an area of 4frac12 If I created another figure that has the same number of perimeter pins but one more interior pin what would its area be Encourage students to answer this question without referring to their spreadsheets As a follow-up ask What would the area be for a figure with ten more interior pins Then have students create quiz questions of a similar type using the rate of change for perimeter pins and require them to provide a full solution

80

Integrated Skills Technology

207

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

CLE

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 18

DP 1A 9-12

A

The students will formulate a question and design a study that includes collecting data In groups of 3 students will choose a sport team or and individual to research They will develop a question that will develop into a design of study Continued in DP1C9

Students will formulate questions design studies and collect data about a characteristic during classroom activity Scoring Guide Attachment R

80

Integrated Skills

208

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

CLE

Code

BT Instructional StrategiesStudent Activities

Resources

Assessments (including

Performance-based)

Mastery

Min

Represent and interpret data Select create and use

appropriate graphical representation of data

MA 3 18 36

DP 1C 9-10

Ap

The students will use data collected in DP1A to select create and use appropriate representation of the information Option Create the graphs using technology (excel program) Continued in DP2A9

Students will select create and use appropriate graphical representation of data on the classroom activity and or a Performance-Based Assessment Scoring Guide Attachment R wwwdesemogov Classroom Assessment Item Bank Basketball Statistics

80

Integrated Skills Technology

208

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

CLE

Code

BT Instructional StrategiesStudent Activities

Resources

Assessments (including

Performance-based)

Mastery

Min

Represent and interpret data Select create and use

appropriate graphical representation of data

MA 3 18 36

DP 1C 9-10

Ap

The students will use data collected in DP1A to select create and use appropriate representation of the information Option Create the graphs using technology (excel program) Continued in DP2A9

Students will select create and use appropriate graphical representation of data on the classroom activity and or a Performance-Based Assessment Scoring Guide Attachment R wwwdesemogov Classroom Assessment Item Bank Basketball Statistics

80

Integrated Skills Technology

209

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

CLE

Code

BT Instructional StrategiesStudent Activities

Resources

Assessments (including

Performance-based)

Mastery

Min

Describe and analyze data Apply statistical

concepts to solve problems

MA 3 16 110 34

DP 2A9

Ap

The students will apply statistical concepts of Central Tendency to represent the data from the classroom sport research gtThe students will apply statistical concepts of mean median and mode on a variety of activities Attachment S

Students will apply statistical concepts to solve problems on the classroom activity Scoring Guide Attachment R

80

Integrated Skills

210

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

CLE

Code

BT Instructional StrategiesStudent Activities

Resources

Assessments (including

Performance-based)

Mastery

Min

Compare data representations Given one-variable

quantitative data display the distribution and describe its shape

MA 3 18

DP 2B 9-10

Ap

The students will display the distribution of data and describe its shape when creating graphs with data given by the teacher or with a description of the graph to be created httpncesedgovnceskidscreateagraph The students will display the distribution and describe the shape of information gathered in the ldquoCompact Disk Projectrdquo Attachment T (3 pages)

Students will create a graph to display the distribution of data and describe its shape with a textbook assignment

80

Integrated Skills Technology

210

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

CLE

Code

BT Instructional StrategiesStudent Activities

Resources

Assessments (including

Performance-based)

Mastery

Min

Compare data representations Given one-variable

quantitative data display the distribution and describe its shape

MA 3 18

DP 2B 9-10

Ap

The students will display the distribution of data and describe its shape when creating graphs with data given by the teacher or with a description of the graph to be created httpncesedgovnceskidscreateagraph The students will display the distribution and describe the shape of information gathered in the ldquoCompact Disk Projectrdquo Attachment T (3 pages)

Students will create a graph to display the distribution of data and describe its shape with a textbook assignment

80

Integrated Skills Technology

211

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

CLE

Code

BT Instructional StrategiesStudent Activities

Resources

Assessments (including

Performance-based)

Mastery

Min

Represent data algebraically Given a scatterplot

determine an equation for a line of best fit

MA 3 16

DP 2C9

A

The students will determine an equation for a line of best fit when completing the lesson ldquoExploring Linear Datardquo and the activity ldquoLine of Best Fitrdquo at the following website httpilluminationsnctmorg gtThe students will use a T1-85 calculator for scatterplots created from information obtained on the internet when completing the lesson ldquoCurve Fitting and the TI-85 calculatorrdquo located at the following website httpscorekingsk12causlessonshtml Lessons for 8-12 Probability and Statistics

Students will solve an equation for a line of best fit given a scatterplot with a textbook assignment andor classroom activities

80

Integrated Skills

212

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

CLE

Code

BT Instructional StrategiesStudent Activities

Resources

Assessments (including

Performance-based)

Mastery

Min

Develop and evaluate inferences Make conjectures

about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit

MA 3 35

DP 3A9

E

gtThe students will make conjectures on the relationships between 2 characteristics on the SuccessLink lesson ldquoHumerus Heightrdquo located at the following website wwwsuccesslinkorg

Students will make conjectures about possible relationships between 2 characteristics when completing the Performance-based Assessment ldquoSee-Saw Labrdquo wwwsuccesslinkorg

80

Integrated Skills

213

Data and Probability

4 Understand and apply basic concepts of probability Measurable Learner

Objective

The student will be able to

Assessed

Show-Me

Goals

CLE

Code

BT Instructional StrategiesStudent Activities

Resources

Assessments (including

Performance-based)

Mastery

Min

Apply basic concepts of probability Construct sample

spaces and distributions

MA 3 31 21

DP 4A9

AP

The students will construct sample spaces when completing the activity ldquoPair Sharerdquo Attachment U gtThe students will use a tree diagram to construct sample spaces when completing the lesson ldquoExplorations with Chancerdquo located at the following website httpilluminationsnctmorg

Students will be assessed on their ability to construct sample spaces and distributions when completing textbook assignments andor classroom activities Students will graph data and present findings to the class

80

Integrated Skills