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GoalsDOK fContent_AreaStrandBig_IdeaConceptGradeDOKContent_StandardGoalsABCDEGDEPTH_OF_KNOWLEDGEDESCRIPTIONRecall,Recall of a fact, information, or procedure.
Skill/Concept@Use information or conceptual knowledge, two or more steps, etc.Strategic ThinkingkRequires reasoning, developing plan or a sequence of steps, some complexity, more than one possible answer.Extended ThinkingXRequires an investigation, time to think and process multiple conditions of the problem.CONTENT_AREASTANDARDSTANDARD_DESCRIPTIONGOALGOAL_DESCRIPTIONSUB_GOALSUB_GOAL_DESCRIPTION}Students in Missouri public schools will acquire the knowledge and skills to gather, analyze and apply information and ideas.;Develop questions and ideas to initiate and refine researchGConduct research to answer questions and evaluate information and ideasRDesign and conduct field and laboratory investigations to study nature and societyVUse technological tools and other resources to locate, select and organize informationHComprehend and evaluate written, visual and oral presentations and worksUDiscover and evaluate patterns and relationships in information, ideas and structuresGEvaluate the accuracy of information and the reliability of its sourcesxOrganize data, information and ideas into useful forms (including charts, graphs, outlines) for analysis or presentationfIdentify, analyze and compare the institutions, traditions and art forms of past and present societiesoApply acquired information, ideas and skills to different contexts as students, workers, citizens and consumersStudents in Missouri public schools will acquire the knowledge and skills to communicate effectively within and beyond the classroom.\Plan and make written, oral and visual presentations for a variety of purposes and audiences@Review and revise communications to improve accuracy and clarityVExchange information, questions and ideas while recognizing the perspectives of othersRPresent perceptions and ideas regarding works of the arts, humanities and sciences7Perform or produce works in the fine and practical artsEApply communication techniques to the job search and to the workplace9Use technological tools to exchange information and ideasjStudents in Missouri public schools will acquire the knowledge and skills to recognize and solve problems.5Identify problems and define their scope and elementsSDevelop and apply strategies based on ways others have prevented or solved problems\Develop and apply strategies based on one's own experience in preventing or solving problems?Evaluate the processes used in recognizing and solving problemsUReason inductively from a set of specific facts and deductively from general premisesAExamine problems and propsed solutions from multiple perspectives=Evaluate the extent to which a strategy addresses the problemCAssess costs, benefits and other consequences of proposed solutionsStudents in Missouri public schools will acquire the knowledge and skills to make decisions and act as responsible members of society.DExplain reasoning and identify information used to support decisionseUnderstand and apply the rights and responsibilities of citizenship in Missouri and the United StatesCAnalyze the duties and responsibilities of individuals in societiesQRecognize and practice honest and integrity in academic work and in the workplaceRDevelop, monitor and revise plans of action to meet deadlines and accomplish goals]Identify tasks that require a coordinated effort and work with others to complete those tasks_Identify and apply practices that preserve and enhance the safety and health of self and others?Explore, prepare for and seek educational and job opportunitiesSTRANDBIG_IDEACONCEPTCONCEPT_DESCRIPTIONBIG_IDEA_DESCRIPTIONSTRAND_DESCRIPTIONCLE_CodeCLE_DescriptionMathematicsA1GEI2A2I3I2 MNMCompare properties of linear, exponential, logarithmic and rational functionsUApply appropriate properties of exponents to simplify expressions and solve equations\Describe and use algebraic manipulations, including factoring and rules of integer exponentsRUse and solve equivalent forms of equations (linear, absolute value and quadratic)WUse and solve equivalent forms of equations and inequalities (piecewise and quadratic)<Use and solve equivalent forms of equations and inequalitiesdUse and solve equivalent forms of equations and inequalities (exponential, logarithmic and rational)JUse and solve systems of linear equations or inequalities with 2 variablesXUse and solve systems of linear and quadratic equations or inequalities with 2 variables~Identify quantitative relationships and determine the type(s) of functions that might model the situation to solve the problemIdentify quantitative relationships and determine the type(s) of functions that might model the situation to solve the problem (including recursive forms)]Analyze linear and quadratic functions by investigating rates of change, intercepts and zerosHAnalyze linear functions by investigating rates of change and interceptsRAnalyze quadratic functions by investigating rates of change, intercepts and zerosiAnalyze exponential and logarithmic functions by investigating rates of change, intercepts and asymptotesiFormulate questions and collect data about a characteristic which include sample spaces and distributions1Formulate and collect data about a characteristic~Describe the characteristics of well designed studies, including the role of randomization in survey and experimental researchSelect and use appropriate graphical representation of data and given onevariable quantitative data, display the distribution and describe its shapeSelect and use appropriate graphical representation of data and given onevariable quantitative data, describe its shape and calculate summary statistics^Display and analyze bivariate data where on variable is categorical and the other is numerical6Apply statistical measures of center to solve problems`Apply statistical concepts to solve problems and distinguish between a statistic and a parameter\Recognize how linear transformations of singlevariable data affect shape, center and spreadAGiven a scatterplot, determine an equation for a line of best fitIGiven a scatterplot, determine the type of function which models the dataUCreate a scatter plot, describe its shape, determine and analyze regression equations}Make conjectures about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the dataDescribe how sample statistics reflect the values of population parameters and use sampling distributions as the basis for informal referenceBDescribe the concepts of sample space and probability distributionOUse and describe the concepts of conditional probability and independent eventsUse and describe the concepts of conditional probability and independent events and how to compute the probability of a compound eventCUse and describe how to compute the probability of a compound eventUse inductive and deductive reasoning to establish the validity of geometric conjectures, prove theorems and critique arguments made by others\Use trigonometric relationships with right triangles to determine lengths and angle measuresUse inductive and deductive reasoning to determine lengths and angle measures in all types of triangles and to establish the validity of geometric conjectures, proved theorems and critique arguments made by othersqApply geometric properties such as similarity and angle relationship to solve multistep problems in 2 dimensionsLApply relationships among surface areas and among volumes of similar objectsJDetermine the effect of surface area or volume of changing one measurementjMake conjectures and solve problems involving 2dimensional objects represented with Cartesian coordinatesUse and apply constructions and the coordinate plane to represent translations, reflections, rotations and dilations of objectshUse and appl< y constructions and matrices to represent translations, reflections, rotations and dilationsATranslate, dilate and reflect quadratic and exponential functions8'Translate, dilate and reflect functionsqPerform simple transformations and their compositions on linear, quadratic, logarithmic and exponential functionsh<Identify types of symmetries of 2 and 3dimensional figuresDraw and use vertexedge graphs or networks to find optimal solutions and draw representations of 3dimensional geometric objects from different perspectiveslDraw representations of 3dimensional geometric objects from different perspectives using a variety of tools5Compare and contrast between angle and radian measureSolve problems of angle measure, including those involving triangles or other polygons and of parallel lines cut by a transversalFSolve problems of angle measure of parallel lines cut by a transversalcDetermine the surface area and volume of geometric figures, including cones, spheres, and cylinders*Apply concepts of successive approximation,Analyze concepts of successive approximationqCompare and order rational and irrational numbers, including finding their approximate locations on a number lineDUse real numbers and various models, drawing, etc. to solve problemseUse a variety of representations to demonstrate an understanding of very large and very small numbersDescribe the effects operations, such as multiplication, division, and computing powers and roots on the magnitude of quantitiesApply operations to real numbers, using mental computation or paperandpencil calculations for simple cases and technology for more complicated casesApply operations to matrices and complex numbers, using mental computation or paperandpencil calculations for simple cases and technology for more complicated casesDJudge the reasonableness of numerical computations and their results_Judge the reasonableness of numerical computations and their results, including complex numbers$Solve problems involving proportions1.61.103.33.23.61.21.83.53.14.11.7Numbers and OperationsAlgebraic Relationships#Geometric and Spatial RelationshipsMeasurementData and Probability,Understand patterns, relations and functionsTRepresent and analyze mathematical situations and structures using algebraic symbolsNUse mathematical models to represent and understand quantitative relationships"Analyze change in various contextsrFormulate questions that can be addressed with data and collect, organize and display relevant data to answer them>Select and use appropriate statistical methods to analyze dataFDevelop and evaluate inferences and predictions that are based on data2Understand and apply basic concepts of probabilityAnalyze characteristics and properties of two and threedimensional geometric shapes and develop mathematical arguments about geometric relationshipsqSpecify locations and describe spatial relationships using coordinate geometry and other representational systemsIApply transformations and use symmetry to analyze mathematical situationsMUse visualization, spatial reasoning and geometric modeling to solve problems_Understand measurable attributes of objects and the units, systems and processes of measurementJApply appropriate techniques, tools and formulas to determine measurements`Understand numbers, ways of representing numbers, relationships among numbers and number systemsDUnderstand meanings of operations and how they relate to one another.Compute fluently and make reasonable estimatesRecognize and extend patternsCreate and analyze patterns$Classify objects and representationsIdentify and compare functions)Describe the effects of parameter changes!Represent mathematical situations*Describe and use mathematical manipulationUtilize equivalent formsUtilize systemsUse mathematical modelsAnalyze changeFormulate questionsClassify and organize dataRepresent and interpret dataDescribe and analyze dataCompare data representationsRepresent data algebraicallyDevelop and evaluate inferences$Analyze basic statistical techniques#Apply basic concepts of probability Use and describe compound events(Describe and use geometric relationshipsApply geometric relationshipsCompose and decompose shapesUse coordinate systemsUse transformations on objects Use transformations on functionsUse symmetry4Recognize and draw threedimensional representationsDraw and use visual modelsDetermine unit of measurementIdentify equivalent measuresTell and use units of timeCount and compute money(Use standard or nonstandard measurementUse angle measurementApply geometric measurementsAnalyze precisionUse relationships within a measurement systemRead, write and compare numbers"Represent and use rational numbersCompose and decompose numbers+Classify and describe numeric relationshipsRepresent operationsDescribe effects of operationsApply properties of operations,Apply operations on real and complex numbers'Describe or represent mental strategiesDevelop and demonstrate fluencyCompute problemsEstimate and justify solutionsUse proportional reasoningAddition, subtraction, multiplication and division; other number sense, including numeration and estimation; and the application of the operations and concepts in the workplace and other situationsGeometric and spatial sense involving measurement (including length, area, volume), trigonometry, and similarity and transformations of shapes)Data analysis, probability and statisticsiPatterns and relationships within and among functions and algebraic, geometric and trigonometric conceptsMathematical systems (including real numbers, whole numbers, integers, fractions), geometry, and number theory (including primes, factors, multiples)JDiscrete mathematics (such as graph theory, counting techniques, matrices) DOK_LEVELEGeneralize patterns using explicitly or recursively defined functionsACompare and contrast various forms of representations of patterns&GUnderstand and compare the properties of linear and nonlinear functions)oUnderstand and compare the properties of linear, exponential and quadratic functions (include domain and range))Understand and compare the properties of linear, quadratic, exponential, logarithmic, rational and periodic functions (include asymptotes))zDescribe the effects of parameter changes on linear, exponential growth/decay and quadratic functions including intercepts6Describe the effects of parameter changes on functionsPDescribe the effects of parameter changes on quadratic and exponential functionsRDescribe the effects of parameter changes on logarithmic and exponential functionsUse symbolic algebra to represent and solve problems that involve linear and quadratic relationships including equations and inequalitiesvUse symbolic algebra to represent and solve problems that involve exponential, quadratic and logarithmic relationshipsUse symbolic algebra to represent and solve problems that involve quadratic relationships, including recursive relationshipsUse symbolic algebra to represent and solve problems that involve exponential and logarithmic relationships, including recursive and parametric relationshipsDescribe and use algebraic manipulations, including factoring and rules of integer exponents and apply properties of exponents (including order of operations) to simplify expressionsgMDescribe and use algebraic manipulations, inverse or composition of functions*yDescribe and use algebraic manipulations, including inverse of functions, composition of functions and rules of exponents49Draw or use visual models to represent and solve problemsDescribe the effects of operations, such as multiplication, division and computing powers and roots on magnitudes of quantities and effects of computation on precision which include the judging of reasonableness of numerical< computations and their resultsGAnalyze effects of computation on accuracy and precision in measurement/#Use unit analysis to solve problemsaUse unit analysis to solve problems involving rates, such as speed, density or population densityHApply properties of exponents to simplify expressions or solve equationsIApply properties of logarithms to simplify expressions or solve equations
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