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?zGoalsyDOK bContent_AreaStrandBig_IdeaConceptGradeGLE_CodeDOKContent_StandardGoalsGLE_Description1AKBC34D25678EGDEPTH_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_DESCRIPTIONMathematicsMN1Recognize or repeat sequences of sounds or shapesCExtend patterns of sound, shape, motion or a simple numeric patternZDescribe and extend simple numberic patterns and change from one representation to anotherDExtend geometric (shapes) and numeric patterns to find the next term'Describe geometric and numeric patternsFMake and describe generalizations about geometric and numeric patternsCreate and continue patterns4Describe how simple repeating patterns are generated&2Describe how simple growing patterns are generated$0Represent patterns using words, tables or graphs/Analyze patterns using words, tables and graphs=Represent and analyze patterns using words, tables and graphsVRepresent and describe patterns with tables, graphs, pictures, symbolic rules or words?MrAnalyze patterns represented graphically or numerically with words or symbolic rules, including recursive notation(,8FT`pGeneralize patterns represented graphically or numerically with words or symbolic rules, using explicit notation +/;IW_=Compare various forms of representations to identify patterns(ACompare and contrast various forms of representations of patterns&5?Identify functions as linear or nonlinear from tables or graphs )JIdentify functions as linear or nonlinear from tables, graphs or equations )eUsing addition or subtraction, represent a mathematical situation as an expression or number sentenceHR\Using all operations, represent a mathematical situation as an expression or number sentence?IuUsing all operations, represent a mathematical situation as an expression or number sentence using a letter or symbol?ImUse symbolic algebra to represent unknown quantities in expressions or equations and solve onestep equations}Use symbolic algebra to represent unknown quantities in expressions or equations and solve linear equations with one variableVUse symbolic algebra to represent and solve problems that involve linear relationshipsMApply the commutative and associative properties of addition to whole numbers^Solve problems with whole numbers using the commutative and associative properties of addition]Use the commutative, distributive and associative properties for basic facts of whole numbers1GrUse the commutative, distributive and associative properties of addition and multiplication for multidigit numbers1WUse the commutative, distributive and associative properties for fractions and decimals1zUse the commutative, distributive and associative properties to generate equivalent forms for simple algebraic expressions1yUse properties to generate equivalent forms for simple algebraic expressions that include positive rationals and integersgUse properties to generate equivalent forms for simple algebraic expressions that include all rationalsOModel situations that involve whole numbers, using pictures, objects or symbols_Model situations that involve the addition of whole numbers, using pictures, objects or symbolskModel situations that involve addition and subtraction of whole numbers, using pictures, objects or symbolsKModel problem situations, including multiplication with objects or drawingsZModel problem situations, using representations such as graphs, tables or number sentencesnModel problem situations and draw conclusions, using representations such as graphs, tables or number sentencekModel and solve problems, using multiple representations such as tables, expressions and onestep equationsqModel and solve problems, using multiple representations such as graphs, tables, expressions and linear equationseModel and solve problems, using multiple representations such as graphs, tables, and linear equations<Describe qualitative change, such as students growing taller KDescribe quantitative change, such as students growing two inches in a year HDescribe mathematical relationship< s in terms of constant rates of changePIdentify, model and describe situations with constant or varying rates of changedConstruct and analyze representations to compare situations with constant or varying rates of change;Compare situations with constant or varying rates of changecAnalyze the nature of changes (including slope an intercepts) in quantities in linear relationshipsFPose questions and gather data about themselves and their surroundings1Design investigations to address a given question8Collect data using observations, surveys and experiments Evaluate datacollection methodsKFormulate questions, design studies and collect data about a characteristic(Sort items according to their attributes5Sort and classify items according to their attributesWSort and classify items according to their attributes and organize data about the items$Create graphs using physical objectsFRepresent onetoone correspondence data using pictures and bar graphsGRepresent onetomany correspondence data using pictures and bar graphsPRead and interpret information from line plots and graphs (bar, line, pictorial)ZCreate tables or graphs to represent categorical and numerical data (including line plots)RDescribe methods to collect, organize and represent categorical and numerical dataAInterpret circle graphs; create and interpret stemandleaf plotshSelect, create and use appropriate graphical representation of data, including circle graphs, histograms~Select, create and use appropriate graphical representation of data (including scatter plots) and box plots (box and whiskers)6Describe the shape of data and analyze it for patterns+Describe important features of the data setCompare related data setsFFind the range and measures of center, including median, mode and meanGFind, use and interpret measures of center and spread, including rangeshFind, use and interpret measures of center, outliers and spread, including range and interquartile rangeCompare different representations of the same data and evaluate how well each representation shows important aspects of the dataEDiscuss events related to students' experiences as likely or unlikelyOGiven a set of data, propose and justify conclusions that are based on the data1Given a set of data, make and justify predictionsUse observations about differences between 2 samples to make conjectures about the populations from which the samples were taken~Use observations about differences between samples to make conjectures about the populations from which the samples were takenMake conjectures about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fitfDescribe the degree of likelihood of events using such words as certain, equally likely and impossiblehUse a model (diagrams, list, sample space or area model) to illustrate the possible outcomes of an eventUse models to compute the probability of an event and make conjectures (based on theoretical probability) about the results of experimentsIdentify and describe 2 and 3dimensional shapes using physical models (circle, rhombus, rectangle, triangle, sphere, rectangular prism, cylinder, pyramid) that represent shapes in their environmentIdentify, name and describe 2 and 3dimensional shapes using physical models (circle, triangle, trapezoid, rectangle, rhombus, sphere, rectangular, prism, cylinder, pyramid)Describe attributes and parts of 2 and 3dimensional shapes (circle, triangle, trapezoid, rectangle, rhombus, sphere, rectangular prism, cylinder, pyramid) yCompare and analyze 2dimensional shapes by describing their attributes (circle, rectangle, rhombus, trapezoid, triangle)=GName and identify properties of 1, 2, and 3dimensional shapes and describe the attributes of 2 and 3dimensional shapes using appropriate geometric vocabulary (rectangular prism, cylinder, pyramid, sphere, cone, parallelism, perpendicularity)MAnalyze and classify 2 and 3dimensional shapes by describing the attributesC%Identify similar and congruent shapesAIdentify the 2dimensional crosssection of a 3dimensional shapeDescribe, classify and generalize relationships between and among types of a) 2dimensional objects and b) 3dimensional objects using their defining properties including Pythagorean TheoremxDescribe relationships betwee corresponding sides, corresponding angles and corresponding perimeters of similar polygons13Gh8Use models to compose and decompose 2dimensional shapesTPredict the results of putting together and taking apart 2 and 3dimensional shapesFDescribe the results of subdividing, combining and transforming shapes3QPredict and justify the results of subdividing, combining and transforming shapes>VDescribe, name and interpret relative positions in space (above, below, front, behind)FDescribe, name and interpret relative positions in space (left, right)IIdentify locations with simple relationships on a map (coordinate system)wDescribe location using common language and geometric vocabulary (forward, back, left, right, north, south, east, west)wDescribe movement using common language and geometric vocabulary (forward, back, left, right, north, south, east, west)Use coordinate systems to specify locations, describe paths and find the distance between points along horizontal and vertical lines4Use coordinate systems to construct geometric shapespUse coordinate GOmetry to construct and identify geometric shapes in the coordinate plane using their properties}Use coordinate GOmetry to analyze properties of right triangles and quadrilaterals (including use of the Pythagorean Theorem)fUse manipulatives to recognize from different perspectives and orientations models of slides and turns Use manipulatives to model flips+Use manipulatives to model slides and turnsDDetermine if two objects are congruent through a slide, flip or turn&xPredict the results of sliding/translating, flipping/reflecting or turning/rotating around the center point of a polygonkPredict, draw and describe the results of sliding/translating, flipping/reflecting or turning/rotating around a center point of a polygon*xDescribe the transformation from a given preimage using the terms reflection/flip, rotation/turn, and translation/slideCbg[Reposition shapes under formal transformations such as reflection, rotation and translationDescribe the relationship between the scale factor and the perimeter of the image using a dilation (contractionsmagnifications) (stretching/shrinking)ZtDescribe the relationship between the scale factor and the area of the image using a dilation (stretching/shrinking)U^#Recognize shapes that have symmetry Create shapes that have symmetry&Identify lines of symmetry in polygonsRCreate a figure with multiple lines of symmetry and identify the lines of symmetry6Identify polygons and designs with rotational symmetry#4Create polygons and designs with rotational symmetry!Determine all lines of symmetry of a polygons@Identify the number of rotational symmetries of regular polygons>Given the picture of a prism, identify the shapes of the facesFGiven the net of a prism or cylinder, identify the 3dimensional shape
LUse spatial visualization to identify isometric representations of mat plans&?CXUse spatial visualizations to identify various 2dimensional views of isometric drawingsF/Create isometric drawings from a given mat plan'9Draw or use visual models to represent and solve problems;Compare and order objects according to their size or weight^Select the appropriate tool for the attribute being measured (size, temperature, time, weight)$Select an appropriate unit and tool for the attribute being measured (size, temperature, time, weight) and to the nearest inch, centimeter, degree, hour and pound,5PIdentify, justify and use the appr< opriate unit of measure (linear, time, weight)ZIdentify and justify the unit of linear measure including perimeter and (customary metric)HIdentify and justify the unit of measure for area (customary and metric)SIdentify and justify the unit of measure for area and volume (customary and metric)JIdentify and justify the unit of measure for volume (customary and metric)BIdentify equivalent linear measures within a system of measurementXIdentify the equivalent weights and equivalent capacities within a system of measurementrIdentify the equivalent area and volume measures within a system of measurement (e.g., sq ft. to sq in, m3 to cm3)ijpqGDescribe passage of time using terms such as today, yesterday, tomorrow"Tell time to the nearest half hour.Tell time to the nearest fourth (quarter) hour%Tell time to the nearest five minutesTell time to the nearest minute9Solve problems involving elapsed time (hours and minutes)TSolve problems involving addition and subtraction of time (hours, minutes and sECds)@Identify and know the value of a penny, nickel, dime and quarter/Count money to a dollar, including half dollarsMake change from a dollarFDetermine change from $5.00 and add and subtract money values to $5.00HDetermine change from $10.00 and add and subtract money values to $10.00@Measure objects by comparison of lengths (shorter, same, longer)pUse repetition of a single unit to measure something larger than the unit (e.g. length of book with paper clips)kUse standard units of measure (cm, inch) and the inverse relationships between the size and number of units=Use a referent for measures to make comparisons and estimatesMSelect and use benchmarks to estimate measurements (linear, capacity, weight)ySelect and use benchmarks to estimate measurements of 0, 45 (acute), 90 (right) greater than 90 (obtuse) degree anglesAIdentify and justify an angle as acute, obtuse, straight or rightuUse tools to measure angles to the nearest degree and classify that angle as acute, obtuse, right, straight or reflexlSolve problems of angle measure, including those involving triangles and parallel lines cut by a transversal#Determine the perimeter of polygons_Determine and justify areas of polygons and nonpolygonal regions imposed on a rectangular gridsDetermine volume by finding the total number of the same size units needed to fill a space without gaps or overlaps:Solve problems involving the area or perimeter of polygonsSolve problems involving circumference and/or area of a circle and surface area/volume of a rectangular or triangular prism, or cylindercAnalyze precision and accuracy in measurement situations and determine number of significant digits]Convert from one unit to another within a system of linear measurement (customary and metric)XConvert from one unit to another within a system of linear measurement (mass and weight)Convert from one unit to another within a system of measurement (capacity) and convert square or cubic units within the same system of measurement0Rote count to 100 and recognize numbers up to 313Read, write and compare whole numbers less than 1004Read, write and compare whole numbers less than 10002Read, write and compare whole numbers up to 10,0007Read, write and compare whole numbers less than 100,000Read, write and compare whole numbers less than 1,000,000, unit fractions and decimals to hundredths (including location on the number line);IApply and understand whole numbers to millions, fractions and decimals to the thousandths (including location on a number line)dCompare and order all positive rational numbers and find their approximate location on a number line/oCompare and order all rational numbers including percents, and find their approximate location on a number lineRecognize 1/2 of a shape Recognize 1/2 and 1/4 of a shape#Recognize unit fractions of a shape%Represents halves, thirds and fourthsYUse models, benchmarks (0, 1/2 and 1) and equivalent forms to judge the size of fractionsORecognize and generate equivalent forms of commonly used fractions and decimals+8URecognize and generate equivalent forms of fractions, decimals and benchmark percentsCLKRecognize and generate equivalent forms of fractions, decimals and percents6Use fractions, decimals and percents to solve problems=Use concrete objects to compose and decompose values up to 10Compose or decompose whole numbers up to 20 using multiple strategies such as known facts, doubles and close to doubles, tens, and one place valuegwCompose or decompose numbers by using a variety of strategies, such as using known facts, tens place value or landmark numbers to solve problemsn~Recognize equivalent representations for the same number and generate them by decomposing and composing numbers including expanded notationNooRecognize equivalent representations for the same number and generate them by decomposing and composing numbersNRecognize equivalent representations for the same number and generate them by decomposing and composing numbers, including exponential notationNoRecognize equivalent representations for the same number and generate them by decomposing and composing numbers, including scientific notationNoSkip count by 2s, 5s and 10s/Skip count by multiples of numbers less than 10AClassify numbers by their characteristics, including odd and evenbClassify and describe numbers by their characteristics, including odd, even, multiples and factorsBDescribe numbers according to their characteristics, including whole number common factors and multiples, prime or composite, and square numbersLyRepresent/model a given situation involving addition and subtraction of whole numbers using pictures, objects, or symbolsZRepresent/model a given situation involving twodigit whole number addition or subtractionRepresent/model a given situation involving multiplication and related division using various models including sets, arrays, areas, repeated addition/subtraction, sharing and partitioningRepresent and recognize multiplication and related division using various models, including equal intervals on the nubmer line, equal size groups, distributive property, etc.XRepresent and recognize division using various models, including quotative and partitiveAJOsDescribe the effects of adding and subtracting whole numbers as well as the relationship between the two operationsuDescribe the effects of multiplying and dividing whole numbers as well as the relationship between the two operationsJDescribe the effects of addition and subtraction on fractions and decimalsMDescribe the effects of multiplication and division on fractions and decimalsMDescribe the effects of all operations on rational numbers including integers*:[Apply properties of operations (including order of operations) to positive rational numbershApply properties of operations (including order of operations) to positive rational numbers and integerskApply properties of operations to all rational numbers including order of operations and inverse operationsLIdentify square and cubic numbers and determine whole number roots and cubesAApproximate the value of square roots to the nearest whole number[Describe or represent the mental strategy used to compute addition and subtraction problemszDescribe or notate the mental strategy used to compute addition or subtraction of whole numbers, including 2digit numbersVRepresent a mental strategy used to compute a given multiplication problem up to 9 x 9qRepresent a mental strategy used to compute a given multiplication problem (up to 2digit by 2digit multiple of)Describe a mental strategy used to compute a given division problem, where the quotient is a multiple of 10 and the divisor is a 1digit number (e.g., 350/7);Connect number words (orally) and quantities they representoUse strategies to develop< fluency with basic number relationships of addition and subtraction for sums up to 20!xDemonstrate fluency including quick recall with basic number relationships of addition and subtraction for sums up to 20hUse strategies to develop fluency with basic number relationships (9 x 9) of multiplication and division!jDemonstrate fluency with basic number relationships (12 x 12) of multiplication and related division factsDemonstrate fluency with efficient procedures for adding and subtracting decimals and fractions (with unlike denominators) and division of whole numbersNApply and describe the strategy used to solve addition or subtraction problemshApply and describe the strategy used to compute 2digit addition or subtraction problems with regrouping^Apply and describe the strategy used to compute up to 3digit addition or subtraction problemsApply and describe the strategy used to compute a given multiplication of 2digit by 2digit numbers and related division factsApply and describe the strategy used to compute a division problem up to a 3digit by 2digit and addition and subtraction of fractions and decimalsMultiply and divide positive rational numbers;Apply all operations on rational numbers including integers.Estimate sums and differences of whole numbers:Estimate and justify sums and differences of whole numbers.Estimate and justify products of whole numbersoEstimate and justify products, and quotients of whole numbers and sums of differences of decimals and fractions\Estimate and justify the results of multiplication and division of positive rational numbersFEstimate and justify the results of all operations on rational numbers%Solve problems using ratios and ratesSSolve problems involving proportions, such as scaling and finding equivalent ratios1.61.103.33.23.61.6,3.61.21.83.5 1.10, 3.23.83.11.7Numbers 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, 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