Math - Student Record Sheet



CONTENT STANDARDS FOR CALIFORNIA SCHOOLSSTUDENTTRACKINGMathematicsIndividual Student Profile for Kindergarten: Mathematics StandardsStudent's NameNumber SenseMeasurement and Geometry1.0Numbers and Quantities1.0Measurement1.1Compare sets of objects to 101.1Compare length, weight, ... of objects1.2Count, name, & order numbers to 301.2Know time (morning, yesterday, etc.)1.3Larger numbers = larger sets1.3Name days of the week1.4Identify time to nearest hour2.0Addition and Subtraction2.1Use concrete objects to add & subt. 2.0Geometry2.1Identify/describe geometric objects3.0Estimation2.2Compare plane/solid objects3.1Recognize reasonable estimatesStatistics, Data Analysis, and ProbabilityAlgebra and Functions1.0Collecting Information1.0Sorting and Classifying Objects1.1Record data using picture graphs1.1Identify, sort, classify by attribute1.2Describe, extend simple patternsMathematical Reasoning1.0Make Decisions about a Problem1.1Determine strategies to be used1.2Use tools to model problems2.0Solve Problems/Justify Reasoning2.1Use concrete objects/pictorial repres.2.2Make precise calculations/validityIndividual Student Profile for First Grade: Mathematics StandardsStudent's NameNumber SenseStatistics, Data Analysis, and Probability1.0Place Value1.0Data1.1Count/read/write numbers to 1001.1Sort objects/data by attributes1.2Compare/order numbers to 1001.2Represent data on bar graphs ....1.3Equivalent forms of numbers to 1001.4Count/group object in ones and tens2.0Patterning1.5Identify and know the value of coins2.1Extend next element in patterns2.0Addition and SubtractionMathematical Reasoning2.1Know add./subt. facts to 201.0Make Decisions about a Problem2.2Use the inverse relationship1.1Determine approach to be used2.3Identify 1 more than/less, 10 more ...1.2Use tools to model problems2.4Count by 2s, 5s, and 10s to 1002.5Showing meaning of add. and subt.2.0Solve Problems/Justify Reasoning2.6Solve add. and subt. with 1 & 2 digits2.1Explain the reasoning used2.7Find sum of 3 one-digit numbers2.2Make precise calculations/validity3.0Estimation3.0Make Connections3.1Make reasonable estimates w/numbers 3.1Make connections between problemsAlgebra and Functions1.0Number Sentences1.1Write/solve number sentences1.2Know meaning of symbols +, -, =1.3Create problem situations/# sent.Measurement and Geometry1.0Measurement1.1Compare length .... 2 or more objects1.2Tell time to nearest half hour2.0Geometry2.1Identify/describe/compare shapes2.2Classify plane and solid objects2.3Give and follow directions to location2.4Describe objects in space by positionIndividual Student Profile for Second Grade: Mathematics StandardsStudent's NameNumber SenseMeasurement and Geometry1.0Place Value1.0Measurement1.1Count/read/write numbers to 1,0001.1Measure lengths of objects1.2Use expanded forms to represent #s 1.2Use diff. units/measure same object1.3Order/compare numbers to 1,0001.3Measure to nearest inch/centimeter1.4Tell time to nearest 1/4 hour2.0Addition and Subtraction1.5Duration of time intervals in hrs. 2.1Inverse relationship between + & -2.2Add./subt. 3-digit numbers2.0Geometry2.3Use mental math/+ & - 2-digit #s2.1Classify plane/solid geom. shapes2.2Form other shapes from shapes3.0Multiplication and Division3.1Use repeated addition to multiplyStatistics, Data Analysis, and Probability3.2Use repeated subtraction to divide1.0Data3.3Know mult. facts of 2s, 5s, and 10s1.1Record numerical data1.2Represent same data in diff. ways4.0Fractions and Decimals1.3Identify range/mode of data sets4.1Name/compare fractions 1/12 - 1/21.4Ask/answer questions about data4.2Recognize fractions of a whole group4.3Know what fractions equal a whole2.0Patterning2.1Recognize/describe/extend patterns5.0Computation - Money2.2Solve problems using # patterns5.1Solve problems with coins/bills5.2Use decimal notation/ $ and ? signMathematical Reasoning1.0Make Decisions about a Problem6.0Estimation1.1Determine approach to be used6.1Recognize reasonable estimates1.2Use tools to model problemsAlgebra and Functions2.0Solve Problems/Justify Reasoning1.0Number Relationships2.1Explain the reasoning used1.1Use commutative/associative rules2.2Make precise calculations/validity1.2Relate problems to + & - no. sent.1.3Solve + & - problems from charts3.0Make Connections3.1Make connections between problemsIndividual Student Profile for Third Grade: Mathematics StandardsStudent's NameNumber SenseMeasurement and Geometry1.0Place Value1.0Measurement1.1Count/read/write numbers to 10,0001.1Choose appropriate tools to measure1.2Order whole numbers to 10,0001.2Find area & volume of solid figures1.3Identify place value to 10,0001.3Find perimeter of a polygon1.4Round to nearest 10, 100, 1,0001.4Find unit conversions within a system1.5Use expanded notation2.0Geometry2.0Computation - Whole Numbers2.1Identify, describe, classify polygons2.1Add/subt. numbers from 0 - 10,0002.2Identify attributes of triangles2.2Memorize mult. tables to 10 X 102.3Identify attributes of quadrilaterals2.3Use inverse of X and ÷ to check results2.4Identify right angles in geom. figures2.4Multiply whole numbers by one-digit2.5Identify/classify 3-dimensional objects2.5Divide whole numbers by one-digit2.6Identify components of a solid object2.6Understand properties of 0 and 12.7Determine unit cost from total costStatistics, Data Analysis, and Probability2.8Solve problems using above skills1.0Data1.1Common events/certain/unlikely, etc.3.0Fractions and Decimals1.2Record outcomes of a simple event3.1Compare fractions using drawings1.3Display results/probability experim.3.2Add and subtract simple fractions1.4Predict future events from experiment3.3Add/subt./mult./div. money amounts3.4Fractions/decimals show same amount Mathematical Reasoning1.0Make Decisions about a ProblemAlgebra and Functions1.1Analyze problems1.0Number Relationships1.2Show when/how to break apart problem1.1Write numerical expressions ...1.2Solve numeric equations/inequalities2.0Solve Problems/Justify Reasoning1.3Insert symbols/make expression true2.1Use estimation/verify results1.4Express unit conversions by equations2.2Apply strategies to complex problems1.5Commutative/associative properties2.3Use methods to explain math reasoning2.4Express solutions clearly2.0Functional Relationships2.5Advantage of exact/approximate results2.1Find total cost of multiple items2.6Make precise calculation/validity2.2Extend/recognize linear patterns3.0Make Connections 3.1Evaluate reasonableness of a result3.2Note methods of deriving solution3.3Develop generalization of the resultIndividual Student Profile for Fourth Grade: Mathematics StandardsStudent's Name:Number Sense2.0Coordinate Grids1.0Place Value2.1Draw points on a graph (y=3x)1.1Read/write numbers to millions2.2Understand horizontal line on graph1.2Order whole #s/two place decimals2.3Understand vertical line on graph1.3Round numbers to nearest 100,0001.4Decide when rounded solution is good3.0Geometry1.5Divide whole number by whole no.3.1Parallel/perpendicular lines1.6Write 10ths/100ths in decimal/fract.3.2Radius/diameter of a circle1.7Write fraction from drawing of parts3.3Identify congruent figures1.8Use concepts of negative numbers3.4Bilateral/rotational symmetry1.9Show fractions on a number line3.5Know right/acute/obtuse angles3.6Make models of geometric solids2.0Computation - Decimals3.7Definition/attributes of triangles2.1Add./subt. whole nos./2-place decimal3.8Definition of quadrilaterals 2.2Round two-place decimalsStatistics, Data Analysis, and Probability3.0Computation - Whole Numbers1.0Data3.1Add and subtract multidigit numbers1.1Collect and represent data3.2Mult. by two digits/Divide by one digit1.2Identify mode/medium of data sets3.3Multiply multidigits by two digit no.1.3Interpret 1 & 2-variable data graph3.4Divide multidigits by one digit number2.0Making Predictions4.0Factoring2.1State outcomes/probability situations4.1Factor whole numbers 2.2Express outcomes/probability exper.4.2Certain numbers do not have factorsMathematical ReasoningAlgebra and Functions1.0Make Decisions about a Problem1.0Number Sentences/Expressions1.1Identify relationships in problems1.1Letters/symbols may represent #s1.2When/how to break apart problems1.2Math expressions using parentheses1.3Order of operations using parentheses2.0Solve Problems/Justify Reasoning1.4Use and interpret formulas2.1Use estimation to verify results1.5Equations are prescriptions to find a #2.2Apply strategies to complex problems2.3Use methods to explain math reasoning2.0More Equations2.4Express solutions clearly2.1Equals added to equals are equal2.5Advantage of exact/approximate results2.2Equals multiplied by equals are equal2.6Make precise calculations/validityMeasurement and Geometry3.0Make Connections1.0Area and Perimeter3.1Evaluate reasonableness of a result1.1Measure area of rectangular shapes3.2Note methods of deriving solution1.2Compare rectangles with same area 3.3Develop generalization of the result1.3Rectangles with same perimeter1.4Formulas for perimeter and areaIndividual Student Profile for Fifth Grade: Mathematics StandardsStudent's Name:Number SenseStatistics, Data Analysis, and Probability1.0Relative Magnitude of Numbers1.0Data1.1Round very large/small numbers1.1Compute mean/medium/mode1.2Find and compute percent1.2Organize/display single-variable data1.3Compute positive integer powers1.3Compare data sets with fract./percent.1.4Determine prime factors of #s to 501.4Identify/interpret data from a graph1.5Order decimals/fract/positive/neg. #1.5Write ordered pairs correctly2.0ComputationMathematical Reasoning2.1Compute decimals, neg. integers, etc.1.0Make Decisions about a Problem2.2Divide by multidigit divisor/decimals1.1Identify relationships in problems2.3Add/Subtract fractions and mixed no.1.2When/how to break problems into parts2.4Understand mult. and div. of fractions2.5Multiply and divide fractions2.0Solve Problems/Justify Reasoning2.1Use estimation to verify resultsAlgebra and Functions2.2Apply strategies to complex problems1.0Simple Expressions2.3Use methods to explain math reasoning1.1Use graphs/equations to answer quest.2.4Express solutions clearly1.2Write/evaluate simple algebraic exp.2.5Advantage of exact/approximate results1.3Use the distributive property2.6Make precise calculations/validity1.4Identify and graph ordered pairs1.5Linear functions with integer values3.0Make Connections3.1Evaluate reasonableness of a resultMeasurement and Geometry3.2Note methods of deriving solution1.0Area and Volume3.3Develop generalization of the result1.1Compare formulas of geometric shapes1.2Compute surface area of cube, etc.1.3Compute volume of rectangular solid1.4Measure 2- & 3-dimensional objects2.0Geometry2.1Draw angles, lines, shapes with tools2.2Know sum of angles of shapes2.3Draw 3-dimensional objects Individual Student Profile for Sixth Grade: Mathematics StandardsStudent's Name:Number SenseStatistics, Data Analysis, and Probability1.0Comparing and Ordering Numbers1.0Data1.1Order fractions/decimals/mixed #s1.1Compute range/mean/median/mode1.2Use ratios to show relative sizes of #s1.2Additional data affects data sets1.3Use proportions to solve problems1.3Outliers/measure of central tendency1.4Calculate given percentages of #s1.4Central tendency provides useful info.2.0Calculating2.0Limitations2.1Compute positive fractions2.1Determine use of a sample data set2.2Explain mult./div. of positive fract.2.2Identify ways of selecting a sample2.3Compute positive & negative integers2.3Analyze ways results are influenced2.4Find LCM and GCF of whole numbers2.4Identify data sampling errors2.5Claims based on statistical dataAlgebra and Functions1.0Writing Expressions3.0Probabilities1.1Solve one-step linear equations3.1Represent outcomes of events1.2Algebraic expression / 3 variables3.2Use data to estimate future events1.3Evaluate expressions using tools3.3Represent probabilities as ratios, etc.1.4Use order of operations to solve prob.3.4Understand probabilities3.5Independent/dependent events2.0Rates and Proportions2.1Convert 1 unit of measure to anotherMathematical Reasoning2.2Define and use rate1.0Make Decisions about a Problem2.3Rates/average speed/distance/time1.1Identify relationships in problems1.2Justify mathematical conjectures3.0Patterns1.3When/how to break apart problems3.1Use expressions/ describe quantities3.2Express geometric relationships2.0Solve Problems/Justify Reasoning2.1Use estimation to verify resultsMeasurement and Geometry2.2Apply strategies to complex problems1.0Area and Volume2.3Estimate unknown quantities graphically1.1Find circumference/area of circle2.4Use methods to explain math reasoning1.2Use value of pi/area/circum. of circle2.5Express solutions clearly1.3Find volume/triangular prism/cyl.2.6Advantage of exact/approximate results2.7Make precise calculations/validity2.0Geometry2.1Identify angles as vertical, etc.3.0Make Connections2.2Solve problems/unknown angle3.1Evaluate reasonableness of a result2.3Draw quadrilaterals/triangles3.2Note methods of deriving solution3.3Develop generalization of the resultIndividual Student Profile for Seventh Grade: Mathematics StandardsStudent's Name:Number Sense1.0Computing2.0Perimeter and Area1.1Read/write/compare rational nos.2.1Area/perimeter/2-dimensional shapes1.2Compute rational numbers2.2Area of complex 2 and 3D shapes1.3Convert fractions/decimals/percent2.3Compute area/perimeter/volume1.4Differentiate rational/irrational #s2.4As meas. changes/scale meas. change1.5Nos../terminating/repeating decimal1.6Calculate percent increase/decrease3.0Geometry1.7Compute simple/compound interest3.1Use tools/construct geometric figures3.2Plot figures using coordinate graphs2.0Fractions3.3Know/use the Pythagorean theorem2.1Mult./div. expressions with exponents3.4How two geom. figures are congruent2.2Add. and subt. unlike fractions3.5Construct 2D patterns from 3D models.2.3Mult./div. rational nos./exponent rule3.6Identify elements of 3D figures2.4Raising to a power, extracting the root2.5Understand absolute value of a no.Statistics, Data Analysis, and Probability1.0DataAlgebra and Functions1.1Various forms to display data sets1.0Writing Expressions1.2Draw 2 no. variables on scatterplot1.1Write expressions/use variables1.3For a data set, computer median, etc.1.2Order of operations/algebraic express.1.3Simplify numerical expressionsMathematical Reasoning1.4Use Algebraic terminology1.0Make Decisions about a Problem1.5Graph quantitative relationships1.1Identify relationships in problems1.2Justify mathematical conjectures2.0Evaluating Expressions1.3When/how to break apart problems2.1Whole no. powers as repeated mult.2.2Multiply/divide monomials2.0Solve Problems/Justify Reasoning2.1Use estimation to verify results3.0Linear and Nonlinear Functions2.2Apply strategies to complex problems3.1Graph functions of the form y=nx22.3Estimate unknown quantities graphically3.2Plot value/vol. /3-dimensional shapes2.4Test conjectures using reasoning skills3.3Graph linear functions2.5Use methods to explain math reasoning3.4Plot value with same ratio2.6Express solutions clearly2.7Advantage of exact/approximate results4.0Linear Equations2.8Make precise calculations/validity4.1Solve 2-step linear equat./inequalities4.2Rate/average speed/dist./time prob.3.0Make Connections3.1Evaluate reasonableness of a resultMeasurement and Geometry3.2Note methods of deriving solution1.0Measurement3.3Develop generalization of the result1.1Compare weight/time/capacity/temp.1.2Construct/read scale drawings1.3Use measures to solve problemsIndividual Student Profile for Algebra I: Mathematics StandardsStudent's Name:1.0Identify and use properties of subsets of integers and rational, irrational & real numbers1.1Use properties of numbers to demonstrate whether assertions are true/false2.0Use such operations as taking the opposite and using rules of exponents3.0Solve equations and inequalities involving absolute value4.0Simplify expressions before solving linear equations and inequalities with 1 variable5.0Solve multistep problems involving linear equations and inequalities in one variable6.0Graph a linear equation and compute the x- and y-intercepts7.0Verify that a point lies on a line, given an equation of the line8.0Understand the concept of parallel and perpendicular lines and how slopes are related9.0Algebraically solve a system of two linear equations in two variables10.0Add, subtract, multiply, and divide monomials and polynomials11.0Apply basic factoring techniques to second- and third-degree polynomials12.0Simplify fractions with polynomials13.0Compute rational expressions and functions14.0Solve a quadratic equation15.0Apply algebraic techniques to solve a rate problem16.0Understand the concept of a relation and a function17.0Determine domain of independent variables and range of dependent variables18.0Determine whether a relation is a function19.0Know the quadratic formula and be familiar with its proof20.0Use quadratic formulas to solve quadratic equations21.0Graph quadratic functions22.0Determine if the graph of a quadratic function will intersect x-axis in 0, 1, or 2 points23.0Apply quadratic equations to physical problems24.0Use and know simple aspects of a logical argument:24.1Know the difference between inductive and deductive reasoning24.2Identify the hypothesis and conclusion in logical deductions24.3Use counter examples to show that an assertion is false25.0Use properties of the number system to judge the validity of results25.1Use properties of numbers to construct simple valid arguments25.2Judge the validity of an argument 25.3Determine whether algebraic statements are true sometimes, always, or neverIndividual Student Profile for Geometry: Mathematics StandardsStudent's Name:1.0Identify undefined terms, axioms, theorems, and inductive/deductive reasoning2.0Write geometric proofs/proofs with contradiction3.0Construct and judge the validity of a logical argument4.0Prove basic theorems involving congruence and similarity5.0Prove that triangles are congruent6.0Use the triangle inequality theorem7.0Use theorems involving properties of parallel lines, quadrilaterals, and circles8.0Find the perimeter, circumference, area, volume, lateral area, and surface area of shapes9.0Compute the volume and surface area of geometric shapes10.0Compute the area of polygons11.0Know that changes in dimensions affect the perimeter, area, and volume of shapes12.0Classify figures using the measurement of the sides and angles of triangles and polygons13.0Prove relationships of angles using properties of angles14.0Prove the Pythagorean theorem15.0Use the Pythagorean theorem to find missing lengths of sides of a right triangle16.0Perform basic constructions with a straight edge and compass17.0Prove theorems by using coordinate geometry18.0Know definitions of basic trigonometric functions defined by angles of a right triangle19.0Use trigonometric functions to solve for an unknown length of a side of a right triangle20.0Use angle and side relationships in problems with special right triangles21.0Solve problems with relationships among chords, secants, tangents, inscribed angles, etc.22.0Understand the effect of rigid motions on figures in the coordinate plane and spaceIndividual Student Profile for Algebra II: Mathematics StandardsStudent's Name:1.0Solve equations and inequalities involving absolute value2.0Solve linear equations and inequalities by substitution/graphs/matrices3.0Use operations with polynomials including long division4.0Factor polynomials 5.0Know how real and complex numbers are related6.0Add, subtract, multiply, and divide complex numbers7.0Add, subtract, multiply, divide, reduce, and evaluate rational expressions8.0Solve and graph quadratic equations9.0Explain the effect that changing a coefficient has on the graph of quadratic functions10.0Graph quadratic functions and determine the maxima, minima, and zeros of the function11.0Prove laws of logarithms11.1Understand inverse relationship between exponents and logarithms11.2Judge the validity of an argument12.0Know the laws of fractional exponents13.0Use the definition of logarithms to translate between logarithms in any base14.0Use the properties of logarithms to simplify logarithmic numeric expressions 15.0Determine if a specific algebraic statement is sometimes true, always true, never true16.0Know that the graph of a conic section depends on coefficients of the quadratic equation17.0Given a quadratic equation, put equation in standard form and graph18.0Use counting principles to compute combinations and permutations19.0Use combinations and permutations to compute probabilities20.0Use binomial theorem to expand binomial expressions21.0Apply mathematical induction to prove statements about positive integers22.0Find the general term and the sums of arithmetic and geometric series23.0Derive the summation formulas for arithmetic and geometric series24.0Solve problems involving functional concepts25.0Use properties of number systems to justify steps in combining/simplifying fractionsIndividual Student Profile for Probability and Statistics:Mathematics StandardsStudent's Name:1.0Use & apply addition, multiplication, and complementation rules to solve for probabilities2.0Use the definition of conditional probability to solve for probabilities in finite spaces3.0Use the notion of discrete random variables to solve for probabilities of outcomes4.0Use standard distributions to solve for events in problems 5.0Determine the mean and standard deviation of a normally distributed random variable6.0Understand and compute mean, median, and mode of a distribution of data7.0Compute variance and the standard deviation of a distribution of data8.0Organize and describe distributions of data by using a number of different methods ................
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