CONTENT STANDARDS FOR CALIFORNIA SCHOOLS

STUDENT

TRACKING

Mathematics

Individual Student Profile for Kindergarten: Mathematics Standards
Student's Name
Number Sense / Measurement and Geometry
1.0 / Numbers and Quantities / 1.0 / Measurement
1.1 / Compare sets of objects to 10 / 1.1 / Compare length, weight, ... of objects
1.2 / Count, name, & order numbers to 30 / 1.2 / Know time (morning, yesterday, etc.)
1.3 / Larger numbers = larger sets / 1.3 / Name days of the week
1.4 / Identify time to nearest hour
2.0 / Addition and Subtraction
2.1 / Use concrete objects to add & subt. / 2.0 / Geometry
2.1 / Identify/describe geometric objects
3.0 / Estimation / 2.2 / Compare plane/solid objects
3.1 / Recognize reasonable estimates
Statistics, Data Analysis, and Probability
Algebra and Functions / 1.0 / Collecting Information
1.0 / Sorting and Classifying Objects / 1.1 / Record data using picture graphs
1.1 / Identify, sort, classify by attribute / 1.2 / Describe, extend simple patterns
Mathematical Reasoning
1.0 / Make Decisions about a Problem
1.1 / Determine strategies to be used
1.2 / Use tools to model problems
2.0 / Solve Problems/Justify Reasoning
2.1 / Use concrete objects/pictorial repres.
2.2 / Make precise calculations/validity
Individual Student Profile for First Grade: Mathematics Standards
Student's Name
Number Sense / Statistics, Data Analysis, and Probability
1.0 / Place Value / 1.0 / Data
1.1 / Count/read/write numbers to 100 / 1.1 / Sort objects/data by attributes
1.2 / Compare/order numbers to 100 / 1.2 / Represent data on bar graphs ....
1.3 / Equivalent forms of numbers to 100
1.4 / Count/group object in ones and tens / 2.0 / Patterning
1.5 / Identify and know the value of coins / 2.1 / Extend next element in patterns
2.0 / Addition and Subtraction / Mathematical Reasoning
2.1 / Know add./subt. facts to 20 / 1.0 / Make Decisions about a Problem
2.2 / Use the inverse relationship / 1.1 / Determine approach to be used
2.3 / Identify 1 more than/less, 10 more ... / 1.2 / Use tools to model problems
2.4 / Count by 2s, 5s, and 10s to 100
2.5 / Showing meaning of add. and subt. / 2.0 / Solve Problems/Justify Reasoning
2.6 / Solve add. and subt. with 1 & 2 digits / 2.1 / Explain the reasoning used
2.7 / Find sum of 3 one-digit numbers / 2.2 / Make precise calculations/validity
3.0 / Estimation / 3.0 / Make Connections
3.1 / Make reasonable estimates w/numbers / 3.1 / Make connections between problems
Algebra and Functions
1.0 / Number Sentences
1.1 / Write/solve number sentences
1.2 / Know meaning of symbols +, -, =
1.3 / Create problem situations/# sent.
Measurement and Geometry
1.0 / Measurement
1.1 / Compare length .... 2 or more objects
1.2 / Tell time to nearest half hour
2.0 / Geometry
2.1 / Identify/describe/compare shapes
2.2 / Classify plane and solid objects
2.3 / Give and follow directions to location
2.4 / Describe objects in space by position
Individual Student Profile for Second Grade: Mathematics Standards
Student's Name
Number Sense / Measurement and Geometry
1.0 / Place Value / 1.0 / Measurement
1.1 / Count/read/write numbers to 1,000 / 1.1 / Measure lengths of objects
1.2 / Use expanded forms to represent #s / 1.2 / Use diff. units/measure same object
1.3 / Order/compare numbers to 1,000 / 1.3 / Measure to nearest inch/centimeter
1.4 / Tell time to nearest 1/4 hour
2.0 / Addition and Subtraction / 1.5 / Duration of time intervals in hrs.
2.1 / Inverse relationship between + & -
2.2 / Add./subt. 3-digit numbers / 2.0 / Geometry
2.3 / Use mental math/+ & - 2-digit #s / 2.1 / Classify plane/solid geom. shapes
2.2 / Form other shapes from shapes
3.0 / Multiplication and Division
3.1 / Use repeated addition to multiply / Statistics, Data Analysis, and Probability
3.2 / Use repeated subtraction to divide / 1.0 / Data
3.3 / Know mult. facts of 2s, 5s, and 10s / 1.1 / Record numerical data
1.2 / Represent same data in diff. ways
4.0 / Fractions and Decimals / 1.3 / Identify range/mode of data sets
4.1 / Name/compare fractions 1/12 - 1/2 / 1.4 / Ask/answer questions about data
4.2 / Recognize fractions of a whole group
4.3 / Know what fractions equal a whole / 2.0 / Patterning
2.1 / Recognize/describe/extend patterns
5.0 / Computation - Money / 2.2 / Solve problems using # patterns
5.1 / Solve problems with coins/bills
5.2 / Use decimal notation/ $ and ¢ sign / Mathematical Reasoning
1.0 / Make Decisions about a Problem
6.0 / Estimation / 1.1 / Determine approach to be used
6.1 / Recognize reasonable estimates / 1.2 / Use tools to model problems
Algebra and Functions / 2.0 / Solve Problems/Justify Reasoning
1.0 / Number Relationships / 2.1 / Explain the reasoning used
1.1 / Use commutative/associative rules / 2.2 / Make precise calculations/validity
1.2 / Relate problems to + & - no. sent.
1.3 / Solve + & - problems from charts / 3.0 / Make Connections
3.1 / Make connections between problems
Individual Student Profile for Third Grade: Mathematics Standards
Student's Name
Number Sense / Measurement and Geometry
1.0 / Place Value / 1.0 / Measurement
1.1 / Count/read/write numbers to 10,000 / 1.1 / Choose appropriate tools to measure
1.2 / Order whole numbers to 10,000 / 1.2 / Find area & volume of solid figures
1.3 / Identify place value to 10,000 / 1.3 / Find perimeter of a polygon
1.4 / Round to nearest 10, 100, 1,000 / 1.4 / Find unit conversions within a system
1.5 / Use expanded notation
2.0 / Geometry
2.0 / Computation - Whole Numbers / 2.1 / Identify, describe, classify polygons
2.1 / Add/subt. numbers from 0 - 10,000 / 2.2 / Identify attributes of triangles
2.2 / Memorize mult. tables to 10 X 10 / 2.3 / Identify attributes of quadrilaterals
2.3 / Use inverse of X and ÷ to check results / 2.4 / Identify right angles in geom. figures
2.4 / Multiply whole numbers by one-digit / 2.5 / Identify/classify 3-dimensional objects
2.5 / Divide whole numbers by one-digit / 2.6 / Identify components of a solid object
2.6 / Understand properties of 0 and 1
2.7 / Determine unit cost from total cost / Statistics, Data Analysis, and Probability
2.8 / Solve problems using above skills / 1.0 / Data
1.1 / Common events/certain/unlikely, etc.
3.0 / Fractions and Decimals / 1.2 / Record outcomes of a simple event
3.1 / Compare fractions using drawings / 1.3 / Display results/probability experim.
3.2 / Add and subtract simple fractions / 1.4 / Predict future events from experiment
3.3 / Add/subt./mult./div. money amounts
3.4 / Fractions/decimals show same amount / Mathematical Reasoning
1.0 / Make Decisions about a Problem
Algebra and Functions / 1.1 / Analyze problems
1.0 / Number Relationships / 1.2 / Show when/how to break apart problem
1.1 / Write numerical expressions ...
1.2 / Solve numeric equations/inequalities / 2.0 / Solve Problems/Justify Reasoning
1.3 / Insert symbols/make expression true / 2.1 / Use estimation/verify results
1.4 / Express unit conversions by equations / 2.2 / Apply strategies to complex problems
1.5 / Commutative/associative properties / 2.3 / Use methods to explain math reasoning
2.4 / Express solutions clearly
2.0 / Functional Relationships / 2.5 / Advantage of exact/approximate results
2.1 / Find total cost of multiple items / 2.6 / Make precise calculation/validity
2.2 / Extend/recognize linear patterns
3.0 / Make Connections
3.1 / Evaluate reasonableness of a result
3.2 / Note methods of deriving solution
3.3 / Develop generalization of the result
Individual Student Profile for Fourth Grade: Mathematics Standards
Student's Name:
Number Sense / 2.0 / Coordinate Grids
1.0 / Place Value / 2.1 / Draw points on a graph (y=3x)
1.1 / Read/write numbers to millions / 2.2 / Understand horizontal line on graph
1.2 / Order whole #s/two place decimals / 2.3 / Understand vertical line on graph
1.3 / Round numbers to nearest 100,000
1.4 / Decide when rounded solution is good / 3.0 / Geometry
1.5 / Divide whole number by whole no. / 3.1 / Parallel/perpendicular lines
1.6 / Write 10ths/100ths in decimal/fract. / 3.2 / Radius/diameter of a circle
1.7 / Write fraction from drawing of parts / 3.3 / Identify congruent figures
1.8 / Use concepts of negative numbers / 3.4 / Bilateral/rotational symmetry
1.9 / Show fractions on a number line / 3.5 / Know right/acute/obtuse angles
3.6 / Make models of geometric solids
2.0 / Computation - Decimals / 3.7 / Definition/attributes of triangles
2.1 / Add./subt. whole nos./2-place decimal / 3.8 / Definition of quadrilaterals
2.2 / Round two-place decimals
Statistics, Data Analysis, and Probability
3.0 / Computation - Whole Numbers / 1.0 / Data
3.1 / Add and subtract multidigit numbers / 1.1 / Collect and represent data
3.2 / Mult. by two digits/Divide by one digit / 1.2 / Identify mode/medium of data sets
3.3 / Multiply multidigits by two digit no. / 1.3 / Interpret 1 & 2-variable data graph
3.4 / Divide multidigits by one digit number
2.0 / Making Predictions
4.0 / Factoring / 2.1 / State outcomes/probability situations
4.1 / Factor whole numbers / 2.2 / Express outcomes/probability exper.
4.2 / Certain numbers do not have factors
Mathematical Reasoning
Algebra and Functions / 1.0 / Make Decisions about a Problem
1.0 / Number Sentences/Expressions / 1.1 / Identify relationships in problems
1.1 / Letters/symbols may represent #s / 1.2 / When/how to break apart problems
1.2 / Math expressions using parentheses
1.3 / Order of operations using parentheses / 2.0 / Solve Problems/Justify Reasoning
1.4 / Use and interpret formulas / 2.1 / Use estimation to verify results
1.5 / Equations are prescriptions to find a # / 2.2 / Apply strategies to complex problems
2.3 / Use methods to explain math reasoning
2.0 / More Equations / 2.4 / Express solutions clearly
2.1 / Equals added to equals are equal / 2.5 / Advantage of exact/approximate results
2.2 / Equals multiplied by equals are equal / 2.6 / Make precise calculations/validity
Measurement and Geometry / 3.0 / Make Connections
1.0 / Area and Perimeter / 3.1 / Evaluate reasonableness of a result
1.1 / Measure area of rectangular shapes / 3.2 / Note methods of deriving solution
1.2 / Compare rectangles with same area / 3.3 / Develop generalization of the result
1.3 / Rectangles with same perimeter
1.4 / Formulas for perimeter and area
Individual Student Profile for Fifth Grade: Mathematics Standards
Student's Name:
Number Sense / Statistics, Data Analysis, and Probability
1.0 / Relative Magnitude of Numbers / 1.0 / Data
1.1 / Round very large/small numbers / 1.1 / Compute mean/medium/mode
1.2 / Find and compute percent / 1.2 / Organize/display single-variable data
1.3 / Compute positive integer powers / 1.3 / Compare data sets with fract./percent.
1.4 / Determine prime factors of #s to 50 / 1.4 / Identify/interpret data from a graph
1.5 / Order decimals/fract/positive/neg. # / 1.5 / Write ordered pairs correctly
2.0 / Computation / Mathematical Reasoning
2.1 / Compute decimals, neg. integers, etc. / 1.0 / Make Decisions about a Problem
2.2 / Divide by multidigit divisor/decimals / 1.1 / Identify relationships in problems
2.3 / Add/Subtract fractions and mixed no. / 1.2 / When/how to break problems into parts
2.4 / Understand mult. and div. of fractions
2.5 / Multiply and divide fractions / 2.0 / Solve Problems/Justify Reasoning
2.1 / Use estimation to verify results
Algebra and Functions / 2.2 / Apply strategies to complex problems
1.0 / Simple Expressions / 2.3 / Use methods to explain math reasoning
1.1 / Use graphs/equations to answer quest. / 2.4 / Express solutions clearly
1.2 / Write/evaluate simple algebraic exp. / 2.5 / Advantage of exact/approximate results
1.3 / Use the distributive property / 2.6 / Make precise calculations/validity
1.4 / Identify and graph ordered pairs
1.5 / Linear functions with integer values / 3.0 / Make Connections
3.1 / Evaluate reasonableness of a result
Measurement and Geometry / 3.2 / Note methods of deriving solution
1.0 / Area and Volume / 3.3 / Develop generalization of the result
1.1 / Compare formulas of geometric shapes
1.2 / Compute surface area of cube, etc.
1.3 / Compute volume of rectangular solid
1.4 / Measure 2- & 3-dimensional objects
2.0 / Geometry
2.1 / Draw angles, lines, shapes with tools
2.2 / Know sum of angles of shapes
2.3 / Draw 3-dimensional objects
Individual Student Profile for Sixth Grade: Mathematics Standards
Student's Name:
Number Sense / Statistics, Data Analysis, and Probability
1.0 / Comparing and Ordering Numbers / 1.0 / Data
1.1 / Order fractions/decimals/mixed #s / 1.1 / Compute range/mean/median/mode
1.2 / Use ratios to show relative sizes of #s / 1.2 / Additional data affects data sets
1.3 / Use proportions to solve problems / 1.3 / Outliers/measure of central tendency
1.4 / Calculate given percentages of #s / 1.4 / Central tendency provides useful info.
2.0 / Calculating / 2.0 / Limitations
2.1 / Compute positive fractions / 2.1 / Determine use of a sample data set
2.2 / Explain mult./div. of positive fract. / 2.2 / Identify ways of selecting a sample
2.3 / Compute positive & negative integers / 2.3 / Analyze ways results are influenced
2.4 / Find LCM and GCF of whole numbers / 2.4 / Identify data sampling errors
2.5 / Claims based on statistical data
Algebra and Functions
1.0 / Writing Expressions / 3.0 / Probabilities
1.1 / Solve one-step linear equations / 3.1 / Represent outcomes of events
1.2 / Algebraic expression / 3 variables / 3.2 / Use data to estimate future events
1.3 / Evaluate expressions using tools / 3.3 / Represent probabilities as ratios, etc.
1.4 / Use order of operations to solve prob. / 3.4 / Understand probabilities
3.5 / Independent/dependent events
2.0 / Rates and Proportions
2.1 / Convert 1 unit of measure to another / Mathematical Reasoning
2.2 / Define and use rate / 1.0 / Make Decisions about a Problem
2.3 / Rates/average speed/distance/time / 1.1 / Identify relationships in problems
1.2 / Justify mathematical conjectures
3.0 / Patterns / 1.3 / When/how to break apart problems
3.1 / Use expressions/ describe quantities
3.2 / Express geometric relationships / 2.0 / Solve Problems/Justify Reasoning
2.1 / Use estimation to verify results
Measurement and Geometry / 2.2 / Apply strategies to complex problems
1.0 / Area and Volume / 2.3 / Estimate unknown quantities graphically
1.1 / Find circumference/area of circle / 2.4 / Use methods to explain math reasoning
1.2 / Use value of pi/area/circum. of circle / 2.5 / Express solutions clearly
1.3 / Find volume/triangular prism/cyl. / 2.6 / Advantage of exact/approximate results
2.7 / Make precise calculations/validity
2.0 / Geometry
2.1 / Identify angles as vertical, etc. / 3.0 / Make Connections
2.2 / Solve problems/unknown angle / 3.1 / Evaluate reasonableness of a result
2.3 / Draw quadrilaterals/triangles / 3.2 / Note methods of deriving solution
3.3 / Develop generalization of the result
Individual Student Profile for Seventh Grade: Mathematics Standards
Student's Name:
Number Sense
1.0 / Computing / 2.0 / Perimeter and Area
1.1 / Read/write/compare rational nos. / 2.1 / Area/perimeter/2-dimensional shapes
1.2 / Compute rational numbers / 2.2 / Area of complex 2 and 3D shapes
1.3 / Convert fractions/decimals/percent / 2.3 / Compute area/perimeter/volume
1.4 / Differentiate rational/irrational #s / 2.4 / As meas. changes/scale meas. change
1.5 / Nos../terminating/repeating decimal
1.6 / Calculate percent increase/decrease / 3.0 / Geometry
1.7 / Compute simple/compound interest / 3.1 / Use tools/construct geometric figures
3.2 / Plot figures using coordinate graphs
2.0 / Fractions / 3.3 / Know/use the Pythagorean theorem
2.1 / Mult./div. expressions with exponents / 3.4 / How two geom. figures are congruent
2.2 / Add. and subt. unlike fractions / 3.5 / Construct 2D patterns from 3D models.
2.3 / Mult./div. rational nos./exponent rule / 3.6 / Identify elements of 3D figures
2.4 / Raising to a power, extracting the root
2.5 / Understand absolute value of a no. / Statistics, Data Analysis, and Probability
1.0 / Data
Algebra and Functions / 1.1 / Various forms to display data sets
1.0 / Writing Expressions / 1.2 / Draw 2 no. variables on scatterplot
1.1 / Write expressions/use variables / 1.3 / For a data set, computer median, etc.
1.2 / Order of operations/algebraic express.
1.3 / Simplify numerical expressions / Mathematical Reasoning
1.4 / Use Algebraic terminology / 1.0 / Make Decisions about a Problem
1.5 / Graph quantitative relationships / 1.1 / Identify relationships in problems
1.2 / Justify mathematical conjectures
2.0 / Evaluating Expressions / 1.3 / When/how to break apart problems
2.1 / Whole no. powers as repeated mult.
2.2 / Multiply/divide monomials / 2.0 / Solve Problems/Justify Reasoning
2.1 / Use estimation to verify results
3.0 / Linear and Nonlinear Functions / 2.2 / Apply strategies to complex problems
3.1 / Graph functions of the form y=nx2 / 2.3 / Estimate unknown quantities graphically
3.2 / Plot value/vol. /3-dimensional shapes / 2.4 / Test conjectures using reasoning skills
3.3 / Graph linear functions / 2.5 / Use methods to explain math reasoning
3.4 / Plot value with same ratio / 2.6 / Express solutions clearly
2.7 / Advantage of exact/approximate results
4.0 / Linear Equations / 2.8 / Make precise calculations/validity
4.1 / Solve 2-step linear equat./inequalities
4.2 / Rate/average speed/dist./time prob. / 3.0 / Make Connections
3.1 / Evaluate reasonableness of a result
Measurement and Geometry / 3.2 / Note methods of deriving solution
1.0 / Measurement / 3.3 / Develop generalization of the result
1.1 / Compare weight/time/capacity/temp.
1.2 / Construct/read scale drawings
1.3 / Use measures to solve problems
Individual Student Profile for Algebra I: Mathematics Standards
Student's Name:
1.0 / Identify and use properties of subsets of integers and rational, irrational & real numbers
1.1 / Use properties of numbers to demonstrate whether assertions are true/false
2.0 / Use such operations as taking the opposite and using rules of exponents
3.0 / Solve equations and inequalities involving absolute value
4.0 / Simplify expressions before solving linear equations and inequalities with 1 variable
5.0 / Solve multistep problems involving linear equations and inequalities in one variable
6.0 / Graph a linear equation and compute the x- and y-intercepts
7.0 / Verify that a point lies on a line, given an equation of the line
8.0 / Understand the concept of parallel and perpendicular lines and how slopes are related
9.0 / Algebraically solve a system of two linear equations in two variables
10.0 / Add, subtract, multiply, and divide monomials and polynomials
11.0 / Apply basic factoring techniques to second- and third-degree polynomials
12.0 / Simplify fractions with polynomials
13.0 / Compute rational expressions and functions
14.0 / Solve a quadratic equation
15.0 / Apply algebraic techniques to solve a rate problem
16.0 / Understand the concept of a relation and a function
17.0 / Determine domain of independent variables and range of dependent variables
18.0 / Determine whether a relation is a function
19.0 / Know the quadratic formula and be familiar with its proof
20.0 / Use quadratic formulas to solve quadratic equations
21.0 / Graph quadratic functions
22.0 / Determine if the graph of a quadratic function will intersect x-axis in 0, 1, or 2 points
23.0 / Apply quadratic equations to physical problems
24.0 / Use and know simple aspects of a logical argument:
24.1 / Know the difference between inductive and deductive reasoning
24.2 / Identify the hypothesis and conclusion in logical deductions
24.3 / Use counter examples to show that an assertion is false
25.0 / Use properties of the number system to judge the validity of results
25.1 / Use properties of numbers to construct simple valid arguments
25.2 / Judge the validity of an argument
25.3 / Determine whether algebraic statements are true sometimes, always, or never
Individual Student Profile for Geometry: Mathematics Standards
Student's Name:
1.0 / Identify undefined terms, axioms, theorems, and inductive/deductive reasoning
2.0 / Write geometric proofs/proofs with contradiction
3.0 / Construct and judge the validity of a logical argument
4.0 / Prove basic theorems involving congruence and similarity
5.0 / Prove that triangles are congruent
6.0 / Use the triangle inequality theorem
7.0 / Use theorems involving properties of parallel lines, quadrilaterals, and circles
8.0 / Find the perimeter, circumference, area, volume, lateral area, and surface area of shapes
9.0 / Compute the volume and surface area of geometric shapes
10.0 / Compute the area of polygons
11.0 / Know that changes in dimensions affect the perimeter, area, and volume of shapes
12.0 / Classify figures using the measurement of the sides and angles of triangles and polygons
13.0 / Prove relationships of angles using properties of angles
14.0 / Prove the Pythagorean theorem
15.0 / Use the Pythagorean theorem to find missing lengths of sides of a right triangle
16.0 / Perform basic constructions with a straight edge and compass
17.0 / Prove theorems by using coordinate geometry
18.0 / Know definitions of basic trigonometric functions defined by angles of a right triangle
19.0 / Use trigonometric functions to solve for an unknown length of a side of a right triangle
20.0 / Use angle and side relationships in problems with special right triangles