Kindergarten Math

Standard 1: The student uses numerical and computational concepts and procedures in a variety of situations.

Benchmark 1:  NUMBER SENSE - The student demonstrates number sense for three-digit whole numbers and simple fractions in a variety of situations.

Kindergarten Knowledge Base Indicators

                  The student:

                  1.       compares and orders whole numbers to 20.

                  2.       recognizes a whole, half, and parts of a whole.

                  3.       establishes a one-to-one correspondence to 20 items and identifies, states or writes the appropriate cardinal number.

                  4.       identifies and states the values of pennies and dimes.

5.           identifies positions as first and last.

6.           identifies and uses ordinal positions up to fourth.

Kindergarten Application Indicators

                  The student:

1.           uses numbers and concrete items to twenty to formulate and solve real-world problems.

Benchmark 2: NUMBER SYSTEMS AND THEIR PROPERTIES - The student demonstrates an understanding of simple fractions (fourths, thirds, halves) and three-digit whole numbers with a special emphasis on place value, and recognizes, applies, and explains their properties.

Kindergarten Knowledge Base Indicators

                  The student:

                  1.       groups objects into tens.

                  2.       counts subsets of numbers from 1 to 20.

                  3.       counts backwards from 10.

4.           reads and writes whole numbers to 20 in numeric form.

Kindergarten Application Indicators

                  The student:

                 1.       uses properties of the whole number system and money to explain reasoning, and to formulate and solve real-world problems.

2.           uses whole number properties to perform various computational procedures.

Benchmark 3:        ESTIMATION - The student uses numerical estimation with whole numbers up to 999, simple fractions, and money.

Kindergarten Knowledge Base Indicators

                    The student:

                    1.     determines if one set of objects has more, less or about the same number of objects as a second set of the same kind of objects.

Benchmark 4:        COMPUTATION - The student explains, models and performs computation with two-digit whole numbers in a variety of situations.

Kindergarten Knowledge Base Indicators

                  The student:

1.        performs addition and subtraction using up to 10 concrete items.

Kindergarten Grade Application Indicators

                  The student:

1.        uses addition and subtraction to formulate and solve real-world problems involving up to ten  items.

Standard 2: The student uses algebraic concepts and procedures in a variety of situations.  

Benchmark 1:        PATTERNS - The student recognizes, describes, extends, develops, and explains relationships in patterns from a variety of situations.

Kindergarten Knowledge Base Indicators

                  The student:

                  1.       identifies and continues patterns presented in a variety of formats:  numeric, visual, oral, kinesthetic, pictorial, tabular, graphical, or listing.

                  2.       creates a pattern. 

                            A partial list of patterns to help students meet these indicators could include:

                            geometric patterns by 1 attribute.

                            daily life patterns such as grass is green, sky is blue.

                            identify and sort objects by similar traits.

Kindergarten Application Indicators

                  The student:

                 1.       generalizes patterns by giving oral descriptions.

2.        recognizes the same general pattern presented in different representations such as                     recognizing red, yellow, red, yellow, red, yellow . . . and 1,2,1,2,1,2 . . . are both examples      of ab patterns.

Benchmark 2:        VARIABLES, EQUATIONS, AND INEQUALITIES - The student uses symbols and whole numbers up to 99 to solve addition and subtraction equations in a variety of situations.

Kindergarten Knowledge Base Indicators

                  The student:

1.         uses concrete materials to find missing number facts to sums of ten.

Kindergarten Application Indicators.

                  The student:

1.        describes mathematical situations orally or by using concrete items and pictures.

Benchmark 3:        FUNCTIONS - The student recognizes and describes relationships between whole numbers through 99 in a variety situations.

Kindergarten Knowledge Base Indicators

                  The student:

                  1.       locates numbers up to 20 on a number line.

Kindergarten Application Indicators

                  The student:

                 1.       uses concrete items, pictures and oral descriptions to represent and describe relationships.

Benchmark 4:        MODELS - The student develops and uses models to represent and show mathematical relationships found in a variety of situations.

Kindergarten Knowledge Base Indicators

                  The student:

                  1.       uses mathematical models to represent and explain mathematical concepts and procedures.

                  2.       uses concrete objects, diagrams, pictures and dramatizations to show the relationship between two or more things.

Kindergarten Application Indicators

                  The student:

                  1.       recognizes the same situation can be represented in more than one way.

Standard 3: The student uses geometric concepts and procedures in a variety of situations.  

Benchmark 1:        GEOMETRIC FIGURES AND THEIR PROPERTIES - The student recognizes and describes properties of simple geometric shapes.

Kindergarten Knowledge Base Indicators

                  The student:

                  1.       recognizes a circle, square, triangle, ellipse (oval), and rectangle.  

                  2.       uses manipulatives and drawings to recognize or investigate properties of geometric figures.

Kindergarten Application Indicators

                  The student:

                 1.       recognizes and names shapes within their environment.

2.        sorts concrete objects by specific attributes

Benchmark 2:        MEASUREMENT AND ESTIMATION - The student estimates and measures using standard and nonstandard units in a variety of situations with an emphasis on the use of concrete materials.

Kindergarten Knowledge Base Indicators

                  The student:

                  1.       uses appropriate vocabulary to compare two measurements: taller, shorter (height), hotter, colder (temperature), shorter, longer (length).

                  2.       reads and tells time at the hour using analog and digital clocks.

Kindergarten Application Indicators.

                  The student:

                 1.       compares and orders objects by size.

                 2.       locates and names objects which are about the same size as a given object.               

Benchmark 3:        TRANSFORMATIONAL GEOMETRY - The student recognizes and describes a single geometric transformation of simple shapes or objects in a variety of situations.

Kindergarten Knowledge Base Indicators

                  The student:

                  1.       identifies two like shapes from a set of four.

                  2.       uses common spatial sense language such as above and below.

Kindergarten Application Indicators

                  The student:

                 1.       shows two shapes are congruent by physically fitting one shape on top of the other.

                 2.       gives or follows directions to move objects from one location to another.

Benchmark 4:        GEOMETRY FROM AN ALGEBRAIC PERSPECTIVE - The student identifies one or more points on a simple coordinate system (number line or grid) in a variety of situations.

Kindergarten Knowledge Base Indicators

The student:

1.       places whole numbers one through twenty on a number line.

Kindergarten Application Indicators

                  The student:

1.           uses the number line to formulate and solve real-world problems.

Standard 4:  The student uses concepts and procedures of data analysis in a variety of situations.  

Benchmark 1:        PROBABILITY - The student uses probability to make predictions and decisions in a variety of situations.

Kindergarten Knowledge Base Indicators

                  The student:

                  1.       investigates, recognizes, and explains why a simple experiment can have more than one outcome.

Kindergarten Application Indicators

                  The student:

                 1.       conducts experiments and simulations involving a simple event and tallies the results.

Benchmark 2:        STATISTICS - The student collects, displays, and explains whole number and other data in a variety of situations.

Kindergarten Knowledge Base Indicators

                  The student:

                  1.       gathers data relating to familiar experiences by counting and tallying.                         

                  2.       displays information using objects and pictorial graphs and tables.  Specific graphical displays of whole number and categorical data include:

                                frequency tables using tally marks.

                                graphs using concrete materials.

                                pictographs (with symbol or picture representing only one).

Kindergarten Application Indicators.

                  The student:

                 1.       describes the results of data collection orally, such as six children have red shoes and ten children have black shoes.

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