GRADE-LEVEL MILESTONES-OPERATIONS on WHOLE NUMBERS by qLq9rW

VIEWS: 4 PAGES: 2

									                                                                                        Operations on Whole Number Progression
                                       Kindergarten                            1st Grade                               2nd Grade                              3rd Grade                               4th Grade
                           Represents addition and subtraction    Add and subtract within 20              Add and subtract within 1000
                           with:                                     Counting on                            Concrete models or drawings
                              Objects                               Making 10                              Strategies based on place
                              Fingers                               Decomposing a number leading            value, properties of operations,
                              Mental Images                          to a 10                                 and/or the relationship between
                                                                                                              addition and subtraction
                              Drawings                              Using relationships between
                              Sounds                                 addition and subtraction.
                                                                     Creating equivalent but easier      Represent whole-number sums and
                              Acting out situations                                                      differences within 100 on a number
                                                                      or known sums.
                              Verbal explanations                                                        line diagram
                              Expressions
                                                                  Add within 100
                              Equation

                                                                  Add two-digit numbers and a one
                           Decompose numbers less than or         digit numbers
                           equal to 10 into pairs in more than
                           one way.
                                                                  Add two-digit numbers and a multiple
                                                                  of 10
                           For any number from 1 to 9, find the
                                                                      Concrete models or drawings
Addition and Subtraction




                           number that makes 10 when added
                           to the given number.                       Strategies based on place
                                                                       value, properties of operations,
                                                                       and/or the relationship between
                           Compose and decompose numbers
                                                                       addition and subtraction
                           from 11 to19 into ten ones and some
                           further ones.                              Introduce 100’s Chart

                           Fluently add and subtract within 5     Fluently add and subtract within 10     Fluently add and subtract within 100   Fluently add and subtract within       Fluently add and subtract multi-digit
                                                                                                           Strategies based on place value,     1,000                                  whole numbers using the standard
                                                                  Mentally find 10 more or 10 less           properties of operations, and/or      Strategies and algorithms based     algorithm
                                                                  without having to count                    the relationship between addition      on place value, properties of
                                                                                                             and subtraction                        operations, and/or the
                                                                                                                                                    relationship between addition and
                                                                                                          Mentally add and subtract within 20       subtraction
                                                                                                          Mentally add/subtract 10 or 100
                                                                                                          to/from any number 100-900
                                                                                                          Know from memory all sums of two
                                                                                                          one-digit numbers (by the end of the
                                                                                                          2nd grade)
                           Solve addition and subtraction word    Solve addition and subtraction word     Solve one-and two-step addition and    Solve two-step problems using the      Solve multi-step word problems
                           problems within 10                     problems within 20                      subtraction word problems within 100   four operations                        posed with whole numbers and
                            Use objects or drawings to            Situations involving adding to          Situations involving adding to,       Assess reasonableness of            having whole –number answers
                              represent the problem.                taking apart, and comparing              taking from, putting together,          answers using mental               using the four operations
                                                                   Use objects, drawings, and               taking apart, and comparing             computation strategies               Assess reasonableness of
                                                                    equations with a symbol for the         Situations involving lengths that                                              answers using mental
                                                                    unknown number to represent the          are given in the same units                                                    computation and estimation
                                                                    problem                                                                                                                 strategies
                                                                                                            Unknowns in all positions
                                                                                                            Use drawings and equations with
                                                                                                             a symbol for the unknown number
                                                                                                             to represent the problem

                                                                                                                                                                                                                  Handout 4
                                            2nd Grade                               3rd Grade                                4th Grade                                 5th grade                            6th Grade
                              Use addition to find the total number   Multiply one-digit whole numbers by      Multiply a whole number of up to four   Find whole-number quotients of
                              of objects arranged in rectangular      multiples of 10 in the range 10-90       digits by a one-digit whole number      whole numbers with up to four-digit
                              arrays with up to 5 rows and up to 5      Use strategies based on place                                                 dividends and two-digit divisors
                              columns                                    value and properties of                                                         Use strategies based on place
                                                                                                               Multiply two two-digit numbers
                                                                         operations                                                                        value, properties of operations,
                                                                                                                                                           and/or the relationship between
                                                                                                               Find whole—number quotients and             multiplication and division
                                                                      Understand division as an unknown-       remainders with up to four-digit
                                                                      factor problem                           dividends and one-digit divisors          Illustrate and explain the
                                                                                                                                                           calculation by using
                                                                      Relate area to the operations of                                                       Equations
                                                                                                               For all of the above:
                                                                      multiplication and addition                                                            Rectangular arrays
                                                                                                                 Use strategies based on place
                                                                                                                    value, properties of operations,         Area models
                                                                                                                    and/or the relationship between
                                                                                                                    multiplication and division
                                                                                                                 Illustrate and explain the
                                                                                                                    calculation by using
                                                                                                                       Equations
                                                                                                                       Rectangular arrays
Multiplication and Division




                                                                                                                       Area models
                                                                      Fluently multiply and divide within                                              Fluently multiply multi-digit whole    Fluently divide multi-digit whole
                                                                      100                                                                              numbers using the standard             numbers using the standard
                                                                        Use strategies based on                                                       algorithm                              algorithm
                                                                            properties of operations, and/or
                                                                            the relationship between
                                                                            multiplication and division
                                                                      Know from memory all products of
                                                                      two one-digit numbers by the end of
                                                                      3rd grade
                                                                      Solve multiplication and division        Solve multiplication and division
                                                                      word problems within 100, involving:     word problems involving:
                                                                        Equal groups                            Multiplicative comparison
                                                                        Arrays
                                                                        Measurement quantities                Solve multi-step word problems
                                                                      Solve two-step problems using the        posed with whole numbers and
                                                                      four operations                          having whole-number answers using
                                                                                                               the four operations
                                                                        Assess reasonableness of
                                                                            answers using mental                 Assess reasonableness of
                                                                            computation and estimation              answers using mental
                                                                            strategies                              computation and estimation
                                                                                                                    strategies
                                                                                                               Find all factor pairs for a whole                                              Find the greatest common factor of
                                                                                                               number in the range 1-100                                                      two whole numbers less than or
                                                                                                               Determine whether a given whole                                                equal to 100
                                                                                                               number in the range 1-100 is a
                                                                                                               multiple of a given one-digit number                                           Find the least common multiple of
                                                                                                               Determine whether a given whole                                                two whole numbers less than or
                                                                                                               number in the range 1-100 is prime                                             equal to 12
                                                                                                               or composites




                                                                                                                                                                                                                        Handout 4

								
To top