Problem
Solving Strand
Students
will build new mathematical knowledge through problem solving.
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PK.PS.1
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Explore, examine, and make
observations about a social problem or mathematical situation
|
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PK.PS.2
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Interpret information correctly,
identify the problem, and generate possible solutions
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Students
will solve problems that arise in mathematics and in other contexts.
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PK.PS.3
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Act out or model with manipulatives activities involving mathematical content
from literature and/or story telling
|
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PK.PS.4
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Formulate problems and solutions
from everyday situations (e.g., as counting the number of children in the
class or using the calendar to teach counting)
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Students
will apply and adapt a variety of appropriate strategies to solve problems.
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PK.PS.5
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Use informal counting strategies
to find solutions
|
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PK.PS.6
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Experience teacher-directed
questioning process to understand problems
|
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PK.PS.7
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Compare and discuss ideas for
solving a problem with teacher and/or students to justify their thinking
|
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PK.PS.8
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Use manipulatives
(e.g., tiles, blocks) to model the action in problems
|
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PK.PS.9
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Use drawings/pictures to model the
action in problems
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Students
will monitor and reflect on the process of mathematical problem solving.
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PK.PS.10
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Explain to others how a problem
was solved, giving strategies
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Reasoning
and Proof Strand
Students
will recognize reasoning and proof as fundamental aspects of mathematics.
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PK.RP.1
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Understand that mathematical
statements can be true or false
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Students
will make and investigate mathematical conjectures.
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PK.RP.2
|
Investigate the use of
knowledgeable guessing as a mathematical tool
|
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PK.RP.3
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Explore guesses, using a variety
of objects and manipulatives
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Students
will develop and evaluate mathematical arguments and proofs.
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PK.RP.4
|
Listen to claims other students
make
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Communication Strand
Students
will organize and consolidate their mathematical thinking through
communication.
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PK.CM.1
|
Understand how to organize their
thought processes with teacher guidance
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Students
will communicate their mathematical thinking coherently and clearly to peers,
teachers, and others.
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PK.CM.2
|
Share mathematical ideas through
the manipulation of objects, drawings, pictures, and verbal explanations
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Students
will analyze and evaluate the mathematical thinking and strategies of others.
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PK.CM.3
|
Listen to solutions shared by
other students
|
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PK.CM.4
|
Formulate mathematically relevant
questions with teacher guidance
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Students
will use the language of mathematics to express mathematical ideas precisely.
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PK.CM.5
|
Use appropriate mathematical
terms, vocabulary, and language
|
Connections Strand
Students
will recognize and apply mathematics in contexts outside of mathematics.
|
PK.CN.1
|
Recognize the presence of
mathematics in their daily lives
|
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PK.CN.2
|
Use counting strategies to solve
problems in their daily lives
|
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PK.CN.3
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Recognize and apply mathematics to
objects and pictures
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Representation Strand
Students
will create and use representations to organize, record, and communicate
mathematical ideas.
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PK.R.1
|
Use multiple representations,
including verbal language, acting out or modeling a situation, and drawing
pictures as representations
|
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PK.R.2
|
Use standard and nonstandard
representations
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Students
will use representations to model and interpret physical, social, and
mathematical phenomena.
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PK.R.3
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Use objects to show and understand
physical phenomena (e.g., guess the number of cookies in a package)
|
|
PK.R.4
|
Use objects to show and understand
social phenomena (e.g., count and represent sharing cookies between friends)
|
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PK.R.5
|
Use objects to show and understand
mathematical phenomena (e.g., draw pictures to show a story problem, show
number value using fingers on your hand)
|
Number Sense and Operations Strand
Students
will understand numbers, multiple ways of representing numbers, relationships
among numbers, and number systems.
Number Systems
|
PK.N.1
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Count the items in a collection
and know the last counting word tells how many items are in the collection (1
to 10)
|
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PK.N.2
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Count out (produce) a collection
of a specified size 1 to 10
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PK.N.3
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Verbally count by 1’s to 10
|
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PK.N.4
|
Explore the different
representations of a group of objects
|
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PK.N.5
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Draw pictures or other informal
symbols to represent a spoken number up to 5
|
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PK.N.6
|
Draw pictures or other informal
symbols to represent how many in a collection up to 5
|
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PK.N.7
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Recognize numerals (0-5)
|
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PK.N.8
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Use and understand the terms first
and last
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Students
will understand meanings of operations and procedures, and how they relate to
one another.
Operations
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PK.N.9
|
Develop addition and subtraction
readiness with sums up to 4 and subtraction involving one to four items,
using manipulatives
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Algebra Strand
Students
will recognize, use, and represent algebraically patterns, relations, and
functions.
Patterns, Relations and Functions
|
PK.A.1
|
Duplicate simple patterns using
concrete objects
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Geometry Strand
Students
will use visualization and spatial reasoning to analyze characteristics and
properties of geometric shapes.
Shapes
|
PK.G.1
|
Match shapes, first with same size
and orientation, then with different sizes and orientation
|
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PK.G.2
|
Informally play with solids (e.g.,
building blocks)
|
Measurement Strand
Students
will determine what can be measured and how, using appropriate methods and
formulas.
Units of Measurement
|
PK.M.1
|
Develop language such as bigger,
longer, and taller to discuss length
|
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PK.M.2
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Relate specific times such as day
and night
|
Statistics and Probability Strand
Students
will collect, organize, display, and analyze data.
Organization and Display of Data
|
PK.S.1
|
Sort and organize objects by one
attribute (e.g., color, size, or shape)
|
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PK.S.2
|
Use physical objects to make
graphs
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Analysis of Data
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PK.S.3
|
Count and compare groups formed
(quantify groups formed)
|
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PK.S.4
|
Describe the attributes of objects
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Curriculum & Standards 
