Problem
Solving Strand
Students
will build new mathematical knowledge through problem solving.
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K.PS.1
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Explore, examine, and make
observations about a social problem or mathematical situation
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K.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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K.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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K.PS.4
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Formulate problems and solutions
from everyday situations (e.g., counting the number of children in the class,
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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K.PS.5
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Use informal counting strategies
to find solutions
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K.PS.6
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Experience teacher-directed
questioning process to understand problems
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K.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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K.PS.8
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Use manipulatives
(e.g., tiles, blocks) to model the action in problems
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K.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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K.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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K.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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K.RP.2
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Investigate the use of
knowledgeable guessing as a mathematical too
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K.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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K.RP.4
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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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K.CM.1
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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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K.CM.2
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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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K.CM.3
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Listen to solutions shared by
other students
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K.CM.4
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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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K.CM.5
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Use appropriate mathematical
terms, vocabulary, and language
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Connections Strand
Students
will recognize and apply mathematics in contexts outside of mathematics.
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K.CN.1
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Recognize the presence of
mathematics in their daily lives
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K.CN.2
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Use counting strategies to solve
problems in their daily lives
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K.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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K.R.1
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Use multiple representations,
including verbal language, acting out or modeling a situation, and drawing
pictures as representations
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K.R.2
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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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K.R.3
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Use objects to show and understand
physical phenomena (e.g., guess the number of cookies in a package)
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K. R.4
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Use objects to show and understand
social phenomena (e.g., count and represent sharing cookies between friends)
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K.R.5
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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)
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Number Sense and Operations Strand
Students
will understand numbers, multiple ways of representing numbers, relationships
among numbers, and number systems.
Number Systems
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K.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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K.N.2
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Count out (produce) a collection
of a specified size 1 to 10
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K.N.3
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Numerically label a data set of 1
to 5
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K.N.4
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Verbally count by 1’s to 20
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K.N.5
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Verbally count backwards from 10
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K.N.6
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Represent collections with a
finger pattern up to 10
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K.N.7
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Draw pictures or other informal
symbols to represent a spoken number up to 10
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K.N.8
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Draw pictures or other informal
symbols to represent how many in a collection up to 10
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K.N.9
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Write numbers 1-10 to represent a
collection
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K.N.10
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Visually determine how many more
or less, and then using the verbal counting sequence, match and count 1-10
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K.N.11
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Use and understand verbal ordinal
terms, first to tenth
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Students
will understand meanings of operations and procedures, and how they relate to
one another.
Operations
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K.N.12
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Solve and create addition and
subtraction verbal word problems (use counting-based strategies, such as
counting on and to ten)
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K.N.13
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Determine sums and differences by
various means
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Algebra Strand
Students
will recognize, use, and represent algebraically patterns, relations, and
functions.
Patterns, Relations, and Functions
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K.A.1
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Use a variety of manipulatives to create patterns using attributes of
color, size, or shape
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K.A.2
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Recognize, describe, extend, and
create patterns that repeat (e.g., ABABAB or ABAABAAAB)
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Geometry Strand
Students
will use visualization and spatial reasoning to analyze characteristics and
properties of geometric shapes.
Shapes
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K.G.1
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Describe characteristics and
relationships of geometric objects
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Students
will identify and justify geometric relationships, formally and informally.
Geometric Relationships
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K.G.2
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Sort groups of objects by size and
size order (increasing and decreasing)
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Students
will apply transformations and symmetry to analyze problem solving situations.
Transformational Geometry
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K.G.3
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Explore vertical and horizontal
orientation of objects
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K.G.4
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Manipulate two- and
three-dimensional shapes to explore symmetry
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Students
will apply coordinate geometry to analyze problem solving situations.
Coordinate Geometry
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K.G.5
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Understand and use ideas such as
over, under, above, below, on, beside, next to, and between
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Measurement Strand
Students
will determine what can be measured and how, using appropriate methods and
formulas.
Units of
Measurement
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K.M.1
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Name, discuss, and compare
attributes of length (longer than, shorter than)
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K.M.2
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Compare the length of two objects
by representing each length with string or a paper strip
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K.M.3
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Relate specific times such as
morning, noon, afternoon, and evening to activities and absence or presence
of daylight
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Statistics and Probability Strand
Students
will collect, organize, display, and analyze data.
Collection of Data
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K.S.1
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Gather data in response to
questions posed by the teacher and students
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Organization and Display of Data
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K.S.2
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Help to make simple pictographs
for quantities up to 10, where one picture represents
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K.S.3
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Sort and organize objects by two
attributes (e.g., color, size, or shape)
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K.S.4
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Represent data using manipulatives
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Analysis of Data
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K.S.5
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Identify more, less, and
same amounts from pictographs or concrete models
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