Problem
Solving Strand
Students
will build new mathematical knowledge through problem solving.
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1.PS.1
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Explore, examine, and make
observations about a social problem or mathematical situation
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1.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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1.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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1.PS.4
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Formulate problems and solutions
from everyday situations (e.g., 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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1.PS.5
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Use informal counting strategies
to find solutions
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1.PS.6
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Experience teacher-directed
questioning process to understand problems
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1.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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1.PS.8
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Use manipulatives
(e.g., tiles, blocks) to model the action in problems
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1.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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1.PS.10
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Explain to others how a problem
was solved, giving strategies and justifications
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Reasoning
and Proof Strand
Students
will recognize reasoning and proof as fundamental aspects of mathematics.
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1.RP.1
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Understand that mathematical
statements can be true or false
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1.RP.2
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Recognize that mathematical ideas
need to be supported by evidence
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Students
will make and investigate mathematical conjectures.
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1.RP.3
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Investigate the use of
knowledgeable guessing as a mathematical tool
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1.RP.4
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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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1.RP.5
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Justify general claims, using manipulatives
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1.RP.6
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Develop and explain an argument
verbally or with objects
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1.RP.7
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Listen to and discuss claims other
students make
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Students
will select and use various types of reasoning and methods of proof.
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1.RP.8
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Use trial and error strategies to
verify claims
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Communication Strand
Students
will organize and consolidate their mathematical thinking through
communication.
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1.CM.1
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Understand how to organize their
thought processes with teacher guidance`
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1.CM.2
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Verbally support their reasoning
and answer
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Students
will communicate their mathematical thinking coherently and clearly to peers,
teachers, and others.
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1.CM.3
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Share mathematical ideas through
the manipulation of objects, drawings, pictures, charts, and symbols in both
written and verbal explanations
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Students
will analyze and evaluate the mathematical thinking and strategies of others.
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1.CM.4
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isten
to solutions shared by other students
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1.CM.5
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Formulate mathematically relevant
questions
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Students
will use the language of mathematics to express mathematical ideas precisely.
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1.CM.6
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Use appropriate mathematical
terms, vocabulary, and language
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Connections Strand
Students
will recognize and use connections among mathematical ideas.
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1.CN.1
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Recognize the connections of
patterns in their everyday experiences to mathematical ideas
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1.CN.2
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Understand the connections between
numbers and the quantities they represent
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1.CN.3
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Compare the similarities and
differences of mathematical ideas
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Students
will understand how mathematical ideas interconnect and build on one another to
produce a coherent whole.
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1.CN.4
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Understand how models of
situations involving objects, pictures, and symbols relate to mathematical
ideas
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1.CN.5
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Understand meanings of operations
and how they relate to one another
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1.CN.6
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Understand how mathematical models
represent quantitative relationships
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Students
will recognize and apply mathematics in contexts outside of mathematics.
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1.CN.7
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Recognize the presence of
mathematics in their daily lives
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1.CN.8
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Recognize and apply mathematics to
solve problems
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1.CN.9
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Recognize and apply mathematics to
objects, pictures, and symbols
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Representation Strand
Students
will create and use representations to organize, record, and communicate
mathematical ideas.
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1.R.1
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Use multiple representations
including verbal and written language, acting out or modeling a situation,
drawings, and/or symbols as representations
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1.R.2
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Share mental images of
mathematical ideas and understandings
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1.R.3
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Use standard and nonstandard
representations
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Students
will select, apply, and translate among mathematical representations to solve
problems.
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1.R.4
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Connect mathematical
representations with problem solving
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Students
will use representations to model and interpret physical, social, and
mathematical phenomena.
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1.R.5
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Use mathematics to show and
understand physical phenomena (e.g., estimate and represent the number of
apples in a tree)
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1.R.6
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Use mathematics to show and
understand social phenomena (e.g., count and represent sharing cookies
between friends)
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1.R.7
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Use mathematics 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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1.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 100)
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1.N.2
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Count out (produce) a collection
of a specified size (10 to 100 items), using groups of ten
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1.N.3
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Quickly see and label with a
number, collections of 1 to 10
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1.N.4
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Count by 1’s to 100
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1.N.5
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Skip count by 10’s to 100
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1.N.6
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Skip count by 5’s to 50
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1.N.7
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Skip count by 2’s to 20
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1.N.8
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Verbally count from a number other
than one by 1’s
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1.N.9
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Count backwards from 20 by
1’s
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1.N.10
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Draw pictures or other informal
symbols to represent a spoken number up to 20
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1.N.11
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Identify that spacing of the same
number of objects does not affect the quantity (conservation)
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1.N.12
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Arrange objects in size order
(increasing and decreasing)
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1.N.13
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Write numbers to 100
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1.N.14
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Read the number words one, two,
three…ten
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1.N.15
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Explore and use place value
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1.N.16
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Compare and order whole numbers up
to 100
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1.N.17
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Develop an initial
understanding of the base ten system:
10 ones = 1 ten
10 tens = 1 hundred
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1.N.18
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Use a variety of strategies to
compose and decompose one-digit numbers
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1.N.19
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Understand the commutative
property of addition
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1.N.20
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Name the number before and the
number after a given number, and name the number(s) between two given numbers
up to 100 (with and without the use of a number line or a hundreds chart)
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1.N.21
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Use before, after, or between to
order numbers to 100 (with or without the use of a number line)
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1.N.22
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Use the words higher, lower,
greater, and less to compare two numberS
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1.N.23
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Use and understand verbal ordinal
terms, first to twentieth
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Students
will understand meanings of operations and procedures, and how they relate to
one another.
Operations
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1.N.24
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Develop and use strategies to
solve addition and subtraction word problems
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1.N.25
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Represent addition and subtraction
word problems and their solutions as number sentences
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1.N.26
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Create problem situations that
represent a given number sentence
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1.N.27
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Use a variety of strategies to
solve addition and subtraction problems with one- and two-digit numbers
without regrouping
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1.N.28
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Demonstrate fluency and apply
addition and subtraction facts to and including 1
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1.N.29
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Understand that different parts
can be added to get the same whole
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Students
will compute accurately and make reasonable estimates.
Estimation
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1.N.30
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Estimate the number in a
collection to 50 and then compare by counting the actual items in the
collection
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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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1.A.1
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Determine and discuss patterns in
arithmetic (what comes next in a repeating pattern, using numbers or objects)
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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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1.G.1
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Match shapes and parts of shapes
to justify congruency
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1.G.2
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Recognize, name, describe, create,
sort, and compare two-dimensional and three-dimensional shapes
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Students
will apply transformations and symmetry to analyze problem solving situations.
Transformational Geometry
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1.G.3
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Experiment with slides, flips, and
turns of two-dimensional shapes
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1.G.4
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Identify symmetry in
two-dimensional shapes
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Students
will apply coordinate geometry to analyze problem solving situations.
Coordinate Geometry
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1.G.5
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Recognize geometric shapes and
structures in the environment
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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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1.M.1
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Recognize length as an attribute
that can be measured
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1.M.2
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Use non-standard units (including
finger lengths, paper clips, students’ feet and paces) to measure both
vertical and horizontal lengths
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1.M.3
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Informally explore the standard unit
of measure, inch
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Students
will use units to give meaning to measurements.
Units
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1.M.4
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Know vocabulary and recognize
coins (penny, nickel, dime, quarter)
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1.M.5
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Recognize the cent notation as
¢
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1.M.6
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Use different combinations of coins
to make money amounts up to 25 cents
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1.M.7
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Recognize specific times (morning,
noon, afternoon, evening)
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1.M.8
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Tell time to the hour, using both
digital and analog clocks
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1.M.9
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Know the days of the week and months
of the year in sequence
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1.M.10
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Classify months and connect to
seasons and other events
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Students
will develop strategies for estimating measurements.
Estimation
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1.M.11
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Select and use non-standard units
to estimate measurements
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Statistics and Probability Strand
Students
will collect, organize, display, and analyze data.
Collection of Data
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1.S.1
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Pose questions about themselves
and their surroundings
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1.S.2
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Collect and record data related to
a question
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Organization
and 1.S.3 Display data in simple pictographs for quantities up to 20 with units
of one
Display of Data
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1.S.4
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Display data in bar graphs using
concrete objects with intervals of one
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1.S.5
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Use Venn diagrams to sort and
describe data
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Analysis of Data
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1.S.6
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Interpret data in terms of the
words: most, least, greater than, less than, or equal to
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1.S.7
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Answer simple questions related to
data displayed in pictographs (e.g., category with most, how many more in a category
compared to another, how many all together in two categories)
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Students
will make predictions that are based upon data analysis.
Predictions from Data
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1.S.8
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Discuss conclusions and make
predictions in terms of the words likely and unlikely
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1.S.9
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Construct a question that can be
answered by using information from a graph
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