Problem
Solving Strand
Students
will build new mathematical knowledge through problem solving.
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2.PS.1
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Explore, examine, and make
observations about a social problem or mathematical situation
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2.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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2.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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2.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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2.PS.5
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Use informal counting strategies
to find solutions
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2.PS.6
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Experience teacher-directed
questioning process to understand problems
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2.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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2.PS.8
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Use manipulatives
(e.g., tiles, blocks) to model the action in problems
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2.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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2.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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2.RP.1
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Understand that mathematical
statements can be true or false
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2.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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2.RP.3
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Investigate the use of
knowledgeable guessing as a mathematical tool
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2.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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2.RP.5
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Justify general claims, using manipulatives
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2.RP.6
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Develop and explain an argument
verbally or with objects
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2.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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2.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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2.CM.1
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Understand how to organize their
thought processes
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2.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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2.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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2.CM.4
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Listen to solutions shared by
other students
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2.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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2.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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2.CN.1
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Recognize the connections of
patterns in their everyday experiences to mathematical ideas
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2.CN.2
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Understand and use the connections
between numbers and the quantities they represent to solve problems
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2.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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2.CN.4
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Understand how models of
situations involving objects, pictures, and symbols relate to mathematical
ideas
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2.CN.5
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Understand meanings of operations
and how they relate to one another
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2.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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2.CN.7
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Recognize the presence of
mathematics in their daily lives
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2.CN.8
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Recognize and apply mathematics to
solve problems
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2.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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2.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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2.R.2
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Share mental images of
mathematical ideas and understandings
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2.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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2.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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2.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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2.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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2.R.7
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Use mathematics to show and
understand mathematical phenomena (e.g., draw pictures to show a story
problem or 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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2.N.1
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Skip count to 100 by 2’s,
5’s, 10’s
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2.N.2
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Count back from 100 by 1’s,
5’s, 10’s using a number chart
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2.N.3
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Skip count by 3’s to 36 for
multiplication readiness
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2.N.4
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Skip count by 4’s to 48 for
multiplication readiness
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2.N.5
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Compare and order numbers to 100
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2.N.6
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Develop an understanding of the
base ten system:
10 ones = 1 ten
10 tens = 1 hundred
10 hundreds = 1 thousand
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2.N.7
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Use a variety of strategies to
compose and decompose two-digit numbers
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2.N.8
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Understand and use the commutative
property of addition
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2.N.9
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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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2N.10
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Use and understand verbal ordinal
terms
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2.N.11
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Read written ordinal terms (first
through ninth) and use them to represent ordinal relations
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2.N.12
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Use zero as the identity element
for addition
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2.N.13
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Recognize the meaning of zero in
the place value system (0-100)
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Number Theory
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2.N.14
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Use concrete materials to justify
a number as odd or even
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Students
will understand meanings of operations and procedures, and how they relate to
one another.
Operations
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2.N.15
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Determine sums and differences of
number sentences by various means (e.g., families, related facts, inverse
operations, addition doubles, and doubles plus one)
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2.N.16
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Use a variety of strategies to solve
addition and subtraction problems using one- and two-digit numbers with and
without regrouping
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2.N.17
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Demonstrate fluency and apply
addition and subtraction facts up to and including 18
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2.N.18
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Use doubling to add 2-digit
numbers
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2.N.19
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Use compensation to add 2-digit
numbers
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2.N.20
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Develop readiness for
multiplication by using repeated addition
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2.N.21
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Develop readiness for division by
using repeated subtraction, dividing objects into groups (fair share)
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Students
will compute accurately and make reasonable estimates.
Estimation
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2.N.22
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Estimate the number in a
collection to 100 and then compare by counting the actual items in the
collection
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Algebra Strand
Students
will perform algebraic procedures accurately.
Equations and Inequalities
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2.A.1
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Use the symbols <, >, =
(with and without the use of a number line) to compare whole numbers up to
100
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Students
will recognize, use, and represent algebraically patterns, relations, and
functions.
Patterns, Relations, and Functions
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2.A.2
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Describe and extend increasing or
decreasing (+,-) sequences and patterns (numbers or objects up to 100)
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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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2.G.1
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Experiment with slides, flips, and
turns to compare two-dimensional shapes
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2.G.2
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Identify and appropriately name two-dimensional
shapes: circle, square, rectangle, and triangle (both regular and irregular)
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2.G.3
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Compose (put together) and
decompose (break apart) two-dimensional shapes
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Students
will identify and justify geometric relationships, formally and informally.
Geometric Relationships
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2.G.4
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Group objects by like properties
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Students
will apply transformations and symmetry to analyze problem solving situations.
Transformational Geometry
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2.G.5
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Explore and predict the outcome of
slides, flips, and turns of two dimensional shapes
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2.G.6
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Explore line symmetry
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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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2.M.1
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Use non-standard and standard
units to measure both vertical and horizontal lengths
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2.M.2
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Use a ruler to measure standard
units (including whole inches and whole feet)
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2.M.3
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Compare and order objects according
to the attribute of length
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2.M.4
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Recognize mass as a qualitative
measure (e.g., Which is heavier? Which is lighter?)
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2.M.5
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Compare and order objects, using
lighter than and heavier than
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Students
will use units to give meaning to measurements.
Units
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2.M.6
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Know and recognize coins (penny,
nickel, dime, quarter) and bills ($1, $5, $10, and $20)
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2.M.7
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Recognize the whole dollar
notation as $1, etc.
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2.M.8
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Identify equivalent combinations
to make one dollar
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2.M.9
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Tell time to the half hour and
five minutes using both digital and analog clocks
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Students
will develop strategies for estimating measurements.
Estimation
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2.M.10
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Select and use standard
(customary) and 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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2.S.1
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Formulate questions about
themselves and their surroundings
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2.S.2
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Collect and record data (using
tallies) related to the question
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Organization and Display of Data
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2.S.3
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Display data in pictographs and
bar graphs using concrete objects or a representation of the object
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Analysis of Data
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2.S.4
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Compare and interpret data in
terms of describing quantity (similarity or differences)
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Students
will make predictions that are based upon data analysis.
Predictions from Data
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2.S.5
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Discuss conclusions and make
predictions from graphs
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