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2.1
Number and Operations
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2.1.1
Understand and apply numbers, ways of representing numbers, and the relationships among numbers and different number systems.
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2.1.1.PO 1
Express whole numbers 0 to 1000, in groups of hundreds, tens and ones using and connecting multiple representations.
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2.1.1.PO 2
Count forward to 1000 and backward from 1000 by 1s, 10s, and 100s using different starting points.
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2.1.1.PO 3
Identify numbers which are 100 more or less than a given number to 900.
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2.1.1.PO 4
Compare and order whole numbers through 1000 by applying the concept of place value.
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2.1.1.PO 5
Count money to $1.00.
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2.1.1.PO 6
Sort whole numbers through 1000 into odd and even, and justify the sort.
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2.1.2
Understand and apply numerical operations and their relationship to one another.
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2.1.2.PO 1
Solve contextual problems using multiple representations involving
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2.1.2.PO 1.a
addition and subtraction with one- and/or two-digit numbers,
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2.1.2.PO 1.b
multiplication for 1s, 2s, 5s, and 10s, and
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2.1.2.PO 1.c
adding and subtracting money to $1.00.
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2.1.2.PO 2
Demonstrate the ability to add and subtract whole numbers (to at least two digits) and decimals (in the context of money)
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2.1.2.PO 2.a
with up to three addends and
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2.1.2.PO 2.b
to $1.00.
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2.1.2.PO 3
Demonstrate fluency of addition and subtraction facts.
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2.1.2.PO 4
Apply and interpret the concept of addition and subtraction as inverse operations to solve problems.
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2.1.2.PO 5
Create and solve word problems based on addition and subtraction of two-digit numbers.
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2.1.2.PO 6
Demonstrate the concept of multiplication for 1s, 2s, 5s, and 10s.
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2.1.2.PO 7
Describe the effect of operations (addition and subtraction) on the size of whole numbers.
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2.1.2.PO 8
Apply properties to solve addition/subtraction problems
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2.1.2.PO 8.a
identity property of addition/subtraction,
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2.1.2.PO 8.b
commutative property of addition, and
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2.1.2.PO 8.c
associative property of addition.
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2.1.3
Use estimation strategies reasonably and fluently while integrating content from each of the other strands.
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2.1.3.PO 1
Use estimation to determine if sums of two 2-digit numbers are more or less than 20, more or less than 50, or more or less than 100.
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2.2
Data Analysis, Probability, and Discrete Mathematics
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2.2.1
Understand and apply data collection, organization, and representation to analyze and sort data.
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2.2.1.PO 1
Collect, record, organize, and display data using pictographs, frequency tables, or single bar graphs.
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2.2.1.PO 2
Formulate and answer questions by interpreting displays of data, including pictographs, frequency tables, or single bar graphs.
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2.2.2
Understand and apply the basic concepts of probability.
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2.2.3
Understand and demonstrate the systematic listing and counting of possible outcomes.
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2.2.3.PO 1
List all possibilities in counting situations.
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2.2.3.PO 2
Solve a variety of problems based on the addition principle of counting.
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2.2.4
Understand and apply vertex-edge graphs.
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2.2.4.PO 1
Color simple pictures or maps using the least number of colors and justify the coloring.
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2.2.4.PO 2
Build vertex-edge graphs using concrete materials and explore simple properties of vertex-edge graphs
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2.2.4.PO 2.a
number of vertices and edges,
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2.2.4.PO 2.b
neighboring vertices, and
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2.2.4.PO 2.c
paths in a graph.
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2.2.4.PO 3
Construct simple vertex-edge graphs from simple pictures or maps.
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2.3
Patterns, Algebra, and Functions
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2.3.1
Identify patterns and apply pattern recognition to reason mathematically while integrating content from each of the other strands.
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2.3.1.PO 1
Recognize, describe, extend, create, and find missing terms in a numerical or symbolic pattern.
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2.3.1.PO 2
Explain the rule for a given numerical or symbolic pattern and verify that the rule works.
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2.3.2
Describe and model functions and their relationships.
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2.3.2.PO 1
Describe a rule that represents a given relationship between two quantities using words or pictures.
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2.3.3
Represent and analyze mathematical situations and structures using algebraic representations.
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2.3.3.PO 1
Record equivalent forms of whole numbers to 1000 by constructing models and using numbers.
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2.3.3.PO 2
Compare expressions using spoken words and the symbols =, "is not equal to", <, and >.
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2.3.3.PO 3
Represent a word problem requiring addition or subtraction through 100 using an equation.
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2.3.3.PO 4
Identify the value of an unknown number in an equation involving an addition or subtraction fact.
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2.4
Geometry and Measurement
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2.4.1
Analyze the attributes and properties of 2- and 3- dimensional figures and develop mathematical arguments about their relationships.
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2.4.1.PO 1
Describe and compare the attributes of polygons up to six sides using the terms side, vertex, point, and length.
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2.4.2
Apply spatial reasoning to create transformations and use symmetry to analyze mathematical situations.
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2.4.2.PO 1
Identify, with justification, whether a 2-dimensional figure has lines of symmetry.
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2.4.4
Understand and apply appropriate units of measure, measurement techniques, and formulas to determine measurements.
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2.4.4.PO 1
Tell time to the nearest minute using analog and digital clocks.
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2.4.4.PO 2
Apply measurement skills to measure the attributes of an object (length, capacity, weight).
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2.4.4.PO 3
Read temperatures on a thermometer using Fahrenheit and Celsius.
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2.4.4.PO 4
Demonstrate unit conversions
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2.4.4.PO 4.a
1 foot = 12 inches,
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2.4.4.PO 4.b
1 quart = 4 cups,
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2.4.4.PO 4.c
1 pound = 16 ounces,
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2.4.4.PO 4.d
1 hour = 60 minutes,
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2.4.4.PO 4.e
1 day = 24 hours,
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2.4.4.PO 4.f
1 week = 7 days, and
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2.4.4.PO 4.g
1 year = 12 months.
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2.5
Structure and Logic
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2.5.2
Evaluate situations, select problem-solving strategies, draw logical conclusions, develop and describe solutions, and recognize their applications.
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2.5.2.PO 1
Identify the question(s) asked and any other questions that need to be answered in order to find a solution.
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2.5.2.PO 2
Identify the given information that can be used to find a solution.
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2.5.2.PO 3
Select from a variety of problem-solving strategies and use one or more strategies to arrive at a solution.
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2.5.2.PO 4
Represent a problem situation using any combination of words, numbers, pictures, physical objects, or symbols.
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2.5.2.PO 5
Explain and clarify mathematical thinking.
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2.5.2.PO 6
Determine whether a solution is reasonable.
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