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1.1
Number and Operations
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1.1.1
Understand and apply numbers, ways of representing numbers, and the relationships among numbers and different number systems.
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1.1.1.PO 1
Express whole numbers 0 to 100, in groups of tens and ones using and connecting multiple representations.
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1.1.1.PO 2
Count forward to 100 and backward from 100 by 1s and 10s using different starting points, and count forward to 100 by 2s and 5s.
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1.1.1.PO 3
Identify numbers which are 10 more or less than a given number to 90.
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1.1.1.PO 4
Compare and order whole numbers through 100 by applying the concepts of place value.
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1.1.1.PO 5
Recognize and compare ordinal numbers, first through tenth.
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1.1.2
Understand and apply numerical operations and their relationship to one another.
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1.1.2.PO 1
Solve contextual problems using multiple representations for addition and subtraction facts.
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1.1.2.PO 2
Demonstrate addition and subtraction of numbers that total less than 100 by using various representations that connect to place value concepts.
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1.1.2.PO 3
Develop and use multiple strategies for addition facts to 10+10 and their related subtraction facts.
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1.1.2.PO 4
Create word problems based on addition and subtraction facts.
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1.1.2.PO 5
Apply properties to solve addition/subtraction problems
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1.1.2.PO 5.a
identity property of addition/subtraction and
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1.1.2.PO 5.b
commutative property of addition.
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1.1.3
Use estimation strategies reasonably and fluently while integrating content from each of the other strands.
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1.1.3.PO 1
Use estimation to determine if sums are more or less than 5, more or less than 10, or more or less than 20.
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1.2
Data Analysis, Probability, and Discrete Mathematics
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1.2.1
Understand and apply data collection, organization, and representation to analyze and sort data.
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1.2.1.PO 1
Collect, record, organize, and display data using tally charts or pictographs.
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1.2.1.PO 2
Ask and answer questions by interpreting simple displays of data, including tally charts or pictographs.
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1.2.3
Understand and demonstrate the systematic listing and counting of possible outcomes.
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1.2.3.PO 1
Use Venn diagrams to sort, classify, and count objects and justify the sorting rule.
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1.3
Patterns, Algebra, and Functions
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1.3.1
Identify patterns and apply pattern recognition to reason mathematically while integrating content from each of the other strands.
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1.3.1.PO 1
Recognize, describe, extend, create, and record repeating patterns.
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1.3.1.PO 2
Recognize, describe, extend, create, and record growing patterns.
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1.3.3
Represent and analyze mathematical situations and structures using algebraic representations.
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1.3.3.PO 1
Record equivalent forms of whole numbers to 100 by constructing models and using numbers.
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1.3.3.PO 2
Compare expressions using spoken words and the symbols = and "is not equal to".
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1.3.3.PO 3
Represent a word problem requiring addition or subtraction facts using an equation.
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1.4
Geometry and Measurement
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1.4.1
Analyze the attributes and properties of 2- and 3- dimensional figures and develop mathematical arguments about their relationships.
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1.4.1.PO 1
Identify and draw 2-dimensional geometric figures based on given attributes regardless of size or orientation.
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1.4.1.PO 2
Compare and sort basic 2-dimensional figures (including irregular figures) using attributes and explain the reasoning for the sorting.
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1.4.1.PO 3
Describe the results of composing and decomposing 2-dimensional figures.
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1.4.4
Understand and apply appropriate units of measure, measurement techniques, and formulas to determine measurements.
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1.4.4.PO 1
Compare and order objects according to length, capacity, and weight.
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1.4.4.PO 2
Measure and compare the length of objects using the benchmark of one inch.
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1.4.4.PO 3
Sequence the days of the week and the months of the year.
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1.5
Structure and Logic
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1.5.2
Evaluate situations, select problem-solving strategies, draw logical conclusions, develop and describe solutions, and recognize their applications.
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1.5.2.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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1.5.2.PO 2
Identify the given information that can be used to find a solution.
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1.5.2.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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1.5.2.PO 4
Represent a problem situation using any combination of words, numbers, pictures, physical objects, or symbols.
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1.5.2.PO 5
Explain and clarify mathematical thinking.
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1.5.2.PO 6
Determine whether a solution is reasonable.
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