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PK
Numbers, Number Sense, and Computation
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PK.1.0
To solve problems, communicate, reason, and make connections within and beyond the field of mathematics, students will accurately calculate and use estimation techniques, number relationships, operation rules, and algorithms; they will determine the reasonableness of answers and the accuracy of solutions.
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PK.1.PK.1
Use concrete objects to combine and separate groups up to 5.
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PK.1.PK.5
Count to 10.
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PK.1.PK.6
Recognize and read numerals 0-5.
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PK.1.PK.7
Estimate the number of objects in a set to 5 and verify by counting.
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PK.1.PK.8
Match the number of objects to the correct numeral 0-5.
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PK
Patterns, Functions, and Algebra
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PK.2.0
To solve problems, communicate, reason, and make connections within and beyond the field of mathematics, students will use various algebraic methods to analyze, illustrate, extend, and create numerous representations (words, numbers, tables, and graphs) of patterns, functions, and algebraic relations as modeled in practical situations.
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PK.2.PK.1a
Sort objects by similar attributes (e.g., size, shape, and color).
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PK.2.PK.1b
Recognize and replicate simple patterns (e.g. ABAB).
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PK.2.PK.4
Compare sets of objects. Determine which set has more or less.
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PK
Measurement
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PK.3.0
To solve problems, communicate, reason and make connections within and beyond the field of mathematics, students will use appropriate tools and techniques of measurement to determine, estimate, record, and verify direct and indirect measurements.
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PK.3.PK.1
Compare objects by size to determine smaller and larger.
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PK.3.PK.4
Sort pennies and nickels.
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PK.3.PK.6
Identify day and night.
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PK
Spatial Relationships and Geometry
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PK.4.0
To solve problems, communicate, and make connections within and beyond the field of mathematics, students will identify, represent, verify, and apply spatial relationships and geometric properties.
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PK.4.PK.1
Identify circles, triangles, and squares.
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PK.4.PK.2
Identify positions (e.g., in front, behind, next to, up, down, inside, outside, on top).
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PK
Data Analysis
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PK.5.0
To solve problems, communicate, reason, and make connections within and beyond the field of mathematics, students will collect, organize, display, interpret, and analyze data to determine statistical relationships and probability projections.
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PK.5.PK.1
Identify and sort data (e.g., interpret quantity in pictures).
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PK
Problem Solving
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PK.6.0
Students will develop their ability to solve problems by engaging in developmentally appropriate problem solving opportunities in which there is a need to use various approaches to investigate and understand mathematical concepts in order to: formulate their own problems; find solutions to problems from everyday situations; develop and apply strategies to solve a wide variety of problems; and integrate mathematical reasoning, communication and connections.
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PK.6.2 E/S
Apply previous experience and knowledge to new problem-solving situations.
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PK.6.4 E/L
Explain and verify results with respect to the original problem.
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PK.6.6 E/L
Try more than one strategy when the first strategy proves to be unproductive.
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PK.6.8 E/L
Apply solutions and strategies from earlier problems to new problem situations.
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PK
Mathematical Communication
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PK.7.0
Students will develop their ability to communicate mathematically by solving problems in which there is a need to obtain information from the real world through reading, listening, and observing in order to: translate this information into a mathematical language and symbols; process this information mathematically; and present results in written, oral and visual formats.
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PK.7.1 E/L
Discuss and exchange ideas about mathematics as a part of learning.
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PK.7.2 E/L
Use inquiry techniques (e.g. discussion, questioning, research, data gathering) to solve mathematical problems.
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PK.7.4 E/L
Use pictorial representations to identify mathematical operations and concepts.
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PK.7.7 E/S
Use physical materials, models, pictures, or writing to represent and communicate mathematical ideas.
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PK.7.12 W/L
Explain and justify thinking about mathematical ideas and solutions.
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PK.7.15 E/L
Use everyday language to explain thinking about strategies and solutions to mathematical problems.
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PK.7.16 E/S
Express mathematical ideas and use them to define, compare, and solve problems orally and in writing.
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PK.7.17 E/L
Use mathematical notation to communicate and explain mathematical situations.
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PK
Mathematical Reasoning
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PK.8.0
Student will develop their ability to reason mathematically by solving problems in which there is a need to investigate significant mathematical ideas and construct their own learning in all content areas in order to justify their thinking; reinforce and extend their logical reasoning abilities; reflect on and clarify their own thinking; and ask questions to extend their thinking.
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PK.8.8 E/L
Ask questions to reflect on, clarify, and extend thinking.
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PK.8.11 E/S
Determine relevant, irrelevant, and/or sufficient information to solve mathematical problems.
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PK
Mathematical Connections
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PK.9.0
Students will develop the ability to make mathematical connections by solving problems in which there is a need to view mathematics as an integrated whole, identifying relationships between context strands, and integrating mathematics with other disciplines, allowing the flexibility to approach problems in a variety of ways within and beyond the field of mathematics.
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PK.9.1 E/L
Link new concepts to prior knowledge.
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