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PK.PS
Problem Solving
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Students will build new mathematical knowledge through problem solving.
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PK.PS.1
Explore, examine, and make observations about a social problem or mathematical situation
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PK.PS.2
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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PK.PS.3
Act out or model with manipulatives activities involving mathematical content from literature and/or story telling
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PK.PS.4
Formulate problems and solutions from everyday situations (e.g., as 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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PK.PS.5
Use informal counting strategies to find solutions
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PK.PS.6
Experience teacher-directed questioning process to understand problems
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PK.PS.7
Compare and discuss ideas for solving a problem with teacher and/or students to justify their thinking
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PK.PS.8
Use manipulatives (e.g., tiles, blocks) to model the action in problems
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PK.PS.9
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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PK.PS.10
Explain to others how a problem was solved, giving strategies
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PK.RP
Reasoning and Proof
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Students will recognize reasoning and proof as fundamental aspects of mathematics.
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PK.RP.1
Understand that mathematical statements can be true or false
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Students will make and investigate mathematical conjectures.
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PK.RP.2
Investigate the use of knowledgeable guessing as a mathematical tool
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PK.RP.3
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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PK.RP.4
Listen to claims other students make
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PK.CM
Communication
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Students will organize and consolidate their mathematical thinking through communication.
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PK.CM.1
Understand how to organize their thought processes with teacher guidance
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Students will communicate their mathematical thinking coherently and clearly to peers, teachers, and others.
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PK.CM.2
Share mathematical ideas through the manipulation of objects, drawings, pictures, and verbal explanations
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Students will analyze and evaluate the mathematical thinking and strategies of others.
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PK.CM.3
Listen to solutions shared by other students
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PK.CM.4
Formulate mathematically relevant questions with teacher guidance
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Students will use the language of mathematics to express mathematical ideas precisely.
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PK.CM.5
Use appropriate mathematical terms, vocabulary, and language
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PK.CN
Connections
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Students will recognize and apply mathematics in contexts outside of mathematics.
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PK.CN.1
Recognize the presence of mathematics in their daily lives
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PK.CN.2
Use counting strategies to solve problems in their daily lives
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PK.CN.3
Recognize and apply mathematics to objects and pictures
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PK.R
Representation
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Students will create and use representations to organize, record, and communicate mathematical ideas.
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PK.R.1
Use multiple representations, including verbal language, acting out or modeling a situation, and drawing pictures as representations
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PK.R.2
Use standard and nonstandard representations
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Students will use representations to model and interpret physical, social, and mathematical phenomena.
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PK.R.3
Use objects to show and understand physical phenomena (e.g., guess the number of cookies in a package)
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PK.R.4
Use objects to show and understand social phenomena (e.g., count and represent sharing cookies between friends)
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PK.R.5
Use objects 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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PK.N
Number Sense and Operations
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Students will understand numbers, multiple ways of representing numbers, relationships among numbers, and number systems.
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Number Systems
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PK.N.1
Count the items in a collection and know the last counting word tells how many items are in the collection (1 to 10)
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PK.N.2
Count out (produce) a collection of a specified size 1 to 10
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PK.N.3
Verbally count by 1's to 10
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PK.N.4
Explore the different representations of a group of objects
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PK.N.5
Draw pictures or other informal symbols to represent a spoken number up to 5
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PK.N.6
Draw pictures or other informal symbols to represent how many in a collection up to 5
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PK.N.7
Recognize numerals (0-5)
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PK.N.8
Use and understand the terms first and last
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Students will understand meanings of operations and procedures, and how they relate to one another.
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Operations
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PK.N.9
Develop addition and subtraction readiness with sums up to 4 and subtraction involving one to four items, using manipulatives
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PK.A
Algebra
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Students will recognize, use, and represent algebraically patterns, relations, and functions.
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Patterns, Relations, and Functions
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PK.A.1
Duplicate simple patterns using concrete objects
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PK.G
Geometry
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Students will use visualization and spatial reasoning to analyze characteristics and properties of geometric shapes.
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Shapes
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PK.G.1
Match shapes, first with same size and orientation, then with different sizes and orientation
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PK.G.2
Informally play with solids (e.g., building blocks)
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PK.M
Measurement
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Students will determine what can be measured and how, using appropriate methods and formulas.
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Units of Measurement
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PK.M.1
Develop language such as bigger, longer, and taller to discuss length
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PK.M.2
Relate specific times such as day and night
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PK.S
Statistics and Probability
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Students will collect, organize, display, and analyze data.
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Organization and Display of Data
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PK.S.1
Sort and organize objects by one attribute (e.g., color, size, or shape)
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PK.S.2
Use physical objects to make graphs
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Analysis of Data
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PK.S.3
Count and compare groups formed (quantify groups formed)
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PK.S.4
Describe the attributes of objects
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