PreKindergarten

Problem Solving Strand

Students will build new mathematical knowledge through problem solving.
PK.PS.1 Explore, examine, and make observations about a social problem or mathematical situation
PK.PS.2 Interpret information correctly, identify the problem, and generate possible solutions
Students will solve problems that arise in mathematics and in other contexts.
PK.PS.3 Act out or model with manipulatives activities involving mathematical content from literature and/or story telling
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)
Students will apply and adapt a variety of appropriate strategies to solve problems.
PK.PS.5 Use informal counting strategies to find solutions
PK.PS.6 Experience teacher-directed questioning process to understand problems
PK.PS.7 Compare and discuss ideas for solving a problem with teacher and/or students to justify their thinking
PK.PS.8 Use manipulatives (e.g., tiles, blocks) to model the action in problems
PK.PS.9 Use drawings/pictures to model the action in problems
Students will monitor and reflect on the process of mathematical problem solving.
PK.PS.10 Explain to others how a problem was solved, giving strategies

Reasoning and Proof Strand

Students will recognize reasoning and proof as fundamental aspects of mathematics.
PK.RP.1 Understand that mathematical statements can be true or false
Students will make and investigate mathematical conjectures.
PK.RP.2 Investigate the use of knowledgeable guessing as a mathematical tool
PK.RP.3 Explore guesses, using a variety of objects and manipulatives
Students will develop and evaluate mathematical arguments and proofs.
PK.RP.4 Listen to claims other students make

Communication Strand

Students will organize and consolidate their mathematical thinking through communication.
PK.CM.1 Understand how to organize their thought processes with teacher guidance
Students will communicate their mathematical thinking coherently and clearly to peers, teachers, and others.
PK.CM.2 Share mathematical ideas through the manipulation of objects, drawings, pictures, and verbal explanations
Students will analyze and evaluate the mathematical thinking and strategies of others.
PK.CM.3 Listen to solutions shared by other students
PK.CM.4 Formulate mathematically relevant questions with teacher guidance
Students will use the language of mathematics to express mathematical ideas precisely.
PK.CM.5 Use appropriate mathematical terms, vocabulary, and language

Connections Strand

Students will recognize and apply mathematics in contexts outside of mathematics.
PK.CN.1 Recognize the presence of mathematics in their daily lives
PK.CN.2 Use counting strategies to solve problems in their daily lives
PK.CN.3 Recognize and apply mathematics to objects and pictures

Representation Strand

Students will create and use representations to organize, record, and communicate mathematical ideas.
PK.R.1 Use multiple representations, including verbal language, acting out or modeling a situation, and drawing pictures as representations
PK.R.2 Use standard and nonstandard representations
Students will use representations to model and interpret physical, social, and mathematical phenomena.
PK.R.3 Use objects to show and understand physical phenomena (e.g., guess the number of cookies in a package)

PK.R.4

Use objects to show and understand social phenomena (e.g., count and represent sharing cookies between friends)
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)

Number Sense and Operations Strand

Students will understand numbers, multiple ways of representing numbers, relationships among numbers, and number systems.

Number Systems

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)
PK.N.2 Count out (produce) a collection of a specified size 1 to 10
PK.N.3 Verbally count by 1ís to 10
PK.N.4 Explore the different representations of a group of objects
PK.N.5 Draw pictures or other informal symbols to represent a spoken number up to 5
PK.N.6 Draw pictures or other informal symbols to represent how many in a collection up to 5
PK.N.7 Recognize numerals (0-5)
PK.N.8 Use and understand the terms first and last
Students will understand meanings of operations and procedures, and how they relate to one another.

Operations

 PK.N.9 Develop addition and subtraction readiness with sums up to 4 and subtraction involving one to four items, using manipulatives

Algebra Strand

Students will recognize, use, and represent algebraically patterns, relations, and functions.

Patterns, Relations and Functions

PK.A.1 Duplicate simple patterns using concrete objects

 Geometry Strand

Students will use visualization and spatial reasoning to analyze characteristics and properties of geometric shapes.

Shapes

 PK.G.1 Match shapes, first with same size and orientation, then with different sizes and orientation
PK.G.2 Informally play with solids (e.g., building blocks)

Measurement Strand

Students will determine what can be measured and how, using appropriate methods and formulas.

Units of Measurement

PK.M.1 Develop language such as bigger, longer, and taller to discuss length
PK.M.2 Relate specific times such as day and night

 Statistics and Probability Strand

Students will collect, organize, display, and analyze data.

Organization and Display of Data

PK.S.1 Sort and organize objects by one attribute (e.g., color, size, or shape)
PK.S.2 Use physical objects to make graphs

Analysis of Data

PK.S.3 Count and compare groups formed (quantify groups formed)
PK.S.4 Describe the attributes of objects

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Integrated Algebra Geometry Algebra 2 and Trigonometry

06/20/2006