## It's 10 a. m.: Can Your Pre-Schooler Recognize, Use, and Represent Algebraically Patterns, Relations, and Functions?
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 (i.e., 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 (i.e., 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
PK.CN.1 Recognize the presence of mathematics in their daily lives
Students will recognize and apply mathematics in contexts outside of mathematics. 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 (i.e., guess the number of cookies in a package) PK.R.4 Use objects to show and understand social phenomena (i.e., count and represent sharing cookies between friends) PK.R.5 Use objects to show and understand mathematical phenomena (i.e., 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 1's 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, PK.A.1 Duplicate simple patterns using concrete objects and Functions 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 (i.e., building blocks) Measurement Strand
Students will determine what can be measured and how, using appropriate methods and formulas.Units of PK.M.1 Develop language such as bigger, longer, and taller to discuss Measurement length PK.M.2 Relate specific times such as day and night Statistics and Probability Strand
Students will collect, organize, display, and analyze data. PK.S.1 Sort and organize objects by one attribute (i.e., color, size, or Display of Data 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
— New York State Education Department |

**FAIR USE NOTICE**

This site contains copyrighted material the use of which has not always been specifically
authorized by the copyright owner. We are making such material available in our efforts to
advance understanding of education issues vital to a democracy. We believe this constitutes a
'fair use' of any such copyrighted material as provided for in section 107 of the US
Copyright Law. In accordance with Title 17 U.S.C. Section 107, the material on this site is
distributed without profit to those who have expressed a prior interest in receiving the
included information for research and educational purposes. For more information click here. If you wish to use copyrighted material from
this site for purposes of your own that go beyond 'fair use', you must obtain permission from
the copyright owner.