• District
  • High School
  • Middle School
  • Elementary School
  • Athletics
  • The Arts
  • Technology
Core Content and Skills
Math Grade K
2008-2009
BOE Approved


MATHEMATICAL THINKING
 Content 
 Skills 
1:1 correspondence

Shapes

Matching

Introduction to numerals 1-20

Methods of counting

 
Calendar activities

Choral counting 1-20;
individual counting 1-10


Identify shapes: circle, square, rectangle, trapezoid, rhombus, hexagon, triangle

 
 
Calendar activities

 
 
EXPLORING PATTERNS
 Content 
 Skills 
Recognizing and describing a pattern

Predicting what comes next in a pattern

Recording a pattern

 
Observing and describing patterns

Recognizing and describing a pattern

Creating and extending patterns

Predicting what comes next in a pattern

Recording a pattern

 
 
Mathematical thinking
 Content 
 Skills 
Patterns

Graphing



Numbers 1-5

 
Calendar

Shapes to make patterns

Birthday charts

1:1 correspondence with numbers 1-5


Write numbers 1-5

Observing and describing attributes

 
 
COLLECTING AND COUNTING DATA
 Content 
 Skills 
Patterning continued

Numbers 5-10

Counting and collecting

Connecting numerals to the quantities they represent

Representing quantities with pictures, numerals or words

Counting groups of objects

 
Writing numbers from 5-10, 1:1 correspondence with numbers from 5-10


Thinking about what, when, why and how people count

Recognize numerals and number names

Connect numerals to the quantities they represent

Create a set of a given size

Represent quantities with pictures, numerals or words

Use language to describe and compare lengths

Measure by direct comparison

Counting groups of objects

Counting sets of objects

Compare quantities to determine which is more

Order quantities from least to most or most to least

Represent mathematical work

Find ways to visualize and arrange a set of six objects

Solve a problem with many possible solutions

 
 
NUMBER RELATIONSHIPS
 Content 
 Skills 
Number relationships


Numbers 10-15

Ordinal numbers

Graphing



 
Write numbers 10-15

1:1 correspondence of number 10-15



Develop and use strategies for counting



Relate counting to the quantity of items in a group



Use one-to-one correspondence


Explore two-to-one correspondence


Represent data in a variety of ways


Organize a set of data in more than one way


Look at different representations of the same data set


Discuss the information in a data representation


Solve a mathematical problem based on data


 
 
NUMBERS IN OUR ENVIRONMENT
 Content 
 Skills 
Numbers in our environment ( phone, birthday date, etc.)


Numbers 15-20

 
Write numbers 15-20

1:1 correspondence with numbers 15-20

Use one-to-one correspondence


Explore two-to-one correspondence


Collect data by counting

Represent data in a variety of ways


Look at different representations of the same set of data


Make pictures to record and represent data


 
 
PATTERNS AND SHAPES
 Content 
 Skills 
Patterns continued

Drawing shapes


100th day of school


 
Identify the root or base of a pattern


Discover what comes next


Graph, count, and tally the 100th day of school


Recognize shapes in the environment

Observe and describe 2-D shapes

Relate 2-D shapes to real-world objects

Find combinations of shapes that fill an area

Observe and describe two-dimensional shapes




Build knowledge about the relationships among pattern block shapes



 
 
COUNTING OURSELVES AND OTHERS
 Content 
 Skills 
Counting

Surveying

Organizing data

 
Develop and use strategies for counting

Relate counting to the quantity of items in a group



Use one-to-one correspondence

Represent data in a variety of ways

Look at different representations of the same data set

Sort objects into groups by attribute

Collect, record, and represent data

Organize a set of data in more than one way

Note similarities and differences in related objects

Discuss the information in a data representation

Compose a survey question

 
 
INTRODUCTION TO MONEY
 Content 
 Skills 
Penny, nickel, and dime


 
 
 
MAKING SHAPES AND BUILDING BLOCKS
 Content 
 Skills 
Shapes in the environment


Two-dimensional shapes


 
Name and recognize an oval, rhombus, and hexagon

Observe and describe two-dimensional shapes




Build knowledge about the relationships among pattern block shapes



 
 
BEGIN OPERATIONS
 Content 
 Skills 
Addition

Subtraction

 
 
 
HOW MANY IN ALL
 Content 
 Skills 
Counting

Representing quantities


 
Count up to 20 objects


Represent quantities with pictures, numbers, and words


Determine the larger of two amounts, up to 20


Find the total of two or more single-digit numbers


 
 
 
Putnam Valley Central School District, 146 Peekskill Hollow Road, Putnam Valley, NY 10579
Phone (845) 528-8143 Fax (845) 528-0274