Mathematics Standards for 4-Year-Olds
Course Preface

Course Introduction

Core Standards of the Course

Strand 1: COUNTING AND CARDINALITY
Counting and cardinality includes the ability to identify by name, count in sequence, use one-to-one correspondence, and describe quantities of objects counted.

Standard Math 4 yr.1.1
Count to 20 by ones.

Standard Math 4 yr.1.2
In the sequence of 1-10, identify numbers that come before or after one another.

Standard Math 4 yr.1.3
Count a number of objects from 0-10 and begin to associate them with a written numeral.

Standard Math 4 yr.1.4
Name written numerals 0-10.

Standard Math 4 yr.1.5
Use one-to-one correspondence when counting objects to ten.

Standard Math 4 yr.1.6
When counting objects to ten, understand that the last number counted in a set tells how many.

Standard Math 4 yr.1.7
Count two sets of objects up to 10 to determine which has more.

Strand 2: OPERATIONS AND ALGEBRAIC THINKING
Operations and algebraic thinking involve identifying and manipulating simple patterns, the understanding of addition as putting together and adding to, and the understanding of subtraction as taking apart and removing from.

Standard Math 4 yr.2.1
Understand and represent addition up to five (adding to or putting together) and subtraction (taking from or taking apart) with concrete objects, fingers, movement, and simple drawings.

Standard Math 4 yr.2.2
With prompting and support, solve addition and subtraction word problems created by the teacher using up to five concrete objects to represent the problem (for example, "Bring me three blocks, now bring me two more. How many blocks do we have?").

Standard Math 4 yr.2.3
Take apart numbers less than or equal to five by using objects with different attributes (for example, 5 can be taken apart into sets of 2 blue and 3 yellow or 1 square and 4 circles).

Standard Math 4 yr.2.4
Use concrete objects to make sums of 5 using quantities from 0-5. (for example, 0 and 5 make a set of 5, 2 and 3 make a set of 5.)

Standard Math 4 yr.2.5
Duplicate, extend, and create simple patterns (for example, ababab).

Strand 3: MEASUREMENT AND DATA
Measurement and Data involve the ability to describe and compare measurable attributes of objects, classify objects, and count the number of objects in each category.

Standard Math 4 yr.3.1
Describe objects using vocabulary specific to measurable attributes (for example, length [long/short], weight [heavy/light], size [big/small], and distance [near/far]).

Standard Math 4 yr.3.2
Directly compare two objects using measurable attributes (for example, length [longer/shorter], weight [heavier/lighter], and size [bigger/smaller]).

Standard Math 4 yr.3.3
Classify/sort objects into given categories (for example, color, size, shape) by specified attributes.

Standard Math 4 yr.3.4
Compare the number of objects in each category to identify which groups contain more or less, or are the same.

Strand 4: GEOMETRY
Geometry involves the ability to identify, describe, compare, and create shapes.

Standard Math 4 yr.4.1
Describe objects in the environment by using names of shapes and identify the relative positions of these objects using terms such as above, below, beside, in front of, behind, and next to.

Standard Math 4 yr.4.2
Identify and name basic shapes regardless of their size and/or orientation (the way the object is turned or flipped).

Standard Math 4 yr.4.3
Begin to explore that shapes can be two-dimensional (flat) or three-dimensional (solid).

Standard Math 4 yr.4.4
Describe attributes of basic two-dimensional shapes including size, number of sides, number of corners, etc.

Standard Math 4 yr.4.5
Create basic shapes using a variety of media (for example, blocks, stickers, play dough/clay, art supplies).

Standard Math 4 yr.4.6
Explore combining basic shapes to create new shapes (for example, two triangles make a rhombus).

http://www.uen.org - in partnership with Utah State Board of Education (USBE) and Utah System of Higher Education (USHE).  Send questions or comments to USBE Specialist - Cristina  Barrera and see the Early Learning website. For general questions about Utah's Core Standards contact the Director - Jennifer  Throndsen.

These materials have been produced by and for the teachers of the State of Utah. Copies of these materials may be freely reproduced for teacher and classroom use. When distributing these materials, credit should be given to Utah State Board of Education. These materials may not be published, in whole or part, or in any other format, without the written permission of the Utah State Board of Education, 250 East 500 South, PO Box 144200, Salt Lake City, Utah 84114-4200.