Mathematics Standards - Age 3 (2023)
Course Introduction
Printable Version (pdf)
INTRODUCTION
Mathematics is a way of thinking about patterns, relationships, and seeking multiple solutions to problems. Childrens knowledge of math concepts and language are used in all learning domains.
Children learn mathematics best when their natural interests and curiosity are nurtured through intentional instruction. Quality learning environments should focus on actual hands-on experiences during play and interaction with others to incorporate well-designed mathematical experiences. Preschool children should experience language-rich environments that help them connect mathematical concepts, problem-solving, and reasoning skills to previous knowledge.
ADULTS SUPPORT LEARNING IN MATHEMATICS WHEN THEY:
- Give children adequate time to explore and experiment with manipulatives before starting teacher planned instruction.
- Design experiences where children explore and experience their environment to identify spatial relationships such as, How many children fit inside the castle in the outdoor area?
- Model and encourage correct mathematical language throughout the day.
- Use mathematical language to extend childrens understanding within the context of their experiences, such as: Do you want half a glass of milk or a full glass of milk? or Would you like more or fewer grapes than I have?
- Explore addition and subtraction, and compare objects using measurable attributes (length, width, or size) in the context of classroom play or teacher-guided activities.
- Integrate mathematical experiences, including stories, chants, and songs to reinforce mathematical concepts such as Five Little Speckled Frogs, Five Little Ducks, and The Three Billy Goats Gruff.
- Provide a variety of manipulatives and materials in math centers.
- Integrate mathematics throughout the day (for example, counting snacks, identifying shapes, ordering objects by length or size).
- Design home experiences to incorporate math skills (for example, count steps from the bed to the door, count chairs, find shapes in furniture, find patterns in the tablecloth).
- Use a variety of tools to incorporate mathematical concepts (for example, water table, sandbox, modeling clay, blocks).
Core Standards of the Course
Strand 1: COUNTING AND CARDINALITY
Counting and cardinality includes the ability to identify numerals by name, count in sequence, use one-to-one correspondence, and describe quantities of objects counted.
Standard Math 3 yr.1.1
Count to ten by ones.
Standard Math 3 yr.1.2
Recognize that numbers have a known sequence (for example, "1, 2, 3, 4, 5. What comes next?").
Standard Math 3 yr.1.3
Begin to recognize the difference between letters and numbers.
Standard Math 3 yr.1.4
Begin to name written numerals 0-5.
Standard Math 3 yr.1.5
Begin to develop an understanding of the relationship between some numbers and quantities by using one-to-one correspondence.
Standard Math 3 yr.1.6
Begin to point to and count up to five objects.
Standard Math 3 yr.1.7
Begin to respond to the question "How many?".
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 3 yr.2.1
Begins in 4-year-old standard.
Standard Math 3 yr.2.2
Begins in 4-year-old standard.
Standard Math 3 yr.2.3
Begins in 4-year-old standard.
Standard Math 3 yr.2.4
Begins in 4-year-old standard.
Standard Math 3 yr.2.5
Identify simple patterns in the environment and begin to duplicate and extend 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 3 yr.3.1
Identify and describe measurable attributes (for example, big, small, tall, short).
Standard Math 3 yr.3.2
Begins in 4-year-old standard.
Standard Math 3 yr.3.3
Sort objects into given categories including color, size, shape, etc.
Standard Math 3 yr.3.4
With prompting and support, 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 3 yr.4.1
Match, point to, and begin to identify basic shapes by name.
Standard Math 3 yr.4.2
Begins in 4-year-old standard.
Standard Math 3 yr.4.3
Begins in 4-year-old standard.
Standard Math 3 yr.4.4
With prompting and support, begin to identify attributes of basic two-dimensional shapes (for example, a rectangle has two long sides and two short sides).
Standard Math 3 yr.4.5
Explore shapes using a variety of media (for example, blocks, stickers, play dough/clay, art supplies).
Standard Math 3 yr.4.6
Explore combining basic shapes together to represent an object (for example, use a square and a triangle to make a house).
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 -
Meghan Everette.
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.