Mathematical Thinking and Expression – Exploring, Processing, and Problem-Solving
Other Pennsylvania Learning Standards for Early Childhood sets
- Approaches to Learning through Play – Constructing, Organizing, and Applying Knowledge
- Creative Thinking and Expression – Communicating through the Arts
- Health, Wellness, and Physical Development – Learning About My Body
- Language and Literacy Development – English Language Arts
- Scientific Thinking and Technology – Exploring, Scientific Inquiry, and Discovery
- Scientific Thinking and Technology – Exploring, Scientific Inquiry, and Discovery
- Social and Emotional Development – Student Interpersonal Skills
Other Pennsylvania Learning Standards for Early Childhood sets
- Approaches to Learning through Play – Constructing, Organizing, and Applying Knowledge
- Creative Thinking and Expression – Communicating through the Arts
- Health, Wellness, and Physical Development – Learning About My Body
- Language and Literacy Development – English Language Arts
- Scientific Thinking and Technology – Exploring, Scientific Inquiry, and Discovery
- Scientific Thinking and Technology – Exploring, Scientific Inquiry, and Discovery
- Social and Emotional Development – Student Interpersonal Skills
Numbers and Operations2.1
- A
COUNTING AND CARDINALITY
- 1
CARDINALITY
- A.1
Know number names and the count sequence. 2.1 PK.A.1
- 1
Name numerals up to 10 .2.1 PK.A.1.1
- 2
Rote count up to 20 .2.1 PK.A.1.2
- 3
Match a numeral to a set of 0–10 objects .2.1 PK.A.1.3
- 4
Represent a number of objects with a written numeral 0–10 .2.1 PK.A.1.4
- 5
Differentiate numerals from letters .2.1 PK.A.1.5
- 6
Counts on when a specific number is provided .2.1 PK.A.1.6
- 1
- A.1
- 2
COUNTING
- A.2
Count to tell the number of objects. 2.1 PK.A.2
- 1
Subitize (visually quantify) to determine how many: attach a numerical value to a set of objects without counting up to six .2.1 PK.A.2.1
- 2
Use one-to-one correspondence when counting to 10 .2.1 PK.A.2.2
- 3
State the total number of objects counted, demonstrating understanding that the last number named tells the number of objects counted .2.1 PK.A.2.3
- 4
Use counting and numbers as part of play and as a means for determining quantity .2.1 PK.A.2.4
- 1
- A.2
- 3
COMPARING
- A.3
Compare numbers2.1 PK.A.3
- 1
Create sets of objects with same and different amounts .2.1 PK.A.3.1
- 2
Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group up to 10 .2.1 PK.A.3.2
- 3
Compare two numbers between 1 and 5 when presented as written numerals .2.1 PK.A.3.3
- 4
Practice use of mathematical vocabulary to compare numbers of objects2.1 PK.A.3.4
- 1
- A.3
- MP
MATHEMATICAL PROCESSES
- MP
Use mathematical processes when quantifying, comparing, representing, and modeling numbers. 2.1 PK.MP
- 1
Engage in numerical play .2.1 PK.MP.1
- 2
Persist in numerical play (Reference AL.2 PK.C).2.1 PK.MP.2
- 3
When prompted, communicate thinking while engaged in numerical play .2.1 PK.MP.3
- 4
Talk and listen to peers during numerical play .2.1 PK.MP.4
- 5
Use common forms of numerical representation (e .g ., fingers, tally marks, dots) .2.1 PK.MP.5
- 1
- MP
Algebraic Concepts2.2
- A
OPERATIONS AND ALGEBRAIC THINKING
- 1
OPERATIONS AND ALGEBRAIC THINKING
- A.1
Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from. 2.2 PK.A.1
- 1
Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e .g ., claps), acting out situations, verbal explanations, expressions, or equations .2.2 PK.A.1.1
- 2
Explain adding and subtracting sets of objects up to and including six, using basic math vocabulary (e .g ., putting together, adding to, taking away, taking apart, taking from) .2.2 PK.A.1.2
- 3
Join sets of objects .2.2 PK.A.1.3
- 4
Separate sets of objects .2.2 PK.A.1.4
- 5
Add objects to a set and tell a number story about it .2.2 PK.A.1.5
- 1
- A.1
- MP
MATHEMATICAL PROCESSES
- MP
Use mathematical processes when representing relationships. 2.2 PK.MP
- 1
Engage in mathematical play .2.2 PK.MP.1
- 2
Persist in mathematical play (Reference AL.2 PK.C).2.2 PK.MP.2
- 3
Problem-solve during mathematical play (Reference AL.4 PK.C).2.2 PK.MP.3
- 4
When prompted, communicate thinking while engaged in mathematical play .2.2 PK.MP.4
- 5
Talk and listen to peers during mathematical play .2.2 PK.MP.5
- 6
Use common forms of numerical representation (e .g ., fingers, tally marks, dots) .2.2 PK.MP.6
- 1
- MP
Geometry2.3
- A
GEOMETRY
- 1
IDENTIFICATION
- A.1
Identify and describe shapes.2.3 PK.A.1
- 1
Describe objects in the environment using names of shapes .2.3 PK.A.1.1
- 2
Recognize and describe the attributes of geometric figures .2.3 PK.A.1.2
- 3
Describe the relative positions of objects using terms such as above, below, beside, in front of, behind, and next to .2.3 PK.A.1.3
- 4
Identify shapes as two-dimensional (lying in a plane, “flat”) or three- dimensional (solid) .2.3 PK.A.1.4
- 1
- A.1
- 2
APPLICATION
- A.2
Analyze, compare, create, and compose shapes. 2.3 PK.A.2
- 1
Analyze and compare two- and three- dimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts, and other attributes .2.3 PK.A.2.1
- 2
Model shapes in the world by building shapes from components and drawing shapes .2.3 PK.A.2.2
- 3
Use geoboards to create shapes with rubber bands .2.3 PK.A.2.3
- 4
Use simple shapes to compose larger shapes .2.3 PK.A.2.4
- 1
- A.2
- MP
MATHEMATICAL PROCESSES
- MP
Use mathematical processes when drawing, constructing, modeling, and representing shapes. 2.3 PK.MP
- 1
Engage in geometric play .2.3 PK.MP.1
- 2
Persist in geometric play (Reference AL.2 PK.C).2.3 PK.MP.2
- 3
Problem-solve during geometric play (Reference AL.4 PK.C).2.3 PK.MP.3
- 4
When prompted, communicate thinking while engaged in geometric play .2.3 PK.MP.4
- 5
Talk and listen to peers during geometric play2.3 PK.MP.5
- 1
- MP
Measurement, Data, and Probability 2.4
- A
MEASUREMENT AND DATA
- 1
MEASUREMENT
- A.1
Describe and compare measurable attributes of length and weights of everyday objects. 2.4 PK.A.1
- 1
Recognize attributes of objects that can be measured .2.4 PK.A.1.1
- 2
Measure objects using non-standard items (e .g ., hands, shoes, yarn, blocks) .2.4 PK.A.1.2
- 3
Practice use of standard measurement tools .2.4 PK.A.1.3
- 4
Practice using measurement vocabulary .2.4 PK.A.1.4
- 5
Sort and order by one attribute .2.4 PK.A.1.5
- 6
Use ordinal number words to describe the position of objects (first, second, last) .2.4 PK.A.1.6
- 7
Compare two objects with a measureable attribute in common to see which object has “more of”/“less of” the attribute and describe the difference .2.4 PK.A.1.7
- 1
- A.1
- 4
DATA
- A.4
Classify objects and count the number of objects in each category. 2.4 PK.A.4
- 1
Classify up to 10 objects using one attribute into categories .2.4 PK.A.4.1
- 2
Display the number of objects in each category .2.4 PK.A.4.2
- 3
Count and compare the quantities of each category to describe which category has “more of”/“less of” the attribute .2.4 PK.A.4.3
- 1
- A.4
- MP
MATHEMATICAL PROCESSES
- MP
Use mathematical processes when measuring; representing, organizing, and understanding data. 2.4 PK.MP
- 1
Engage in activities that include measuring, representing, organizing, and understanding data .2.4 PK.MP.1
- 2
Persist in activities that include measuring, representing, organizing, and understanding data (Reference AL.2 PK.C).2.4 PK.MP.2
- 3
Problem-solve in activities that include measuring, representing, organizing, and understanding data (Reference AL.4 PK.C).2.4 PK.MP.3
- 4
When prompted, communicate thinking while engaged in activities that include measuring, representing, organizing, and understanding data .2.4 PK.MP.4
- 5
Talk and listen to peers during activities that include measuring, representing, organizing, and understanding data .2.4 PK.MP.5
- 1
- MP
Frequently asked questions
- What grade levels do these standards cover?
- PRE-K
- Where can I read the official document?
- Pennsylvania Learning Standards for Early Childhood PRE-KINDERGARTEN
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More Pennsylvania Learning Standards for Early Childhood sets
Learning Standards for Early Childhood- Approaches to Learning through Play – Constructing, Organizing, and Applying Knowledge
- Creative Thinking and Expression – Communicating through the Arts
- Health, Wellness, and Physical Development – Learning About My Body
- Language and Literacy Development – English Language Arts
- Scientific Thinking and Technology – Exploring, Scientific Inquiry, and Discovery
- Scientific Thinking and Technology – Exploring, Scientific Inquiry, and Discovery
- Social and Emotional Development – Student Interpersonal Skills
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