IXL - Pennsylvania pre-K math standards

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Skills available for Pennsylvania pre-K math standards

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2009 Pennsylvania Early Childhood Education Standards 2009 Pennsylvania Early Childhood Education Standards

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PK.2.1 Numbers, Number Systems and Number Relationships

PK.2.1.BI Mathematic knowledge is built through active manipulation in the areas of numbers and operations by organizing, representing and comparing numbers.
PK.2.1.EQ Why do I need to be able to count objects? How do I use numbers every day? How can I record what I count?
PK.2.1.1 Count and Compare Numbers
PK.2.1.1.a Use counting and numbers as part of play and as a means for determining quantity
- Count to 3: Count dots (up to 3) (Pre-K - B.1)
- Count to 3: Count shapes (up to 3) (Pre-K - B.2)
- Count to 3: Count objects (up to 3) (Pre-K - B.3)
- Count to 3: Represent numbers (up to 3) (Pre-K - B.4)
- Count to 5: Count dots (up to 5) (Pre-K - C.1)
- Count to 5: Count shapes (up to 5) (Pre-K - C.2)
- Count to 5: Count objects (up to 5) (Pre-K - C.3)
- Count to 5: Represent numbers (up to 5) (Pre-K - C.4)
- Count to 10: Count dots (up to 10) (Pre-K - D.1)
- Count to 10: Count shapes (up to 10) (Pre-K - D.2)
- Count to 10: Count objects (up to 10) (Pre-K - D.3)
- Count to 10: Represent numbers (up to 10) (Pre-K - D.4)
- Count to 20: Count dots (up to 20) (Pre-K - E.1)
- Count to 20: Count shapes (up to 20) (Pre-K - E.2)
- Count to 20: Count objects (up to 20) (Pre-K - E.3)
- Count to 20: Represent numbers (up to 20) (Pre-K - E.4)
PK.2.1.1.b Rote count to 20
- Numbers and counting up to 3: Count by typing - up to 3 (Kindergarten - A.3)
- Numbers and counting up to 5: Count by typing - up to 5 (Kindergarten - B.3)
- Numbers and counting up to 10: Count by typing - up to 10 (Kindergarten - C.3)
- Numbers and counting up to 10: Count up and down - with numbers (Kindergarten - C.5)
- Numbers and counting up to 20: Count by typing - up to 20 (Kindergarten - D.3)
- Numbers and counting up to 20: Count up and down (Kindergarten - D.4)
PK.2.1.1.c Count up to 10 objects using one to one correspondence
- Count to 3: Count dots (up to 3) (Pre-K - B.1)
- Count to 3: Count shapes (up to 3) (Pre-K - B.2)
- Count to 3: Count objects (up to 3) (Pre-K - B.3)
- Count to 3: Represent numbers (up to 3) (Pre-K - B.4)
- Count to 5: Count dots (up to 5) (Pre-K - C.1)
- Count to 5: Count shapes (up to 5) (Pre-K - C.2)
- Count to 5: Count objects (up to 5) (Pre-K - C.3)
- Count to 5: Represent numbers (up to 5) (Pre-K - C.4)
- Count to 10: Count dots (up to 10) (Pre-K - D.1)
- Count to 10: Count shapes (up to 10) (Pre-K - D.2)
- Count to 10: Count objects (up to 10) (Pre-K - D.3)
- Count to 10: Represent numbers (up to 10) (Pre-K - D.4)
PK.2.1.1.d Name numerals to 10
- Numbers and counting up to 10: Names of numbers - up to 10 (Kindergarten - C.10)
PK.2.1.1.e Use vocabulary to compare numbers of objects with teacher support
- Comparing: Compare groups (fewer or more) (Pre-K - F.1)
- Comparing: Compare in a chart (fewer or more) (Pre-K - F.2)
- Comparing: Compare in a mixed group (Pre-K - F.3)
PK.2.1.2 Represent Numbers in Equivalent Forms
PK.2.1.2.a Understand number concepts, vocabulary, quantities and written numerals in meaningful ways
- Count to 3: Represent numbers (up to 3) (Pre-K - B.4)
- Count to 5: Represent numbers (up to 5) (Pre-K - C.4)
- Numbers and counting up to 10: Tally marks - up to 10 (Kindergarten - C.6)
- Numbers and counting up to 10: Names of numbers - up to 10 (Kindergarten - C.10)
- Numbers and counting up to 20: Tally marks - up to 20 (Kindergarten - D.5)
- Numbers and counting up to 20: Names of numbers - up to 20 (Kindergarten - D.9)
PK.2.1.2.b Differentiate numerals from letters
- Numbers and counting up to 10: Names of numbers - up to 10 (Kindergarten - C.10)
- Numbers and counting up to 20: Names of numbers - up to 20 (Kindergarten - D.9)
PK.2.1.3 Concepts of Numbers and Relationships
PK.2.1.3.a Practice combining, separating and naming quantities
- Count to 3: Represent numbers (up to 3) (Pre-K - B.4)
- Count to 5: Represent numbers (up to 5) (Pre-K - C.4)
- Adding: Addition with pictures - sums up to 5 (Kindergarten - I.1)
- Adding: Addition with pictures - sums up to 10 (Kindergarten - I.4)
- Subtracting: Subtract with pictures - numbers up to 5 (Kindergarten - J.1)
- Subtracting: Subtract with pictures - numbers up to 10 (Kindergarten - J.4)
PK.2.1.3.b Match a numeral to a set 0 to 5
- Count to 3: Represent numbers (up to 3) (Pre-K - B.4)
- Count to 5: Represent numbers (up to 5) (Pre-K - C.4)
PK.2.1.3.c Use ordinal number words to describe the position of objects (first, second, last)
- Counting and number patterns: Ordinal numbers (First grade - A.16)
PK.2.1.6 Concepts and Applications of Operations
PK.2.1.6.a Solve oral word problems using concrete objects with assistance
- Addition: Addition word problems - sums to 10 (First grade - B.3)
- Addition: Word problems - write the addition sentence (First grade - B.4)
- Subtraction: Subtraction word problems - one-digit numbers (First grade - D.3)
- Subtraction: Word problems - write the subtraction sentence (First grade - D.4)
PK.2.1.6.b Visually quantify one to three objects
- Count to 3: Represent numbers (up to 3) (Pre-K - B.4)
PK.2.1.6.c Sort objects by two or more attributes
- Classify: Same (Pre-K - H.1)
- Classify: Different (Pre-K - H.2)
- Classify: Same and different (Pre-K - H.3)
- Classify: Classify by color (Pre-K - H.4)
- Sorting, ordering, and classifying: Venn diagrams (Kindergarten - N.5)
PK.2.1.6.d Identify properties of numbers
- Counting and number patterns: Identifying even and odd numbers (First grade - A.12)
PK.2.1.6.e Apply strategies of "counting on"
- Numbers and counting up to 5: Count up (Kindergarten - B.4)
- Numbers and counting up to 10: Count up and down - with pictures (Kindergarten - C.4)
- Numbers and counting up to 10: Count up and down - with numbers (Kindergarten - C.5)
- Numbers and counting up to 10: Count forward and backward - up to 10 (Kindergarten - C.9)
- Numbers and counting up to 20: Count up and down (Kindergarten - D.4)
- Numbers and counting up to 20: Before, after, and between - up to 20 (Kindergarten - D.7)
- Numbers and counting up to 20: Count forward and backward - up to 20 (Kindergarten - D.8)

PK.2.2 Computation and Estimation

PK.2.2.BI Students link concepts and procedures as they develop and use computational techniques, including estimation and mental arithmetic, to seek reasonable answers.
PK.2.2.EQ How do I estimate? How do I build knowledge through problem solving?
PK.2.2.1 Fluency in Basic Facts
PK.2.2.1.a Observe adult reading number sentences created with manipulatives
PK.2.2.2 Computation
PK.2.2.2.a Solve problems using manipulatives to correspond to given number 1 to 6
- Adding: Addition sentences - sums up to 5 (Kindergarten - I.3)
- Subtracting: Subtraction sentences - numbers up to 5 (Kindergarten - J.3)
PK.2.2.4 Numerical Estimation
PK.2.2.4.a Make estimates of a set of objects up to 6
PK.2.2.4.b Practice checking estimates

PK.2.3 Measurement and Estimation

PK.2.3.BI Learners will identify attributes, units or systems of measurement and apply a variety of tools to explore the distance, weight, length, height, time and temperature of objects.
PK.2.3.EQ What do I understand about the measurement? How can I group objects according to common properties? What can I discover about quantities of objects?
PK.2.3.1 Concepts of Measurement
PK.2.3.1.a Practice measuring by attributes
PK.2.3.1.b Engage in number conservation experiences
PK.2.3.2 Units and Tools of Measurement
PK.2.3.2.a Practice using standard and nonstandard measures in everyday situations
PK.2.3.4 Conversions
PK.2.3.4.a Group objects according to common properties
PK.2.3.4.b Develop an awareness of seriation through comparison of attributes
PK.2.3.6 Measurement and Estimation
PK.2.3.6.a Practice using measurement vocabulary with adult support
PK.2.3.6.b Practice estimating distance with adult assistance

PK.2.4 Mathematical Reasoning and Connections

PK.2.4.BI Learners use inductive and deductive reasoning to make, check and verify predictions and to develop connections.
PK.2.4.EQ Why do I think my estimation is appropriate? How do I decide what connections there are between objects?
PK.2.4.1 Reasoning
PK.2.4.1.a Predict and verify use of environmental objects

PK.2.5 Mathematical Problem Solving and Communication

PK.2.5.BI Learners solve and interpret results in various ways.
PK.2.5.EQ How do I apply a variety of concepts, processes and skills to solve problems? How do I present mathematical ideas using words, symbols visual display or technology?
PK.2.5.1 Problem Solving
PK.2.5.1.a Use both familiar and new strategies for solving problems
PK.2.5.1.b Recognize objects, places and ideas by symbols
PK.2.5.2 Communication
PK.2.5.2.a Communicate the findings from the problem solving process using math vocabulary
PK.2.5.2.b Use pictures to replicate a process

PK.2.6 Statistics and Data Analysis

PK.2.6.BI Learners collect, represent and analyze data to answer questions, solve problems and make predictions.
PK.2.6.EQ How do I collect data? How do I explore and display data? How do I talk about data? What patterns can I create and describe?
PK.2.6.1 Collection of Data
PK.2.6.1.a Use environmental objects for data collection purposes
PK.2.6.1.b Create graphs cooperatively with an adult and /or other child
- Data and graphs: Making graphs (Kindergarten - O.1)
PK.2.6.2 Organization and Display of Data
PK.2.6.2.a Organize and display objects by one attribute
- Data and graphs: Making graphs (Kindergarten - O.1)
PK.2.6.3 Numerical Summaries
PK.2.6.3.a Compare groups of one to five objects
PK.2.6.5 Interpretation of Data
PK.2.6.5.a Draw conclusions with adult guidance and questioning
- Data and graphs: Interpret data in tally charts, picture graphs, tables (First grade - L.2)
- Data and graphs: Interpret bar graphs (First grade - L.3)

PK.2.7 Probability and Predictions

PK.2.7.BI Learners develop and evaluate predictions that are based on knowledge and data.
PK.2.7.EQ What words can I use to describe what is on the graph? How do I predict what will come next? What predictions can I make? How accurate will my predications be?
PK.2.7.1 Calculate Probabilities
PK.2.7.1.a Predict the probability of an event occurring based on observation and prior knowledge with scaffolding
- Probability: More or less likely (Kindergarten - P.1)
PK.2.7.3 Representations of Probabilities
PK.2.7.3.a Complete a simple yes/no graph to make a selection with assistance

PK.2.8 Algebra and Functions

PK.2.8.BI Learners discover how objects are related to each other using models, patterns and functions involving numbers, shapes and graphs in problem solving situations.
PK.2.8.EQ How do I respond to routines? How do I use manipulatives to show relationships? What patterns can I create and describe?
PK.2.8.1 Algebraic Properties
PK.2.8.1.a Compare quantities of concrete objects
PK.2.8.2 Algebraic Manipulations
PK.2.8.2.a Practice and count using numbers as a means of determining quantity
PK.2.8.2.b Practice using concrete objects to portray simple stories
PK.2.8.3 Patterns
PK.2.8.3.a Identify and describe patterns
- Patterns: Similar patterns (Kindergarten - H.1)
PK.2.8.3.b Recognize and extend simple patterns
- Patterns: Complete missing parts of patterns (Kindergarten - H.2)
- Patterns: Growing patterns (Kindergarten - H.3)

PK.2.9 Geometry

PK.2.9.BI Children identify, name and describe a variety of shapes in many ways.
PK.2.9.EQ What makes shapes different from each other? What shapes can we see in our environment? How do shapes fit together and come apart? What attributes do shapes possess? How can shapes be sorted?
PK.2.9.1 Definitions, Properties and Relations
PK.2.9.1.a Identify and name simple three-dimensional shapes
- Shapes: Identify squares and rectangles (Pre-K - A.2)
- Shapes: Identify cubes and pyramids (Pre-K - A.3)
PK.2.9.1.b Replicate simple three-dimensional shapes
PK.2.9.1.c Determine the attributes of basic shapes
PK.2.9.2 Transformations and Symmetry
PK.2.9.2.a Observe symmetry
- Geometry: Symmetry I (Kindergarten - S.8)
PK.2.9.2.b Create a symmetrical design from a model
- Geometry: Symmetry II (Kindergarten - S.9)
PK.2.9.3 Coordinate Geometry
PK.2.9.3.a Practice using directionality and appropriate vocabulary with assistance
PK.2.9.3.b Demonstrate an understanding of directionality, order and positions of objects