Overview Pre-Kindergarten (Massachusetts)
Counting and Cardinality
- Know number names and the counting sequence.
- Count to tell the number of objects.
- Compare numbers.
Operations and Algebraic Thinking
- Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.
Measurement and Data
- Describe and compare measurable attributes.
- Classify objects and count the number of objects in each category.
- Work with money.
Geometry
- Identify and describe shapes (squares, circles, triangles, rectangles).
- Analyze, compare, create, and compose shapes.
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Standards For Mathematical Practice
- Make sense of problems and persevere in solving them.
- Reason abstractly and quantitatively.
- Construct viable arguments and critique the reasoning of others.
- Model with mathematics.
- Use appropriate tools strategically.
- Attend to precision.
- Look for and make use of structure.
- Look for and express regularity in repeated reasoning.
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Pre-K Content Standards
- Counting and Cardinality PK.CC
Know number names and the counting sequence.
- MA.1. Listen to and say the names of numbers in meaningful contexts.
- MA.2. Recognize and name written numerals 0-10.
Count to tell the number of objects.
- MA.3. Understand the relationships between numerals and quantities up to ten.
Compare numbers.
- MA.4. Count many kinds of concrete objects and actions up to ten, using one-to-one correspondence, and accurately count as many as seven things in a scattered configuration.
- MA.5. Use comparative language, such as more/less than, equal to, to compare and describe collections of objects.
- Operations and Algebraic Thinking PK.OA
Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.
- MA.1. Use concrete objects to model real-world addition (putting together) and subtraction (taking away) problems up through five.
- Measurement and Data PK.MD
Describe and compare measurable attributes.
- MA.1. Recognize the attributes of length, area, weight, and capacity of everyday objects using appropriate vocabulary (e.g., long, short, tall, heavy, light, big, small, wide, narrow).
- MA.2. Compare the attributes of length and weight for two objects, including longer/shorter, same length; heavier/lighter, same weight; holds more/less, holds the same amount.
Classify objects and count the number of objects in each category.
- MA.3. Sort, categorize, and classify objects by more than one attribute.
Work with money.
- MA.4. Recognize that certain objects are coins and that dollars and coins represent money.
- Geometry PK.G
Identify and describe shapes (squares, circles, triangles, rectangles).
- MA.1. Identify relative positions of objects in space, and use appropriate language (e.g., beside, inside, next to, close to, above, below, apart).
- MA.2. Identify various two-dimensional shapes using appropriate language.
Analyze, compare, create, and compose shapes.
- MA.3. Create and represent three-dimensional shapes (ball/sphere, square box/cube, tube/cylinder) using various manipulative materials (such as popsicle sticks, blocks, pipe cleaners, pattern blocks).
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