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How to learn Kindergarten: Mathematics

Department of Defense Education Activity standards: Mathematics, Kindergarten

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1. Mathematics

  1. Combining Simple Shapes: Compose simple shapes to form larger shapes (e.g. two triangles make a rectangle)
  2. 3-D shapes (age 5+): Analyse and compare 2-D and 3-D shapes using informal language to describe sides, vertices, and other attributes
  3. Building & Drawing Shapes: Model shapes by building from components (e.g. sticks and clay balls) and by drawing
  4. Flat vs Solid Shapes: Distinguish two-dimensional (flat) shapes from three-dimensional (solid) shapes
  5. Positional Language: Describe the position of objects using terms such as above, below, beside, in front of, behind, next to
  6. How Many in Total?: Cardinality principle: the last number said when counting a set tells how many objects are in the set, regardless of arrangement or order counted
  7. Counting objects to 20: Count a set of objects to answer 'how many?' for sets up to 20 (arranged in lines, arrays, circles, or scattered)
  8. Sorting into categories: Classify objects into given categories, count the number in each category, and sort the categories by count
  9. Measurable Attributes of Objects: Describe and identify measurable attributes of objects such as length, height, weight, and capacity; use comparative language (longer, shorter, heavier, lighter, more, less)
  10. Comparing Lengths & Heights: Compare two objects directly by length or height and describe the difference using language such as long, short, tall, longer, shorter, taller, double, half
  11. Numbers up to 10 into pairs: Decompose numbers up to 10 into pairs in more than one way (part-part-whole)
  12. Fluent adding and subtracting within 5: Fluently add and subtract within 5
  13. Number bonds to 9: Find the number that makes 10 when added to a given number from 1 to 9 (number bonds to 10)
  14. Representing Addition and Subtraction: Represent addition and subtraction using objects, drawings, and mental images
  15. Addition and subtraction word problems: Solve addition and subtraction word problems within 10 using objects or drawings
  16. Two written numerals between 1 and 10: Compare two written numerals between 1 and 10 to determine which is greater or less
  17. Comparing groups: more or fewer: Compare two groups of objects to determine which has more, fewer, or whether they are equal, using matching and counting strategies
  18. Reading and writing numbers to 20: Read and write numerals from 0 to 20
  19. Rote counting to 100: Rote count forwards and backwards from 0 to 100, beginning from 0, 1, or any given number, by ones