How to learn Kindergarten: Mathematics
Department of Defense Education Activity standards: Mathematics, Kindergarten
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1. Mathematics
- Combining Simple Shapes: Compose simple shapes to form larger shapes (e.g. two triangles make a rectangle)
- 3-D shapes (age 5+): Analyse and compare 2-D and 3-D shapes using informal language to describe sides, vertices, and other attributes
- Building & Drawing Shapes: Model shapes by building from components (e.g. sticks and clay balls) and by drawing
- Flat vs Solid Shapes: Distinguish two-dimensional (flat) shapes from three-dimensional (solid) shapes
- Positional Language: Describe the position of objects using terms such as above, below, beside, in front of, behind, next to
- 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
- 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)
- Sorting into categories: Classify objects into given categories, count the number in each category, and sort the categories by count
- 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)
- 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
- Numbers up to 10 into pairs: Decompose numbers up to 10 into pairs in more than one way (part-part-whole)
- Fluent adding and subtracting within 5: Fluently add and subtract within 5
- Number bonds to 9: Find the number that makes 10 when added to a given number from 1 to 9 (number bonds to 10)
- Representing Addition and Subtraction: Represent addition and subtraction using objects, drawings, and mental images
- Addition and subtraction word problems: Solve addition and subtraction word problems within 10 using objects or drawings
- Two written numerals between 1 and 10: Compare two written numerals between 1 and 10 to determine which is greater or less
- 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
- Reading and writing numbers to 20: Read and write numerals from 0 to 20
- Rote counting to 100: Rote count forwards and backwards from 0 to 100, beginning from 0, 1, or any given number, by ones