# Kindergarten: Mathematics

A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 22 concepts ready. In the app: https://ai.page/roadmap/nc-kindergarten

Part of: [North Carolina: Mathematics](https://ai.page/roadmap/nc.md)

Goal: North Carolina academic standards: Mathematics, Kindergarten

## 1. Geometry

- [2-D shapes](https://ai.page/c/2-d-shapes/index.md): Recognise and name common 2-D shapes (circles, triangles, rectangles including squares)
- [Combining Simple Shapes](https://ai.page/c/combining-simple-shapes/index.md): Compose simple shapes to form larger shapes (e.g. two triangles make a rectangle)
- [3-D shapes](https://ai.page/c/3-d-shapes/index.md): Recognise and name common 3-D shapes (cubes, cuboids, pyramids, spheres, cylinders, cones)
- [3-D shapes (age 5+)](https://ai.page/c/3-d-shapes-age-5/index.md): Analyse and compare 2-D and 3-D shapes using informal language to describe sides, vertices, and other attributes
- [Building & Drawing Shapes](https://ai.page/c/building-and-drawing-shapes/index.md): Model shapes by building from components (e.g. sticks and clay balls) and by drawing
- [Positional Language](https://ai.page/c/positional-language/index.md): Describe the position of objects using terms such as above, below, beside, in front of, behind, next to

## 2. Measurement and Data

- [Sorting into categories](https://ai.page/c/sorting-into-categories/index.md): Classify objects into given categories, count the number in each category, and sort the categories by count
- [Measurable Attributes of Objects](https://ai.page/c/measurable-attributes-of-objects/index.md): Describe and identify measurable attributes of objects such as length, height, weight, and capacity; use comparative language (longer, shorter, heavier, lighter, more, less)

## 3. Number and Operations in Base Ten

- [Numbers up to 10 into pairs](https://ai.page/c/numbers-up-to-10-into-pairs/index.md): Decompose numbers up to 10 into pairs in more than one way (part-part-whole)

## 4. Operations and Algebraic Thinking

- [Fluent adding and subtracting within 5](https://ai.page/c/fluent-adding-and-subtracting-within-5/index.md): Fluently add and subtract within 5
- [Number bonds to 9](https://ai.page/c/number-bonds-to-9/index.md): Find the number that makes 10 when added to a given number from 1 to 9 (number bonds to 10)
- [Representing Addition and Subtraction](https://ai.page/c/representing-addition-and-subtraction/index.md): Represent addition and subtraction using objects, drawings, and mental images
- [Addition and subtraction word problems](https://ai.page/c/addition-and-subtraction-word-problems/index.md): Solve addition and subtraction word problems within 10 using objects or drawings

## 5. Counting and Cardinality

- [Two written numerals between 1 and 10](https://ai.page/c/two-written-numerals-between-1-and-10/index.md): Compare two written numerals between 1 and 10 to determine which is greater or less
- [Comparing groups: more or fewer](https://ai.page/c/comparing-groups-more-or-fewer/index.md): Compare two groups of objects to determine which has more, fewer, or whether they are equal, using matching and counting strategies
- [One-to-one counting](https://ai.page/c/one-to-one-counting/index.md): One-to-one correspondence when counting objects: each object is paired with exactly one number name
- [How Many in Total?](https://ai.page/c/how-many-in-total/index.md): 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](https://ai.page/c/counting-objects-to-20/index.md): Count a set of objects to answer 'how many?' for sets up to 20 (arranged in lines, arrays, circles, or scattered)
- [Reading and writing numbers to 20](https://ai.page/c/reading-and-writing-numbers-to-20/index.md): Read and write numerals from 0 to 20
- [Rote counting to 100](https://ai.page/c/rote-counting-to-100/index.md): Rote count forwards and backwards from 0 to 100, beginning from 0, 1, or any given number, by ones
- [Counting in 2s](https://ai.page/c/counting-in-2s/index.md): Count in multiples of 2, 5, and 10 (skip counting)
- [Counting forwards and backwards](https://ai.page/c/counting-forwards-and-backwards/index.md): Count forwards and backwards in steps of 3 from 0

## Health: 0 of 100

Of its 22 own concepts: 0 have an explanation, 0 have practice, 0 have a measurement question, 0 have a checked version.

Findings (each is a task for anyone's AI):

- 2-D shapes has no explanation yet
- Combining Simple Shapes has no explanation yet
- 3-D shapes has no explanation yet
- 3-D shapes (age 5+) has no explanation yet
- Building & Drawing Shapes has no explanation yet
- Positional Language has no explanation yet
- Sorting into categories comes before Counting objects to 20, which it needs
- Sorting into categories has no explanation yet
- Measurable Attributes of Objects has no explanation yet
- Numbers up to 10 into pairs has no explanation yet
- Fluent adding and subtracting within 5 has no explanation yet
- Number bonds to 9 has no explanation yet
- Representing Addition and Subtraction has no explanation yet
- Addition and subtraction word problems has no explanation yet
- Two written numerals between 1 and 10 has no explanation yet
- Comparing groups: more or fewer has no explanation yet
- One-to-one counting has no explanation yet
- How Many in Total? has no explanation yet
- Counting objects to 20 has no explanation yet
- Reading and writing numbers to 20 has no explanation yet
- Rote counting to 100 has no explanation yet
- Counting in 2s has no explanation yet
- Counting forwards and backwards has no explanation yet

Credit: The structure of North Carolina academic standards: Mathematics (http://www.ncpublicschools.org/docs/curriculum/mathematics/scos/0617-adopted-k-8-standards.pdf); concepts from the Marble Skill Taxonomy (v1), © Generative Spark, Inc. (withmarble.com), text CC BY-SA 4.0, database ODbL 1.0: https://github.com/withmarbleapp/os-taxonomy, mapped to its standards by Marble.
