# Kindergarten: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 30 concepts ready. In the app: https://ai.page/roadmap/ccss-math-kindergarten Part of: [Common Core: Maths](https://ai.page/roadmap/ccss-math.md) Goal: Common Core State Standards for Mathematics, Kindergarten ## 1. Counting and Cardinality · Know number names and the count sequence. - [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) - [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 ## 2. Counting and Cardinality · Count to tell the number of objects. - [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 - [One More Each Time](https://ai.page/c/one-more-each-time/index.md): Each successive counting number represents a quantity that is one larger than the previous number - [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) ## 3. Counting and Cardinality · Compare numbers. - [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 - [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 ## 4. Geometry · Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres). - [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) - [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-D shapes](https://ai.page/c/2-d-shapes/index.md): Recognise and name common 2-D shapes (circles, triangles, rectangles including squares) - [Flat vs Solid Shapes](https://ai.page/c/flat-vs-solid-shapes/index.md): Distinguish two-dimensional (flat) shapes from three-dimensional (solid) shapes ## 5. Geometry · Analyze, compare, create, and compose shapes. - [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 - [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) ## 6. Measurement and Data · Describe and compare measurable attributes. - [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) - [Comparing Capacity](https://ai.page/c/comparing-capacity/index.md): Compare and describe capacity and volume using language such as full, empty, more than, less than, half full - [Comparing Lengths & Heights](https://ai.page/c/comparing-lengths-and-heights/index.md): Compare two objects directly by length or height and describe the difference using language such as long, short, tall, longer, shorter, taller, double, half - [Measuring mass and weight (age 4+)](https://ai.page/c/measuring-mass-and-weight-age-4/index.md): Compare two objects directly by mass or weight and describe the difference using language such as heavy, light, heavier than, lighter than ## 7. Measurement and Data · Classify objects and count the number of objects in each category. - [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 ## 8. Number and Operations in Base Ten · Work with numbers 11–19 to gain foundations for place value. - [The teen numbers](https://ai.page/c/the-teen-numbers/index.md): Understand that the teen numbers (11–19) are composed of ten ones and some further ones (early place value) ## 9. Operations and Algebraic Thinking · Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from. - [Addition as combining or putting together two](https://ai.page/c/addition-as-combining-or-putting-together-two/index.md): Understand addition as combining or putting together two groups to find the total - [Subtraction as taking away or separating](https://ai.page/c/subtraction-as-taking-away-or-separating/index.md): Understand subtraction as taking away or separating from a group to find how many remain - [Representing Addition and Subtraction](https://ai.page/c/representing-addition-and-subtraction/index.md): Represent addition and subtraction using objects, drawings, and mental images - [Reading +, −, and = symbols](https://ai.page/c/reading-and-symbols/index.md): Read, write, and interpret the symbols +, −, and = in number sentences - [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 - [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) - [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) - [Fluent adding and subtracting within 5](https://ai.page/c/fluent-adding-and-subtracting-within-5/index.md): Fluently add and subtract within 5 ## Health: 0 of 100 Of its 30 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): - Rote counting to 100 comes before One-to-one counting, which it needs - Rote counting to 100 has no explanation yet - Counting in 2s has no explanation yet - Reading and writing numbers to 20 comes before How Many in Total?, which it needs - Reading and writing numbers to 20 has no explanation yet - One-to-one counting has no explanation yet - How Many in Total? has no explanation yet - One More Each Time has no explanation yet - Counting objects to 20 has no explanation yet - Comparing groups: more or fewer has no explanation yet - Two written numerals between 1 and 10 has no explanation yet - 3-D shapes has no explanation yet - Positional Language has no explanation yet - 2-D shapes has no explanation yet - Flat vs Solid Shapes has no explanation yet - 3-D shapes (age 5+) has no explanation yet - Building & Drawing Shapes has no explanation yet - Combining Simple Shapes has no explanation yet - Measurable Attributes of Objects has no explanation yet - Comparing Capacity has no explanation yet - Comparing Lengths & Heights has no explanation yet - Measuring mass and weight (age 4+) has no explanation yet - Sorting into categories has no explanation yet - The teen numbers has no explanation yet - Addition as combining or putting together two has no explanation yet - Subtraction as taking away or separating has no explanation yet - Representing Addition and Subtraction has no explanation yet - Reading +, −, and = symbols has no explanation yet - Addition and subtraction word problems has no explanation yet - Numbers up to 10 into pairs has no explanation yet - Number bonds to 9 has no explanation yet - Fluent adding and subtracting within 5 has no explanation yet Credit: The structure of Common Core State Standards for Mathematics; 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.