# Class 1: Mathematics

A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 34 concepts ready. In the app: https://ai.page/roadmap/in-ncert-class-1

Part of: [NCERT: Mathematics](https://ai.page/roadmap/in-ncert.md)

Goal: NCERT syllabus (National Council of Educational Research and Training): Mathematics, Class 1

## 1. Geometry · SHAPES & SPATIAL UNDERSTANDING

- [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. Geometry · SOLIDS AROUND US

- [Composing Shapes](https://ai.page/c/composing-shapes/index.md): Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, quarter-circles) to create composite shapes, and compose new shapes from the composite shape
- [Sorting 2-D and 3-D shapes](https://ai.page/c/sorting-2-d-and-3-d-shapes/index.md): Compare and sort common 2-D and 3-D shapes and everyday objects by their properties
- [Understanding angles](https://ai.page/c/understanding-angles/index.md): Recognise angles as a property of shape or a description of a turn
- [Parallel and perpendicular lines](https://ai.page/c/parallel-and-perpendicular-lines/index.md): Identify horizontal and vertical lines and pairs of perpendicular and parallel lines

## 3. Numbers · DEVELOPING A SENSE OF NUMBERNESS, COUNTING AND OPERATIONS OF NUMBERS 1 - 9 AND ZERO

- [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
- [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)

## 4. Numbers

- [Reading and writing numbers to 100](https://ai.page/c/reading-and-writing-numbers-to-100/index.md): Read and write numerals from 0 to 100
- [Reading and writing numbers to 120](https://ai.page/c/reading-and-writing-numbers-to-120/index.md): Count to 120 starting at any number less than 120; read and write numerals to 120
- [Counting forwards and backwards](https://ai.page/c/counting-forwards-and-backwards/index.md): Count forwards and backwards in steps of 3 from 0
- [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 strategies](https://ai.page/c/addition-and-subtraction-strategies/index.md): Use counting on and counting back as strategies for addition and subtraction

## 5. Numbers · NUMBERS FROM (10 - 20)

- [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
- [Number Words to Twenty](https://ai.page/c/number-words-to-twenty/index.md): Read and write number words from one to twenty
- [Tenths](https://ai.page/c/tenths/index.md): Count up and down in tenths; recognise that tenths arise from dividing an object into 10 equal parts and from dividing one-digit numbers or quantities by 10
- [Counting in 2s](https://ai.page/c/counting-in-2s/index.md): Count in multiples of 2, 5, and 10 (skip counting)

## 6. Numbers · ADDITION AND SUBTRACTION (UPTO 20)

- [Adding and subtracting](https://ai.page/c/adding-and-subtracting/index.md): Add and subtract one-digit and two-digit numbers to 20, including zero

## 7. Numbers · NUMBERS FROM 21 - 99

- [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)

## 8. MENTAL ARITHMETIC

- [Mental addition and subtraction (age 7+)](https://ai.page/c/mental-addition-and-subtraction-age-7/index.md): Mentally add and subtract a three-digit number and ones

## 9. Money

- [Coin Values](https://ai.page/c/coin-values/index.md): Recognise and know the value of different coins and notes
- [Mental and written addition and subtraction](https://ai.page/c/mental-and-written-addition-and-subtraction/index.md): Solve addition and subtraction problems using mental and written methods, including problems involving numbers, quantities, and measures

## 10. Measurement · LENGTH

- [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 length](https://ai.page/c/measuring-length/index.md): Order three objects by length and compare the lengths of two objects indirectly using a third object
- [Comparing lengths by measuring](https://ai.page/c/comparing-lengths-by-measuring/index.md): Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit
- [Measuring with different units](https://ai.page/c/measuring-with-different-units/index.md): Measure the length of an object using two different length units and describe how the measurements relate to the size of the unit chosen
- [Estimating Lengths](https://ai.page/c/estimating-lengths/index.md): Estimate lengths using units of inches, feet, centimetres, and metres

## 11. Measurement · WEIGHT

- [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

## 12. Measurement · TIME

- [Comparing durations](https://ai.page/c/comparing-durations/index.md): Use comparative language for time: quicker, slower, earlier, later
- [Comparing Time Durations](https://ai.page/c/comparing-time-durations/index.md): Compare durations of events and calculate the time taken by particular events or tasks
- [Ordering Events in Time](https://ai.page/c/ordering-events-in-time/index.md): Sequence events in chronological order using language such as before, after, next, first, today, yesterday, tomorrow, morning, afternoon, evening
- [Sequence intervals of time](https://ai.page/c/sequence-intervals-of-time/index.md): Compare and sequence intervals of time

## 13. Data Handling

- [Measuring & Plotting Lengths](https://ai.page/c/measuring-and-plotting-lengths/index.md): Generate measurement data by measuring lengths to the nearest whole unit and display the data on a line plot

## 14. Patterns

- [Patterns & Sequences](https://ai.page/c/patterns-and-sequences/index.md): Order and arrange combinations of mathematical objects in patterns and sequences

## Health: 0 of 100

Of its 34 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):

- Positional Language has no explanation yet
- Composing Shapes has no explanation yet
- Sorting 2-D and 3-D shapes has no explanation yet
- Understanding angles has no explanation yet
- Parallel and perpendicular lines has no explanation yet
- One-to-one counting has no explanation yet
- Counting objects to 20 has no explanation yet
- Reading and writing numbers to 100 comes before Reading and writing numbers to 20, which it needs
- Reading and writing numbers to 100 has no explanation yet
- Reading and writing numbers to 120 has no explanation yet
- Counting forwards and backwards comes before Counting in 2s, which it needs
- Counting forwards and backwards has no explanation yet
- Representing Addition and Subtraction has no explanation yet
- Reading +, −, and = symbols comes before Reading and writing numbers to 20, which it needs
- Reading +, −, and = symbols has no explanation yet
- Addition and subtraction strategies has no explanation yet
- Reading and writing numbers to 20 has no explanation yet
- Number Words to Twenty has no explanation yet
- Tenths has no explanation yet
- Counting in 2s has no explanation yet
- Adding and subtracting has no explanation yet
- The teen numbers has no explanation yet
- Mental addition and subtraction (age 7+) has no explanation yet
- Coin Values has no explanation yet
- Mental and written addition and subtraction has no explanation yet
- Comparing Lengths & Heights has no explanation yet
- Measuring length has no explanation yet
- Comparing lengths by measuring has no explanation yet
- Measuring with different units has no explanation yet
- Estimating Lengths has no explanation yet
- Measuring mass and weight (age 4+) has no explanation yet
- Comparing durations has no explanation yet
- Comparing Time Durations has no explanation yet
- Ordering Events in Time has no explanation yet
- Sequence intervals of time has no explanation yet
- Measuring & Plotting Lengths has no explanation yet
- Patterns & Sequences has no explanation yet

Credit: The structure of NCERT syllabus (National Council of Educational Research and Training): Mathematics (https://ncert.nic.in/syllabus.php?ln=en); 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.
