# Preparatory Stage (Classes 3–5): Mathematics

A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 13 concepts ready. In the app: https://ai.page/roadmap/in-ncf-math-preparatory-stage-classes-3-5

Part of: [NCF-SE 2023: Mathematics](https://ai.page/roadmap/in-ncf-math.md)

Goal: National Curriculum Framework for School Education 2023 (NCERT): Mathematics, curricular goals and competencies, Preparatory Stage (Classes 3–5)

## 1. Preparatory Stage (Classes 3–5)

- [Reading and writing numbers (age 9+)](https://ai.page/c/reading-and-writing-numbers-age-9/index.md): Read, write, order, and compare whole numbers up to at least 1,000,000 using base-ten numerals, number names, expanded form, and place-value understanding
- [Fractions of a whole (age 8+)](https://ai.page/c/fractions-of-a-whole-age-8/index.md): Express whole numbers as fractions (e.g. 3 = 3/1) and recognise fractions equivalent to whole numbers (e.g. 4/4 = 1, 6/1 = 6)
- [Fractions of a whole (age 10+)](https://ai.page/c/fractions-of-a-whole-age-10/index.md): Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b); solve word problems involving division of whole numbers leading to fractional or mixed-number answers
- [Adding and subtracting (age 9+)](https://ai.page/c/adding-and-subtracting-age-9/index.md): Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why
- [Adding and subtracting (age 10+)](https://ai.page/c/adding-and-subtracting-age-10/index.md): Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why, with numbers up to 10,000,000 and decimals
- [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
- [2-D shapes (age 7+)](https://ai.page/c/2-d-shapes-age-7/index.md): Draw 2-D shapes and make 3-D shapes using modelling materials; recognise 3-D shapes in different orientations and describe them
- [Measuring length (age 7+)](https://ai.page/c/measuring-length-age-7/index.md): Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, metre sticks, and measuring tapes
- [Converting measurement units (age 9+)](https://ai.page/c/converting-measurement-units-age-9/index.md): Know relative sizes of measurement units within one system (km/m/cm/mm, kg/g, l/ml, hr/min/sec); convert between different metric units and express measurements in terms of a smaller unit; record equivalents in conversion tables
- [Estimating answers (age 9+)](https://ai.page/c/estimating-answers-age-9/index.md): Apply the area formula (l × w) and perimeter formula (2l + 2w) for rectangles including squares in real-world and mathematical problems; calculate and compare areas using standard units (cm², m²) and estimate areas of irregular shapes
- [Measuring length (age 10+)](https://ai.page/c/measuring-length-age-10/index.md): Recognise volume as an attribute of solid figures; understand that a unit cube (side length 1 unit) has 'one cubic unit' of volume and can be used to measure volume; a solid packed with n unit cubes has volume n cubic units
- [Perimeter (age 10+)](https://ai.page/c/perimeter-age-10/index.md): Recognise that shapes with the same area can have different perimeters and vice versa; explore this relationship systematically
- [Choosing mathematical tools](https://ai.page/c/choosing-mathematical-tools/index.md): Select and use appropriate tools and representations strategically: choose between mental, written, and diagrammatic methods; use calculators for checking; select fraction models suited to the task

## Health: 0 of 100

Of its 13 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):

- Reading and writing numbers (age 9+) has no explanation yet
- Fractions of a whole (age 8+) has no explanation yet
- Fractions of a whole (age 10+) has no explanation yet
- Adding and subtracting (age 9+) has no explanation yet
- Adding and subtracting (age 10+) has no explanation yet
- 3-D shapes (age 5+) has no explanation yet
- 2-D shapes (age 7+) has no explanation yet
- Measuring length (age 7+) has no explanation yet
- Converting measurement units (age 9+) has no explanation yet
- Estimating answers (age 9+) has no explanation yet
- Measuring length (age 10+) has no explanation yet
- Perimeter (age 10+) has no explanation yet
- Choosing mathematical tools has no explanation yet

Credit: The structure of National Curriculum Framework for School Education 2023 (NCERT): Mathematics, curricular goals and competencies (https://ncert.nic.in/pdf/NCFSE-2023-August_2023.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.