# Stage 1: Mathematics

A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 31 concepts ready. In the app: https://ai.page/roadmap/cambridge-stage-1

Part of: [Cambridge: Mathematics](https://ai.page/roadmap/cambridge.md)

Goal: Cambridge Primary, Lower Secondary and IGCSE: Mathematics, Stage 1

## 1. Statistics and Probability · Statistics

- [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
- [Pictograms and tally charts](https://ai.page/c/pictograms-and-tally-charts/index.md): Interpret and construct simple pictograms, tally charts, block diagrams, and simple tables
- [Sorting into categories (age 6+)](https://ai.page/c/sorting-into-categories-age-6/index.md): Interpret categorical data by asking and answering questions about totals, how many in each category, and how many more or less one category has than another

## 2. Geometry and Measure · Position and transformation

- [Position, direction, and movement](https://ai.page/c/position-direction-and-movement/index.md): Use mathematical vocabulary to describe position, direction, and movement, including straight lines and distinguishing rotation as a turn in terms of right angles (quarter, half, three-quarter turns, clockwise and anti-clockwise)

## 3. Geometry and Measure · Geometrical reasoning, shapes and measurements

- [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)
- [Choosing measurement units](https://ai.page/c/choosing-measurement-units/index.md): Choose and use appropriate standard units to measure length (m/cm), mass (kg/g), temperature (°C), and capacity (litres/ml) to the nearest appropriate unit
- [Patterns & Sequences](https://ai.page/c/patterns-and-sequences/index.md): Order and arrange combinations of mathematical objects in patterns and sequences
- [2-D shapes](https://ai.page/c/2-d-shapes/index.md): Recognise and name common 2-D shapes (circles, triangles, rectangles including squares)
- [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
- [Edges, vertices, and faces](https://ai.page/c/edges-vertices-and-faces/index.md): Identify and describe properties of 3-D shapes including the number of edges, vertices, and faces
- [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
- [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

## 4. Geometry and Measure · Time

- [Telling Time: Hours and Half Hours](https://ai.page/c/telling-time-hours-and-half-hours/index.md): Tell the time to the hour and half past the hour, and draw clock hands to show these times
- [Days, Weeks, Months & Years](https://ai.page/c/days-weeks-months-and-years/index.md): Recognise and use language relating to dates, including days of the week, weeks, months, and years
- [Comparing durations](https://ai.page/c/comparing-durations/index.md): Use comparative language for time: quicker, slower, earlier, later

## 5. Number · Fractions, decimals, percentages, ratio and proportion

- [What Is a Half?](https://ai.page/c/what-is-a-half/index.md): Recognise, find, and name a half as one of two equal parts of an object, shape, or quantity
- [Fraction Notation](https://ai.page/c/fraction-notation/index.md): Read, write, and use fraction notation correctly — fraction, numerator, denominator, unit fraction, non-unit fraction, proper fraction, improper fraction, mixed number, equivalent fraction, simplest form — and understand what each term describes, including the roles of the numerator and denominator in expressing parts of a whole
- [Fractions of amounts](https://ai.page/c/fractions-of-amounts/index.md): Recognise, find, name, and write fractions 1/3, 1/4, 2/4, and 3/4 of a length, shape, set of objects, or quantity
- [Understanding fractions](https://ai.page/c/understanding-fractions-maths/index.md): Write simple fractions (e.g. 1/2 of 6 = 3) and recognise the equivalence of 2/4 and 1/2

## 6. Number · Place value, ordering and rounding

- [Comparing and ordering numbers](https://ai.page/c/comparing-and-ordering-numbers/index.md): Compare and order two-digit numbers using the symbols >, =, and <, based on place value understanding
- [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)

## 7. Number · Money

- [Coin Values](https://ai.page/c/coin-values/index.md): Recognise and know the value of different coins and notes

## 8. Number · Integers and powers

- [Counting in 2s](https://ai.page/c/counting-in-2s/index.md): Count in multiples of 2, 5, and 10 (skip counting)
- [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
- [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)
- [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
- [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
- [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

## 9. Number · Counting and Sequence

- [Odd and even numbers](https://ai.page/c/odd-and-even-numbers/index.md): Recognise odd and even numbers
- [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)

## Health: 0 of 100

Of its 31 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):

- Comparing groups: more or fewer has no explanation yet
- Pictograms and tally charts has no explanation yet
- Sorting into categories (age 6+) has no explanation yet
- Position, direction, and movement has no explanation yet
- Measurable Attributes of Objects has no explanation yet
- Choosing measurement units has no explanation yet
- Patterns & Sequences has no explanation yet
- 2-D shapes has no explanation yet
- 3-D shapes (age 5+) has no explanation yet
- Edges, vertices, and faces has no explanation yet
- Sorting 2-D and 3-D shapes has no explanation yet
- Comparing Capacity has no explanation yet
- Comparing Lengths & Heights has no explanation yet
- Telling Time: Hours and Half Hours has no explanation yet
- Days, Weeks, Months & Years has no explanation yet
- Comparing durations has no explanation yet
- What Is a Half? has no explanation yet
- Fraction Notation has no explanation yet
- Fractions of amounts has no explanation yet
- Understanding fractions has no explanation yet
- Comparing and ordering numbers has no explanation yet
- Numbers up to 10 into pairs comes before Addition as combining or putting together two, which it needs
- Numbers up to 10 into pairs has no explanation yet
- Coin Values has no explanation yet
- Counting in 2s has no explanation yet
- Adding and subtracting has no explanation yet
- Number bonds to 9 has no explanation yet
- Subtraction as taking away or separating has no explanation yet
- Addition as combining or putting together two has no explanation yet
- Reading and writing numbers to 100 has no explanation yet
- Odd and even numbers has no explanation yet
- Counting objects to 20 has no explanation yet

Credit: The structure of Cambridge Primary, Lower Secondary and IGCSE: Mathematics (https://www.cambridgeinternational.org/programmes-and-qualifications/cambridge-primary-and-lower-secondary/); 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.