# Stage 2: first and second classes: Mathematics

A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 20 concepts ready. In the app: https://ai.page/roadmap/ie-pmc-stage-2-first-and-second-classes

Part of: [Primary Mathematics Curriculum](https://ai.page/roadmap/ie-pmc.md)

Goal: Primary Mathematics Curriculum (NCCA, 2023), junior infants to sixth class: learning outcomes, Stage 2: first and second classes

## 1. Algebra · Patterns, rules and relationships

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

## 2. Algebra · Expressions and equations

- [Reading +, −, and = symbols](https://ai.page/c/reading-and-symbols/index.md): Read, write, and interpret the symbols +, −, and = in number sentences

## 3. Measures · Measuring

- [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
- [Calculating with measurements](https://ai.page/c/calculating-with-measurements/index.md): Measure, compare, add, and subtract lengths (m/cm/mm), mass (kg/g), and volume/capacity (l/ml) using standard units
- [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

## 4. Measures · Time

- [Telling Time: Minutes](https://ai.page/c/telling-time-minutes/index.md): Tell and write the time to five minutes, including quarter past and quarter to, and draw clock hands to show these times
- [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

## 5. Measures · Money

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

## 6. Number · Numeration and counting

- [Adding numbers](https://ai.page/c/adding-numbers/index.md): Add up to four two-digit numbers using strategies based on place value and properties of operations

## 7. Number · Place value and base ten

- [Place value of each digit](https://ai.page/c/place-value-of-each-digit/index.md): Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones)
- [10 or 100 More or Less](https://ai.page/c/10-or-100-more-or-less/index.md): Find 10 or 100 more or less than a given number up to 1000
- [Numbers to 10,000](https://ai.page/c/numbers-to-10-000/index.md): Identify, represent, and estimate numbers up to 10,000 using different representations

## 8. Number · Sets and operations

- [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

## 9. Number · Fractions

- [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
- [Fractions of a whole](https://ai.page/c/fractions-of-a-whole/index.md): Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a/b as a parts of size 1/b
- [Equivalent fractions](https://ai.page/c/equivalent-fractions/index.md): Recognise and show, using diagrams, equivalent fractions with small denominators

## 10. Shape and Space · Spatial awareness and location

- [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
- [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)

## 11. Shape and Space · Shape

- [2-D shapes](https://ai.page/c/2-d-shapes/index.md): Recognise and name common 2-D shapes (circles, triangles, rectangles including squares)

## 12. Shape and Space · Transformation

- [Transformations on a grid](https://ai.page/c/transformations-on-a-grid/index.md): Represent and carry out geometric transformations on squared paper or a coordinate grid: reflections (in horizontal, vertical, and diagonal mirror lines, including the axes), translations (described as a vector or as left/right/up/down moves), and rotations (90° or 180° about a stated centre point); describe each transformation precisely using the correct language; identify which transformation maps one shape onto its image by comparing position, orientation, and size

## Health: 0 of 100

Of its 20 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):

- Patterns & Sequences has no explanation yet
- Reading +, −, and = symbols has no explanation yet
- Measuring with different units has no explanation yet
- Calculating with measurements has no explanation yet
- Comparing lengths by measuring has no explanation yet
- Telling Time: Minutes has no explanation yet
- Comparing Time Durations has no explanation yet
- Coin Values has no explanation yet
- Adding numbers has no explanation yet
- Place value of each digit has no explanation yet
- 10 or 100 More or Less has no explanation yet
- Numbers to 10,000 has no explanation yet
- Addition and subtraction strategies has no explanation yet
- Fractions of amounts has no explanation yet
- Fractions of a whole has no explanation yet
- Equivalent fractions has no explanation yet
- Positional Language has no explanation yet
- Position, direction, and movement has no explanation yet
- 2-D shapes has no explanation yet
- Transformations on a grid has no explanation yet

Credit: The structure of Primary Mathematics Curriculum (NCCA, 2023), junior infants to sixth class: learning outcomes (https://www.curriculumonline.ie/primary/curriculum-areas/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.
