# Stage 3: third and fourth classes: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 19 concepts ready. In the app: https://ai.page/roadmap/ie-pmc-stage-3-third-and-fourth-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 3: third and fourth classes ## 1. Algebra · Patterns, rules and relationships - [Number Pattern Relationships](https://ai.page/c/number-pattern-relationships/index.md): Generate two numerical patterns using two given rules; identify relationships between corresponding terms; form ordered pairs and graph them on a coordinate plane ## 2. Algebra · Expressions and equations - [Expressions & Equations Vocabulary](https://ai.page/c/expressions-and-equations-vocabulary/index.md): Understand and use the concepts and vocabulary of expressions, equations, inequalities, terms, and factors; distinguish between an expression (no equals sign), an equation (equals sign), and an inequality (inequality sign) ## 3. Data and Chance · Chance - [Likelihood Language](https://ai.page/c/likelihood-language/index.md): Use probability language to describe and compare the likelihood of everyday events using words such as certain, likely, even chance, unlikely, impossible ## 4. 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 ## 5. Measures · Money - [Giving Change](https://ai.page/c/giving-change/index.md): Add and subtract amounts of money to give change, using both £ and p in practical contexts ## 6. Number · Place value and base ten - [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 ## 7. Number · Sets and operations - [Multi-step problems: choosing operations](https://ai.page/c/multi-step-problems-choosing-operations/index.md): Solve problems involving addition, subtraction, multiplication, and division, deciding which operations and methods to use and why; solve multi-step problems in contexts ## 8. Number · Fractions - [Comparing fractions](https://ai.page/c/comparing-fractions/index.md): Compare and order unit fractions, and fractions with the same denominator - [Fraction Addition Concepts](https://ai.page/c/fraction-addition-concepts/index.md): Understand addition and subtraction of fractions as joining and separating parts; decompose a fraction into a sum of fractions with the same denominator in more than one way - [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 - [Dividing fractions (unit fractions)](https://ai.page/c/dividing-fractions-unit-fractions/index.md): Interpret and compute division of a unit fraction by a non-zero whole number (e.g. 1/3 ÷ 4 = 1/12); use visual models and the relationship between multiplication and division to explain the result - [Adding fractions (different denominators)](https://ai.page/c/adding-fractions-different-denominators/index.md): Add and subtract fractions with denominators that are multiples of the same number by finding a common denominator ## 9. Shape and Space · Spatial awareness and location - [Describing Movements](https://ai.page/c/describing-movements/index.md): Describe movements between positions as translations of a given unit to the left/right and up/down - [Understanding angles](https://ai.page/c/understanding-angles/index.md): Recognise angles as a property of shape or a description of a turn ## 10. Shape and Space · Shape - [Classifying shapes by properties](https://ai.page/c/classifying-shapes-by-properties/index.md): Compare and classify geometric shapes based on their properties and sizes; understand that attributes belonging to a category also belong to all subcategories; classify two-dimensional figures in a hierarchy based on properties - [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 ## 11. Shape and Space · Transformation - [Transformations on a Grid](https://ai.page/c/transformations-on-a-grid-maths/index.md): Identify, describe, and represent the position of a shape following a reflection or translation using appropriate language; know that the shape has not changed ## Health: 0 of 100 Of its 19 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): - Number Pattern Relationships has no explanation yet - Expressions & Equations Vocabulary has no explanation yet - Likelihood Language 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 - Giving Change has no explanation yet - Numbers to 10,000 has no explanation yet - Multi-step problems: choosing operations has no explanation yet - Comparing fractions has no explanation yet - Fraction Addition Concepts has no explanation yet - Fraction Notation has no explanation yet - Dividing fractions (unit fractions) has no explanation yet - Adding fractions (different denominators) has no explanation yet - Describing Movements has no explanation yet - Understanding angles has no explanation yet - Classifying shapes by properties has no explanation yet - Composing 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.