# Class 5: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 25 concepts ready. In the app: https://ai.page/roadmap/in-ncert-class-5 Part of: [NCERT: Mathematics](https://ai.page/roadmap/in-ncert.md) Goal: NCERT syllabus (National Council of Educational Research and Training): Mathematics, Class 5 ## 1. Geometry · SHAPES & SPATIAL UNDERSTANDING - [Nets of 3-D Shapes](https://ai.page/c/nets-of-3-d-shapes/index.md): Identify, draw, and interpret nets of common 3-D shapes — cubes, cuboids, triangular prisms, and square-based pyramids — by predicting which 3-D shape a given flat arrangement of faces will fold into, checking whether a net will close completely, and sketching a net from a description or 3-D model; understand the relationship between the number of faces and the structure of the net - [3-D shapes (age 9+)](https://ai.page/c/3-d-shapes-age-9/index.md): Identify 3-D shapes, including cubes and other cuboids, from 2-D representations - [Types of angles](https://ai.page/c/types-of-angles/index.md): Identify acute and obtuse angles; compare and order angles up to two right angles by size - [What Is an Angle?](https://ai.page/c/what-is-an-angle/index.md): Understand that an angle is a geometric shape formed by two rays sharing a common endpoint (vertex); recognise angles in real-life contexts and 2-D shapes - [Lines, Rays & Angles](https://ai.page/c/lines-rays-and-angles/index.md): Draw and identify points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines; identify these in two-dimensional figures - [Coordinate Transformations](https://ai.page/c/coordinate-transformations/index.md): Identify properties of translations, rotations, and reflections; describe and perform these transformations on given figures, and understand that the image is congruent to the original - [2-D shapes (age 8+)](https://ai.page/c/2-d-shapes-age-8/index.md): Identify lines of symmetry in 2-D shapes presented in different orientations; recognise line-symmetric figures and draw lines of symmetry ## 2. Numbers · NUMBERS AND OPERATIONS - [Place Value Problem-Solving](https://ai.page/c/place-value-problem-solving/index.md): Solve number and practical problems involving place value with increasingly large positive numbers - [Addition and subtraction strategies (age 10+)](https://ai.page/c/addition-and-subtraction-strategies-age-10/index.md): Add and subtract decimals to hundredths using strategies based on place value, properties of operations, and the relationship between addition and subtraction; relate strategies to written methods and explain reasoning ## 3. Numbers - [Mixed & Improper Fractions](https://ai.page/c/mixed-and-improper-fractions/index.md): Use the four operations with formal written methods applied to integers, decimals, proper and improper fractions, and mixed numbers, all both positive and negative - [Factors, multiples, and primes](https://ai.page/c/factors-multiples-and-primes/index.md): Find all factor pairs for a whole number in the range 1–100; identify common factors and common multiples of two numbers; use these concepts to solve problems ## 4. MENTAL ARITHMETIC - [Estimation to check answers to calculations](https://ai.page/c/estimation-to-check-answers-to-calculations/index.md): Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy ## 5. FRACTIONAL NUMBERS - [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 - [Decimals for Tenths & Hundredths](https://ai.page/c/decimals-for-tenths-and-hundredths/index.md): Use decimal notation for fractions with denominators 10 or 100; read and write decimal numbers as fractions (e.g. 0.62 = 62/100, 0.71 = 71/100) ## 6. Money - [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 - [Compound Units](https://ai.page/c/compound-units/index.md): Use compound units such as speed (distance ÷ time), unit pricing (cost ÷ quantity), and density (mass ÷ volume); solve problems involving compound units - [Estimating and comparing money](https://ai.page/c/estimating-and-comparing-money/index.md): Estimate, compare, and calculate different measures including money in pounds and pence ## 7. Measurement · LENGTH - [Measuring Perimeters](https://ai.page/c/measuring-perimeters/index.md): Measure the perimeter of simple 2-D shapes ## 8. Measurement - [Measurement Conversions](https://ai.page/c/measurement-conversions/index.md): Solve problems involving the calculation and conversion of units of measure, using decimal notation and multi-step reasoning in real-world contexts - [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 - [Simplifying Fractions](https://ai.page/c/simplifying-fractions/index.md): Use common factors to simplify fractions to their simplest form; use common multiples to express fractions with a common denominator ## 9. Measurement · Volume - [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 ## 10. Data Handling - [Picture & Bar Graphs](https://ai.page/c/picture-and-bar-graphs/index.md): Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories; solve put-together, take-apart, and compare problems using information presented in a bar graph ## 11. Patterns - [Shape patterns](https://ai.page/c/shape-patterns-maths/index.md): Generate a number or shape pattern that follows a given rule; identify apparent features of the pattern not explicit in the rule and explain informally why they occur - [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 ## Health: 0 of 100 Of its 25 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): - Nets of 3-D Shapes has no explanation yet - 3-D shapes (age 9+) has no explanation yet - Types of angles has no explanation yet - What Is an Angle? has no explanation yet - Lines, Rays & Angles has no explanation yet - Coordinate Transformations has no explanation yet - 2-D shapes (age 8+) has no explanation yet - Place Value Problem-Solving has no explanation yet - Addition and subtraction strategies (age 10+) has no explanation yet - Mixed & Improper Fractions has no explanation yet - Factors, multiples, and primes has no explanation yet - Estimation to check answers to calculations has no explanation yet - Fraction Addition Concepts has no explanation yet - Decimals for Tenths & Hundredths has no explanation yet - Multi-step problems: choosing operations has no explanation yet - Compound Units has no explanation yet - Estimating and comparing money has no explanation yet - Measuring Perimeters has no explanation yet - Measurement Conversions has no explanation yet - Measuring with different units has no explanation yet - Simplifying Fractions has no explanation yet - Measuring length (age 10+) has no explanation yet - Picture & Bar Graphs has no explanation yet - Shape patterns has no explanation yet - Number Pattern Relationships 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.