# Class 7: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 18 concepts ready. In the app: https://ai.page/roadmap/in-ncert-class-7 Part of: [NCERT: Mathematics](https://ai.page/roadmap/in-ncert.md) Goal: NCERT syllabus (National Council of Educational Research and Training): Mathematics, Class 7 ## 1. Number System · Knowing our Numbers - [Fractions on a number line](https://ai.page/c/fractions-on-a-number-line-3/index.md): Understand and use place value for decimals, measures, and integers of any size; extend the number system to include all positive and negative integers, decimals, and fractions on a single number line ## 2. Number System · Rational Numbers - [Number Sets & Infinity](https://ai.page/c/number-sets-and-infinity/index.md): Appreciate the infinite nature of the sets of integers, real numbers, and rational numbers; position integers on a number line and distinguish between rational and irrational numbers ## 3. Number System · Decimals - [Unit Conversions](https://ai.page/c/unit-conversions/index.md): Convert freely between related standard units of measurement (time, length, area, volume/capacity, mass) using decimal notation to up to three decimal places where appropriate ## 4. Algebra · Algebraic Expressions - [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) - [Collecting Like Terms](https://ai.page/c/collecting-like-terms/index.md): Simplify algebraic expressions by collecting like terms — combine terms with the same variable and power (e.g., 3a + 2b + 5a = 8a + 2b) while maintaining equivalence - [Factorising Expressions](https://ai.page/c/factorising-expressions/index.md): Factorise algebraic expressions by taking out common factors — identify the highest common factor of all terms and write the expression as a product, e.g., 6x + 9 = 3(2x + 3) ## 5. Algebra · Linear Equations - [Solving Linear Equations](https://ai.page/c/solving-linear-equations/index.md): Use algebraic methods to solve linear equations in one variable, including equations that require rearrangement, expanding brackets, and collecting terms on both sides; solve equations with rational number coefficients ## 6. Ratio and Proportion · Percentage - [Percentages as Fractions](https://ai.page/c/percentages-as-fractions/index.md): Define percentage as 'number of parts per hundred'; interpret percentages and percentage changes as a fraction or a decimal; express one quantity as a percentage of another; compare quantities using percentages; work with percentages greater than 100% - [Percentages (age 12+)](https://ai.page/c/percentages-age-12/index.md): Solve problems involving percentage increase, percentage decrease, finding the original value after a percentage change, and calculating simple interest ## 7. Geometry · Understanding shapes - [Understanding angles (age 11+)](https://ai.page/c/understanding-angles-age-11/index.md): Apply the properties of angles at a point (360°), on a straight line (180°), and vertically opposite angles to find unknown angles in multi-step problems - [Angles with parallel lines](https://ai.page/c/angles-with-parallel-lines/index.md): Understand and use the relationship between parallel lines cut by a transversal: corresponding angles, alternate interior angles, and co-interior (same-side interior) angles; use these to find unknown angles ## 8. Elementary Shapes · Symmetry - [3-D shapes (age 11+)](https://ai.page/c/3-d-shapes-age-11/index.md): Use the properties of faces, surfaces, edges, and vertices of 3-D shapes (cubes, cuboids, prisms, cylinders, pyramids, cones, and spheres) to solve problems, including visualising cross-sections - [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 ## 9. Elementary Shapes · Congruence - [Angles in triangles (age 12+)](https://ai.page/c/angles-in-triangles-age-12/index.md): Know and use the criteria for triangle congruence (SSS, SAS, ASA, RHS), use standard labelling conventions for sides and angles of triangle ABC, and determine whether two triangles are congruent ## 10. Elementary Shapes · Construction - [Types of angles (age 8+)](https://ai.page/c/types-of-angles-age-8/index.md): Use and interpret standard geometric diagram conventions: mark right angles with a small square, equal lengths with single or double tick marks, and equal angles with arc marks; label angles in three-letter notation (∠ABC) and individual angles with a single letter or number; draw diagrams showing angles at a point, angles on a straight line, and angles inside polygons with these conventions; read diagrams with these marks to identify given information and find unknown values ## 11. Mensuration · Perimeter - [Circles: Circumference & Area](https://ai.page/c/circles-circumference-and-area/index.md): Calculate the circumference and area of circles using the formulae C = πd (or 2πr) and A = πr², and solve problems involving perimeters and areas of composite shapes that include circular parts ## 12. Data handling · Statistics - [Comparing measurements](https://ai.page/c/comparing-measurements/index.md): Describe, interpret, and compare distributions of a single variable using appropriate measures of central tendency (mean, median, mode) and spread (range), including the effect of outliers ## 13. Data handling · Probability - [Experimental probability](https://ai.page/c/experimental-probability/index.md): Record, describe, and analyse the frequency of outcomes from probability experiments to develop an understanding of relative frequency as an estimate of probability ## Health: 0 of 100 Of its 18 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): - Fractions on a number line has no explanation yet - Number Sets & Infinity has no explanation yet - Unit Conversions has no explanation yet - Expressions & Equations Vocabulary has no explanation yet - Collecting Like Terms has no explanation yet - Factorising Expressions has no explanation yet - Solving Linear Equations has no explanation yet - Percentages as Fractions has no explanation yet - Percentages (age 12+) has no explanation yet - Understanding angles (age 11+) has no explanation yet - Angles with parallel lines has no explanation yet - 3-D shapes (age 11+) has no explanation yet - Coordinate Transformations has no explanation yet - Angles in triangles (age 12+) has no explanation yet - Types of angles (age 8+) has no explanation yet - Circles: Circumference & Area has no explanation yet - Comparing measurements has no explanation yet - Experimental probability 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.