Class 7th - Mathematics - Foundation Program

Numbers & Number System

1. Place value for large numbers

2. Comparing and ordering large numbers

4. Whole numbers and their properties

5. Integers (positive, negative numbers, number line)

6. Operations with integers (+ , - , x , / )

7. Fractions (types, equivalent, simplification)

8. Operations with fractions ( + , - , x , / )

9. Decimals and place values

10. Operations with decimals (add, subtract, multiply, divide)

Factors & Multiples

11. Prime and composite numbers (review)

12. Prime factorization, HCF and LCM (using prime factor tree, division method)

13. Divisibility rules (by 2, 3, 5, 9, 11, etc.)

14. Relation between HCF and LCM

15. Word problems using HCF and LCM

Algebra Basics

16. Introduction to algebra (variables and constants)

17. Writing simple algebraic expressions

18. Simplification of expressions

19. Solving simple linear equations (one variable)

20. Word problems using equations

Geometry Basics

21. Point, line, line segment, ray (revision)

22. Types of angles (acute, obtuse, right, reflex, straight)

23. Measuring and constructing angles (protractor, compass)

24. Properties of parallel lines and transversal (angles formed)

25. Triangles (types by sides and angles)

26. Properties of triangles (sum of angles = 180°)

27. Congruence of triangles

28. Quadrilaterals (square, rectangle, rhombus, trapezium, parallelogram)

29. Circle (radius, diameter, chord, arc, circumference)

30. Symmetry and geometrical patterns

Mensuration (Measurement)

31. Perimeter of polygons and circles

32. Area of rectangle, square, triangle, parallelogram

33. Area of circle

34. Surface area of cube, cuboid, cylinder

35. Volume of cube, cuboid, cylinder

36. Conversion of units (cm² to m², m³ to cm³, etc.)

Data Handling & Statistics

37. Collecting and organizing data

38. Pictographs and bar graphs

39. Double bar graphs

40. Mean, median, and mode (introductory level)

41. Probability (simple experiments, outcomes, chance events)

Ratio, Proportion & Percentage

42. Concept of ratio

43. Proportion and simple problems

44. Unitary method

45. Percentage (finding %, converting fractions and decimals to %)

46. Profit and loss (basic word problems)

47. Simple interest (introductory problems)

48. Speed, distance, and time problems

49. Average (numbers, distances, speeds)

50. Basic algebra & arithmetic word problems combined

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