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Class 7

Mathematics: Ganita Prakash Part 1

78 lessons in 8 chapters, explained in plain words.

Large Numbers Around Us

  1. How big is one lakh?
  2. Getting a feel for a large number
  3. Reading and writing large numbers
  4. The Land of Tens
  5. Of crores and crores
  6. Exact or approximate?
  7. Nearest neighbours, and estimating
  8. Shortcuts in multiplication
  9. Did you ever wonder?

Arithmetic Expressions

  1. What an arithmetic expression is
  2. Comparing expressions without calculating
  3. Why brackets are needed
  4. Terms in an expression
  5. Swapping and grouping terms
  6. Removing brackets
  7. Tinkering with the terms
  8. The multiple of a sum
  9. Using it to calculate, and to read a situation

A Peek Beyond the Point

  1. Sonu's screws
  2. A tenth part
  3. Adding and taking away tenths
  4. A hundredth part
  5. Why we always split into ten
  6. The decimal point
  7. Units of measurement
  8. Finding a decimal on the number line
  9. Comparing decimals
  10. Adding decimals, and where decimals go wrong

Expressions using Letter-Numbers

  1. Letter-numbers
  2. A pattern written as an expression
  3. Formulas with more than one letter-number
  4. Back to arithmetic expressions
  5. Dropping the multiplication sign
  6. Simplifying: like terms
  7. Rectangles show why it works
  8. Taking one expression away from another
  9. Charu's quiz scores
  10. Expressions that look alike but are not

Parallel and Intersecting Lines

  1. When two lines cross
  2. Linear pairs and vertically opposite angles
  3. Why the protractor disagrees
  4. Perpendicular lines
  5. Parallel lines
  6. Making parallels by folding
  7. Transversals
  8. Corresponding angles
  9. Alternate angles
  10. Finding every angle

Number Play

  1. Numbers that tell us things
  2. Picking parity
  3. Parity
  4. The nth even and odd number
  5. Grids and their row sums
  6. Magic squares: what the magic sum must be
  7. Where each number must go
  8. Magic squares in history
  9. The Virahāṅka–Fibonacci numbers
  10. Digits in disguise

A Tale of Three Intersecting Lines

  1. What a triangle is made of
  2. Constructing an equilateral triangle
  3. A triangle from three given sides
  4. When no triangle is possible
  5. The triangle inequality
  6. Two sides and the angle between them
  7. Two angles and the side between them
  8. Finding the third angle
  9. The angle sum property
  10. Altitudes, and kinds of triangle

Working with Fractions

  1. Aaron and his tortoise
  2. A fraction of an hour
  3. A fraction of a fraction
  4. Brahmagupta's formula
  5. Is the product always bigger?
  6. Division as a multiplication question
  7. The reciprocal, and the rule for dividing
  8. When dividing makes things bigger
  9. Sharing out a fraction
  10. Baudhāyana's bricks