Ganita Prakash: Class 8 Mathematics, Part 1 (NCERT)
NCERT's Class 8 Mathematics textbook, Ganita Prakash: numbers, algebra, geometry and proportional reasoning. Explore ideas through stories, puzzles, everyday situations and activities instead of memorising steps, and grow confident at solving problems in more than one way.
A Square And A Cube
Chapter 1
Chapter 1 · Start here
A Square And A Cube
Square and cube numbers: their patterns, and how to find and estimate square and cube roots, starting with a locker puzzle.
Sprint 1
Perfect Squares And Their Patterns
What makes a number a perfect square, and the digit patterns that give non-squares away.
Sprint 2
Squares, Odd Numbers And Triangular Numbers
Squares as sums of odd numbers, their link to triangular numbers, and the patterns in the gaps between them.
Sprint 3
Finding Square Roots
Find square roots using prime factorisation.
Sprint 4
Estimating Square Roots
Estimate the square root of a number that isn't a perfect square.
Sprint 5
Cube Numbers And Their Patterns
What makes a number a perfect cube, and the patterns in cube numbers, including 1729.
Sprint 6
Finding Cube Roots
Find cube roots by grouping prime factors in threes.
Sprint 7
Review: A Square And A Cube
Put squares, cubes, roots and estimates together, and test yourself.
Power Play
Chapter 2
Chapter 2 · Start here
Power Play
Exponents: the laws for multiplying and dividing powers, zero and negative powers, and writing huge or tiny numbers in scientific notation.
Sprint 8
Basics Of Exponential Notation
Define base and exponent, and express numbers as products of prime factors in exponential form.
Sprint 9
Multiplication Laws Of Exponents
Master the laws for multiplying powers with the same base, raising a power to a power, and multiplying powers with the same exponent.
Sprint 10
Division, Zero, And Negative Exponents
Understand how subtracting exponents corresponds to division, leading to zero and negative exponents.
Sprint 11
Scientific Notation And Powers Of 10
Represent very large or small numbers using expanded form with powers of 10, and standard Scientific Notation.
Sprint 12
Getting A Sense For Large Numbers
Contrast linear growth with exponential growth, and gain an intuitive sense for massive numbers using powers of 10.
Sprint 13
Review And Practice: Power Play
Synthesize the laws of exponents and scientific notation across varied, integrated problems.