Chapter 6 Squares and Square Roots 6.1 Introduction You know that the area of a square = side × side (where ‘side’ means ‘the length ofa side’). Study the following table. What is special about the numbers 4, 9, 25, 64 and other such numbers? Since, 4 can be expressed as 2 × 2 = 2 2, 9 can be expressed as 3 × 3 = 3 2, all such numbers can be expressed as the product of the number ...
Read Chapters: Rational Numbers, Linear Equations in One Variable, Understanding Quadrilaterals, Practical Geometry, Data Handling, Squares and Square Roots, Cubes and Cube Roots, Comparing Quantities, Algebraic Expressions and Identities, Visualising Solid Shapes, Mensuration, Exponents and Powers, Direct and Inverse Proportions, Factorisation, Introduction to Graphs, Playing with Numbers,
Are the square roots of all positive integers irrational? If not, give an example of the square root of a number that is a rational number. 3. Show how can be represented on the number line. 4. Classroom activity (Constructing the ‘square root spiral’) : Take a large sheet of paper and construct the ‘square root spiral’ in the following ...
- How Many Squares? * Measure the side of the square on dotted sheet. Draw here as many rectangles as possible using such squares. * How many rectangles could you make? _____ Here’ s one! Each rectangle is made out of 12 equal squares, so all have the same area, but the length of the boundary will be different. Length of the boundary is called perimeter. * Which of these rectangles has the ...
This stamp has an area of 4 square cm. Guess how many such stamps will cover this big rectangle. Encourage children to first discuss different strategies for comparing the area of things by using different tokens, stamps, etc.