Only notes

AREA  The term “area” refers to the space inside the boundary or perimeter of a closed shape.  The area is measured in square units such as square feet, square centimetres, square inches, etc. The origin of the word is from ‘area’ in Latin, which translates to a vacant piece of level ground Deriving area formulas The “area” for any object  could be  explained as: The amount of material (such as paper, fabric, tiles) required to cover the surface in a 2-dimensional plane. Calculating the area The easiest method to interpret the area of geometric shapes is using “unit squares”. A unit square is a square with each of its side length measuring 1 unit. Using this as a basis, the area of a polygon is the number of unit squares within a shape. TRIANGLE: Area =  1⁄2× base × height  Area = 1⁄2 × b × h EXAMPLE: Find the area of a triangle with a base of 10 inches and a height of 5 inches. Solution : A = (1/2) × b × h A = 1/2 × 10 × 5 A = 1/2 × 50 A = 25 in2 SQUARE: A...

PERIMETER Lets discuss about perimeter   For Example, to fence the garden at your house, the length required of the material for fencing is the perimeter of the garden.  Perimeter of a shape is defined as the total distance around the shape. Perimeter Meaning Perimeter comes from two words. 'Peri' means 'total' and 'lateral' means 'sides' The perimeter of any two-dimensional closed shape is the total distance around it. Perimeter is the sum of all the sides of a polygon. The formula for perimeter: Perimeter = Sum of all sides The perimeter will be obtained by adding the measurements of the sides/edges of the shape.  Only in the case of a circle, the perimeter is stated as the circumference of the circle.  Perimeter Of Polygons SQUARE: The perimeter of the square is defined as the total length of the boundary of a square.  In order to calculate the perimeter of the square, we will find the sum of all of its sides.  Since, all the sides of a square are e...

  OPERATIONS ON FRACTIONS   Note : Before applying any operations such as addition, subtraction, multiplication, etc., change the given mixed fractions to improper fractions  ADDITION: Case 1: Adding with the same Denominators. Example : 7/4 + 6/4 Step 1:        Keep the denominator ‘4’ same. Step 2 :       Add the numerators ‘7’ +’6’ =13. Step 3 :      If the answer is in improper form, Convert it into a mixed fraction, i.e. 13/4  =  3(¼) So, We have 3(¼) wholes. Case 2: Adding with the Different Denominators. Example : 5/3 +2/9 Step 1:       Find the LCM between the denominators, i.e. the LCM of 3 and 9 is 9 Step 2:        Multiply both Denominators and Numerators of both fractions with a number such that they have the LCM as their new Denominator. Multiply the numerator and Denominator of  5/3 with 3 and 2/9 with 1. Step 3:       ...

CONVERTING FRACTIONS   CONTENT: Kinds of fraction. Converting improper fraction to mixed fraction. Converting mixed fraction to improper fraction. Quiz Hello students! Today lets learn how to convert improper fraction to mixed fraction and mixed fraction to improper fraction. Before that lets recall the types of fractions .  Kinds of Fractions There are three types of fractions. Types of Fractions Proper Fraction  -the numerator is less than Denominator Improper Fraction - the numerator is greater than the Denominator Mixed Fraction - written as a combination of a whole number and a fraction. Converting Improper fraction to a mixed fraction Step 1: Divide numerator with the denominator. Step 2:   Take quotient as whole number and remainder as the numerator of proper fraction. Step 3: The Denominator will be the same   Example 1 Convert 3/2 into Mixed Fraction. Solution: Given Fraction: 3/2 Divide the Numerator by the Denominator On dividin...