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The ratio of Sam’s age to Aaron’s age can be written as: 25 : 50 or = The ratio of Sam’s age to Aaron’s age is 1:2  2 © 2009 - 2011 tutorco.com 6/7/1/T Key Concept: Understanding the concept of ratio and reducing ratios to the lowest form. Plan of action: A ratio is a comparison of two numbers. We generally separate the two numbers in the ratio with a colon ":". Suppose we want to write the ratio of 8 and 12.We can write this as 8:12 or as a fraction 8/12, and we say the ratio is eight to twelve or 8 is to 12. After explaining the concept of ratio, tutor with explain the concept of reducing the ratios to simplest form. Express the ratio 10:45 in the simplest form. We will write the ratio in the form of a fraction 10/45. Since both the numbers are completely divisible by 5, so we can write 2 x 5/ 9 x 5. Cancelling 5 from top and bottom, we will get 2/9. Since they are not divisible by the same number, so 2/9 is the answer. 10/45 = 2/9 GRADE 6 TOPIC: RATIO AND PROPORTION What they already know: 1. Student knows about addition, subtraction, multiplication and division of numbers. 2. Student knows about fractions. Suggested Examples: 1. Jeannie has a bag with 3 videocassettes, 4 marbles, 7 books and 1 orange. What is the ratio of books to marbles? Answer: Express the ratio of books to marbles as a fraction, with the numerator as number of books and the denominator as number of marbles. So, the answer would be 7/4.Two other ways of writing the ratio are 7 to 4, and 7:4. 2. Katie has a bag with 3 videocassettes, 4 marbles, 8 books and 1 orange. What is the ratio of videocassettes to the total number of items in the bag? Answer: There are 3 videocassettes and the total items are 3 + 4 + 8 + 1 = 16 So, the answer can be expressed as 3/16, 3 to 16 or 3:16. 3. Sam’s age is 25 and Aaron’s age is twice of Sam. Find the ratio of Sam’s age to Aaron’s age. Solution: Sam’s age = 25 Aaron’s age = 2 x Sam’s age  = 2 x 25 = 50 Specific Objectives: 1. Student will be able to understand the concept of ratio. 2. Student will be able to write the ratios in the simplest form.