Subject: Mathematics | Time: 60 minutes |

Topic: Ratio & Proportion | Grade: VI |

Resources: Concrete material for hands-on activities Worksheets | Methodology:Hands-on activities Demonstration method Exercise practice |

## Objective:

### Students will be able to:

**Define and also discuss the ratio****Know that of the two quantities antecedent and consequent****Calculate and simplifying the ratios****Describe the relationship between ratio and fraction****Reduce the given ratio into lowest (equivalent) form**

## Procedure

### Explain ratio as the quantitative relation between two amounts. It shows the number of times one value contains or is contained within the other. A ratio is an ordered pair of numbers, written a : b, with b ≠ 0. The first part namely antecedent while second is known as consequent. For example ratio of 15 apples and 30 oranges can be written as 15 : 30 also 1 : 2, it clears oranges are double then apple. (15 min)

### The facilitator will further elaborate on the concept of the ratio by some real-life examples.

### E.g: (i) Books on a shelf. If there are 6 maths books and 4 physics books, the ratio of maths books compared to physics books would be 6:4, which reduces to 3:2.

### (ii) In a school teacher-students ratio is one teacher 25 students, 1 : 25. Particularly, ask participants examples. (15 min)

### Moreover, describe the relationship between ratio and fraction with simple examples. The ratio between 40 kg sugar and 90 kg rice 40 : 90 would be written as or. Second example the ratio of boys to compare girls in a school is 200 boys and 300 girls;

### So, the result is 2:3 which is also write in percentage 40% boys and 60% girls. (15 min)

## Activity

### Discus, convert the equivalent units before reducing ratios into lowest form. E.g (exempli gratia):

### 50 km : 5000 m (change meters into kilometers or vice-versa)

### 50 km : 5 km

### 10 km : 1 km

### So, their ratio of 10 : 1

### Some questions are also to assess participants understanding:

### (i) 90km : 3000 m

### (ii) 1200 gram : 60 kg

### (iii) 36 months : 12 years. (15 min)

## Assignment/extended task:

### Solve the attached worksheet 01

**Worksheet-01 Ratio & Proportion**

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