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Relationships and Change - Week 47 - Lesson 3 - Introduction to Proportional Division

Objective (Teaching Point):

• Introduction to proportional division

• Using a ratio

Starter:

1. If a bar of chocolate costs 5kr; how much is the cost of:

1. 2 bars

2. 5 bars

3. 10 bars

4. 11 bars

2. My 3 friends and I decide to go and watch a basketball game. The four tickets would cost 600kr.

After a week, 5 other friends of us decided to come with us to the game.

By that time the prices increased by 5% per ticket.

How much will they pay altogether?

Lesson:

Introduction to Proportional Division

Steps:

1. Add the numbers in the ratio to find the total number of parts (ex. 2:5 = 7)

2. Divide the amount by the total number of parts to find the size of each part

3. Multiply the size of one part by the number of parts as given in the ratio

4. Check that the resulting amounts add up to the given total. 

Ex. 64 girls and boys have planned for a movie. They are in a ratio of 6 girls to 2 boys. How many girls are there?

Explain the method:

1. Add the parts: 6 + 2 = 8 

2. Divide amount by total parts: 64 : 8 = 8

3. Multiply: 8 x 6 = 48 boys, 8 x 2 = 16 girls

4. 48 boys + 16 girls = 64 (CHECK)

Work in Class:

ANYTHING BUT THE 1ST PAGE

Relationships and Change - Week 47 - Lesson 3 - Introduction to Proportional Division

Objective (Teaching Point):

• Introduction to proportional division

• Using a ratio

Starter:

1. If a bar of chocolate costs 5kr; how much is the cost of:

1. 2 bars

2. 5 bars

3. 10 bars

4. 11 bars

2. My 3 friends and I decide to go and watch a basketball game. The four tickets would cost 600kr.

After a week, 5 other friends of us decided to come with us to the game.

By that time the prices increased by 5% per ticket.

How much will they pay altogether?

Lesson:

Introduction to Proportional Division

Steps:

1. Add the numbers in the ratio to find the total number of parts (ex. 2:5 = 7)

2. Divide the amount by the total number of parts to find the size of each part

3. Multiply the size of one part by the number of parts as given in the ratio

4. Check that the resulting amounts add up to the given total. 

Ex. 64 girls and boys have planned for a movie. They are in a ratio of 6 girls to 2 boys. How many girls are there?

Explain the method:

1. Add the parts: 6 + 2 = 8 

2. Divide amount by total parts: 64 : 8 = 8

3. Multiply: 8 x 6 = 48 boys, 8 x 2 = 16 girls

4. 48 boys + 16 girls = 64 (CHECK)

Work in Class:

ANYTHING BUT THE 1ST PAGE

Relationships and Change