Proportional Relationships and Arrangements

The video tutorial covers Activity Five, focusing on tables and chairs arrangements to explore proportional and non-proportional relationships. It begins with an overview of the activity and its context within the lesson. The first part explains how to determine if an arrangement is proportional by using tables to find the constant of proportionality and writing equations. The second part discusses non-proportional relationships, where the number of chairs per table changes, and how to write equations for these scenarios.

What is the main task in the 'Tables and Chairs' activity?

• To calculate the total number of tables and chairs.

• To design new arrangements of tables and chairs.

• To compare different types of furniture.

• To determine if the arrangements are proportional and write equations.

What was the focus of Lesson 7?

• Calculating the total number of chairs needed.

• Designing new furniture arrangements.

• Creating tables to identify proportional relationships.

• Writing equations for non-proportional relationships.

In the first arrangement, how many chairs are there per table?

• Five chairs per table.

• Six chairs per table.

• Four chairs per table.

• Seven chairs per table.

What equation represents the first arrangement's relationship?

• c = 6t

• c = 4t + 2

• c = 5t

• c = 7t - 1

What is the constant of proportionality in the first arrangement?

• 7

• 5

• 4

• 6

In the second arrangement, how many chairs are added to the ends?

• No chairs are added to the ends.

• One chair is added to each end.

• Two chairs are added to each end.

• Three chairs are added to each end.

What is the equation for the second arrangement?

• c = 6t

• c = 5t

• c = 7t - 1

• c = 4t + 2

Why is the second arrangement not proportional?

• The tables are not aligned properly.

• The number of chairs per table is constant.

• The number of chairs per table changes with the number of tables.

• The chairs are not evenly distributed.

How many chairs are there for two tables in the second arrangement?

• Fourteen chairs

• Twelve chairs

• Ten chairs

• Eight chairs

How many chairs are there for three tables in the second arrangement?

• Eighteen chairs

• Fourteen chairs

• Twelve chairs

• Sixteen chairs