Understanding Graphical Relationships

Lesson 165 focuses on using coordinate graphs to represent mathematical relationships. The lesson begins with an introduction to coordinate graphs and their real-life applications, such as distance over time and earnings. It then explores the relationship between the length and width of rectangles, using a table and coordinate grid to illustrate how these dimensions add up to a constant value. The lesson also explains the concept of perimeter and provides a homework assignment to reinforce learning.

What is the main focus of lesson 165?

• Using coordinate graphs to show mathematical relationships

• Studying probability and statistics

• Understanding geometric shapes

• Learning about algebraic equations

Which of the following is a real-life example of a numerical relationship that can be shown graphically?

• Distance over time

• The sound of music

• The color of a car

• The taste of food

In the table discussed, what is the rule for changing the length?

• Divide by two

• Subtract one

• Multiply by two

• Add one

What should you do after extending the table and plotting the points on a coordinate grid?

• Find the area of the rectangle

• Calculate the volume

• Find the width when the length is 10

• Determine the color of the graph

What pattern is observed in the graph regarding the length and width?

• They always add up to 12

• They always add up to 20

• They always add up to 10

• They always add up to 15

What does the sum of the length and width tell you about the rectangle's perimeter?

• The perimeter is always 30

• The perimeter is always 24

• The perimeter is always 20

• The perimeter is always 36

In the new table, what is the rule for changing the value of y?

• Add one

• Subtract one

• Multiply by two

• Divide by two