Understanding the Swooping Method

Miss Smith's math tutorial focuses on finding a missing endpoint using the swooping method. The video explains how to determine a missing endpoint when given a midpoint and another endpoint. The swooping method is introduced as a simple and memorable technique for students. Two examples are provided to demonstrate the method, emphasizing the importance of visualizing the problem and applying consistent patterns. The tutorial concludes with a recap of the method's steps.

What is typically given in a math problem involving finding a missing endpoint?

• No points at all

• Two endpoints

• A midpoint and an endpoint

• Two midpoints

Why does Miss Smith prefer to dedicate a whole video to finding a missing endpoint?

• It's a common question students get wrong on tests.

• It's the easiest topic in math.

• It involves complex calculations.

• It's rarely covered in other lessons.

What is the swooping method primarily used for?

• Finding the midpoint of a line

• Calculating the slope of a line

• Finding a missing endpoint

• Determining the length of a line

Why is the swooping method favored by students?

• It's easy to remember and apply.

• It's the only method available.

• It requires no drawing.

• It involves complex calculations.

In the first example, what is the x-coordinate of the missing endpoint if the given endpoint is (6, 10) and the midpoint is (2, 3)?

• 4

• 0

• -2

• 8

In the first example, what is the y-coordinate of the missing endpoint if the given endpoint is (6, 10) and the midpoint is (2, 3)?

• 3

• -4

• 7

• 10

What is the first step in the swooping method when finding the x-coordinate of the missing endpoint?

• Add the x-values of the given endpoint and midpoint.

• Subtract the x-value of the midpoint from the given endpoint.

• Multiply the x-values of the given endpoint and midpoint.

• Divide the x-value of the midpoint by the given endpoint.

In the second example, what is the x-coordinate of the missing endpoint if the given endpoint is (0, 12) and the midpoint is (10, 30)?

• 40

• 30

• 20

• 10

In the second example, what is the y-coordinate of the missing endpoint if the given endpoint is (0, 12) and the midpoint is (10, 30)?

• 60

• 50

• 48

• 42

What is the key pattern used in the swooping method?

• Repeating the same addition or subtraction

• Multiplying the coordinates

• Dividing the coordinates

• Finding the average of the coordinates