Finding Distance by using the

Pythagorean Theorem

4 3 2 1 0In addition to level 3.0 and beyond what was taught in class, the student may: Make

connection with other concepts in math.

Make connection with other content areas.

Explain the relationship between the Pythagorean Theorem and the distance formula.

The student will understand and apply the Pythagorean Theorem. Prove the

Pythagorean Theorem and its converse.

Apply the Pythagorean Theorem to real world and mathematical situations.

Find the distance between 2 points on a coordinate plane using the Pythagorean Theorem.

The student will understand the relationship between the areas of the squares of the legs and area of the square of the hypotenuse of a right triangle. Explain the

Pythagorean Theorem and its converse.

Create a right triangle on a coordinate plane, given 2 points.

With help from the teacher, the student has partial success with level 2 and level 3 elements. Plot 3 ordered pairs

to make a right triangle

Identify the legs and the hypotenuse of a right triangle

Find the distance between 2 points on the coordinate grid (horizontal and vertical axis).

Even with help, students have no success with the unit content.

Focus 5 - Learning Goal #1: Students will understand and apply the Pythagorean Theorem.

What is the Pythagorean Theorem?

What is the distance between (-2, 1) and (1, 5)?

• Draw a line connecting the points.

• Draw in lines that would make a right angled triangle, using these two points as corners.

• Find the length of the horizontal side. (subtract the x’s = 1 – -2)

• 3• Find the length of

the vertical side. (subtract the y’s = 5-1)

• 4

What is the distance between (-2, 1) and (1, 5)?

4

3

• Use the Pythagorean Theorem to find the missing side.

• a2 + b2 = c2

• 32 + 42 = c2

• 9 + 16 = c2

• 25 = c2

What is the distance between (-2, 1) and (1, 5)?

4

3

525

c

• Draw in the line to connect the dots. Draw in the horizontal and vertical lines.

• Find the lengths of the horizontal and vertical lines.

• Horizontal 1 - -6Vertical -4 - 6

What is the distance between (-6, 6) and (1, -4)?

7

10 c

• Use the Pythagorean Theorem to find the missing side.

• a2 + b2 = c2

• 102 + 72 = c2

• 100 + 49 = c2

• 149 = c2

What is the distance between (-6, 6) and (1, -4)?

7

10 c

c149 Is between 12 and 13.