The document outlines a lesson plan focused on teaching students how to calculate distances on a coordinate plane using the Pythagorean theorem and the distance formula. Students will engage in warm-up activities with a partner, solve assigned problems individually, and participate in a self-assessment quiz via Kahoot. At the end of the lesson, students should be able to apply these mathematical concepts to find distances between points.

1. Distance on a
Coordinate Plane

2. Warm-up Activity (5 mins)
Work with your seatmate and answer the
activity sheet to be provided. Then check
your answers with the other pairs in your
class.

3. Answers:

4. Objectives:
At the end of the lesson, you will be able to:
 Use the Pythagorean Theorem to find
distances between two points on a
coordinate plane.
 Use the Distance Formula to find an
unknown distance.

5. The Pythagorean Theorem

6. Let’s use the Pythagorean
Theorem to find a distance!
7
5
a2
+b2
=c2
(5)2
+(7)2
=c2
25 + 49 =c2
74 =c2

7. Try this one using the
Pythagorean Theorem!

8. Answer:

9. The Distance Formula
2 2
2 1 2 1
( ) ( )
d x x y y
   

10. Example 1:

11. Example 2:

12. Example 3:

13. Main Activity (15 mins)
• Work individually on the problem
assigned to you.

14. Answers:
Blue: 3.6 units
Yellow: 1.4 units
Green: 13.6 units

15. Assess yourself! (10 mins)
• Kahoot!