1. 1.1 Notes: Rectangular Coordinates
Date:
1.1 Notes: Rectangular Coordinates
Lesson Objective: Plot points and use the distance formula, midpoint formula and coordinate plane to solve real-life problems.
You will need: graph paper
Real-World App: What is the distance of a football pass?
This is Jeopardy!!!: This was derived from the Pythagorean Theorem. Show work.

2. Pythagorean Theorem: Distance Formula:
Lesson 1: Pythagorean Thm vs Distance Formula – What’s the Diff?
Pythagorean Theorem:
Distance Formula:

3. Lesson 1: Pythagorean Thm vs Distance Formula
During the 3rd quarter of the 2004 Sugar Bowl, the quarterback for Louisiana State University threw a pass from the
28-yard line, 40 yards
from the sideline.
The pass was caught
by a wide receiver on
the 5-yard line, 20
yards from the same
sideline. How long
was the pass?

4. Lesson 1: Pythagorean Thm vs Distance Formula

5. Lesson 2: Verifying a Right Triangle
Show that the points (2, 1), (6, -1) and
(-1, -5) are vertices of a right triangle.
Shift the triangle 4 units
to the left and 2 units down-
ward and find the vertices
of the shifted triangle.

6. Lesson 3: The Midpoint Formula

7. Lesson 3: The Midpoint Formula
FedEx Corp. had annual revenues of $20.6 billion in 2002 and $24.7 billion in Without knowing any additional information, what would you estimate the 2003 revenue to have been? What would you estimate the 2006 revenue to have been?

8. Lesson 3: The Midpoint Formula

9. Lesson 4: Using a Geometric Formula
A cylindrical can has a volume of 200 cubic centimeters (cm³) and a radius of 4 cm. Find the height of the can.
V =

10. Lesson 5: Sketching a Scatter Plot
From 1990 through
2003, the amounts A
(in millions of dollars)
spent on skiing equip-
ment in the U.S. are
shown in the table,
where t represents
the year. Sketch a
scatter plot of the
data.

11. Lesson 5: Sketching a Scatter Plot
Make into line graph and bar graph.

12. 1.1: Do I Get It? (DIGI) Yes or No
1. Show that the points (2, 1), (4, 0) and (5, 7)
are vertices of a right triangle. Then shift the triangle 3 units to the right and 2 units upward and find the vertices of the shifted triangle.
2. A soccer player passes the ball from a point that is 18 yds from the endline and 12 yds from the sideline. The pass is received by the for-ward who is 42 yds from the same endline and 50 yds from the same sideline. How long is the pass?
Continued on next slide.

13. 1.1: Do I Get It? (DIGI) Yes or No
3. Use the Midpoint Formula to estimate the sales of Dollar Tree in 2002 if sales for 2001 were $1987 million and for 2003 were $2800 million. Estimate the sales for 2005.
4. A beach ball has a volume of cubic inches. Find the radius of the sphere if V = 4 3 πr³.