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.

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

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?

Lesson 1: Pythagorean Thm vs Distance Formula

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.

Lesson 3: The Midpoint Formula

Lesson 3: The Midpoint Formula FedEx Corp. had annual revenues of $20.6 billion in 2002 and $24.7 billion in 2004. 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?

Lesson 3: The Midpoint Formula

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 =

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.

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

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.

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 904.32 cubic inches. Find the radius of the sphere if V = 4 3 πr³.