Author: mark_cameron
Last saved by: MHE
Company: McGraw-Hill

Lesson 1-1

Example  	Use the Four-Step Plan
1. BASKETBALL   Matthew scored 24 points during his championship basketball game.  His teammate, Greg, scored 8 points.  How many more points did Matthew score than Greg?

Explore	What are you trying to find?
	How many more points did Matthew score than Greg?

	What information do you need to solve the problem?
	You know how many points both Matthew and Greg scored during the championship basketball game.

Plan	You can find the difference between the number of points scored by Matthew and the number of points scored by Greg by using subtraction.

Solve	24 – 8 = 16
	Matthew scored 16 more points than Greg.

Check	The answer seems reasonable.  It can be checked by adding Greg’s points plus the difference to equal Matthew’s points.  8 + 16 = 24

EXAMPLE     Use a Strategy in the Four-Step Plan
2. SPORTS The basketball gym at Centerburg Middle School has seating for 4200 people. In 2003, the average attendance at the girls’ games was 110. The average attendance in 2004 increased to 220; in 2005, it increased to 440 people; and the attendance averaged 880 people per game in 2006. If the attendance continues to increase at the same rate, in what year will the gym be too small to seat all the people?

Explore	You know the average attendance for years 2003 through 2006.  

Plan	You can look for a pattern by organizing the information in a table.  Then continue the pattern until the average attendance is greater than the seating.  

Solve	Looking at the average attendance for 2003 through 2006, you can see that each year the average attendance is two times the average for the year before.    
Year | 2003 | 2004 | 2005 | 2006 | 2007 | 2008 | 2009
Average Attendance | 110 | 220 | 440 | 880 | 1760 | 3520 | 7040

	

× 2

× 2

× 2

Since the gym seats only 4200 people, in 2009, the average number of people attending a game will be greater than the number of available seats. 

Check	Complete the diagram to show that the answer is correct.

2003

2004

2005

	110 people; twice the average attendance

	220 people; twice the average attendance

	440 people; twice the average attendance