Intermath | Workshop Support
 Write-up

Title

Problem Statement

The Math Theater has 15 rows of seats. The first row has 25 seats. Each row thereafter has two more seats than the row before it. With this information, how many seats are there in the theater altogether?

GPS Alignment

M6P. Process Skills
Students will apply mathematical concepts and skills in the context of authentic problems and will understand concepts rather than merely following the sequence of procedures. They will also use the process standards as a way acquiring and using content knowledge.

M6P1. Using appropriate technology, students will solve problems that arise in mathematics and in other context.
a. Solve non-routine word problems using all strategies learned in previous grades.
b. Solve single and multi-step routine word problems related to all appropriate sixth grade math standards.
c. Determine the operation(s) needed to solve a problem.
d. Determine the most efficient way to solve a problem (mentally, paper/pencil, or calculator).

M7P. Process Skills
Students will apply mathematical concepts and skills in the context of authentic problems and will understand concepts rather than merely following the sequence of procedures. The student will use the process standards as a way acquiring and using content knowledge.

M7P1. Using appropriate technology the student will solve problems that arise in mathematics and in other context.
a.  Solve non-routine word problems using strategies learned in previous grades.
b.  Solves single and multi-step routine word problems related to all appropriate seventh grade math standards.
c.  Determine the operation(s) needed to solve a problem.
d.  Determine the most efficient way to solve a problem (mentally, paper/pencil, or calculator).

M8P. Process Skills
Students will apply mathematical concepts and skills in the context of authentic problems and will understand concepts rather than merely following the sequence of procedures. They will also use the process standards as a way acquiring and using content knowledge.

M8P1. Using appropriate technology the student will solve problems that arise in mathematics and in other context.
a.  Solve non-routine word problems using strategies learned in previous grades.
b.  Solves single and multi-step routine word problems related to all appropriate eighth grade math standards.
c.  Determine the operation(s) needed to solve a problem.
d.  Determine the most efficient way to solve a problem (mentally, paper/pencil, or calculator).

Problem setup

If a theater has 15 rows of seats how many seats are in the theater if there are two additional seats in each row and the first row has 25 seats.

Plans to Solve/Investigate the Problem

I plan to write a chart with with one column labeled ROW# and the next column labeled SEATS. I will have 1-15 under the row number and 25 seats for the first row of seats adding two additional seats thereafter. I will then add up all of the numbers on a calculator.

Investigation/Exploration of the Problem

ROW #     SEATS

1              25

2              27

3              29

4              31

5              33

6              35

7              37

8              39

9             41

10            43

11             45

12             47

13             49

14            51

15            5 3

_______________

TOTAL # OF SEATS  = 585

Author & Contact
Pam Joseph
eaglepjo@aol.com

Link(s) to resources, references, lesson plans, and/or other materials