Data Analysis

 

Problem: Meg has a choice of 3 blouses, 4 skirts, and 2 pairs of shoes as she plans her outfit for a school dance. How many different outfits are possible?  

Methods:

• Multiplication

• Tree chart

Promotes Mathematical Understanding: This task promotes mathematical understanding in that students are encouraged to apply repeated probability to an authentic context.

Solution: Multiplication- 3 blouses x 4 skirts x 2 pairs of shoes = 24 outfits are possible.

Problem Source: http://www.portangelesschools.org/students/grade-5-PS.html

Web 2.0 Tools: Popplet, Educreations 

 

Problem: Ms. Hylton’s class is planning n pizza party in celebration of all the class’ 5th grade graduation. She surveyed the class to find out how many like pepperoni and how many like cheese. She organized the information to give her dad, who is going to order the pizza. Her results are the following:

• Cheese- 6 students

• Pepperoni- 12 students

• Both- 4 students

• How many students are in her class?

• What percent (rounded to the nearest whole percent) of students like cheese pizza?

Methods:

• Addition

• Division

• Number line

Promotes Mathematical Understanding: This task promotes mathematical understanding that students have to be attentive to the information provided. This is a two-part question, thus the information builds. This task also gives students the opportunity to use data in a meaningful context.

Solution: A.- to find out how many students are in the class, we would add the data given (6 cheese + 12 pepperoni + 4 both) and to know that there is 22 students in Ms. Hylton’s class. B.- There is 22 students in the class and 6 students like cheese, therefore we would divide 6 cheese /22 total number of students to see that 27% of students in Ms. Hylton’s class like cheese pizza.

Problem Source: Modified version of #7

http://www.lcps.org/cms/lib4/VA01000195/Centricity/Domain/9994/SunshineMath5-20.pdf

Web 2.0 Tools: Number Line App by Math Learning Center, Educreations Whiteboard App

 

Problem: Thee are four basketball games tonight. Three sports writers predict the winners in the morning paper.

• Perimeter picks: Raptors, Pacers, Magic, and 76ers.

• Exponent picks: Hawks, Pistons, Magic, and Raptors

• Helix picks: Heat, Raptor, Pistons, and Raptors

• No one picked the Bucks

Who played whom?

Methods:

• Venn diagram

• Data chart

Promotes Mathematical Understanding: This task promotes mathematical understanding in that students must be able to choose the data provided in order to analyze

Solution: Venn diagram- Use the Venn diagram method, each sportswriter’s pick is a set. Two teams that are in the same set cannot play each other. All the sportswriter’s chose the Raptors, so they would be included in all three circles. Since no one picked the Bucks, they are one the outside of the three circles and thus the Raptors played the Bucks. Perimeter and Helix selected the Pacers. The only remaining team not selected by both of these writers is the Hawks, since it is not in either of their circle. Therefore, the Pacers must have played the Hawks. Magic played Heat. Pistons played 76ers.

Problem Source: http://www.figurethis.org/challenges/c20/challenge.htm

Web 2.0 Tools: Prezi, Google Drive, Excel, ReadWriteThink