Thursday, November 29, 2012

Bridgette's Menu Problem

4th grade LOVES a math challenge! Check out what they did today.
  
Lunch Special
Choose one main dish, one side dish, and a drink for only
$2.99 

There are 2 different main dishes, 3 different side dishes, and 4 different drinks on Bridgette’s menu. Bridgette would like to know how many combinations would be available to her customers. Can you help Bridgette?

·        How many meal combinations can you make?

·        Use words, pictures, tables, and/or a chart to prove that you have all possible combinations.

·        Can you write an equation that would help you determine how many total combinations you will have?

·        If  N= number of main dishes, X = number of side dishes, and Y = number of drinks, is it possible to write an equation that would always work, even if Bridgette added another choice in one (or any) of the categories?
Now see how we solved it!
After the kids had been working awhile, I realized that I didn't have a core math idea on the board. Ooops! So, I asked the kids, "What do you think the big idea is in this problem? Why am I having you do this?" This is the core math idea that they came up with. What do you think?
 
Evan used a tree diagram and color coding to find his solution.

Margaret solved her problem using a table.



Griffin made an organized list.


 
Clara used a tree diagram. Notice that she identifies the "proof" that her answer is correct.

Kieran used two methods. Compare his equation to some of the others.

Problem solved! Lena is one happy mathematician!

Ireland takes a snack break!
 
Ireland made an organized list for the hot dog combinations then multiplied it by 2 to get the total combinations. Awesome work Ireland!
Jarod's equations. If Bridgette adds another main dish will his second equation still work?

  
 
Still working :) Check back tomorrow!
 
Update!
Day 2 of the "Bridgette Problem"
 

Lydia and Ella used a table. They seperated the "hot dog combos" and the "hamburger combos".
 
Griffin's Final Poster
Fantastic!

Like Ireland, Silas discovered that he just needed to figure out the total number of hot dog combos and then multiply it by 2 to get the total number of possible combinations. 
 
After comparing Clara and Kieran's work, something pretty cool happened. Watch the video below to see Kieran, Ella, Evan, Griffin, and Silas discover and discuss the associative and commutative properties of multiplication.
 
 
 

Sunday, November 18, 2012

The 4th Grade Math Experts Take on Mindy's Algebra Unit!

Mindy's Core Math Ideas

Smile! Lena and Griffin prove that math can be fun :) 

 
Great things happen when we work as a team!

How many ways can you solve the problem?

 
Math is colorful in our class.
 

Proud mathematician.

Ask us to explain. We dare you.