Thanksgiving

A large Thanksgiving banquet served between 500 and 600 people. The dinner rolls came in baker's dozens (packages of 13). After everyone had been served a roll there were a number of empty packages plus one open package with 10 rolls left. The pies for dessert had each been cut into ninths, and after everyone had been served a slice there were a number of empty pie tins plus one pie tin with 4 slices left. The tables in the banquet hall each had room for 15 guests. All but one of the tables were full. How many people were seated at that last table?

Remember to explain how you got your answer.  You should have all the steps in your explaination.  Someone who does not understand math should be able to look at your answer and how you solved the problem and understand how to work through the problem.

Have fun and good luck,
Ms. L.

Building Bouquets

Jana owns and operates an independent flower shop. To help sell more flowers (and cut down on waste), she offers a daily special of bouquets or corsages created from "leftovers" from larger orders.

With today's batch of leftovers, Jana decides to try 4 flowers in each bouquet, but she has three extra flowers left. To make pricing easier, she wants the specials to be the same size, so she tries making the bouquets with 7 flowers each... but then there are two flowers left. If she makes bundles of 8 flowers, she has three flowers left.

What is the smallest possible number of flowers that Jana has to work with?

With the number of flowers determined above, how many bouquets or corsages and of what size can Jana make?

Do you think that Jana would ever have enough leftovers that it wouldn't matter if she chose to make bouquets of 7, 8, or 9 flowers? (Don't forget - Jana doesn't want to waste a single flower.)

Friday the 25th

Today you will learn how to work on the wiki.

You will need to go to our link - (Listed on the side of the page and below.)

Class Wiki

Sign up and create an account, then come and see me.  I will make you a writer.  You may then go looking for math games.  You will add any games you find to the game page on the wiki.  You will create a title for the page, write a description of the game and paste it under the correct grade level and math strand.  Just like in the blog it is very wise to create everything in Word and then cut and past it into the wiki.  (Make sure you have clicked the "EDIT PAGE" button to do your pasting.

See me for any help,
Ms. L.

Really Thirsty

If we were to fill a glass with water at a constant rate (for example, 1 cubic inch per minute), we could graph the height of the water in the glass as time goes by.


Suppose we fill the three glasses below in such a manner. Match up each glass with the graph that best describes the height of the water in the glass over time. Justify your answer using key features of the glass and the graph.

Describe the glass (or create one in paint,) that would correspond to the leftover graph. (Be sure to save your picture as a JPEG and e-mail to Ms. Leckman at mathclasshonors@yahoo.com)

Here is some student work:

Hoppy Days

Three green frogs and three brown frogs sit on their own lily pads. There is one spare pad between the two sets of frogs. No pad can support more than one frog at a time.

The green frogs are going to change places with the brown frogs, but must observe the following rules.

• A frog can hop to an adjacent pad.

• A frog can jump over another frog to an unused pad.

• A frog cannot move backward. For example, once a frog moves to the right, it can only continue to move to the right.


1. What is the minimum number of moves needed to have the green frogs switch places with the brown frogs? Describe the movement of the frogs.

http://www.mofunzone.com/online_games/frog_leap.shtml#

SOLUTION:



The minimum hops is 15. I have included a visual for you. You could have drawn the problem out or created a table to help you solve the problem.

Grandma's Birthday

Alice and Jessica are writing invitations for a surprise birthday party for their grandmother. Alice starts at 8:00 a.m. and writes 10 invitations per hour. Jessica starts at 10:00 a.m. and writes 15 invitations per hour.

1. If the girls stop when they have written the same number of invitations, what time will it be?
2. Together, how many invitations will they have written?
3. Each invitation is for two people. Two-thirds of the people who receive invitations attend the party. Remembering that Alice and Jessica do not get invitations but are the hostesses, and Grandmother does not receive an invitation because she is the guest of honor, how many people are at the party?

Very Nicely done for a first POW!!!  Here is the solution.  It will clearify the answer for some of you and fine tune some of your thinking.  Again, nice job!!!

You could have made a table with the time and the number of invitations each girl made per hour. By 10:00, Alice will have done 20 invitations. At 11:00, 30 and 15 invitations will be produced by Alice and Jessica respectively. At 12:00, Alice would have completed 40 and Jessica would have done 30. At 1:00, 50 and 45 will be done. At 2:00, they will have both done 60 invitations for a total of 120 invitations. 2/3rds of the people invited would be 160 people in attendance. But don’t forget you need include Alice, Jessica and their Grandmother so there would be a total of 163 people at the party.

Ms. L.