Sunday, October 8, 2017

Everyone Needs a Friend Oct. 9, 2017

Problem of the Week (Oct. 9, 2017)
Everyone Needs a Friend

Directions: Write your work on a separate sheet of paper. Label the paper with your FULL name, your teacher, and which problem(s) you are handing in, then staple it to this sheet.

SHOW ALL YOUR WORK
Guinea pigs are very social creatures and they need to have another guinea around to be happy. In Switzerland there is a law that if you own a guinea pig, you must always own at least 2 of them. If people only have one guinea and don’t want to buy another one, they can rent one. These questions are based on some Bedtime Math problems.

Level 1: Itty Bitty Legs: If you must have at least 2 guinea pigs, what is the least number of total legs? (only count the guinea pig legs, not your legs)  Bonus: Guinea pigs have 4 toes on each front foot and 3 toes on each back foot. How many toes does 2 guinea pigs have?

Level 2:  Rent-a-Piggy: If you pay $1 per day to rent a guinea pig for 7 weeks, how much money will you pay?

Level 3: Chow Down:  If there are 80 guinea pigs and each one eats 2 cups of dry food and 1 cup of hay everyday, how much total food do they eat all together in one day?

Super Bonus: Then There Were Some: If ¼ of the 80 guinea pigs are rented out in November, and 3/10 of the remaining guinea pigs are rented out in December, in which month were the most guinea pigs rented out?

Sunday, October 1, 2017

By a Whisker Oct. 2, 2017

Problem of the Week (Oct. 2, 2017)
By a Whisker

Wookie: named for the Chewbacca like sound of his kitten meow

Directions: Write your work on a separate sheet of paper. Label the paper with your FULL name, your teacher, and which problem(s) you are handing in, then staple it to this sheet.

SHOW ALL YOUR WORK

Level 1: To Fit or Not to Fit: Cat’s look adorable with their whiskers. However, the whiskers are also very important to the cat, because the whiskers tell a cat if an opening is big enough to fit through. If a cat’s whiskers reach 7 inches across and a hole is 8 inches across, will the cat fit? Explain how you know if they fit or don’t fit. Bonus- If a cat has 12 whiskers on each side of its face, how many whiskers does it have? Show work.


Level 2:  Whiskers, Whiskers Everywhere: Besides the whiskers on the sides of their nose, cats also have whiskers on their chin, above their eyes, and behind each front paw. That’s a lot of whiskers! If a cat has nine whiskers on each side of its nose, above each eye, behind each front paw and under its chin, how many whiskers does it have? Draw a picture or make a list to help you.


Level 3: A Clowder of Cats:  A group of cats is sometimes called a clowder (that’s a great vocabulary word for the week). In my clowder of cats, one cat has 80 whiskers, another cat has 36 whiskers, and the 3rd cat’s number of whiskers is halfway in between. How many whiskers does the 3rd cat have? Bonus- How many whiskers altogether in my clowder?

Sunday, September 24, 2017

World's Longest Hot Dogs Sept. 25, 2017


Problem of the Week (Sept. 25, 2017)
World’s Longest Hot Dogs


Directions: Write your work on a separate sheet of paper. Label the paper with your FULL name, your teacher, and which problem(s) you are handing in, then staple it to this sheet.

SHOW ALL YOUR WORK

Level 1: Early records: In July 2003, the world record hot dog was 16 feet long. One year later in July 2004, a hot dog broke the record. It was 37 feet long. How much longer was the 2004 hot dog than the 2003 hot dog?



Level 2:  Official Record: The current world record for the longest hot dog and bun is 669 feet, a record set in 2011. A typical hot dog is about 6 inches long (equals ½ foot). How many typical hot dogs can you make from the world record hot dog?



Level 3: Bun Problem:  The world record requires that the hot dog be placed in a continuous bun. That is the hardest part of breaking the record. Usually the dough is placed on a conveyor belt and that takes it into an oven that is open on both ends, The dough cooks as it slowly passes through the oven and comes out on the other side onto another conveyor belt. If it takes 30 minutes to bake each 3 foot section of bun, how long will it take to bake the 669 foot bun from the world record?



For a picture of a 2006 world record hot dog, check out my blog at:     https://problemoftheweekbreck.blogspot.com/

Sunday, September 17, 2017

A Whale of a Slide Sept. 18, 2017

Problem of the Week (Sept. 18, 2017)
A Whale of a Slide


Directions: Write your work on a separate sheet of paper. Label the paper with your FULL name, your teacher, and which problem(s) you are handing in, then staple it to this sheet.


SHOW ALL YOUR WORK


Read this part before doing any problems:
Near Hawaii, dolphins and humpback whales have been seen interacting in a fun way. The dolphin rides on the whale’s back as the whale surfaces and then the dolphin slides down the whale’s side. They will do that together over and over.


Level 1: Side to Side: If the dolphin first slides down the whale’s left side, then its right side and keeps alternating sides until it has slid down 7 times, how many times did it ride down the right side.


Level 2: Hey, Little Buddy: The 12 foot dolphin is 39 feet shorter than the whale. How long is the whale? Draw a picture or a bar model to help you. Bonus:  If you lined up the dolphin and whale end to end, how long would they be altogether?
Level 3: A Weighty Whale:  The humpback whale weighs 66,000 pounds. If the whale weighs 100 times more than the dolphin, how much does the dolphin weigh?


Thank you to Bedtime Math for the problem ideas this week.

Monday, September 11, 2017

Bee Happy September 11, 2017

Problem of the Week (Sept. 11, 2017)
Bee Happy


Directions: Write your work on a separate sheet of paper. Label the paper with your FULL name, your teacher, and which problem(s) you are handing in, then staple it to this sheet.

SHOW ALL YOUR WORK

Level 1: Happy Bees: Six bees went out to find flowers. They found 3 flowers. Draw a picture of the bees on the flowers and try to have the same number of bees on each flower.

Level 2: Honeycomb: Honeycomb is made up of hexagons. How many sides does a hexagon have? Draw a picture with hexagons carefully fitted together like honeycomb. Can you draw one with 12 hexagons?
Level 3: Honey, Honey:  If 1000 bees collect nectar and each bee fills ½ of a honeycomb cell, how many honeycomb cells will be filled?

Welcome back to school!

Monday, April 17, 2017

Flower Shop April 17, 2017

Problem of the Week (April 17, 2017)
Flower Shop



Directions: Write your work on a separate sheet of paper. Label the paper with your FULL name, your teacher, and which problem(s) you are handing in, then staple it to this sheet.
SHOW ALL YOUR WORK on a separate sheet of paper.
PLEASE BE NEAT AND ORGANIZED.

READ FIRST: This week the problem is one big word problem divided into 3 levels. In order to complete Level 2, you must complete Level 1 first. In order to complete Level 3, you must complete Level 2 first.  

Level 1:  Grand Opening:
Rose, Tulip, and Daffodil decided to start a flower shop. On the day of their grand opening, they sold 45 roses. They also sold 5 fewer daffodils than they sold of the roses. They sold 12 more tulips than they sold of the daffodils. Draw a picture or bar model to help you. How many of each type of flower did they sell?
Roses = ________________
Daffodils = ________________
Tulips = ________________

Level 2:  Success or Failure?:  
How many total flowers did they sell the first day? Show your calculations. Their goal was to sell 100 flowers each day? Did they make their goal for their first day? Explain how much over or under the goal they were.

Level 3: Weekly Average:

The rest of the week was very busy for the 3 women. On Tuesday, they sold 84 flowers. On Wednesday, they sold 102 flowers. On Thursday, they sold 95, and finally on Friday, they sold 112 flowers. Find the average number of flowers they sold each day (don’t forget to include Monday). Average can be found by adding up all the numbers and then dividing by the number of days. Was their average better or worse than their $100/day goal?

Puzzler's Request April 10, 2017

Problem of the Week (April 10, 2017)
Puzzler’s Request

Directions: Write your work on a separate sheet of paper. Label the paper with your FULL name, your teacher, and which problem(s) you are handing in, then staple it to this sheet.
SHOW ALL YOUR WORK on a separate sheet of paper.
PLEASE BE NEAT AND ORGANIZED.

I have received a request for more riddle and logic type problems. So here you go….

Level 1:  Riddle Me This:
Follow the steps below in order to get the answer. Remember that sum means addition, difference means subtraction, product means multiplication, and quotient means division. All steps will involve positive, whole numbers.
  1. Start with the number of days we are in school this week.
  2. Add the Ms. Simonson’s birthday (hint: it is the last day of June).
  3. Divide by the number of legs on the 1st bird of spring!
  4. Subtract the number of toes on 1 foot of a typical 1st grader.
  5. Multiply by the number of 3rd grade teachers at Breck this year.
Show your work and circle the answer!

Level 2:  Jumping Frogs:  (thank you to Mindware Perplexors)
Five kids (named Joe, John, Julie, Joy, and Jimmy) entered a total of five frogs in a frog-jumping contest: Hoppy, Floppy, Choppy, Jumpy, and Bumpy. In some order the frogs jumped 30 feet, 25 feet, 20 feet, 15 feet, and 3 feet. Use the clues below to match the kid with their frog, and the distance each frog jumped. Think about how you can organize the options and eliminate combinations bit by bit.
  1. Jimmy’s frog Bumpy only jumped half as far as Jumpy, but 5 times as much as Julie’s frog.
  2. Floppy jumped 20 feet.
  3. Joe and John had frogs that jumped more than 20 feet.
  4. Hoppy jumped the shortest distance.
  5. Joe’s frog jumped 25 feet.
Use this list as one possible way to organize:
Joe     (Hoppy, Floppy, Choppy, Jumpy, Bumpy)  (30 ft., 25 ft., 20 ft., 15 ft., 3 ft.)
John   (Hoppy, Floppy, Choppy, Jumpy, Bumpy)  (30 ft., 25 ft., 20 ft., 15 ft., 3 ft.)
Julie    (Hoppy, Floppy, Choppy, Jumpy, Bumpy)  (30 ft., 25 ft., 20 ft., 15 ft., 3 ft.)
Joy      (Hoppy, Floppy, Choppy, Jumpy, Bumpy)  (30 ft., 25 ft., 20 ft., 15 ft., 3 ft.)
Jimmy (Hoppy, Floppy, Choppy, Jumpy, Bumpy)  (30 ft., 25 ft., 20 ft., 15 ft., 3 ft.)

Level 3: April Code Breaker:
Each unique letter represents a number. The number-letter relationship is the same for each problem.

A + B + C = 15
A + B + B = 8

C + C + B + B + A = 24

Answer: A = _________   B = __________   C = ___________