## Monday, March 12, 2018

### Knights of the Bar Models (March 12, 2018)

Problem of the Week (March 12, 2018)
The Knights of the Bar Models

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.

Winter is almost over, spring break starts soon. So let’s leave winter behind with some challenging word problems. And for those that want more great problems, check out Noetic Learning

Level 1: Sir Rope-a-lot:  Sir Rope-a-lot has a 36 foot long rope. He wants to cut it into 2 pieces but they do not have to be the same length. However, no piece of rope can be less than 4 feet long. Make a chart or table to show Sir Rope-a-lot all the different ways he could cut the rope into 2 pieces (example: he can cut the rope into a 4 foot piece and a 32 foot piece because 4 + 32 = 36).

Level 2: Sir Rope-s’more: Sir Rope-a-lot’s friend is named Sir Rope-s’more. He has a rope that is 28 feet long. He wants to cut the rope into 2 pieces, but he wants the longer piece to be 4 feet longer than the shorter piece. Draw a bar model or make a chart to figure out the answer to both questions below.
How long is the longer piece of rope?
How long is the shorter piece of rope?

Level 3: Sir No-rope: Sir No-rope doesn’t have any rope, but he does have 3 friends named Rina, Maria, and Addie. He is trying to figure out the age of each friend. He knows their total age is 54 years. He knows that Rina is 3 times older than Maria. He also knows that Addie is twice as old as Maria. Draw a bar model that compares the 3 people and use it to answer the question. How old is Maria?
Bonus: How old is Rina?   How old is Addie?

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Please read: Ms. Simonson is thinking about some Breck students participating in a math contest this spring or fall. It will be just for fun. If you are interested, please put your full name and class on this line:  _________________________________________________________

### Cookies and Dentists (March 6, 2018)

Problem of the Week (March 6, 2018)

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.

Does anyone else find it strange that March 6th is both National Oreo Cookie Day and National Dentist’s Day? I guess if you are going to celebrate Oreos by eating them, you should also make sure you get your teeth looked after to prevent cavities from all that sugar.

Level 1: Oreo Math:  Everyone knows Oreos for their creamy center, but did you know there is a mathematical relationship between the amount of cookie and the amount of creamy center?  If one Oreo is considered to be 100% and the cookie portion is 71% of that, what percent of the Oreo is the creamy center?

Bonus: Hydrox cookies look just like Oreos and some people think they are copycats. However, Hydrox were created in 1908, while Oreos came 4 years later. What year were Oreos created?  (use this info in Level 3)

Level 2: Teeth: By the time you are an adult, you will have the following list of teeth:
8 incisors, 4 canines, 8 premolars, 12 molars.
Part A: How many total teeth will you have?  Part B: How many more premolars and molars will you have than canines? Part C: How many more teeth do you need to get to the total teeth of an adult?
Tooth trivia: Ancient Egyptians brushed their teeth using a tooth powder made from crushed egg shells and oxen hooves.

Level 3: Cookie Division: Since their introduction in the year _______ (fill in the blank by using the answer to level 1 bonus), at least 450 billion Oreo cookies have been sold. How many cookies (on average) was that per year through this year 2018? This question is a whopper! Good luck.

NAME: ________________________ TEACHER: ___________

### Love Your Pet (Feb. 20, 2018)

Problem of the Week (Feb. 20, 2018)
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.

Level 1: Doggie Run: There are plenty of dogs at the Westminster Kennel Club Show, all sizes and colors. If you have 5 dogs in the show ring, how many dog legs are there?
Bonus: If each dog has a human handler, how many total legs are in the show ring?

Level 2: Dogs vs. Cats: Ever wonder which pet is more popular, dogs or cats? Here are some numbers to help you figure it out. Part A: There are 43,346,000 households in the United States that have dogs. There are 36,117,000 households that have cats. Are there more households with cats or with dogs? ___________________
Part B: There are 69,926,000 pet dogs in the United States, and 74,059,000 pet cats. Are there more dogs or more cats? _____________________
Bonus: Which pet do you think is more popular and why?

Level 3: Big Number Party: Use the information in the Level 2 question to answer these questions.

1. How many total dogs and cats are household pets in the United States?
2. How many more cats are there than dogs?

NAME: _________________________ TEACHER: ___________

### Maker Time (Feb. 12, 2018)

Problem of the Week (Feb. 12, 2018)
Maker Time

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.

STEAM class will start February 22nd, so to get you thinking about that, here are some measurement problems. Measuring carefully will make your project be its very best.

Level 1: Sir Drill-a-lot : First grade is going to learn to use hand drills and they will get a lot of practice drilling holes. If Marie drills 9 holes, Adam drills 7 holes, and Harper drills 13 holes, how many holes were drilled altogether?

Level 2: Board or Bar?: Nico and Caroline have a 60 inch wooden board. They make one cut, and when they are done cutting Nico’s piece is 3 times longer than Caroline’s piece. How long is Nico’s piece? How long is Caroline’s piece?

Hint: This problem is a perfect place to use bar models.

Level 3: Fraction Action: Mr Kust starts with a 5 foot long board. He cut off 10 inches. Then he cut off 12 ¾” followed by 8 ½”. The final piece he cut off was 10 ¾”. How many inches of board are left over?

NAME: _________________________ TEACHER: ___________

### Book Lovers (Feb. 5, 2018)

Problem of the Week (Feb. 5, 2018)
Book Lovers

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.

Books are a great human invention, but have you ever wondered what qualifies as the biggest book in the world? The Guiness Book of World Records contends that the biggest book, titled ‘This the Prophet Mohammed’, is 16 feet tall and 13 feet wide. It has 429 pages and weighs more than 3000 pounds. Wow!

Level 1: Reach high: If you can reach 5 feet with your hand, how many feet taller is the biggest book (read the above paragraph to find the other information you need)?

Level 2: How wide?: When you open the 13 foot wide book, it will be twice as wide. How wide will it be when you open it? Bonus: Could you fit this huge book in your bedroom? Would it fit if closed? If open? Write the measurements for your bedroom here _________________________________

Level 3: Back pain: The book weighs 3,300 lbs. If each kid can carry 10 pounds on their back, how many kids would it take to carry the weight of the book?  Bonus: What if each kid could carry 30 pounds. How many kids would it take to carry it then?

Thank you to Bedtime Math for the inspiration.

NAME: ______________________TEACHER: ___________

## Monday, January 29, 2018

### National Puzzle Day (Jan. 29, 2018)

NAME: TEACHER:

Problem of the Week (Jan. 29, 2018)
National Puzzle Day

January 29th is National Puzzle Day. This includes jigsaw puzzles, crossword puzzles, KenKens, and every other kind of puzzle you can imagine. In honor of my personal favorite day of the year, the POTW includes different kinds of math puzzles. Be warned, this is an extra thick issue of POTW.

Level 1: Secret Code: Use the hints to figure out the message.
Hint 1: The only letters used are A, E, U, D, N, R, S, and T.
Hint 2: The vowels are all even numbers. The consonants are odd numbers.

Hint 3: A + A = E   and   E + E = U

Hint 4: U - 3 = D

Hint 5: N + A = R

Hint 6: E + D = S

Hint 7: R + E = T

_____  _____  _____  _____          _____  _____  _____  _____  _____  _____  _____
9           7          2          3                  9          7          8           5         4           1          7

Level 2: A ken for  KenKens: To solve fill in the blank squares so that each row and each column contain all of the digits 1 thru 3. The heavy lines surround areas (called cages) that contain groups of numbers that can be combined (in any order) to produce the result shown in the clue, either using addition (+) or subtraction (-) as shown in the clue. For example, 12+ means you can add the values together to produce 12. Numbers in cages may repeat, as long as they are not in the same row or column.

Level 3: For the Birds (Mindware): Five birds named Beaky, Bob, Billy, Bosco, and Brainy decided to go to their local Pizza Nest for a pizza. They all wanted a different topping so they ordered their own individual pizzas. The birds were either a seagull, an owl, a pigeon, a robin, or a crow. The toppings they ordered were either worms, fishheads, slugs, bugs, or seeds. To drink, they ordered either water, root beer, iced tea, milk, or juice. Based on the clues, match the names with the type of bird, topping, and drink.

1. The seagull, whose name is not Billy, didn’t order his favorite fishhead pizza this time.
2. The milk drinker didn’t order worm pizza.
3. The juice drinker is a crow and the robin eats slugs.
4. Bob didn’t order water or iced tea.
5. The owl, who isn’t Bosco or Brainy, ordered fishhead pizza and iced tea.
6. Billy, who is not an owl or robin, didn’t drink juice or iced tea.
7. Bob didn’t drink milk or juice.
8. Billy and Bosco don’t drink water or eat seeds.
9. The water drinker doesn’t eat bugs or seeds.

BEAKY            BOB              BILLY            BOSCO            BRAINY
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Seagulls         Seagulls        Seagulls           Seagulls         Seagulls
Owl                 Owl                 Owl                  Owl                 Owl
Pigeon     Pigeon           Pigeon              Pigeon            Pigeon
Robin      Robin             Robin                Robin              Robin
Crow              Crow              Crow                 Crow               Crow
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Worms      Worms           Worms             Worms            Worms