A “conjecture” is an educated guess. I noticed something when I divided a whole number and a fraction so I’m making a “conjecture”. Your job is to see if my conjecture is always true, sometimes true, or never true. You will do this by checking my work and then positing your own 3 examples. If you cannot find an example that disproves my conjecture you should assume it is always true. If you can find even one example that disproves my conjecture you would conclude that my conjecture is sometimes true. In this example, we know that “never true” isn’t an option because my examples are true! Here we go:

I took 60 and divided it by 1/2 (not 2) and my calculator said the answer was 120.

60 ÷ (0.5) = 120

I took 10 and divided it by 1/4 (not 4) and my calculator said the answer was 40.

10 ÷ (0.25) = 40

I took 75 and divided it by 1/10 (not 10) and my calculator said the answer was 750.

75 ÷ (0.1) = 750

My conjecture: When you divide a whole number by a fraction the answer is more than you started with. Is this always true or sometimes true? In order to pick “sometimes true” you have to come up with an example that disproves my conjecture.

Your heart pumps about 5 quarts of blood through its chambers every 60 seconds. A swimming pool (20ft x 60ft) will hold about 65,000 gallons of water.

How many weeks would it take your heart to pump that much blood?

You can find a conversion table HERE!

A canoe rental store on Lake Louis, Canada has 30 canoes that it rents on a daily basis during the summer season. If canoes rent for $15 per day, how much can the store collect for canoe rentals during the month of July?

I like that we can make new friends and have fun at school. Also, I really love the teachers, they are amazing and they help us learn! xD

In Reno, Netflix earned $5,393.25 in subscriptions during July. January subscriptions are expected to double that amount. If a Netflix subscription is $7.99, how many subscriptions are expected in January?

Remember that you will need to SHOW and EXPLAIN how you solved your problem. DO NOT just type an answer in!!

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Welcome to Clayton Pre-AP Academy!  You are among a fortunate group of students who have the privilege of attending THE BEST middle school in all of Washoe County School District!

Welcome to 7th grade math! I am excited to get to know you! 🙂 Our math department is dedicated to helping you realize your potential as a math student. This year, you will learn many new concepts and review a few you might already know. I am asking you (and expecting you) to work very hard to understand each of the math standards taught in class. This means that you need to ask for help when you don’t understand. I am available everyday at lunch and often before and after school too! You will work harder in math over the next two years at Clayton than you have ever worked before but you will be rewarded when you get to high school and are totally ready to be successful in high school math. 

I am excited to begin your middle school journey with you and to help you grow as mathematicians!

This is your first homework assignment! After you have logged into the blog, please leave a comment below that tells me what is the most exciting thing about being a middle school student!

Have an AMAZING summer break! I look forward to seeing each and every one of you at school next year. 🙂

What is the smallest three digit palindrome that is divisible by 18? Explain how you found your answer.

This week you will visit the Get the Math website and discover how math is used in the fashion industry. The link below will start you at the Introduction to this activity. After you watch the introduction, follow the links to the right of the video to Take the Challenge, See how the teams solved the challenge, and finally, Try other fashion challenges. 

Tell me what garment you chose to take the other fashion challenge with and how you solved the challenge! 

http://www.thirteen.org/get-the-math/the-challenges/math-in-fashion/introduction/12/

For Mother’s Day you gave your mom 1 rose, 1 daisy, 1 lily, and 1 carnation one flower at a time. How many different ways can you hand those flowers to your mom? Explain how you came up with your solution!

Can you find 4 consecutive prime numbers that add up to 220?

It takes a lot of work to keep Disneyland’s two parks looking top notch. Some of that work is making sure that all the equipment is freshly painted and looking its best. When it comes time to paint the Ferris Wheel, Disneyland maintenance crews need to use a little math to get the job done. The diameter of the Ferris Wheel is 160 feet. They need to paint both of the outside rails of wheel red. How many feet total of red paint will they be painting? Explain how you found your solution.

It was Easter in Easter village and all the Easter bunnies are joyful. The annual Easter egg hunt was just finished. The Easter egg hunt is where four Easter bunnies search for any of the four colored eggs and then cross the finish line. Can you figure out which Easter bunny found which egg and what place they finished?

Easter bunnies- Mr Hops, Jumper, Long Ears, and Mrs. Littlenose

Easter Eggs- blue, red, green, and yellow

Clues:

1. Long Ears did not finish in 2nd place.

2. Jumper did not finish in 1st

3. Long Ears found the red Easter egg.

4. The bunny that finished in 2nd did not find the green egg.

5. Mr. Hops did not find the blue egg.

6. Littlenose did not finish in 2nd.

7. The bunny that found the blue egg did not finish in 1st or 2nd.

8. Hops finished in 4th.