STUDENT CLASSROOM ACTIVITY - SHIRTS & PANTS ACTIVITY

GETTING STARTED

• If you are sharing or not using your own journal, Write your name at the top of the page
• In your journal or at the top of your page, write the date and the title

Solve this problem yourself and develop a way to convince others that your solution is correct.

• Stephen has THREE SHIRTS:
  • WHITE shirt, BLUE shirt, YELLOW shirt

• He has TWO PAIRS OF PANTS:
  1. BLUE jeans, WHITE jeans

1. How many different outfits can he make?
2. What are each of the different outfits he can make?
3. Write down your prediction of the number of outfits he can make which are different.
4. Draw a circle around the number of outfits that you predict

Share and compare your solution and justification with others in your group.

1. Write down the number of outfits that you found using your solution and draw a square around the number of outfits
2. Write down your justifications/proof, so that you can share, explain it and convince other students.

Solve the following extensions to the Shirts and Pants problem. Share your solutions:

To make sure his pants stay up, his mother has made a rule that Steve must wear a belt every day. She has given Steven a new black belt.

Stephen now has:

• Three SHIRTS: WHITE, BLUE, YELLOW
• Two pairs of JEANS: BLUE, WHITE
• One BELT: BLACK
• How many different outfits can he make now?
  1. Write down the number of outfits that you prediction and draw a circle around it.
  2. Write down the number of outfits that you found and draw a square around it.
  3. What are each of the different outfits he can make?

Share your solutions and convince us that you have found all possible outfits.

Write down your justifications/proof, so that you can share and explain it to other students.

If Stephen's mother gives him one more belt How many different outfits can he make now?

Stephen now has:

• Three SHIRTS: WHITE, BLUE, YELLOW
• Two pairs of JEANS: BLUE, WHITE
• Two BELTS: BLACK, RED
• How many different outfits can he make now?
  1. Write down the number of outfits that you prediction and draw a circle around it.
  2. Write down the number of outfits that you found and draw a square around it.
  3. What are each of the different outfits he can make?
  4. How can you convince us that you have found all possible outfits?

Share your solutions and prove/convince us that you have found all possible outfits.

Stephens mother would like Stephen to have more outfits.

She has only five dollars to spend on new clothes for Stephen.

She can buy him only one new item:

• One red belt, one red shirt or one pair of red pants

• What item do you think she should buy for him?
• Write down the name of the item she should buy and how many new outfits you think Stephen could make if he includes his new item and draw a circle around your prediction.

Share your solutions and prove/convince us which item she should buy to make the most outfits.

Write down your justifications/proof, so that you can share and explain it to other students.

Solve the following extensions to the Shirts and Pants problem.

• Mario has exactly sixteen (16) different outfits.
• Decide how this might be possible.
• Write down what pieces of clothing, and how many of each he might have.

Share your solutions and prove/convince us that your items can make exactly 16 different outfits (not more and not less).

Write down your justifications/proof, so that you can share and explain it to other students.

Stephen has only:

• Three SHIRTS: WHITE, BLUE, YELLOW
• Two pairs of JEANS: BLUE, WHITE
• One BELT: BLACK

Stephens mother would like him to have more outfits but she has only five dollars to spend on new clothes for him.

Today, is the Super Saturday and Steven's mother sets out with five dollars. She finds a store with a Sale that is offering: 'Buy any item for $5 and get one free' (get two of the same items for the price of one item).

• What two new items do you think she should buy and add to his wardrobe to make the most number of outfits?
• Write down the name of the new item she should buy that you think he could add to his wardrobe and would help him make the most number of outfits.

1. How many different outfits can he make now?
2. What are each of the different outfits he can make?
3. Write down your prediction of the number of outfits he can make which are different.
4. Draw a circle around the number of outfits that you predict

Share and compare your solution and justification with others in your group.

1. Write down the number of outfits that you found using your solution and draw a square around the number of outfits
2. Write down your justifications/proof, so that you can share, explain it and convince other students.

IN YOUR JOURNAL - WHEN YOU HAVE FINISHED

• Think about what you have done today and write down anything interesting, new or surprising that you learnt.

• Did you change your mind about anything?
  • What did you used to think?
  • What do you think now?