Monday, December 12, 2016

Holidays Dec. 12, 2016



Problem of the Week (Dec. 12, 2016)
Holidays

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: Stars: Stars are an important symbol in many cultures, religions, and holidays. Use a ruler so you get nice straight sides. Draw a star that has 5 points, a star that has 6 points, and a star that has 8 points. Color and decorate them.

Level 2: Lights: A string of lights is 8 feet long and it has 100 lights on it. If you need to decorate a space 24 feet long, how many strings of lights will you need? How many total lights will be shining once you plug in the strings of light?
Level 3: Presents: Pretend you plan to give your friend a present in a box that is a 10 inch cube. Calculate how much wrapping paper you will need (for simplicity you can assume the paper does not need to overlap itself). Don’t forget to tell me the units of measurement.  Hint: You will be calculating the surface area of the box.  Bonus: How much more paper will you need if the wrapping paper overlaps 1 inch at each seam?




Robots Nov. 29, 2016


Problem of the Week (Nov. 29, 2016)
Robots

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 Legos:  On December 4th, some Middle School students will be competing in a Lego Robotics competition. Their robots are built using basic Lego bricks. A 2x4 Lego brick has the dimensions listed below (you can choose whether you use inches or centimeters):

Inches
Centimeters
Length
1  1/4
32
Width
5/8
16

If you want to build a rectangular platform that is 5 bricks long and 5 bricks wide, what will be the overall dimensions (length and width of the platform? Bonus:  Build an example platform, take a picture, and print the picture and staple it on here.

Level 2 Directions: Robots need instructions in the correct order to be able to move around. Below is a maze for a robot to go through. Can you write the instructions the robot needs to go through the maze starting at the green square (at top) and ending at the red square (at bottom)? Remember left and right are based on the direction the robot is facing, and it can only move forward (not sideways). You can only use the following 3 commands:
Forward 1 square, Turn right 90 degrees, Turn left 90 degrees
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Level 3  Binary Communication:  You normally count in base 10: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. When you go up one from 9, you need to start a new place value: 10 and you start the ones place value counting up again: 11, 12, 13, etc.. You do it everyday and don’t even think about it. However, computers don’t use base 10, they use base 2. So here is what that looks like: 0, 1, 10, 11, 100, 101, 110, 111. Do you see the pattern? Use the chart below to fill in the next base 2 numbers.


Base 10 number
Base 2 equivalent
1
1
2
10
3
11
4
100
5
101
6
110
7
111
8

9

10

11

12

13

14

15

16





Thanksgiving Nov. 14, 2016


Problem of the Week (Nov. 14, 2016)
Thanksgiving

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 Turkey fun facts: Wild turkeys have become a common site around the Twin Cities. Have you ever seen one in your yard or neighborhood? I have seen them looking at their own reflection in my glass on my backdoor and roosting in the oak trees in my backyard. Wild turkeys can fly 55 miles per hour. If a turkey flies for 12 minutes, how many miles will it fly?





Level 2 Dates: In the United States, Thanksgiving is celebrated on the 4th Thursday in November. This year it falls on November 24th. There are 365 days in a year. Figure out what date Thanksgiving will be in 2017. Tell me how you figured it out.  Challenge: What date will Thanksgiving be during 2019?







Level 3  Birds of a Feather: Turkeys have 5000-6000 feathers. In a flock of 7 turkeys, how many feathers are there? Your answer should be a range. Challenge: How many feathers would be in a flock that with 150 turkeys?