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10s place
1s place

- The number 239 is equal to (2 × 100) + (3 × 10) + (9 × 1). You could write it in Snap! like this to show how base 10 works:
+ The number 239 is equal to (2 × 100) + (3 × 10) + (9 × 1). You could write it in Snap! like this:
((2 × 100) + (3 × 10)) + (9 × 1) reporting 239 @@ -90,7 +90,7 @@

Numbers Systems for Humans vs. Machines

: Binary Numerals

A binary numeral is part of the base 2 system.

-

In base 2, there are twp digits (0-1), and each place is worth twice times as much as the place to its right.

+

In base 2, there are two digits (0-1), and each place is worth twice times as much as the place to its right.

For example, consider the binary numeral 1010...

@@ -117,20 +117,20 @@

Numbers Systems for Humans vs. Machines

place values in decimal 3761: 3 1000's 7 100's 6 10's 1 1's - In base 10 notation, each place value represents a power of ten: the units place (100 = 1), the tens place (101 = 10), the hundreds place (102 = 100), the thousands place (103 = 1000), etc. So, for example:

-

3761   =   3 × 103  +  7 × 102  +  6 × 101  +  1 × 100 + In base 10 notation, each place value represents a power of ten: the units place (100 = 1), the tens place (101 = 10), the hundreds place (102 = 100), the thousands place (103 = 1000), etc. So, for example: +

+

3761   =   3 × 103  +  7 × 102  +  6 × 101  +  1 × 100

place values in binary 10010: 1 16's 0 8's 0 4's 1 2's 0 1's Base 2 uses the same idea but with powers of two instead of powers of ten. Binary place values represent the units place (20 = 1), the twos place (21 = 2), the fours place (22 = 4), the eights place (23 = 8), the sixteens place (24 = 16), etc. So, for example:

100102   =   1 × 24  +  0 × 23  +  0 × 22  +  1 × 21  +  0 × 20   =   16  +  2   =   1810

- -
+
I think the above "reading" exercise should include a few more numbers and the below ITIT needs more support for writing in binary. --MF, 9/22/21
  1. Try writing a number in binary and see if a friend can convert back to your original number. If they have trouble, go through both calculations (yours and theirs) together. If they succeed in finding your original number, try a bigger number!
    2. diff --git a/middle-school/student-pages/U1/L5/02-bits-electricity.html b/middle-school/student-pages/U1/L5/02-bits-electricity.html index 864edf62b1..fb1083b42e 100644 --- a/middle-school/student-pages/U1/L5/02-bits-electricity.html +++ b/middle-school/student-pages/U1/L5/02-bits-electricity.html @@ -8,6 +8,8 @@

    Bits and Electricity

    +
    In the future, Dan would like us to reconsider using arrows at all, the ordering of inputs and outputs in title text, and the placement of the input slot. --MF, 9/21/21
    +
    In this activity, you will use Snap! to convert to binary and learn how data is stored in a computer.

    Storing Numbers in Bits

    diff --git a/middle-school/student-pages/U1/L5/03-hex-rgb-colors.html b/middle-school/student-pages/U1/L5/03-hex-rgb-colors.html index 3c3aa0f835..ae9e4b661b 100644 --- a/middle-school/student-pages/U1/L5/03-hex-rgb-colors.html +++ b/middle-school/student-pages/U1/L5/03-hex-rgb-colors.html @@ -3,78 +3,25 @@ - Unit 1 Lab 5: Storing and Securing Data, Activity 5 + + + + Unit 1 Lab 5: Storing and Securing Data, Activity 3

    Hexadecimal Numerals and RGB Colors

    -
    In this activity, you
    - -

    Another Number System Used with Computers

    - -

    Typing long strings of ones and zeros is inconvenient and prone to error. A more efficient method is to use hexadecimal (base 16). One hex digit represents any whole number between 0 an 15. So eight digits of binary can be translated into two digits of hexadecimal, which is much easier and much less error-prone for humans.

    -
    Mary should fix up the CSS in these tables some day. --MF, 12/18/17
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    Eight bits in base two...
    2726252423222120
    128s place64s place32s place16s placeeights placefours placetwos placeones place
    ...is two digits in base 16.
    161160
    sixteens placeones place

    - - - - - - - - - - - - - - - - - - -
    For example: 12110 = 011110012 = 7916
    01111001
    79
    - - -

    +

    In this activity, you will learn another number system used with computers that is commonly used for colors.
    + +

    An Easier Computer Number System to Type

    +
    The prefix hexa- means "six" like the word hexagon (a polygon with 6 sides), and since decimal is a base 10 system, hexadecimal is a base 16 system.
    +

    You've learned about decimal numerals (the base 10 system with ten digits, 0-9, that uses powers of ten for place values) and binary numerals (the base 2 system with two digits, 0 and 1, that uses powers of two for place values).

    +

    Another common number system used with computers is hexadecimal...

    + +
    : Hexadecimal Numerals
    - Place value notation uses only one digit in each place. We need to represent 0 through 15, and we have digits for 0-9, so we choose A-F for the remaining values: - + The letters A-F are used for the values 10-15: +
    @@ -93,357 +40,108 @@

    Another Number System Used with Computers

    10 11
    - In base 16, there are sixteen digits (0-9 and A-F), and each place is worth sixteen times the place to its right. One hex digit has 16 possible values, the equivalent of four binary digits (bits).
    - place values in hexadecimal 3B7: 3 256's 11 16's 7 1's

    - -
    Mary, you reduced this katex with a style tag (not proper CSS) because you couldn't figure out how to make it work with CSS. Fix this later. --MF, 12/18/17
    -

    This stands for 3 \times 256 + 11\times 16 +7\times 1 or 951.

    - - - -
    -
      -
    1. - Talk with Your Partner - - Watch this Hexadecimal and Binary Timer Snap! program run. The top row counts in binary, the middle in decimal, the bottom in hex. Write a description of the hex counter's behavior.
      - Hexadecimal timer
      2. -
    +

    A hexadecimal numeral is part of the base 16 system.

    +

    In base 16, there are sixteen digits (0-9 and A-F), and each place is worth sixteen times as much as the place to its right.

    +
    +

    For example, consider the hexadecimal numeral 2D9...

    +
    +
    +
    2
    +
    D
    +
    9
    +
    256s place
    +
    16s place
    +
    1s place
    +

    + We can figure out the decimal equivalent by adding up the 2 two-hundred-fifty-sixes, the D (that is, 13) sixteens, and the 9 ones: (2 × 256) + (13 × 16) + (9 × 1) = 729. + You could write it in Snap! like this:
    + (((2 × 256) + (13 × 16)) + (9 × 1) reporting 729 +
    +
    -

    Reading Hexadecimal

    -
    -

    - - Base 16 uses powers of sixteen instead of powers of two or ten. Place values in hexadecimal represent the units place (160 = 1), the sixteens place (161 = 16), the two hundred fifty-sixes place (162 = 256), the four thousand ninety-sixes place (163 = 4096), etc. So, for example: -

    -

    3B16   =   3 × 161  +  11 × 160   =   48  +  11   =   5910

    -
    - - - -
    -

    To translate from hexadecimal (for example, 7B316) to base 10, first, write the digits on paper. Then write out the hexadecimal place values: start at the right with 1, then write 16 in the next place to the left, then write 256 (which is 162), and so on. Each new place will be worth 16 times the one to its right.

    -
    - Remember: A-F cover the digits after 9: - - - - - - - - - - - - - - - - - -
    101112131415
    ABCDEF
    -
    - - - - - - - - - - - - - - -
    7B3
    256161
    - right-to-left arrow -
    -

    So, 7B316 = (7 × 256) + (11 × 16) + (3 × 1) = 1792 + 176 + 3 = 197110.

    -
    -
    -
      -
      - FF16
      - = (15 × 161 + 15 × 160)10
      - = (15 × 16 + 15)10
      - = 25510 -
      -
    1. Translate these hexadecimal numerals into base 10 notation: +
        +
      1. Talk with Your PartnerFind the decimal representation for these hexadecimal numerals:
          -
        1. AF16
          2. -
        2. 5D16
          3. -
        3. 1816
          4. -
        4. 3E816
          5. -
        -
        A numeral such as 11 means eleven in the usual decimal notation, or three if it is a binary numeral, or seventeen in hexadecimal notation. The only way you know that the "18" in part (c) above doesn't mean eighteen is that subscript "16" means hexadecimal.
        -
        2. -
      -
    - - -

    Writing Hexadecimal

    -
    -

    To translate from base 10 (for example, 29910) to base 16, first write out the hexadecimal place values by multiplying by 16 moving left from the units place until you get to a value larger than your number (4096 for this example). Then think, "My number is smaller than 4096, so I leave that place blank. But I can subtract two hundred fifty-six once, so I write a 1 there, and there's 43 left. Now, I can subtract two sixteens, and there's 11 left. And 11 is B in hex."

    - - - - - -
    299
    43
    11
    0
    - - - - - - - - - - - - - - - - -
    - right-to-left arrow -
    4096256161
     12B
    -

    Now, read the number off: 12B16 = 29910.

    -
    - - - -
    -
      -
    1. Translate these decimal numerals to hexadecimal notation: -
        -
      1. 59
        2. -
      2. 144
        3. -
      3. 229
        4. -
      4. 316
        5. +
      5. C0
        6. +
      6. 96
        7. +
      7. 3F
      2. +
      + Need help reading hexadecimal? +
      +

      + place values in hexadecimal 3B7: 3 256's 11 16's 7 1's + Base 16 uses powers of sixteen instead of powers of two or ten. Place values in hexadecimal represent the units place (160 = 1), the sixteens place (161 = 16), the two-hundred-fifty-sixes place (162 = 256), etc. So, for example: +

      +

      3B716   =   3 × 162  +  11 × 161  +  7 × 160   =   768  +  176  +  7   =   95110

      +
      +
    + -

    Notice that the algorithms for converting between binary and decimal are the same as the algorithms for converting between hexadecimal and decimal. These algorithms can be used to convert to and from any base.

    - -
    -
      +

      Hexadecimal vs. Binary

      +

      Computers store information in binary as on and off signals (ones and zeros), but actually typing long strings of ones and zeros is inconvenient and prone to typos. Hexadecimal (also known as "hex") requires less typing and is easier to type correctly.

      +

      Since 16 is a power of 2 (24 = 16), 4 bits fit inside one hex digit. For example, the binary numeral 1101 is (1 × 8) + (1 × 4) + (0 × 2) + (0 × 1) = 13 in decimal or just D in hex.

      + +
      +
      1. - Talk with Your Partner - This algorithm runs into a problem after base 36. What's the problem and what's the solution? -
        2. -
      2. Convert 29910 to base 7.
        3. -
      -
      - -
      In the future, consider moving 8.3.3 and 8.3.4 here as TIF and removing from 8.3. --MF, 12/1/17
      - - -
      BJC page 2 (currently cut):
      - -

      More About Hexadecimal

      -
      -

      BH: SCRAP. Two pages on... hexadecimal??

      -
      - -
      There is commented out content on this page that probably could be removed. --MF, 2/26/18
      - -

      We can pack four bits (binary digits) into one hexadecimal digit because 16 is a power of two (16 = 24). So, a group of four bits represents a value between 0 and 15, and one hex digit also represents values from 0-15 (using 0-9 and A-F). This makes it easier to translate between binary and hex than between other bases.

      -

      Hexadecimal is an abstraction over binary: we use hexadecimal to abbreviate binary in a more readable way.

      -
      -

      You can create a table like this whenever you need one.

      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      binaryhex
      00002016
      00012116
      00102216
      00112316
      01002416
      01012516
      01102616
      01112716
      10002816
      10012916
      10102A16
      10112B16
      11002C16
      11012D16
      11102E16
      11112F16
      -
      -

      Translating between Binary and Hex

      -
      -

      To translate a binary numeral (for example, 11010111012) to hexadecimal, start by splitting it into groups of four bits, from right to left (like this: 11 0101 1101).

      -

      Then determine the value of each group and write the corresponding hex digit (look it up on the table at right).

      -

      For example: 112 = 316, 01012 = 516, and 1101 = D16. So, 11010111012 = 35D16.

      -
      -
      -
        -
      1. Translate these binary numerals to hexadecimal notation: -
          -
        1. 1110112
          2. -
        2. 11011112
          3. -
        3. 101100012
          4. -
        + Watch this counter. The top row shows binary, the middle shows decimal, and the bottom shows hex.
        + Hexadecimal timer
      -
      - +
    -
    -

    To translate a hex numeral (like 4E116) to binary, write each hex digit as a group of four bits (including any leading zeros).

    -

    For example: 416 = 01002, E16 = 11102, and 116 = 00012. So, 4E116 = 0100111000012 or just 100111000012 because we can drop the leading zero once the digits are all in their places.

    -
    -
    -
    In practice, you rarely change number bases by hand, except of course on the AP exam. Once you understand the basic principles of these representations, it's perfectly fine to use a Binary to Decimal to Hexadecimal Converter.
    -
      -
    1. Translate these hexadecimal numerals to binary notation: +
      +
        +
      1. Talk with Your PartnerWrite a description of the counter's behavior.
        2. +
      2. Find the hexadecimal representation for these decimal numerals:
          -
        1. 1816
          2. -
        2. 5D16
          3. -
        3. F816
          4. +
          2F16, B916, 11216
          +
        4. 47
          5. +
        5. 185
          6. +
        6. 290
      -
      - - - -

      Hexadecimal Colors

      -
      -

      A pixel is a single dot of color on the computer screen. It's short for "picture element."

      -

      Computers have several ways of representing color depending on the purpose. For example, three-color RGB (red, green, blue) is used for screen display, and four-color CMYK (cyan, magenta, yellow, black) is used for printing. On a computer screen, each pixel that makes up a picture is assigned an RGB color code that defined by the intensity of red, green, and blue in that color. These three color intensities each range from 0 to 255 (one byte is used for each of the three colors), which is 00 to FF in hex notation.

      -

      If (R, G, B) = (128, 0, 255), the color is purple: some red and as much blue as possible, but no green at all. If all three colors are as bright as possible (all are 255), we see white; if they are as dark as possible (all are 0), we see black. Instead of writing (255, 255, 255) for white and (128, 0, 255) for purple, we often use hex notation: FFFFFF and 8000FF. And this color is red 255, green 127, and blue 0, which is FF7F00 in hex.

      -
      - Learn more about color codes. -
      -

      Sometimes a fourth number is used to represent the color transparency, like the ghost effect you used in your very first BJC project on Unit 1 Lab 1 Page 3: Make It a Game.

      -

      RGB works well for lights, such as the tiny lights (pixels) in your computer screen, so it is great for computers. But it's not good for printers: no combination of Red, Green and Blue sprayed on paper would quite make black, zero of each would leave the paper white (not black), and artists know that mixing red and green paint does not make yellow (but that's how you make yellow with light: FFFF00). Ink or paint colors are measured in CMYK: Cyan, Magenta, Yellow, and Black. And some colors such as brown and brick-red (darker than pure red) are hard to figure out in RGB units, even for display in lights. Another color system is called HSB, for hue, saturation, brightness.

      -

      Snap!'s system is similar to HSB. "Pen color" is hue (location on the rainbow), and "pen shade" is more or less saturation (zero means black, 100 means full rainbow color).

      -
      -
      - + + +

      Hexadecimal and RGB Colors

      +

      The three color values of RGB pixels each range from 0 to 255 because eight bits are used for each of the three colors and 28 = 256. But in hexadecimal, 162 = 256, so it only takes two hex digits to represent each of the RGB color values (0 to 255 in decimal is 00 to FF in hex).

      +

      As you've seen, if all three color values are as bright as possible, we see white, and if they are as dark as possible, we see black. Instead of writing (255, 255, 255) for white and (0, 0, 0) for black, we often use hex notation: FFFFFF and 000000.

      + +

      Also (128, 0, 255) = 8000FF is the color is purple: some red (128 = 8016) and as much blue as possible (255 = FF16), but no green at all (0 = 0016). And this color is red 255, green 127, and blue 0, which is FF7F00 in hex.

      -
        +
        1. Represent these colors in hex notation:
            -
          1. red 0, green 149, and blue 235
            2. -
          2. red 128, green 90, and blue 0
            3. -
          3. red 163, green 0, and blue 84
            4. +
          4. (10,120,255)
            5. +
          5. (220, 10, 220)
            6. +
          6. (60, 255, 60)
          2. -
        2. Predict what this RGB color will look like based on its values: red 145, green 0, blue 226.
          3. -
        3. Predict what this hex RGB color will look like: 04FF61.
          4. -
        4. Another way to represent colors is by their names. For example, the color 4B0082 is called Indigo and the color 8B4513 is called SaddleBrown. Compare these two representations (hex RGB codes vs. color names) in terms of: space required, ease of understanding, and ease of use.
          5. -
        5. Why do we use binary, decimal, and hexadecimal? Why not just one?
          6. -
        6. In earlier units, we used abstraction to describe creating custom blocks and abstract data types. Here, we use abstraction to talk about hexadecimal vs. binary. How can abstraction describe these very different things? What do these things have in common?
      -
        -
      1. Explore this RGB/HEX color converter: http://hex.colorrrs.com/
        2. -
      2. Play with this Interactive Color Wheel
        3. -
      3. Read more about RGB colors and hexadecimal notation.
        4. -
      -
      -
      They have not seen the Libraries page referenced in this TIF. --MF, 6/13/19
      -
      -
        -
      1. -
        As in all Snap! blocks, the numeric input slots take values represented in base 10 (not hex). Each color component has a value between 0 and 255.
        - Load the Snap! RGB library into one of your projects to explore RGB color further. In the File menu, choose "Libraries..." and then choose "Set RGB or HSV pen color" as shown on the Libraries page.
        - This will give you a new "Pen" block: - set pen color to r: (255) g: (0) b: (0)
        - Snap! 'Import library' dialog box highlighting 'Set RGB or HSV pen color' library -
        2. +
          +
        1. + Learn more about hex notation for RGB colors: + +
      - -
      In this activity, you
      +
      In this activity, you learned about hexadecimal notation, how it relates to binary, and how it is used to represent RGB color values.
      diff --git a/middle-school/student-pages/U1/L5/04-secret-messages.html b/middle-school/student-pages/U1/L5/04-secret-messages.html index 54c461f622..5f702b6b91 100644 --- a/middle-school/student-pages/U1/L5/04-secret-messages.html +++ b/middle-school/student-pages/U1/L5/04-secret-messages.html @@ -3,7 +3,7 @@ - Unit 1 Lab 5: Storing and Securing Data, Activity 3 + Unit 1 Lab 5: Storing and Securing Data, Activity 4 diff --git a/middle-school/student-pages/U1/L5/05-caesar-cipher.html b/middle-school/student-pages/U1/L5/05-caesar-cipher.html index 296f6c74be..28fd20d9f2 100644 --- a/middle-school/student-pages/U1/L5/05-caesar-cipher.html +++ b/middle-school/student-pages/U1/L5/05-caesar-cipher.html @@ -3,15 +3,17 @@ - Unit 1 Lab 5: Storing and Securing Data, Activity 4 + Unit 1 Lab 5: Storing and Securing Data, Activity 5

      Programming a Caesar Cipher

      +
      +
      -
        +
        1. Talk with Your Partner Describe an algorithm for decoding a message that was created with a shift cipher.
      diff --git a/middle-school/teaching-guide/U1/05-storing-securing-data.html b/middle-school/teaching-guide/U1/05-storing-securing-data.html index 0e1fede3f8..e7b8e572be 100644 --- a/middle-school/teaching-guide/U1/05-storing-securing-data.html +++ b/middle-school/teaching-guide/U1/05-storing-securing-data.html @@ -18,9 +18,9 @@

      Pacing

    2. Daily Activity: Computing in the News 5–15 minutes each day
    3. Activity 1: Numbers and Computers: 10–65 minutes
    4. Activity 2: Bits and Electricity: 15–50 minutes
      5. +
    5. (Optional) Activity 3: Hexadecimal Numerals and RGB Colors: 20–55 minutes
      6. Additional Lab 5 activities coming soon....
      -
    6. Activity 3: Hexadecimal Numerals and RGB Colors: 30–60 minutes
    7. Activity 4: Secret Messages: 30–60 minutes
    8. Activity 5: Programming a Caesar Cipher: 30–60 minutes
      9. @@ -134,6 +134,13 @@

      Activity 2: Bits and Electricity. 

    9. Tips:
        +
      • + For additional resources on binary... + +
      • If you have time after students answer the questions on the student activity page in their pairs, you may wish to discuss the various "Talk with Your Partner" questions as a class:
          @@ -155,6 +162,7 @@

          Activity 2: Bits and Electricity. 

        • +
      • Be mindful not to say "binary number" or "decimal number." Binary and decimal are notations, and the instances of those notations are numerals, not numbers. It's the same number no matter how it's represented.
    10. @@ -253,21 +261,86 @@

      Activity 2: Bits and Electricity. 

    -
    Additional Lab 5 activities coming soon....
    -
    - Links to the unfinished student pages...
      -
    • Hexadecimal Numerals and RGB Colors (mostly just a copy of CSP version so far; will be optional here)
      • -
    • Secret Messages (mostly finished for middle school)
      • -
    • Programming a Caesar Cipher (mostly just a copy of CSP version so far)
      • + + ↑ Back to Top +

      Activity 3: Hexadecimal Numerals and RGB Colors. 

      +
      +
        +
      • Materials: Hexadecimal Numerals and RGB Colors
        • +
      • + Prepare: +
          +
        • This activity is optional, review it and decide whether you will use it with your students.
          • +
        • If you are not familiar with hexadecimal carefully read and work through the exercises on the student activity page before class.
          • +
        +
        • +
      • + Learning Goals: +
          +
        • Understand the basics of reading hexadecimal numerals.
          • +
        • Appreciate how RGB colors are written with hexadecimal.
          • +
        +
        • +
      • + Activity Plan: +
          +
        • An Easier Computer Number System to Type: Building on their understanding of binary representation students learn about hexadecimal number representation and convert several hex numbers to decimal. (10–20 minutes)
          • +
        • Hexadecimal vs. Binary. Students learn about the relationship between binary and hex and watch an animation of a counter counting in binary, decimal, and hexadecimal. Optionally, you may choose to have students write out their observations about the counter and/or translate decimal into hex. (5–20 minutes)
          • +
        • Hexadecimal and RGB Colors. Students learn about RGB color values can be represented with hex and translate several RGB colors into hex. (5–15 minutes)
          • + +
        +
        • +
      • + Tips: + +
        • +
      • + Standards: +
          +
        • 2-DA-07: Represent data using multiple encoding schemes.
          • +
        +
        • +
      • + Solutions +
        +
          +
        • + Find the decimal representation for these hexadecimal numerals: +
            +
          • C016 = 192
            • +
          • 9616 = 150
            • +
          • 3F16 = 63
            • +
          +
          • +
        • + Find the hexadecimal representation for these decimal numerals: +
            +
          • 47 = 2F16
            • +
          • 185 = B916
            • +
          • 290 = 11216
            • +
          +
          • +
        • Represent these colors in hex notation: +
            +
          1. (10,120,255)= 0A78FF
            2. +
          2. (220, 10, 220) = DC0ADC
            3. +
          3. (60, 255, 60) = 3CFF3C
            4. +
          +
          • +
        +
        +
      - - - - +
    + + + ↑ Back to Top +

    Activity 5: Programming a Caesar Cipher. 

    +
    +
      +
    • Materials: Programming a Caesar Cipher student page
      • +
    • + Prepare: +
        +
      • +
      +
      • +
    • + Learning Goals: +
        +
      • +
      +
      • +
    • + Activity Plan: +
        +
      • +
      +
      • +
    • + Tips: +
        +
      • +
      +
      • +
    • + Standards: +
        +
      • 2-NI-06: Apply multiple methods of encryption to model the secure transmission of information.
        • +
      +
      • +
    +
    +
    + RGB pixel, red: (85) green: (170) blue: (255) + +
  2. + A picture of a list means that the input should be a list, such as: + + draw pixel 'list input slot' +
    3. +
  3. + A long rectangular slot means that the input should be a text, such as: + + fancy () +
    4. +
  4. + A short rectangular slot slot means that the input can be anything, such as: + join +
    5. + + While binary of decimal (), decimal of binary (), and hex of binary () all take digits 0-9 as input (or just 0 and 1), the binary of hex () block takes numbers that can include letters as digits, so that block needs an a more flexible slot for the hex input to allow for numbers that might include letters as digits. +

    +
- -

Hexadecimal and RGB Colors

The three color values of RGB pixels each range from 0 to 255 because eight bits are used for each of the three colors and 28 = 256. But in hexadecimal, 162 = 256, so it only takes two hex digits to represent each of the RGB color values (0 to 255 in decimal is 00 to FF in hex).

From 25eccc0938731ed739654d31df217febf3967778 Mon Sep 17 00:00:00 2001 From: Mary Fries Date: Sat, 25 Sep 2021 18:31:45 -0400 Subject: [PATCH 6/8] 1.5.5 - in progress --- .../lab05/decoding-i-love-bjc-reporting.png | Bin 0 -> 18027 bytes ...sage-i-love-bjc-shifted-by-3-reporting.png | Bin 0 -> 18175 bytes ...code(unicode-BJC+3)as-letter-reporting.png | Bin 0 -> 30586 bytes .../img/U1/lab05/unicode-66-reporting.png | Bin 0 -> 11990 bytes .../img/U1/lab05/unicode-B-reporting.png | Bin 0 -> 9893 bytes .../img/U1/lab05/unicode-BJC+3-reporting.png | Bin 0 -> 25673 bytes .../img/U1/lab05/unicode-BJC-reporting.png | Bin 0 -> 22264 bytes .../student-pages/U1/L5/05-caesar-cipher.html | 189 ++++++++++++++---- .../U1/05-storing-securing-data.html | 2 +- 9 files changed, 155 insertions(+), 36 deletions(-) create mode 100644 middle-school/img/U1/lab05/decoding-i-love-bjc-reporting.png create mode 100644 middle-school/img/U1/lab05/message-i-love-bjc-shifted-by-3-reporting.png create mode 100644 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zB5U~LwKpOeYx=l{{3#I6p)p=b%m`r$6G@V>+cYFu>W~tVru$JP4O5EpblrP`qY(B}sxhAcn zVA~EENoUHZ*&!VqBt_P!k8S(2&(>#Ip0ocfrBfrGb6urC>a-f9a-bziP*7A-e2vhukd4c9vHKoq}h9f zu!=O=Tv9k5V!5G<<*G-_?=w`};IB7`g?6AXBAG$~`mXEKrG+ZZUh)3{ileVmzMwT} P00000NkvXXu0mjf%>Ixp literal 0 HcmV?d00001 diff --git a/middle-school/student-pages/U1/L5/05-caesar-cipher.html b/middle-school/student-pages/U1/L5/05-caesar-cipher.html index 61ba242e41..962f35ed19 100644 --- a/middle-school/student-pages/U1/L5/05-caesar-cipher.html +++ b/middle-school/student-pages/U1/L5/05-caesar-cipher.html @@ -7,54 +7,155 @@ -

Programming a Caesar Cipher

-
In this activity, you will
- +

Programming a Caesar Cipher

+ In this activity, you will write a program to encode and decode messages using a Caesar (shift) cipher.
+ message ('I love BJC!') shifted by (3) reporting 'L#oryh#EMF$' + message ('L#oryh#EMF$') shifted by (-3) reporting 'I love BJC!' +
+ + +

Exploring Unicode

+

To shift the letters in a message, you need a way to add the shift value to each letter. Computers store characters (letters, digits, symbols, etc.) as numbers called Unicode. So you can change the characters of a message into Unicode, add to make the shift, and then change the Unicode back into letters.

+

+ This table shows the Unicode for some familiar characters:
Unicode Table

The unicode of block reports the number that is used for a particular character:
- unicode of (a) reporting '97'
+ unicode of (B) reporting '66' +

+

The unicode as letter block reports the character that a given Unicode number represents:
- unicode (65) as letter reporting 'A' + unicode (66) as letter reporting 'B'

    -
  1. Experiment with the unicode of and unicode as letter blocks. Try changing a word into Unicode, telling the Unicode to a friend, and then having them change it back into a word.
    2. +
  2. Open this Caesar Cipher project, and save it to your account.
    3. +
  3. Experiment with the unicode of and unicode as letter blocks. Write down the Unicode numbers for one word, give them to another student, and translate someone else's Unicode back into a word.
    4. +
+
+ + +

Working with Lists

+

+ If you type more than one character into the input slot of unicode of, it will report a list of the Unicode characters of those letters:
+ unicode of (BJC) reporting the list {66, 74, 67} +

+

+ You can shift all the letters in that list at once by using the list as the input to the () + () block:
+ (unicode of (BJC)) + (3) reporting the list {69, 77, 70} +

+

+ The unicode as letter block can also accept a list as input. It will report a list of the characters for those Unicode numbers:
+ unicode (unicode of (BJC) + 3) as letter reporting the list {B, J, C} + +

+
+
    +
  1. Use the Unicode blocks to encode and decode a word: +
      +
    1. Type a whole word into unicode of.
      2. +
    2. Use the () + () block to shift the values.
      3. +
    3. Use unicode as letter to translate the shifted Unicode back into characters.
      4. +
    4. Then give your encoded message to another student. If they want a challenge, don't give them the shift value. If they don't want that challenge today, give them your shift value too.
      5. +
    5. Use the same Snap! blocks to decode someone else's encoded message. + +
      6. +
    +
    2. +
  2. + Talk with Your Partner + Discuss how you decoded the message you received, and listen to how other people decoded their message. +
      +
    • What parts of the process were the same and what parts were different?
      • +
    • What could you need to change to make a general process that will work for all mesages and shift values?
      • +
    +
    3. +
  3. +
    You learned how to create a new block that takes inputs on the Refining the Story page of the Super Short Stories lab.
    + Create a block that takes a message and a shift value as input and reports the same message shifted by that value.
    + message () shifted by () +
    +

    Click for a reminder about how to create a new block.

    +
    +

    +

    +
    +

    Click for a reminder about how to create and use local variables.

    +
    +

    +

    +
    +
    +
    4. +
  4. Test it your block by encoding and decoding a few messages, and fix any problems.
    5. +
+
+

Joining Elements of a List

+

So, you can use unicode of to change a string of text into Unicode, and you can use unicode of letter to change a list of Unicode back into a list of characters, but you don't want your program to output a list of characters, you want it to output the translated message as a string of text.

+ + +
You used join in the Refining the Story activity of the Super Short Stories Lab.
+

+ You have used join to join text or characters into a single string of text.
+ join (random animal) (s) +

+

The join block looks like it only takes one or more individual items as input, but it can also take a list as input and join all the elements. + + ; you could type them in, or you could drag in blocks that report things you want to join together. But unicode as letter reports a single list with all the characters you'll want to join inside. So you need a way to combine all the characters in the list using join...

+ + +

How to Combine Elements of a List

+

You can use combine 'list input slot' using 'reporter input slot' to apply the join function to all the elements in a list.

+ + +

The combine 'list input slot' using 'reporter input slot' block takes two inputs: a list and an operation with two inputs, and it reports the result of combining all the elements in the input list using the input operation. For example, the expression below reports: 0 + 1 + 2.
+ combine (list {0, 1, 2}) with (()+()) reporting 3 +

+ +
+

You choose the operation, and combine performs that operation by combining all the items in the input list and then reports the result.

+

Notice that the function used to combine the list items always has two blank input slots. The keep block only needs one blank in its input function, but with combine, two are required.

+
+
+

Combine is a higher order function; it is a function that takes a function as input. You've seen another higher order function already: keep (in Unit 2 Lab 3).

+

+ Unlike keep, the combine function is only used with a few input functions. + Which functions? +

+

+ Combine is mostly used with only these functions:
+ + ×
+ and or
+ join join words
+ and the maximum of () () and minimum of () () blocks you've just written yourself. +

+

+ Why so few? +

+ The function has to be associative, meaning that it can't matter what order you group the items in. For example, addition is associative: (7 + 8) + 1 is the same as 7 + (8 + 1) (work it out yourself), but subtraction is not: (7 − 8) − 1 is different from 7 − (8 − 1). + So expressions like combine with (-) items of (list 7 8 1) would be ambiguous. +
+

+
+

+
+ +

Putting It All Together

+
+
    +
  1. Try changing a word into Unicode, telling the Unicode to a friend, and then having them change it back into a word.
  2. On paper, use a shift cipher to encrypt and decrypt a short message to get a feel for how this cipher works.
  3. Write a shift cipher procedure that works for any input text and any shift value.
    4. @@ -123,7 +224,25 @@

    Programming a Caesar Cipher

+
+
    +
  1. Talk with Your Partner Describe an algorithm for decoding a message that was created with a shift cipher.
    2. +
+
+
+ Add to TG +
    +
  1. + A simple substitution cipher is relatively easy to break because some letters are used more frequently than others. + +
    2. +
  2. Read "Secret Keys and One-Time Pads" (Blown to Bits pages 169-173) to learn about Vigenère ciphers and methods used during World War 2 and the Cold War.
    3. +
+
diff --git a/middle-school/teaching-guide/U1/05-storing-securing-data.html b/middle-school/teaching-guide/U1/05-storing-securing-data.html index 2814cdb213..e94760a7dc 100644 --- a/middle-school/teaching-guide/U1/05-storing-securing-data.html +++ b/middle-school/teaching-guide/U1/05-storing-securing-data.html @@ -395,7 +395,7 @@

Activity 5: Programming a Caesar Cipher.  Prepare:
  • From ece1adb1afe9dfcddd586d9b8f38b1a11a51a5fd Mon Sep 17 00:00:00 2001 From: Mary Fries Date: Sat, 25 Sep 2021 18:31:59 -0400 Subject: [PATCH 7/8] 1.3.2 - trivial edit --- middle-school/student-pages/U1/L3/02-visualizing-data.html | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/middle-school/student-pages/U1/L3/02-visualizing-data.html b/middle-school/student-pages/U1/L3/02-visualizing-data.html index efbca614dd..c44ac07821 100644 --- a/middle-school/student-pages/U1/L3/02-visualizing-data.html +++ b/middle-school/student-pages/U1/L3/02-visualizing-data.html @@ -18,7 +18,7 @@

    Visualizing Data

    Digitizing Your Data

      -
    1. Open this project in Snap! and save it to your account. (You'll need to log in if you aren't logged in already.)
      2. +
    2. Open this Visualizing Data project in Snap!, and save it to your account. (You'll need to log in if you aren't logged in already.)
    From a2613e93f45cf66a94e8b4121b2e9cd147908129 Mon Sep 17 00:00:00 2001 From: Mary Fries Date: Sun, 26 Sep 2021 23:43:31 -0400 Subject: [PATCH 8/8] 1.5.1 - XML updates --- middle-school/prog/numbers-bits-electricity.xml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/middle-school/prog/numbers-bits-electricity.xml b/middle-school/prog/numbers-bits-electricity.xml index 92e79bae0e..c4f9a685e8 100644 --- a/middle-school/prog/numbers-bits-electricity.xml +++ b/middle-school/prog/numbers-bits-electricity.xml @@ -1 +1 @@ -data:image/png;base64,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 forward turn turnLeft setHeading doFaceTowards gotoXY doGotoObject doGlide changeXPosition setXPosition changeYPosition setYPosition bounceOffEdge xPosition yPosition direction doSwitchToCostume doWearNextCostume getCostumeIdx reportGetImageAttribute reportNewCostume reportNewCostumeStretched doSayFor bubble doThinkFor doThink changeEffect setEffect getEffect clearEffects changeScale setScale getScale show hide reportShown goToLayer goBack doScreenshot reportCostumes alert log playSound doPlaySoundUntilDone doPlaySoundAtRate doStopAllSounds reportGetSoundAttribute reportNewSoundFromSamples doRest doPlayNote doPlayFrequency doSetInstrument doChangeTempo doSetTempo getTempo changeVolume setVolume getVolume changePan setPan getPan playFreq stopFreq reportSounds clear down up getPenDown setColor setPenHSVA changePenHSVA getPenAttribute setBackgroundColor setBackgroundHSVA changeBackgroundHSVA changeSize setSize doStamp floodFill write reportPenTrailsAsCostume reportPentrailsAsSVG doPasteOn doCutFrom receiveInteraction receiveGo receiveKey receiveMessage receiveCondition doBroadcast doBroadcastAndWait getLastMessage doSend doWait doWaitUntil doForever doRepeat doUntil doFor doIf doIfElse reportIfElse doStopThis doRun fork evaluate doReport doCallCC reportCallCC doTellTo reportAskFor receiveOnClone createClone newClone removeClone doPauseAll doWarp reportTouchingObject reportTouchingColor reportColorIsTouchingColor reportAspect reportStackSize reportFrameCount reportYieldCount reportThreadCount doAsk reportLastAnswer getLastAnswer reportMouseX reportMouseY reportMouseDown reportKeyPressed reportRelationTo doResetTimer reportTimer getTimer reportAttributeOf reportObject reportURL doSetGlobalFlag reportGlobalFlag reportDate reportGet reportAudio doSetVideoTransparency reportVideo reportLessThan reportGreaterThan reportEquals reportAnd reportOr reportNot reportBoolean reportJoinWords reportTextSplit reportLetter reportStringSize reportUnicode reportUnicodeAsLetter reportIsA reportIsIdentical reportJSFunction reportRandom doSetVar doChangeVar doShowVar doHideVar doDeleteAttr doDeclareVariables reportNewList reportNumbers reportCONS reportListItem reportCDR reportListAttribute reportListIndex reportConcatenatedLists reportReshape reportListContainsItem reportListIsEmpty doForEach reportMap reportKeep reportFindFirst reportCombine doAddToList doDeleteFromList doInsertInList doReplaceInList receiveOnScene doSwitchToScene reifyScript reifyReporter reifyPredicate
    Takes a text string as input, and reports a new text string containing all but the last letter of the input.
    resulti1    Takes a text string as input, and reports the last character in the string.
    0
    Reports the portion of the first input (string) starting at the position given by the second input (counting from 1, like LETTER n OF) and ending at the position given by the third input (also counting from 1). If the third input is empty, reports the portion from the first position to the end of the string. If a position number is negative, counts from the end backward, so -1 is the last character, -2 is the next to last, etc.
    pt:o texto de _ entre as posições _ e _ , inclusive
    55
    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changeYPosition setYPosition bounceOffEdge xPosition yPosition direction doSwitchToCostume doWearNextCostume getCostumeIdx reportGetImageAttribute reportNewCostume reportNewCostumeStretched doSayFor bubble doThinkFor doThink changeEffect setEffect getEffect clearEffects changeScale setScale getScale show hide reportShown goToLayer goBack doScreenshot reportCostumes alert log playSound doPlaySoundUntilDone doPlaySoundAtRate doStopAllSounds reportGetSoundAttribute reportNewSoundFromSamples doRest doPlayNote doPlayFrequency doSetInstrument doChangeTempo doSetTempo getTempo changeVolume setVolume getVolume changePan setPan getPan playFreq stopFreq reportSounds clear down up getPenDown setColor setPenHSVA changePenHSVA getPenAttribute setBackgroundColor setBackgroundHSVA changeBackgroundHSVA changeSize setSize doStamp floodFill write reportPenTrailsAsCostume reportPentrailsAsSVG doPasteOn doCutFrom receiveInteraction receiveGo receiveKey receiveMessage receiveCondition doBroadcast doBroadcastAndWait getLastMessage doSend doWait doWaitUntil doForever doRepeat doUntil doFor doIf doIfElse reportIfElse doStopThis doRun fork evaluate doReport doCallCC reportCallCC doTellTo reportAskFor receiveOnClone createClone newClone removeClone doPauseAll doWarp reportTouchingObject reportTouchingColor reportColorIsTouchingColor reportAspect reportStackSize reportFrameCount reportYieldCount reportThreadCount doAsk reportLastAnswer getLastAnswer reportMouseX reportMouseY reportMouseDown reportKeyPressed reportRelationTo doResetTimer reportTimer getTimer reportAttributeOf reportObject reportURL doSetGlobalFlag reportGlobalFlag reportDate reportGet reportAudio doSetVideoTransparency reportVideo reportLessThan reportGreaterThan reportEquals reportAnd reportOr reportNot reportBoolean reportJoinWords reportTextSplit reportLetter reportStringSize reportUnicode reportUnicodeAsLetter reportIsA reportIsIdentical reportJSFunction reportRandom doSetVar doChangeVar doShowVar doHideVar doDeleteAttr doDeclareVariables reportNewList reportNumbers reportCONS reportListItem reportCDR reportListAttribute reportListIndex reportConcatenatedLists reportReshape reportListContainsItem reportListIsEmpty doForEach reportMap reportKeep reportFindFirst reportCombine doAddToList doDeleteFromList doInsertInList doReplaceInList receiveOnScene doSwitchToScene reifyScript reifyReporter reifyPredicate
    Takes a text string as input, and reports a new text string containing all but the last letter of the input.
    resulti1    Takes a text string as input, and reports the last character in the string.
    0
    Reports the portion of the first input (string) starting at the position given by the second input (counting from 1, like LETTER n OF) and ending at the position given by the third input (also counting from 1). If the third input is empty, reports the portion from the first position to the end of the string. If a position number is negative, counts from the end backward, so -1 is the last character, -2 is the next to last, etc.
    pt:o texto de _ entre as posições _ e _ , inclusive
    55
    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KBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECByxcQFpoRMBzwAAAABJRU5ErkJggg== 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