Today, many mathematicians and mystics would agree. Uses who, what, where, when, why, which, and how questions that cover both literal and interpretive thinking 4. For grades 23, children who can read simple sentences with confidence. There are other curiosities to notice too, such as. Ben franklin and the magic squares stepintoreading, step 4. We want here to look at some of the properties of these squares and to discuss the ways in which they may be constructed. Ben franklin and the magic squares ccg by teaching with. The mathemagic of magic squares steven klee outline what is a magic square.
This engaging title shows how benjamin franklin, inventor, writer and scientist, created a puzzle. My sons name is benjamin, so he was especially interested in learning more about franklin. Due to its large file size, this book may take longer to download. Bored with meetings, inventor benjamin franklin doodles on paper to pass the time. A regular magic square 2 is one where each number in the classical version, each letter appears once in each row, column, and diagonal. In a true magic square, the diagonals also have that same. Henrich in the american mathematical monthly, vol 98, no 6, 1991 that has a very interesting 16x16 magic square created by benjamin franklin. Franklin squares a chapter in the scientic studies of. Magic squares and benjamin franklin mysterious writings. Step into reading ben franklin and the magic squares. Ben franklin and the magic squares stepintoreading, step 4 paperback february 27, 2001 by frank murphy author, richard walz illustrator 4.
Buy a cheap copy of ben franklin and the magic squares. In the book, ben franklin and the magic squares is about the historic life of ben franklin and the inventions he did. Jun 3, 2016 free printable magic squares worksheets for math class, containing 3x3 and 4x4 magic square puzzles. Download it once and read it on your kindle device, pc, phones or tablets. A minihistory of magic squares the first magic squares. Choose from 156 different sets of magic squares flashcards on quizlet.
Step into reading step 4 ben franklin and the magic squares. The second mystery was the incompleteness of these magic squares. The spreadsheet in lotus123 wk4 formate can be downloaded for ease in playing with the properties listed below bens magic square all the rows and columns sum to the number 260, but that is not all. Magic square routines, puzzles and presentations, including one novel contribution by the author which combines origami the crossed box pleat with a magic square, the origami magic square eddie dawes, m. Magic squares may be constructed by using two subsidiary squares which are then added on a cell by cell basis to form the final square. The mathemagic of magic squares university of washington. A picture book of benjamin franklin by david adler in hd duration. One of his many inventions is the magic square, in which columns and rows of numbers, when added together, result in the same sum. It is a typical 3x3 magic square except that the numbers were represented by patterns not numerals. All franklin magic squares with correct main diagonals are pandiagonal magic. Teachers and kids will love finding out about this popular teaching tool that is still used in elementary schools today.
He was a recognized polymath and one of the most influential personalities of his time. Read about ben franklins life and how he created magic math squares. A magic square is a box of nine numbers arranged so that any line of three numbers adds up to the same number, including on the diagonal. Bring a little magic to students math practice with these innovative magic squares worksheets that give students excellent practice in addition, subtraction, multiplication, division, all with a splash of logic and fun for good measure. Number of keys select the number of different printables. History of magic squares mathematics and magic squares constructing magic squares magic circles warmup the 15 game players take turns choosing numbers between 1 and 9, without repeats. Ben franklin and the magic squares stepintoreading. But one of franklins lesser celebrated accomplishments was his amusement in creating magic squares, and even magic circles. Book ben franklin and the magic squares by frank murphy. Ben franklin and the magic squares is a quality informational text for young readers. We introduce a family of magic squares, called linear magic squares, and show that any parallel linear sudoku solution of suf. Throughout the book it shares adding numbers that the magic box has and how numbers line up. Sections options space for short answers in each section.
Use features like bookmarks, note taking and highlighting while reading ben franklin and the magic squares step into reading. Assesses vocabulary, comprehension, and writing skills in a compact, easytouse, uniform format 3. Can be used for a variety of instructional purposes, such as guided reading, literacy centers, and takehome programs 2. Such squares may then be divided into 2 broad classifications. There are certain types of latin squares of interest in dealing with magic. Benjamin franklin, a founding father of the united states, is known to have excelled in multiple studies. Ben franklin and the magic squares by murphy, frank. Most of franklin s squares, however, presented the unique feature of bent diagonals giving the magic sum, instead of straight. Learn about his witty sayings, magnificent inventions and the way he never dozed off in an assembly.
One such example is a method of constructing a pandiagonal magic square of order 8 given later in this chapter. Fuhhi described the lohshu, or scroll of the river loh. I rediscovered an article magic squares and linear algebra by christopher j. Magic squares with a given total many magicians, including the authors of this paper, create magic squares as parts of their shows. Ben franklin and the magic squares step into reading. Ben franklin and the magic squares lesson plan lesson plan. Typically, an audience member is asked for a number say between 30 and 100 and the magician quickly creates a magic square and shows off the many ways that their total is obtained. The paperback of the ben franklin and the magic squares step into reading. Ben franklin and the magic squares by frank murphy. Readers will find franklin s story interesting and his magic squares fascinating. Young scholars create a timeline of ben franklins life using clues within the book ben franklin and the magic squares.
The rows, columns, and the vshaped lines franklin called bent diagonals provide the sum of 260 but it is interesting to note the main diagonals do not add to 260. They all have the compact feature all 2x2 blocks of cells sum to 4m of s. He liked learning about all ben franklins neat experiments and inventions. Similar books to ben franklin and the magic squares step into reading. Benjamin franklin 17061790, a founding father of the united states, is known to have excelled in multiple studies. Learn magic squares with free interactive flashcards. He loves suduko, too, so magic squares really intrigued him.
Ben franklin and the magic squares by frank murphy goodreads. Ben franklin and the magic squares lesson plan scholastic. By using the integers 1, 2, 3 64 we have seen many open complete knight tour magic squares with magic. His friend logan showed him one day a french book of magical squares, an idle game of the last century. A magic square also provides an engaging way to develop mental math skills. Small magic squares are often encountered in early grades as an arithmetic game on square arrays patterns or motifs. Mathematical recreations, juvenile fiction, number. This ben franklin and the magic squares lesson plan lesson plan is suitable for prek 3rd grade. In addition, students might also want to create their own magic squares and then have their classmates solve them. While writing down numbers in a box, ben wonders how the numbers add up in rows and columns.
Being one day in the country at the house of our common friend, the late learned mr. A magic square is a box of nine numbers arranged so that any line of. The earliest known magic square is chinese, recorded around 2800 b. Young readers will enjoy this history lesson with genius ben franklin. A funny, entertaining introduction to ben franklin and his many inventions, including the story of how he created the magic square. There is also an 8x8 magic square from ben franklin, but the 16x16 is really fantastic. Through all his inventions, this book focuses on the magic box. As examples, i compare 4 franklin type order 8 squares. I have recently may 2007 added a page explaining new findings of compact magic squares. Ben franklin and the magic squares is written by frank murphy and illustrated by richard walz. Proofs of some properties of magic squares, as well as some descriptions of methods of constructing magic squares, depend on the use of latin squares. Open library is an open, editable library catalog, building towards a web page for every book ever published. Try using magic squares as a warmup at the beginning of math class or as a math center activity. Ben franklin and the magic squares by frank murphy scholastic.
These magic squares are square grids of numbers 3x3, 4x4, etc. This is the smaller 8x8 magic square of benjamin franklin. Logan, he showed me a folio french book filled with magic squares, wrote, if i forget not, by one m. Ben franklin and the magic squares step into reading kindle edition by murphy, frank, walz, richard. A double even order magic square is one whose order is divisible by 4. Ben franklin and the magic squares step into reading kindle. Mr logan then showed me an old arithmetical book in quarto, wrote, i think, by one. As a consequence, we show that if n has prime factorization p k 1 1 p kt t and q dminfp j.
See all 10 formats and editions hide other formats and editions. This engaging title shows how benjamin franklin, inventor, writer and scientist, created a puzzle called the magic square to keep from being bored while serving as. A magic square is a box of nine numbers arranged so that any line of three numbers adds up to the same number. Also includes benjamin franklin magic square for kids. Ben franklin and the magic squares ebook 97803853746 by frank murphy. The work by the mathematician leonard euler17071783 on latin squares and the recent interest in the number puzzle sudoku by the public have also contributed heavily to interest in magic squares. A popular speaker, murphy is the author of many fun historical fiction books for young readers.