![]() ![]() Note: the line can go past the lower left hand corner if you prefer, this may help when determining your end result. ![]() Step #3: In each individual box, draw a diagonal line from the upper right hand corner to the lower left hand corner like this: Therefore, if the 4 was on the left hand side, the order of the multiplication would be incorrect. We write the 4 on the right hand side of the row so that it lines up with the traditional algorithm that many of us have learned when we were in elementary school. Step #2: Next, draw the box so that it has 2 columns for each of the place values in 61 and 1 row for each place value in 4. Therefore, the number with the smallest number of place values will be the number located on our row and the number 61 will be represented on our columns. The number 61 has 2 place values and the number 4 has only 1 place value. Step #1: In order to determine which number you should place for your rows and which number to place for your columns, it is best to first find the number with the smallest number of place values. Please watch this video up until you hit 2 minutes and 15 seconds.Īfter watching through the video, have you seen this process before? If not, that's okay! We are going to go through a step by step analysis here using a different example than in the video.It is suggested that you right click on the link and open it up in a new tab so you do not lose your current page. Note: This video will take you to another page.Two-Digit Number Multiplied By a One-Digit Numberīefore going through an example of our own, let us first watch a short clip that demonstrates this process for us: Now that we know what lattice multiplication is and where it comes from, let's look at a specific example. Lattice multiplication how to#This method not only teaches students on how to multiply two larger numbers, but also allows them to work on their organizational skills and practice identifying the place value of a given number. Through the use of the distributive property, we can use this same process for any type of multiplication problem. This process uses the exact same algorithm you probably learned in your own elementary classes, but organizes it into a box thus, this is why many people also refer to this method as the "box-method". This method was later adopted by Fibonacci in the 14th century and seems to be becoming the "go-to" method in teaching elementary students how to multiply two numbers in which at least one of them is a two-digit number or greater. So students can do it, because they can generally do algorithms, but they don't understand what they are doing, which is ultimately the important thing, not the answer.What is Lattice Multiplication and where does it come from? Good question! Lattice multiplication is a process that was first founded in the 10th century in India. Synthetic division is a bad technique, because it is just long division but where you take away the meaning. (I see it very similar to "long division" vs "synthetic division". So really you should be teaching the area model, not the lattice model. ![]() They don't know why they put the diagonals there, they don't understand how this relates to placevalue, and they don't understand how it relates to "normal" multiplication (as they put it). Using the lattice seems "easier" but students (and I am talking about students in college calculus) who use the lattice method actually don't understand what they are doing. Then you do all the areas of the boxes with those lengths and then you add the areas together. On the top, you write 20 + 3, and on the sides you write 100 + 40 + 5. If you want to multiply 23 x 145, you maybe a 2 x 3 grid. The Area model is incredibly important and I show it (at the college level) every chance I get. The difference here is the addition of the diagonal lines to indicate placevalue. There are two things at play here: the area model and "lattice multiplication". ![]()
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