![]() This method is good because it helps you, at least it helps me, make sure that each term gets multiplied by every other term the x gets multiplied by 2x and 1 and the 3 gets multiplied by 2x and 1. I wrote it out a little differently in the FOIL process but this is the same answer you would have gotten in using FOIL. I could do the product x+3 times 2x+1 by writing its rectangle I'm going to call this top x+3 notice my drawing isn't to scale but that's okay I'm just going to have my products be in here, 2x+1 it's going to be my side lengths, so now when I multiply each of these four things and add them together I'll get the same answer that I would have gotten had I foiled, here's what I mean, x times 2x is 2x squared, 3 times 2x is 6x, x times 1 is x, 3 times 1 is 3, so when I add all those together I'll get 2x squared plus,6x plus x, is 7x plus 3 that's the answer for this product. So what that means is that I can use this idea of broken rectangles to multiply binomials. Here is what I mean, 4x1 give me this little area 4x1 is 4, 3x1 is 3, 4x5 will be 20, 3x5 is 15, I broke this into four separate pieces and when I add them up I'll get 42. You would get that same answer if I broke that rectangle into pieces, instead of 7 I'm going to break it into 4 and 3, 4+3 is 7, and on the side here I'm going to make it 1+5, now I have four different rectangles and when I find the area of each little chunker, you'll see they add up to 42. Like if I had this rectangle here and I told you the top was 7 the side was 6 you would say area equals 7圆 or 42. Let me show you what I mean, you guys already know about area, if you have a rectangle the area of the rectangle is length times width. Get my personal recommendations for how to introduce the material.When you're multiplying polynomials, really what you're doing is using the distributive process but a lot of times you're using it multiple times over each term and each polynomial gets multiplied by everything else it gets really tricky that's why a lot of times teachers will show students what I'm going to show you here it's the area model for multiplying polynomials. Clear Lesson Plan Sheet Illuminating Classroom Best Practice:.Rest-assured, all answers are triple-checked for accuracy. When activity is complete, check for concept mastery with short quiz.ĭetailed answer key. Short quiz/exit slip to check for understanding.Reinforce learning topics with a fun math game that can be played in small groups or as a whole class. A how-to video guides you through assembly. High-Resolution posters/anchor charts print on multiple 8.5 x 11 sheets. Video-Aligned homework that maintains the style of the animated video. Well thought-out questions challenge critical thinking skills.Įarly Finishers - Not So Fast! Straightforward math problems to move towards mastery. Double sided worksheet with word problems. ![]() Fill in the blanks/cloze (lyrics w/ some missing words)Īfter they watch the video, they master the math vocabulary.Your students can sing along as the music video plays. Each takes 250+ hours to write & animate. Learning about the fundamentals of grouping, place value, and multi-digit multiplication has never been this, laid-back, chill, and easy to understand! Also known as the Singapore Method, using geometric models to show a deeper understanding of the mechanics of multiplication is something that is a regular part of farmer Maslow's everyday life.įarmer 'Maz' is looking forward to giving you a tour of his quaint farm by the sea where he'll be planting crops in rectangular arrays to show the visual model of multiplication. ![]() As he plants a field of green beans, he'll be showing us how to multiply two-digits by two-digits using the area model. Watch as farmer Maslow takes us on a tour of his farm by the sea as he plants his new crops.
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