![]() ![]() Lesson 5: Convert measurements and describe relationships between metric units. Lesson 4: Estimate products and quotients by using powers of 10 and their multiples. Lesson 3: Use exponents to multiply and divide by powers of 10. Lesson 2: Multiply and divide by 10, 100, and 1,000 and identify patterns in the products and quotients. Lesson 1: Relate adjacent place value units by using place value understanding. Twice, but this gives you a more visual representation for why it actually makes sense.Get it now Module 1: Place Value Concepts for Multiplication and Division with Whole Numbers ![]() Multiply binomials the way we do, and in other videos we talkĪbout it as applying the distribution property Makes a visual representation of why it makes sense to So what this, I guess youĬan say this area model does for us is it hopefully The two times the three and you get your six. ![]() You multiply the two times the x, you get your 2x. You multiply this x times the three, you get your 3x. You multiply the x times the x, you get the x squared. X, actually let me do that in the same colors. Would get this trinomial, and we can do that really fast. It out, these binomials, and simplify it, you Ways of expressing the area, so they're going to beĮqual, and that makes sense 'cause if you multiply Simplifies to x squared, x squared plus 5x plus six. X's and I add two x's to that, I'm gonna have five x's. Well this isn't a trinomial, this has four terms right over here, but you might notice that we can add, that we can add these middle two terms, 3x plus 2x, if I have three That right over there, its height is two, and its width is three, we see it right over there, That, plus two times x, and then finally this Width is gonna be two times x, and we can just add What's the area going to be here? Well the height is two and the width is x, so multiply height times The area of this yellow region, and then we can move on Over here, that's the area of this purple region, plus We're summing up the area of the entire thing, Height as right over here, its height is x and its width is three, so it's gonna be x times three, or 3x. What's the area of this yellow rectangle? Well it's height is x, same Purple rectangle right over here? Well the purple rectangle, its height is x and its width is x, so Well to do that, we canīreak down the larger area into the areas of each of So just like that, I'veĮxpressed the area of the entire rectangle, and it's Two, and what's the width? Well the width is, we goįrom there to there is x, and then from there to there is three, so the entire width is x plus three. We see that that distance is x, and then from here to here it's two, so the entire height right over here, the entire height right over The height of this larger rectangle from here to here, Then I wanna express it as a trinomial, so let's The first way I wannaĮxpress it as the product of two binomials and Rectangles, and what I wanna do is I wanna express theĪrea of this larger rectangle and I wanna do it two ways. But you'll get through it :)īig rectangle here that's divided into four smaller Math is fun, but it can get REALLY annoying sometimes, especially when you're trying to learn this thing, and the thing makes no sense, and the thing is stupid an you're like "I DON'T WANT TO LEARN THIS THING." I've been there. If you don't want to stick with it, and just want some simple math awesomeness, there's a youtuber I really like, ViHart, that explains some really fun mathematical concepts without using numbers! If you're interested, I highly recommend checking it out.Īnyway, that answer was really cheesy, and you've probably heard it a million times already, but yeah. As Galileo said, "The universe is a book, and math is the language it's written in." Now admittedly, the math you're learning right now is kind of boring, but if you stick with it, you'll be able to learn some really cool concepts! ![]() Every tree, flower, bookcase, speck of dust, it has math woven into it's being. Calculations are boring :P) Everything around you. Math helps you understand the world! This is why I really like math (note: I like math as a concept. Even just going to the grocery store and shopping smart takes basic arithmetic (and basic algebra if you want to be meticulously thorough). When you become an adult, you'll have to manage money. Math is good for your brain! It makes you smarter ( insert sarcasm: wow really? I didn't know that), and improves your problem solving abilities. I had to use google to get some adequate answers: ![]()
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