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3rd Grade Multiplication on Open Number Line

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Uploaded by Maggie Phillips on 2015-08-07.

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Showing relationship in the place value system

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Showing relationship in the place value system

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What is the place value of 3 in 654.213? So let's think about that a little bit. And to do that, let me rewrite the number, and I'll write each digit in a different color. So we have 654 point-- we get the decimal point-- 213. Now we're pretty familiar, I think, with what goes on to the left of the decimal point. We know that this right here-- let me do this in a neutral color-- is the hundreds place, or we could view that as 10 to the second. Let me write that a little bit bigger down here. So this right here that is the hundreds place, or you could view that as the 10 to the second's place, which is the same thing as hundred. This right here is the tens place, which is the same thing as 10 to the first. This right here is the ones place, which is the same thing as 10 to the zero. Then if you go one place to the right of the decimal point, this represents tenths. This represents tenths, or we could view it as 10 to the negative one. Then, if we go to this magenta, if we go two places to the right, this represents hundredths, or 10 to the negative two. And then finally, this 3 represents thousandths. This represents thousandths, or 10 to the negative three. Now, just to answer the question what is the place value of 3 in 654.213? The place value is thousandths. That would essentially answer their question. But to make sure that we really understand what this means, I'm going to rewrite this number. We can rewrite this number as 600. We have 6 hundreds plus 5 tens, or you could say plus 50 plus 4 ones plus 2/10, plus 1/100, plus 3/1,000. Or we could write this, just to really make sure we understand what we're talking about when we mean place value, we can rewrite this number as 6 times 100, plus 5 times 10, plus 4 times 1-- I keep doing that in the wrong color-- plus 2 times 1/10, plus 1 times 1/100, and then finally, plus 3 times 1/1,000. So hopefully, when you write it out like this, it gives you a sense of what it means we say place value. The 6, three digits to the left of the decimal, is in the hundreds place, so it represents 6 hundreds. This represents 5 tens because it's in the tens place. This represents 4 ones. You go to the thousandths place, this 3 literally represents three one-thousandths.

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What is the place value of 3 in 654.213? So let's think about that a little bit. And to do that, let me rewrite the number, and I'll write each digit in a different color. So we have 654 point-- we get the decimal point-- 213.

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Showing relationship in the place value system

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Showing relationship in the place value system

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Sal discusses how a digit in one place represents ten times what it represents in the place to its right.

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More on Using Area Model to Divide - Grade 5

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Mrs. Flynn models another example on how to divide a three-digit number by a 2-digit divisor using the area model. She scaffolds this approach by decomposing the divisor for students who are not fluent with fact fluency beyond 12's.

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A video showing how to draw strip diagrams with different types of problems.

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A video showing how to draw strip diagrams with different types of problems.

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Partial Products (using an area model) 3 digit x 1 digit

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Partial Products (using an area model) 3 digit x 1 digit

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Quick strategy lesson for area model multiplication with 3digit by 2 digit numbers

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Subtracting Fractions with Unlike Denominators

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Subtracting Fractions with Unlike Denominators

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Subtracting fractions with unlike denominators

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Compare numbers using the symbols , and =

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In this lesson, you will learn how to compare numbers by using the symbols , and =.

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Adding Fractions with Unlike Denominators

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Adding Fractions with Unlike Denominators

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Adding fractions with unlike denominators

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Showing relationship in the place value system 

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Showing relationship in the place value system 

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Partial Products (using an area model) 3 digit x 2 digit

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Partial Products (using an area model) 3 digit x 2 digit

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Multiplication Area Model Method 3 digit by 2 digit

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Making friendly numbers with Multiplication: Higher grade level example

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Making friendly numbers with Multiplication: Higher grade level example

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https://www.youtube.com/watch?v=nOhvKgKw7aE

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Showing relationship in the place value system

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Showing relationship in the place value system

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Learn the relationship between a "4" in the hundreds place and a "4" in the thousands place.

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https://www.youtube.com/watch?v=nOhvKgKw7aE

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Relate fractions to decimals

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Making Landmark or friendly numbers Grades 3 - 5

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Using the Standard Algorithm with No Regrouping 

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Using the Standard Algorithm with No Regrouping 

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Partial Products Using A Number Sentence

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Partial Products Using A Number Sentence

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https://youtu.be/htN1CDwo-VYhttps://youtu.be/htN1CDwo-VY

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Adding Fractions with LIKE and UNLIKE denominators

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Adding Fractions with LIKE and UNLIKE denominators

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Video transcript

we've already seen that if we take a whole and in this example the whole is this entire green circle and if we were to split it into five equal sections one two three four five so we've split it into five equal sections and if we were to select one of those five equal sections so let's say we select this section right over here that we have selected one-fifth of the whole one out of the 5 equal sections we could do the exact same thing on a number line everything we've been doing so far has to deal with shapes but we could do the exact same idea on a number line so let me draw a number line here so let me draw it pretty big so we get a sense of things so go all the way to there and let's say let's say that this is 0 this is 1 and this is 2 and of course we could keep going if we had more space 2 3 4 and and on and on and on and what I want to do instead of taking a circle and dividing it into five equal sections I want to take the section of our number line between 0 and 1 and divide it into five equal sections so let me see if I can do this so so 1 2 3 4 5 that looks pretty good I'm drawing it as as exact as I can with my hand but let's just assume these are five equal sections so what would happen what would you think would be a good label for this number right over here well it's the exact same idea between 0 & 1 I've traveled 1 out of the 5 equal sections towards 1 and actually let me make it a little bit neater than that make it make the equal sections look a little bit better 1 2 3 4 5 and what we're thinking about is this what what should be called this number here this number is clearly between 0 & 1 it's clearly closer to 0 and we've gone 1 out of the 5 equal sections towards 1 well it makes complete sense that look we had five equal sections here five equal sections here and we've traveled one of them towards one so we should call this number right over here 1 so when we're talking about the fraction 1/5 it's not just talking about hey what part of a pizza pie have I eaten or something like that it's actually this is actually a number this is a number and we can actually plot it on the number line now you might say okay well that's fair about one-fifth but what about all these other slashes what numbers would we call that well we have we can make the same it's the exact same idea if up here instead of shading in 1 out of the 5 equal sections if I shaded in two of the five equal sections then I wouldn't say this is 1/5 anymore I would say that this is 2/5 and so if I go to of the equal sections towards 1 then I should call this number right over here I should call this 2/5 and I can keep going this right over here should be 3 3 over 5 this right over here I've gone one two three four out of the five sections towards one so I could call this 4/5 4/5 and that could keep going I could call this right over here I've traveled five out of the equal out of the 5 equal sections towards five so I could call this right over here five let me do that in a red color I could call this right over here five over five anyone's any weight but five over five we've gotten to one and that's exactly right if I were to shade in five things over here let me do that a little bit cleaner if I were to shade in five that's not the color I want to use if I were to shade in five things over here we've already seen that shading in five things so if this is let me make this a little bit neater if this is now five over five or five fifths we've already seen that this is a whole and over here if we've traveled five fifths of the way towards one we've gotten to the whole one five fifths is the exact same thing five fifths is the exact same thing as one it is equal to a whole

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Fractions on a number line (video) | Khan Academy

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Click on link for video:
https://youtu.be/Of-i7jxr8GI

This is another great strategy to keep a constant difference for a regrouping problem.

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Sal solves 2 multiplication comparison word problems.

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comparing decimals

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Examples:  Comparing Decimals with Inequality symbols

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This video provided 3 example so comparing decimals with inequality symbols. Complete video list: http://www.mathispower4u.com

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Multiplication with larger numbers

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Safeshare.tv - The safest way to share YouTube and Vimeo videos

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SafeShare.tv reduces advertisements and other unwanted distractions from Vimeo and YouTube videos, so they can be viewed safely. Perfect for Schools!

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Partitive Division (number of parts in each group unknown)

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Partitive Division (number of parts in each group unknown)

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http://viewpure.com/apE_IEHovBM?start=0&end=0

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Multiplication and Division Strip Diagrams

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Multiplication and Division Strip Diagrams

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Strip Diagrams Multiplication and Division

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This video models representing multiplication and division problems using Cuisenaire rods.

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Mental Methods: Multiply by Doubling and Halving

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Measurement Division (Number of Groups Unknown)

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Measurement Division (Number of Groups Unknown)

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Comparing whole numbers (video) | Khan Academy

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Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.

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Partial Quotient Strategy for Division RY

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Mr.Epp explains the Partial Quotient Strategy.

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https://www.youtube.com/watch?v=FiMhpN_jPQw

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Using an open number line for subtraction

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Using an open number line for subtraction

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https://safeshare.tv/submit?url=https%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DSOhQfpRN1FI

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Place Value Shift: showing relationships in the place value system

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Place Value Shift: showing relationships in the place value system

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Breaking each number into its place value 

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Breaking each number into its place value 

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This video demonstrates adding two digit numbers with regrouping, showing the addition with longs and cubes (base 10 blocks). Comments welcome, and if you have any suggestions on how to further clarify the process of regrouping, I would greatly appreciate them.

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Making a number "easier" to add. A quicker way to make it look a little less intimidating.