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Hey everybody, it's Cheri Dotterer
from Tier One Interventions Today.

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Jonily is gonna uncover some new material.

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She didn't even tell me what
this time, so take it away,

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Jonily and let's get started.

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Mission accomplished.

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Mission accomplished.

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We are gonna unpack exactly what
that means in our first segment

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here of our live session today.

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That's what I'm using my
assessment for my midterm.

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And then I design my next few seasons to
dig to mastery so we get much more depth,

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which is going to ensure that my kids
that have already mastered, get the deeper

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versions of it and my kids that haven't
mastered get the mastery of the minimum.

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So in the next part of the year,
this is how it's structured.

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Season three is one of my favorites
and I already have it planned.

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Season three is my absolute favorite.

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Even more favorite than season one.

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First 15 days, guys, this
is the an i I can't wait.

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'cause after my midterm, next
week we have our two week winter

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break, and then we come back and
it's the beginning of January and

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season three is all of January.

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And there is a name, a special name for
it, and it's called Math in a Month.

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And I have a season three created for
every grade level math in a month.

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So January.

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So what do we have left?

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I wanna do this proportionally.

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January, February, March, April, may.

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Okay, there's five months.

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Good.

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We're in fifths again.

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Oh, this is working out nicely.

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I didn't even plan it this way.

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I'm so good.

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I'm so smart you guys.

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Okay, so I'm gonna do fifths again.

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So I'm gonna share the middle.

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Now, when I share the middle, this
time over here, I realized I needed to

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share the middle a little bit bigger.

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See, this is number sense.

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This is why we use this strategy
to improve number sense.

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So I need to share the middle over here.

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This time a little bit bigger
than I shared it over here.

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But see, you learn by doing
that over and over again.

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That's what interactions over time means.

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It means, that's why we
do all of the stuff here.

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And then we do most of
the stuff again here.

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And then we do the same stuff here and the
same stuff here, and the same stuff here.

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That's why we do the same things over
and over, because we develop more of a

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mastery each time we're exposed to it.

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And I just gave that model here
with, oh, I did that and I needed

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to share the middle a little bigger.

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So I'm gonna do that here.

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And then that's one of the parts.

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This has to be two parts,
and this has to be two parts.

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See how they're more equally spaced?

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You learn from experience.

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We don't give that to kids.

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Regular, typical, traditional textbooks
do not build the complexity as you go.

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They go onto a new topic,

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they're so bad.

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But what I love about textbooks, because
I, I have a textbook that we've adopted

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a textbook curriculum and there's a lot
of great things in it, and I pull from it

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all the time because I don't wanna have
to create, I'm, I'm teaching algebra one.

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I don't wanna have to create like, every
single quadratic equation I give to kids.

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Like I don't have the mental capacity
for that, that would exhaust me.

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I don't wanna have to
create all those problems.

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So that's one of the ways that I use
my textbook and it's a lifesaver.

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So if I know I need quadratics that,
um, are gonna have, like, so if

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I'm, I'm planning my second semester
now, so this is one of the things

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that I've used my textbook for.

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I need all of the quadratics that have
no solution, no roots, meaning the

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para is not gonna cross the X axis.

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I want all of those equation examples.

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I ain't smart enough to create them.

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Okay?

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But the textbook is, so then I go to
my textbook and I pull all of those

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examples and I want some of them in
each of these first three fifths here.

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See, that's how I use my textbook.

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But I've defined essentials because some
of my essentials, and this is essential

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for second grade, I've taught this to
my second graders in my district two.

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And then I, I have really
hounded this with algebra one

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radicals and square roots.

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This is a major essential that needs
to happen at every grade level.

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Radicals, square roots,
they're the same thing.

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A radical is a square root.

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A square root is a radical.

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So I'm telling you, one of the essentials
that I have drilled with my Algebra one

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kids, which is radicals, using radicals,
simplifying radicals, actually is what I

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use most of all to improve number sense
with my high school kids that have never

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like gotten a good sense of number yet.

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The other thing that I use are
diamond problems, but I talked

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about that on another episode.

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Radicals and square roots.

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The reason that these are so essential
is because there are certain numbers

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in the radical that I can take out.

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Those are called perfect squares.

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There are certain perfect square numbers
that I want kids to know by memory, just

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like single digit multiplication facts.

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There are also certain square
numbers that are not perfect

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squares, but they are square numbers.

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Kids that don't have number sense
are not able to view radicals and

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square roots in the same kids.

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They don't.

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They don't have the same
experiences and exposures.

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So with that number sense, lacking,
they can't take radicals at the

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Algebra one level as far as they can.

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They potentially could have, but if I
start square roots in second grade, now I

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don't just teach a unit on square roots.

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So you all listening to this
live know what I'm about to say?

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The way that I expose square roots in
grade two is we do the pizza problem.

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A pizza company makes square pizzas.

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What are all of the possible
numbers of unit pieces?

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One by one unit pieces.

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That could be in a pizza, that would be a
square pizza that that company could sell.

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Oh, we could sell a pizza with 16 pieces.

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That's a four by four.

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16 is a perfect square.

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Guess what kids, there's this thing in
math I, this is why I said to my second

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graders, there's this thing in math.

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Don't tell.

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Don't tell your principal
I'm teaching you this.

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I should not be teaching you this.

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Second graders love that.

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I can't do this with my high school kids.

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They're like, shut up, but second
graders, eat this stuff up.

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I'll lean in and I'll be like, I'm
gonna show you something mathematically

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right now, but don't tell anybody I
taught you this, and I don't even want

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you to remember this, but there is
a thing in math called square root.

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It's a weird symbol.

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You wanna see it?

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And they're like, yeah, okay.

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I mean, you can't do that
with high school kids,

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but with my second graders, they're
like, yeah, we won't tell anyone.

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And then I also have to say, now remember,
there are secrets that people are

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asking you to keep that are dangerous.

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And that's not what
I'm talking about here.

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This is in danger.

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You know what I mean?

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You have to kind of put that
into, so why can't you do

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that with your high schoolers?

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Why can't you tell 'em
there's a secret about math?

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Why Mike?

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The novel model even more radical.

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Well, and this is funny, Cheri,
because actually Cheri, in

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my math class, I do do that.

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What I meant to say was you don't get
the same reaction from high school

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students that you do from second graders.

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It's funny, Cheri, I do that with
my kids by this point in the year.

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It doesn't even phase them anymore.

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At first they were like, oh my God.

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And now they're like,
that's Miss Z for you.

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So Cheri, great point.

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Great point.

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You're awesome.

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It's, that's funny.

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That's funny.

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So anyway, at the second grade I said,
I'm gonna show you, I'm gonna show you.

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And I'm talking like, you know, so
I show them the square root symbol

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and I say, the square, what do you
think the square root to 16 is?

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And they're like, eight.

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I'm like, it's not, what
do, what else do you think?

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What?

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So we have this whole tell me about, you
know, we're relating it to square pizzas.

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So then I show them, well wait
a minute, we had that square

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pizza that had 16 pieces.

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What stage number was that?

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What were the dimensions?

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And they're like, oh, it was stage four.

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It's got dimensions four by four.

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'cause my, my.

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Second graders know dimensions of
rectangles and squares, and they

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know stage number and quick dot
and growing patterns, and we've

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done that in the first 15 days.

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So now they're like, but wait a minute.

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The stage number is four
and it's a four by four.

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I'm like, then that's exactly
what the square root of 16 is.

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The square root of 16 is four, and
what that means is in our pizza

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problem, you have 16 pieces of pizza.

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What are the dimensions?

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What is the stage number?

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The square root says root.

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The square root means find the
solution for the dimensions

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of a pizza that has 16 pieces.

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That's what a root means.

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A root means, it's kind of
like the root word in English.

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Language arts, engli
English, language arts.

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Okay, so the root, the square root
is what is the root of the square?

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I have a square that has an
area or array number of 16.

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The root is four, the square root is four.

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The radical 16, the simplified
version of radical 16 is four.

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And I tell kids that second grade.

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Then I'm like, let's try another one.

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Lemme try another one.

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They're like, yeah, okay.

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So then I'm like square root of 150.

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I'm like, perfect.

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Let's draw this pizza.

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Go.

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Then I'll give them graph paper and
some of 'em will start putting like

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four pieces of graph paper together,
because they're gonna try to, they're

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gonna draw 50 by 50, and I let
them do not steal their struggle.

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You need to let them use tape
and glue and put all these pieces

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together, and then you'll have like
two kids over there and they're gonna

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be like, why are they taping on?

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I'm like, shh.

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Just let them do it, because then
I'll be like, whisper to me why?

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And they'll be like, it's a 10 by 10.

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I can fit it.

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I'm like, don't tell,
don't tell, don't tell.

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See, you have to have those kids
go through the whole process

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to make the learning memorable.

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Those kids in fourth grade, fifth grade,
sixth grade, seventh grade, eighth grade,

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when we do square root of a hundred,
they're gonna be less likely to tell me

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that the square root of a hundred is 50.

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After me letting them suffer through this
process of trying to create a 50 by 50,

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because with my high school kids
this year, guess what my algebra one

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kid said, more than half my class
said squared of a hundred is 50.

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So I did with my Algebra one
high school students this year,

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that same exercise that I do with
second graders, I was like, great.

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Draw 50 by 50.

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Now I had less kids in my Algebra one
taping graph paper together, but I still

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had other kids like on the down low.

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I'm like, don't say don't.

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And I would give my other kids, um, other
square roots to do while they, while

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other kids were taping paper together
and not even noticing that is a 10 by 10.

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Like I had to have my high
schoolers go through this.

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But what I'm telling you is with the novel
model, it's best if second grade goes

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through this and then they go through
it again in third grade and then they

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go through it again in fourth grade.

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Because even though some of the kids
that did the taping together and doing

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the 50 by 50 and second grade, even if
you do it every year in fifth grade,

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some of those same kids are gonna
insist that they have to tape the paper

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together and you're gonna let them,
but they're actually not gonna go as

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far because they're gonna start to
remember their previous experiences.

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This is what builds fact fluency.

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So then in grade two, when they're taping
this together and I'll actually have kids

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draw 50 by 50 and then I'll use it first.

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I'll be like, look, alright, so square
root of a hundred, how many pieces

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of pizza should we have in this?

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They're like a hundred.

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I'm like, good.

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Let's count and make sure we
have a hundred total pieces.

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They start counting and they
look at me and they're like,

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fudge, this has a lot more than a hundred.

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I'm like, yes, but I get so
excited and I'm like, I'm gonna

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use your model for other lessons.

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I'm gonna teach this year because
we're gonna be able to figure out

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what Square root makes this 50 by 50.

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Okay, we're not gonna do it today,
but I'm gonna keep this and you all

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are brilliant and you have done all
of the work for me for another lesson.

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You see how I'm facilitating this energy?

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But the point is, what I say in essential
chunks, if we get real down in the

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nitty gritty square roots radicals
are absolutely essential for kids

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to be seeing as early as first and
second grade with pizza problem chunk.

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So season three, remember
this is my favorite.

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I'm gonna make it, I'm gonna
make season three in red as a

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heart because it's my favorite.

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So season three is one
fifth of uh, semester two.

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It is in the month of January.

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It's got a special name,
it's called Math in a Month.

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And I already actually.

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Have had my January planned because I
planned my first 15 days in my January

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simultaneously because I use my first
15 day slides to then create my January.

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And I've already done this
for my Algebra one class.

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And I've done it in a way that my other
Algebra one teachers at my school, they're

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first year teachers, I want them to have
a successful January math in a month.

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Jonily, I wanna close out Tier One
Interventions podcast, and that is, if you

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are listening to this podcast and you are

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thinking, how do I get involved,
you wanna head over to your show

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notes and click on the link.

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We are offering you to come to a
session like this where you get all two

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and a half hours at one shot for $47.

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You can then join another
session for another $47.

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Or you can buy the whole year for
$497 plus you have to buy the.

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When if you're going to go buy
the whole year, you're gonna

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have to buy level one as well.

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But the coaching and these conversations
that we're having are $497.

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That sounds to me like a really good
deal for to, to really think the

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way you're thinking about not just
mathematics, but occupational therapist

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delivery, speech therapy, delivery,
special ed delivery, and how we're

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helping these kids rethink, reregulate,
relearn and think about life as whole.

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Bye bye.

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Lovely.

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All.