In this lesson, students will learn the importance of recognizing number patterns in math. Ms. Knarr sings songs and plays games with students to teach types of …
(upbeat music)
– Hi friends welcome back
to Teaching in Room 9,
our region's largest classroom.
My name is Julia and I am
one of the second grade
teachers at the Soulard School.
Here for Teaching in Room 9,
all my lessons are math
for second graders,
but everyone is always
encouraged to join.
Welcome back friends.
Thank you guys for
joining me here today,
and I'm really
excited to be together
and be able to do some
learning together today.
We're gonna jump
into some math here,
but before we get started,
we always start our lessons
with the mindful minute.
Or just going to practice
taking some mindful breathes
or doing some mindful
breathing here together.
Okay, so I want us to try
to take a few deep breaths
in through our nose.
Count two, three out
through your mouth.
Count two, three.
Okay then I'm gonna try to
just have you close your eyes
and kind of talk you
through a guided meditation.
All right, so we're gonna
breathe In through our nose.
(breathes in heavily)
one, two, three and
out through your mouth.
(breaths out heavily)
One, two, three.
Sitting nice and tall.
My back is straight,
I'm loosening my muscles
and my shoulders.
Breathe in.
(breathes in heavily)
Two, three and breathe out.
(breathes out heavily)
One, two, three.
Breathe in again.
(breathes in heavily)
Two, three and breathe out.
(breaths out heavily)
Two, three.
Since I am sitting in
a chair here at school,
I'm gonna stoop
back at my chair,
bring my legs all the way up,
so that I can do a little bit
of chair yoga here with you.
Okay, breathe in
through your nose,
nice and tall and straight
to where you're sitting.
(breathes in and out heavily)
Two, three and out.
One, two, three
I like to tap my fingers,
just like I'm doing so
helps me to really focus
on those breathes.
Breathe in.
(breathes in heavily)
One, two, three.
Breathe out.
(breathes out heavily)
Two, three.
Okay, feel your breathe,
filling your lungs leaving.
If you'd like to close
your eyes you can,
feel your chest rise and fall
as you were taking
deep breathes,
(breathes in heavily) In,
(breathes out heavily) out.
(breathes in heavily) In
(breaths out heavily) and out
one more breathe in.
(breaths in heavily)
One, two three and out.
(breathes out heavily)
One, two, three.
Nice job friends.
That was amazing.
I hope that you're
feeling relaxed,
centered, refocused and ready
to learn together today.
All right, you guys now I always
like to start our last stands
with our learning goals or
objectives for the week.
We talked about yesterday,
how all our lessons to
speak are going to be,
I can… look for
and make patterns.
So we're gonna be practicing,
looking and making for,
looking for and making patterns
all this week for geometric
or shape patterns.
We talked yesterday about
growing and repeating
all that good stuff.
All the different pattern rules.
We'll get to practice
that some more here
again together today.
All right, and then
I also had mentioned,
so just kind of a
reminder for your brains
to kind of prepare
you for next week.
We're gonna use this
same learning goal,
but we're going to
take all of that hard,
amazing practice that we
did together this week
and apply it to number
patterns for next week.
All right, so that is our
learning goal for today.
And you guys know that
I also went through
the patterns why we wanna
build patterns chart here.
So I'd like to just
kind of briefly
touch on this again today,
because it might be, seems
silly or be kind of redundant
for us to be practicing patterns
when you guys are so smart
and you've been practicing
patterns for so long, right?
If you're in second grade,
you've probably
been doing patterns
since you were four or five
years old, maybe even younger.
So why is it important for
us to practice patterns?
That's why I have a tuck here.
Why build patterns?
What is the point of
practicing patterns
over and over again?
And you're going to
continue practicing patterns
even as you get older and older.
So why, why is it important
for us to wanna practice this?
So again, in the center here,
I have, patterns are
the heart of math.
And I put it right in
the center to the way
to kind of remind
you how your heart
is kind of that lifeblood
of your body, right?
Without your heart being
there in the center,
we're kind of to the
side of your chest
and pumping all the
blood through your body,
your body wouldn't be able
to function without it.
That's how patterns
are for math.
Math would not make sense
or be able to function
without being able to
recognize practice, you see
and make those relationships
between patterns.
So then just gonna touch
on some of these here.
It says help make predictions,
being able to see a pattern,
recognize that then you
can make the prediction up.
Oh, I see if my pattern rule
is to add one more each time
and I have two, then
three, then four,
my next one, I can
make the prediction
I'm gonna add on five.
Then it jumps down to here.
It says it helps us
see relationships.
That kind of goes along with
making those predictions.
Once we are able to
see those relationships
or those connections,
then we are able
to make predictions
about what is going to
happen or come next.
Over here, It says, identify
regularities from general,
or I'm sorry, inform
general rules and concepts.
Big fancy schmancy words.
All it means is,
I'm able to identify
or see regularities,
similarities.
I can look at and pick out
similarities between patterns.
And then in my math
brain, I can recognize
and say, hey, I've seen
this pattern before.
I know this is an AB pattern.
So I know how to kit extend
or continue on that pattern.
And then that helps us to kind
of come up with these rules
that are all in this
chart here behind me,
that we've been
practicing together.
Then over here, I had mentioned
how I really like this
one, It says, make sense
or make a sense of order.
So patterns kind of help
take all that math knowledge
that's floating around
out there in the world
and it helps to sort of
take it in and form rules
and concepts and ideas
that help you to make sense
of all that information.
It also helps us to develop
logic and down here,
our critical thinking skills.
And these again are just sort
of our problem solving skills.
So if we are able to logic
is just sort of basically
it makes sense where is
arranged or applied by rule.
So if we are really good
at picking out patterns
and practicing them, then we
are able to very easily decide.
Okay, this is logical
or it makes sense
and I can use those reasoning
and critical thinking skills.
'Cause we know that
being a problem solver
is so important in
so many ways, right?
Friends, you sometimes
need to be a problem solver
on your own to try to
solve maybe an issue
that you're having
all by yourself.
Maybe you're having an
issue with the classmate
or a friend or a sibling.
Maybe you're having
a problem in science
or social studies or reading.
Once you are able to practice
those problem solving skills,
you can apply all of that
amazing problem solving
to any problem that
comes your way.
And you'll feel really confident
in being able to solve.
Then over here, it says
how we can see patterns
in art, music,
nature and reading
and how it really is a
foundation for learning.
It's a building block
for us to build upon.
Once we train our brain to be
able to practice, seeing skill
or seeing patterns
and knowing the rules,
making sense of it,
using our problem solving
and our critical
thinking skills,
then we are really able
to take that skillset
and apply it to anything
that we wanna learn about,
or that might come our way.
And then at the bottom, again,
it says patterns build
strong mathematicians.
We wanna be strong
mathematicians
who feel confident
and being able to
stretch our brains,
use all of our
amazing math skills
that we have in our
toolbox and feel confident
as math starts to
get harder, right?
Because math is definitely
one of those subjects
that it builds and builds
and builds and builds.
And it's very common
for our friends
to get to a certain
point in time.
And it just feels too
hard and you just say,
I can't do this
or I'm bad at math
and I can't figure this out.
You absolutely can.
And just getting used to
finding those patterns
and seeing those relationships
and making sense of rules,
then you are able to feel
confident in trying to solve
much more complex
or challenging math
that comes your way
as you get older.
All right, nice job friends.
So I hope that you're
starting to sort of understand
or visualize some
more in your brain,
why it is so important for
us to practice patterns.
I had mentioned last time
that I came up with a
new song for you guys
and I like to do songs
all years on activities.
So it helps us really
stick in our brain,
what it is that we're
trying to learn.
So I'm hoping that,
and we learned the first two
parts of our song this week.
And then next week,
we're gonna add
two more parts onto our song.
So then hopefully by
the end of next week,
you will be able to sing
this entire pattern song
along with me at home.
All right, and again,
it is to the tune
of the ants, go marching.
Are you guys ready to
sing along with me?
All right, here we go.
(tapping the thighs)
♪ A pattern It goes on
and on a row, a row. ♪
♪ A pattern it goes on
and on a row, a row, ♪
♪ a pattern, it
goes on and on, ♪
♪ It could be shapes
or numbers too, ♪
♪ and when we saw
the pattern rule, ♪
♪ then we can extend
bum, bum, bum. ♪
♪ A pattern can be
growing or repeating, ♪
♪ a pattern can be
growing or repeating ♪
♪ a pattern can be growing
where you add on more and more ♪
♪ each time for the pattern
♪ will repeat in
all these ways, ♪
♪ bum, bum, bum, bum.
(clapping) Yay,
nice job friends.
I can tell that you are
starting to catch onto my song
and singing along
with me at home.
So again, the
beginning of our song
is all about shape patterns
or geometric patterns.
So again, the definition
for patterns is,
it occurs or happens when
something is repeated.
♪ A pattern it goes on
and on a row, a row. ♪
Right, It repeats, so it
just goes on and on and on.
And I made that connection
yesterday to number lines.
'Cause if you
notice number lines
always have the little
arrows on both sides
to show that it just
extends on and on and on,
and it does not end.
And then we know again too,
that we want to arrange it
or order it following a rule.
Something that makes sense.
So once we decided that pattern
rule is then you can extend
or build onto that
pattern more and more.
So let's go through
these two parts here.
Growing and repeating..
♪ A pattern can be
growing or repeating. ♪
So if we are doing growing,
you add on more
and more each time.
So again here, we've got our
blue circle, gray triangle,
just one gray triangle, blue
circle, two gray triangles
blue circle, three
gray triangles.
What comes next?
Yep, don't forget, blue circle,
then how many gray triangles?
Four gray triangles.
Nice, then what blue circle.
And then how many,
five gray triangles.
And it just keeps
going on and on and on.
We noticed growing
because there's more
gray triangles each time.
It's the same idea with these
orange circles down here.
So I started with three
and my pattern rule
is I wanna add on three.
So I double it and
now I have six.
And then I added
three the first time,
so I add four the second time.
So now I have 10,
then I add on five
and now I have 15
and it just keeps
going that way.
Where are you at on three,
then four, then five,
and it continues on and on
six, seven, eight, nine, 10
until you have like 10, for
Julian orange circles, right?
And then we've got the
repeating patterns over here.
So these are some of the ones
that we talked about yesterday.
And I'd also mentioned how
there are so many other patterns
that aren't even mentioned
or pictured on my chart here.
So we're gonna start with
a very simple pattern.
These are the ones that
you've probably worked on
when you were really little.
This is called an AB pattern.
It just means one then the
other, one then the other.
So here you have an orange
triangle and a purple circle.
Orange triangle, purple circle,
orange triangle, purple circle.
And it just goes back and forth.
A, B, A, B
or one, two, one,
two, just like that.
Then we have A, B, B.
So A, B, B,
A, B, B,
A, B, B.
So you have one and then
two, one, and then two.
And then we also practice
last time together,
the flip or the reverse of that.
And that is A, A, B.
So instead of one and two,
you have two then one.
So you have two orange squares
and then the pink cloud.
Two orange squares, pink cloud,
two orange squares, pink cloud,
and helps us to see here.
And then we came down
here to our A, A, B, B.
So you have two and
then a different two,
two and then a different two.
I had mentioned yesterday too,
how you are able to
make patterns any
way that you'd like.
So maybe you wanna arrange
your patterns by shapes.
Okay, I'm gonna have two
circles then two triangles,
two circles, two triangles.
Maybe I want to
arrange them by size.
Maybe I wanna have two big,
two small, two big, two small.
Here they are arranged,
obviously not by shapes 'cause
we have all circles, right?
They are arranged by colors
we have two blue, two yellow,
two blue, two yellow,
two blue, two yellow.
And then our last
one that you see
on the chart right here is
A, B, C,
A, B, C.
So we have a pink circle,
purple triangle, green triangle.
Circle, purple, green,
circle, purple, green,
circle, purple, green.
And it just keeps going
A, B, C,
A, B, C.
You can even continue
on do A, B, C, D,
A, B, C, D.
And it just keeps going.
You can add on more and more.
Maybe you wanna do
A, A, A, B, B, B
or A, A, B,
A, A, B.
Just depends on how
you wanna do it.
So that's what we're gonna do
on some practicing
here together.
I'm gonna go over our vocabulary
where it's really quick.
And then we're going to practice
growing and repeating patterns.
But some of the manipulatives
I showed you guys yesterday.
So down here for vocabulary,
we've got the word
geometric patterns,
same as up at the top,
means patterns with shapes.
And we have number patterns.
We'll work on those next week.
And then we have
growing and repeating.
♪ Growing is where you add
on more and more each time. ♪
♪ Or the pattern will repeat
in all these ways, right? ♪
Extend is once you have
solved that pattern rule,
then you can extend it.
So this is the kind of
examples you'll see at school.
They'll give you a pattern
and then they'll say
complete the pattern
or finish the pattern.
That just means extend.
Once you realize what it is,
then you can keep
building on and on
and the pattern
will go on and on.
Then we have increasing
and decreasing.
We'll be more focused on our
number of pattern next week.
Pattern rule is
whatever the rule is.
Is it growing?
Is it repeating?
Is it repeating A, B, A, B?
Or is it A, B, C?
You have to figure out what
that pattern rule is first.
And then you can figure out
how to arrange your shapes
or whatever manipulatives it is
that you were using in
order to make your patterns.
All right, you guys
are doing so amazing.
I know that's a lot of
different vocabulary
and a lot of different
ways for us to practice
different patterns.
So I'm going to try to, again,
kind of arrange my computer
in a way that you are able
to see down here.
There we go.
So we can practice
some of our patterns.
So before we practice with our
different cubes right here,
and there we go, at
night you can see better.
So if I start out with one and
I wanna do a growing pattern,
so I'm gonna add on
one more each time.
So I've got one
purple right here.
And then I add on one,
so now I have two.
So if I added on one,
how many am I gonna
add on this time?
You've got it.
Now I add on two.
One, two.
Now, how many do
I have altogether?
Yep, you got it.
One, two, three, four.
So if I added on one
and then I added on two,
how many am I gonna
add on this time?
Yep, three.
So now I've got one, two, three.
How many now do I
have altogether?
Straightened my pyramid up here.
One, two, three, four,
five, six, seven.
So if I added on three now,
how many am I gonna
add on this time.
for my growing pattern?
Where I add on one
more each time.
You got it friends.
Now I add on four cubes,
one, two, three, four.
And now how many do I add on?
You've got it.
Five.
one, two, three, four, and five.
So I've got one, two, three,
four, and five.
All right, now let's count,
how many we have?
Look how big our tower has
gotten so quickly, right?
I'm starting to realize that
when I add growing patterns
where you add on more
and more each time
it gets bigger and
bigger and bigger.
I've got one, two, three,
four, five, six, seven, eight,
nine, 10, 11, 12,
13, 14, 15, 16.
Nice job.
And again, what is
this an example of?
It is a what kind of pattern?
You got It, It's
a growing pattern.
Now I had mentioned
being able to find
something called
found materials.
So you don't always have to use
beautiful, colorful
blocks like that.
You can find any materials
that you want to use
in order to make patterns.
So I showed you some
of the manipulatives
that I had yesterday.
So today I'm gonna be using
these little wooden rings.
I'm gonna use my rocks again.
Yesterday I used
rocks and pumpkins,
and I'm also going
to use buttons.
I've got all sorts of
different kinds of buttons.
So I'm gonna be using
those to practice
all of our different patterns.
So let's start out
practicing our first pattern,
which I can see
right behind me here
is A, B.
So I'm gonna use a
ring, circle ring
for like a wooden
circle ring and a rock.
Can you guys see it here?
Perfect, so I've got
wooden ring, rock.
Ring, rock.
Ring, rock.
What comes next?
Is they're so smart,
ring and then a rock.
And it just keeps going.
Ring, rock,
ring, rock,
ring, rock,
ring, rock.
It's got a nice little
tune to it, doesn't it?
Ring and then a rock
I'm starting to run
out of (mumbles).
Nice job, so that's an AB
pattern now let's practice.
What's our next one?
A, B, B.
So let's do A, B, B.
I use buttons this time.
So A, B, B.
A, B, B.
So I've got ring button, button,
ring, button, button.
What comes next friends?
You are so smart,
after button, button,
I need another wooden ring.
And then, yep, two more buttons.
Ring, button, button,
ring, button, button,
ring, button, button.
What would come next?
Yep, a ring and
then more buttons.
'Cause they're getting
so good at this.
So remember this is A, B, B,
A, B, B.
Now we're gonna do
the flip of that.
We're gonna do A.
What is it?
A, A, B, I'm sorry.
A, A, B.
A, A, B.
A, A, B.
So we just took that
pattern and we flipped it.
So instead of it
being one two, two
or one and then
two have the next
one two have the next,
one two have the next.
Now it's two and then one,
two and then one.
So here now we have
two buttons, a ring,
two buttons, a ring,
two buttons, a ring.
What would come next?
Yep, you guys got it.
Two buttons, but I don't
have any more buttons.
So our pattern ends
there. (chuckles)
So now we practice A, B,
we practice A, B, B.
We practice A, A, B.
Now let's practice this one.
A, A, B, B.
Okay, so now I'm gonna
do A, A, for my rings,
B, B for my buttons.
A, A, B, B.
what will come next?
I've got two rings, two buttons,
two rings, two buttons.
Then you got it.
Two rings would come next.
And then it would be,
gosh, my friends I always think
I maybe am gonna be
able to trick you,
but you're too smart and
thinking like a mathematician
and you're able to
recognize and figure out
these different patterns.
Two rings, two buttons,
two rings, two buttons,
two rings, two buttons.
A, A, B, B,
A, A B, B.
All right, our next
one is A, B, C.
So now I get to use all
my different materials.
I've got
A, B, C,
so ring, rock, button.
What would come next?
So smart friends,
ring, rock, button.
Then what comes next?
You got it.
Ring, rock, button, ring.
Then you got it.
Rock then button,
ring then rock then button,
ring then rock then button.
Nice job friends.
All right, let's get
even trickier with it.
All these manipulatives
back this way.
Let's try one, that
would be A, B, C, D.
What might that look like?
I'm gonna bring
in some seashells.
Do you guys have any
seashells at home?
Yeah, I'm seeing some
friends maybe have
some seashells at home.
It's a little bit of a tongue
twister I can't always say it.
So if I did one,
two, three, four.
I'd have a seashell,
one, a ring,
two, a button
three and for a four,
we would have my rock.
So I've got shell,
ring, button, rock.
What would come next?
Do you guys think you
can figure it out?
Yeah, what's our pattern rule.
First came a shell, then a ring,
then a button, then a rock.
If I wanted to start
this process over
what would come next?
Yep, It would be a
shell, then what's next?
Yep, a ring.
Then what?
A button.
Then what?
A rock.
Look now we came
up with a pattern,
that's not even on my chart.
It's A, B, C, D.
A, B, C, D.
Shell, ring, button, rock,
shell, ring, button rock.
What would come
next in our pattern?
Yes, nice job.
Shell, ring,
button, rock.
Nice job, A, B, C, D.
Nice job friends.
You guys did such an amazing
job with your patterns
with me here today, we practiced
all these different ones.
We practiced growing.
We practiced repeating.
We practiced all
the different ones
that are listed
here in our chart.
A, B,
A, B, B,
A, A, B
A, A, B, B, and A, B, C.
We even practiced A, B, C, D.
All right, thank you
friends for working
so hard with me today.
I can't wait to
practice patterns again
together tomorrow.
Bye.
(upbeat music)
– [Narrator] Teaching in
Room 9 is made possible
with support of Bank Of America,
Dana Brown, Charitable Trust,
Emerson, and viewers like you.
(upbeat music continues)

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