# Geometric Patterns 2 | 2nd Grade Math | Teaching In Room 9

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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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