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Unit 3, Week 3. Multi-Step Equations. Do Now – (20/2), (11 x 2) . Pick up your guided notes and tracker and respond to the following SILENTLY & INDEPENDENTLY: Solve for c . -10 + ½c = 30 Solve for x . (4/x) – 20 = 40 . Homework / Make Up Work Reminders.

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Unit 3 week 3

Unit 3, Week 3

Multi-Step Equations


Do now 20 2 11 x 2
Do Now – (20/2), (11 x 2)

  • Pick up your guided notes and tracker and respond to the following SILENTLY & INDEPENDENTLY:

  • Solve for c. -10 + ½c = 30

  • Solve for x. (4/x) – 20 = 40


Homework make up work reminders
Homework / Make Up Work Reminders

  • STILL MISSING! – letter issued with report cards & Stanford Math letters!

  • MISSING WORK! – Post along the back wall. All work is deducted 10% after every day it is late. After 10 days, the work can no longer be turned in. Check now so it doesn’t affect your grade later and you can’t make it up!

  • RETAKING QUIZZES! – If all your homework is not turned in for the topics covered on the quiz, you MAY NOT retake a quiz. Prepare yourself adequately and you will more than likely not need to retake a quiz!


Stanford math letters
Stanford Math Letters

  • 3rd Period

    • Gerardo

    • Cordarius

    • Anthony

    • Josh

    • Chyna

    • Khylee

    • Marshala

    • JaWaun

  • 5th Period

    • Olivia

  • 6th Period

    • Quinton

    • Brandon

    • Arlandre

    • Greg

    • Deriya

    • Dasha

    • Jalen

    • Kenny

    • Jailene

    • Jayla

    • Jermaine

    • Jim

    • Skyler

    • Isiah

    • Tavious

  • 7th Period

    • Annas

    • Jermaine

    • Tiera

    • Jared

    • Jasmin

    • Mirelys

    • Khadija

    • Jack

    • Keona

    • Zakiya

    • Whitney

    • Kameron

    • Zayna

    • Esmeralda

    • Lataryl

    • Austin

    • Cynthia

    • Tinaya

    • Willie


Report card progress letters
Report Card Progress Letters

  • 3rd Period

    • Cordarius

    • Anthony

    • Josh

    • Chyna

    • Khylee

  • 6th Period

    • Arlandre

    • Melanie

    • Fred

    • Greg

    • Deriya

    • Jalen

    • Kenny

    • Isiah

    • Tavious

  • 7th Period

    • Annas

    • Khadija

    • Jack

    • Keona

    • Zayna

    • Lataryl

    • Austin

    • Cynthia

    • Tinaya


Homework mathletes everything turned in
Homework Mathletes – Everything turned in!

  • 3rd Period

    • Tyrek

    • QuinTerio

    • Jacob P.

  • 5th Period

    • Tristan

    • Torez

    • Aliciah

    • Reggie

    • Abdul

    • Brandon

    • Robynn

    • Belen

    • Vicki

    • Wesley

    • Mario

  • 6th Period

    • Jailene

  • 7th Period

    • Autumun

    • Grace

    • Shaquanna

    • Amiya


100 mathletes
100% Mathletes!

  • 3rd Period

    • Cordarius

  • 5th Period

    • Torez

  • 6th Period

    • None

  • 7th Period

    • Chris

    • Jermaine


85 or higher
85% or Higher!

  • 3rd Period

    • Marshala

  • 5th Period

    • Bobbi

    • Katelyn

    • Aliciah

    • Tyun

    • Robynn

    • Jalen

    • Annaliese

    • Vicki

  • 6th Period

    • Tylesha

    • Antonio

    • Dorian C.

    • Steven

    • Ellie

  • 7th Period

    • Amiya

    • Zakiya



Tracking your progress
Tracking Your Progress

  • You are to track your quiz on your own.

  • Please write down your class average so you can do this on your own time.

  • 3rd period – Quiz 1 - 70% Quiz 2 – 55%

  • 5th period – Quiz 1 - 85% Quiz 2 – 75%

  • 6th period – Quiz 1 - 55% Quiz 2 – 55%

  • 7th period – Quiz 1 - 65% Quiz 2 – 60%


Week agenda
Week Agenda

  • Monday – Equations in fraction form – the ‘aquaintances’

  • Tuesday – Equations with distributing in fraction form – the ‘enemies’

  • Wednesday – Equations with Combining Like Terms

  • Thursday – Equations with Combining Like Terms

  • Friday – Quiz over Monday – Thursday’s topics


Today s objective
Today’s Objective

  • SWBAT solve equations in fraction form by getting rid of the acquaintances.


Today s agenda
Today’s Agenda

  • Do Now – 5 minutes

  • Homework/Make-Up Work Reminders – 1 minute

  • Shout Outs – 2 minutes

  • Tracking – 4 minutes

  • Week Agenda – 1 minute

  • Equations with Fractions INM – 8 minutes

  • GP – 10 minutes

  • IP – 12 minutes

  • Exit Ticket – 5 minutes


With multi step equations it can be hard to know where to start pretend it s a party
With Multi-Step Equations it can be hard to know where to start…. pretend it’s a party!

  • You are the host - a.k.a. ‘X’

  • In what order do people leave a party

    • Enemies (get rid of them to avoid trouble) – TOMORRROW!

    • Acquaintances (after mingling with everyone, they usually leave early)]

    • Friends (they hang out with the host a little longer)

    • Family (if attending, they will stay to the end to help clean)


Who is who consider our one step equations
Who is who?Consider our one-step equations

FAMILY….right beside you…and only you… until the end!

2x = 8

x +3 = 15

x – 5 = 20

FRIENDS….they are close to you…they stay longer than some people, but not as long as family


Who are the acquaintances
Who are the acquaintances?

ACQUAINTANCE –

Because this number mingles with all other many parts of the equation instead of giving most of its attention to the host (x), it is not a friend…it is an acquaintance.


Identify all the party goers
Identify all the Party-goers

FRIEND

FAMILY

ACQUAINTANCE


The equal sign is the door who goes out the door first
The equal sign is the door…who goes out the door first?

EXAMPLE 1:

The work:

ACQUAINTANCE – multiply each side of the equation by 3.

The result:

We still have company... lets continue….


Who is next to leave
Who is next to leave?

Friends – add 5 to each side.

The work:

The result:

All that is left is family…a familiar one-step equation.


Clean up the party with a family member
Clean up the party with a family member!

The work:

Family – divide each side by 2

The result:

Don’t forget to check your work with Order of Operations!


Remember follow the steps to clean up the party
REMEMBER - FOLLOW THE STEPS TO CLEAN UP THE PARTY!

  • Steps:

  • Identify the party-goers

  • Eliminate party-goers in order

    • Enemies

    • Acquaintances

    • Friends

    • Family

  • Get x (the host) alone

  • Check your solution


Multi step equations
Multi-Step Equations

  • Watch as I walk through another example.

  • Example 2:

  • Steps:

  • Identify the party-goers

  • Eliminate party-goers in order

  • Get x (the host) alone

  • Check your solution


Multi step equations1
Multi-Step Equations

  • Watch as I walk through one more example.

  • Example 3:

  • Steps:

  • Identify the party-goers

  • Eliminate party-goers in order

  • Get x (the host) alone

  • Check your solution


Multi step equations2
Multi-Step Equations

  • Walk me through this one.

  • Example 4:

  • Steps:

  • Identify the party-goers

  • Eliminate party-goers in order

  • Get x (the host) alone

  • Check your solution


Multi step equations3
Multi-Step Equations

  • Walk me through this one.

  • Example 5:

  • Steps:

  • Identify the party-goers

  • Eliminate party-goers in order

  • Get x (the host) alone

  • Check your solution


Multi step equations4
Multi-Step Equations

  • Work on this one with your partner.

  • Example 6:

  • Steps:

  • Identify the party-goers

  • Eliminate party-goers in order

  • Get x (the host) alone

  • Check your solution


Multi step equations5
Multi-Step Equations

  • Work on this one with your partner.

  • Example 7:

  • Steps:

  • Identify the party-goers

  • Eliminate party-goers in order

  • Get x (the host) alone

  • Check your solution


Multi step equations6
Multi-Step Equations

  • Work on this one with your partner.

  • Example 8:

  • Steps:

  • Identify the party-goers

  • Eliminate party-goers in order

  • Get x (the host) alone

  • Check your solution


Multi step equations7
Multi-Step Equations

  • Work on this one on your own.

  • Example 9:

  • Steps:

  • Identify the party-goers

  • Eliminate party-goers in order

  • Get x (the host) alone

  • Check your solution


Multi step equations8
Multi-Step Equations

  • Work on this one on your own.

  • Example 10:


Multi step equations9
Multi-Step Equations

  • Work on this one on your own.

  • Example 11:


Multi step equations10
Multi-Step Equations

  • Work on this one on your own.

  • Example 12:


Exit ticket
Exit Ticket

Each of you will complete your exit ticket on a note card.

You will complete the exit ticket in 5 minutes and it must be turned in before you can exit the classroom.

You must work SILENTLY and INDEPENDENTLY.

HOMEWORK – Worksheet


Exit ticket1
Exit Ticket

  • HOMEWORK – Worksheet


Do now 100 10 5 2 2
Do Now – (100/10), (52 – 2)

  • Please respond to the following on your guides notes SILENTLY & INDEPENDENTLY:

  • Solve for x.

  • Solve for x.


Today s agenda1
Today’s Agenda

  • SWBAT solve a multi-step equation by getting rid of the enemies.


With multi step equations it can be hard to know where to start pretend it s a party1
With Multi-Step Equations it can be hard to know where to start…. pretend it’s a party!

  • You are the host - a.k.a. ‘X’

  • In what order do people leave a party

    • Enemies (get rid of them to avoid trouble) – TOMORRROW!

    • Acquaintances (after mingling with everyone, they usually leave early)]

    • Friends (they hang out with the host a little longer)

    • Family (if attending, they will stay to the end to help clean)


Who is who consider our one step equations1
Who is who?Consider our one-step equations

FAMILY….right beside you…and only you… until the end!

2x = 8

x +3 = 15

x – 5 = 20

FRIENDS….they are close to you…they stay longer than some people, but not as long as family


Its party time do you know who is in your home
Its party time!Do you know who is in your home?

Family

HOST

Friend

Enemy

The Door!

Acquaintance

See if you can ID the enemy, the friend, the acquaintance, a family member, the host and the door!


Enemies can ruin the entire party get rid of them first
Enemies can ruin the entire party…get rid of them first!

Example 1

Its easy to spot an enemy…they affect everything!

To solve, multiply each side by the reciprocal( the fraction flipped)

The work:

Try to complete the problem from here….the answer is:

The result:

21


Multi step equations11
Multi-Step Equations

  • Watch as I review this example.

  • Example 2:


Multi step equations12
Multi-Step Equations

  • Watch as I review this example.

  • Example 3:


Multi step equations13
Multi-Step Equations

  • Walk me through this one.

  • Example 4:


Multi step equations14
Multi-Step Equations

  • Walk me through this one.

  • Example 5:


Multi step equations15
Multi-Step Equations

  • Work on this one with your partner.

  • Example 6:


Multi step equations16
Multi-Step Equations

  • Work on this one with your partner.

  • Example 7:


Multi step equations17
Multi-Step Equations

  • Work on this one with your partner.

  • Example 8:


Multi step equations18
Multi-Step Equations

  • Work on this one on your own.

  • Example 9:


Multi step equations19
Multi-Step Equations

  • Work on this one on your own.

  • Example 10:


Multi step equations20
Multi-Step Equations

  • Work on this one on your own.

  • Example 11:


Exit ticket2
Exit Ticket

Each of you will complete your exit ticket on a note card.

You will complete the exit ticket in 5 minutes and it must be turned in before you can exit the classroom.

You must work SILENTLY and INDEPENDENTLY.

HOMEWORK – Worksheet


Exit ticket3
Exit Ticket

  • Homework -


Do now 10 x 1 5 x 4
Do Now – (10 x1) , (5 x 4)

  • Please respond to the following on your guided notes SILENTLY & INDEPENDETLY:

  • Solve for x.

  • Simplify as much as your can:

    • 10 x – 12x

    • 3x + 4 – 10x + 7

    • -10 + 2x – 5 + 4x


Today s objective1
Today’s Objective

  • SWBAT combine like terms to solve equations.


Identifying the parts of an equation
Identifying the Parts of an Equation

2x – 5x2 + 10 + 7 – x

  • Terms:

  • Variables:

  • Coefficients:

  • Constants:

  • Like terms:


Combining like terms
Combining Like Terms

  • Example 1: 2x + 5x

  • Example 2: 2x – 5x

  • Example 3:2x(5x)


Combining like terms1
Combining Like Terms

  • Example 4: -5y + 10y

  • Example 5:-5y – 10y

  • Example 6: -5y(10y)

  • Example 7: 5x + 10y


Combining like terms in equations
Combining Like Terms in Equations

  • Watch as I solve this problem.

  • Example 8: -10 + 4x – 5 + 7x = -3 + 18x


Combining like terms in equations1
Combining Like Terms in Equations

  • Watch as I solve this problem.

  • Example 9: 3x – 4 + 9x = 2x – 10 – 5x


Combining like terms in equations2
Combining Like Terms in Equations

  • Watch as I solve this problem.

  • Example 10: -2x – 7+ 4x = 3x +5- 8x + 10


Combining like terms in equations3
Combining Like Terms in Equations

  • Walk me through this one.

  • Example 11: -½x – 6 + 12x – 32 = 5x – 8 + 9x


Combining like terms in equations4
Combining Like Terms in Equations

  • Walk me through this one.

  • Example 12: ¾x – 4.5 + 12x – 12 = 15x – 7 + 30x + 2


Combining like terms in equations5
Combining Like Terms in Equations

  • Work on this one with your partner.

  • Example 13: -5x + ¼ - 10 – 15x = 3x – 14 + 7x - 10


Combining like terms in equations6
Combining Like Terms in Equations

  • Work on this one with your partner.

  • Example 14: -30 + 10x – 20 – 15x = -6 + 12x – 18 + 8x


Combining like terms in equations7
Combining Like Terms in Equations

  • Work on this one on your own.

  • Example 15: 6y – 13 + 10y – 4y = -15 – 5y + 8y


Combining like terms in equations8
Combining Like Terms in Equations

  • Work on this one on your own.

  • Example 16: 9x – 20 + 12x – 14 – 10 = 5x – 7x + 4 - 10


Exit ticket4
Exit Ticket

Each of you will complete your exit ticket on a note card.

You will complete the exit ticket in 5 minutes and it must be turned in before you can exit the classroom.

You must work SILENTLY and INDEPENDENTLY.

HOMEWORK – Worksheet


Do now 8 2 5 2
Do Now – (8 + 2), 52

  • Please get out your guided notes and respond to the following SILENTLY & INDEPENDENTLY:

  • Try this on your own:

    -2( x - 7) + 12x – 10 = 3 + 5x – 10 + 8x


Today s objective2
Today’s Objective

  • SWBAT solve multi-step equations by combining like terms.


Multi step equations21
Multi-Step Equations

  • Example 1:

    -(-1 + x) + 10x – 15 = 3x -4(x – 2) + 15x - 10


Multi step equations22
Multi-Step Equations

  • Watch as I go through another example.

  • Example 2:

    2(-7 + x) – 10x + 25 = -7x – 35 + 12x


Multi step equations23
Multi-Step Equations

  • Walk me through this one.

  • Example 3:

    3(4 + 2x) – 3x + 20 = -12 + 30x –(x – 3)


Multi step equations24
Multi-Step Equations

  • Walk me through this one.

  • Example 4:

    5x( 3 – 2) – 12 = 2( 3x + 5) + 20


Multi step equations25
Multi-Step Equations

  • Work on this one with your partner.

  • Example 5:

    10( 4 + 2x) -20 + 5x = 12x – 5 + 8x


Multi step equations26
Multi-Step Equations

  • Work on this one with your partner.

  • Example 6:

    3( 6 – 2x) + 10 – 12x = 30x – 15 + 3(x – 4)


Multi step equations27
Multi-Step Equations

  • Work on this one on your own.

  • Example 7:

    5(6 – 4x) + 25 – 10x = 4x + 12 – 9x + 7


Multi step equations28
Multi-Step Equations

  • Work on this one on your own.

  • Example 8:

    9( 3x – 7) + 6x = 26 – 14x + 12 – 6x


Multi step equations29
Multi-Step Equations

  • Work on this one on your own.

  • Example 9:


Multi step equations30
Multi-Step Equations

  • Work on this one on your own.

  • Example 10:


Multi step equations31
Multi-Step Equations

  • Work on this one on your own.

  • Example 11:


Multi step equations32
Multi-Step Equations

  • Work on this one on your own.

  • Example 12:


Exit ticket5
Exit Ticket

Each of you will complete your exit ticket on a note card.

You will complete the exit ticket in 5 minutes and it must be turned in before you can exit the classroom.

You must work SILENTLY and INDEPENDENTLY.

HOMEWORK – Worksheet


Exit ticket6
Exit Ticket

  • Homework -


Do now 100 13 x 2 144
Do Now – √100, (13 x 2) , √144

  • Please clear off your desk of everything except a pencil, calculator, and a plain sheet of paper (to cover your quiz with).

  • The longer it takes you to complete this, the less time you will have for your quiz.


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