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### Unit 3, Week 3

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

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

- 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

- 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

- 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!

- 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!

- 3rd Period
- Cordarius

- 5th Period
- Torez

- 6th Period
- None

- 7th Period
- Chris
- Jermaine

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

- 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

- 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

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

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!

- 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

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?

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.

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?

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!

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!

- 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

- 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 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 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 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 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 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 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 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 Equations

- Work on this one on your own.
- Example 10:

Multi-Step Equations

- Work on this one on your own.
- Example 11:

Multi-Step Equations

- Work on this one on your own.
- Example 12:

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 Ticket

- HOMEWORK – Worksheet

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 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 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

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?

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!

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 Equations

- Watch as I review this example.
- Example 2:

Multi-Step Equations

- Watch as I review this example.
- Example 3:

Multi-Step Equations

- Walk me through this one.
- Example 4:

Multi-Step Equations

- Walk me through this one.
- Example 5:

Multi-Step Equations

- Work on this one with your partner.
- Example 6:

Multi-Step Equations

- Work on this one with your partner.
- Example 7:

Multi-Step Equations

- Work on this one with your partner.
- Example 8:

Multi-Step Equations

- Work on this one on your own.
- Example 9:

Multi-Step Equations

- Work on this one on your own.
- Example 10:

Multi-Step Equations

- Work on this one on your own.
- Example 11:

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 Ticket

- Homework -

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 Objective

- SWBAT combine like terms to solve equations.

Identifying the Parts of an Equation

2x – 5x2 + 10 + 7 – x

- Terms:
- Variables:
- Coefficients:
- Constants:
- Like terms:

Combining Like Terms

- Example 1: 2x + 5x
- Example 2: 2x – 5x
- Example 3:2x(5x)

Combining Like Terms

- Example 4: -5y + 10y
- Example 5:-5y – 10y
- Example 6: -5y(10y)
- Example 7: 5x + 10y

Combining Like Terms in Equations

- Watch as I solve this problem.
- Example 8: -10 + 4x – 5 + 7x = -3 + 18x

Combining Like Terms in Equations

- Watch as I solve this problem.
- Example 9: 3x – 4 + 9x = 2x – 10 – 5x

Combining Like Terms in Equations

- Watch as I solve this problem.
- Example 10: -2x – 7+ 4x = 3x +5- 8x + 10

Combining Like Terms in Equations

- Walk me through this one.
- Example 11: -½x – 6 + 12x – 32 = 5x – 8 + 9x

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 Equations

- Work on this one with your partner.
- Example 13: -5x + ¼ - 10 – 15x = 3x – 14 + 7x - 10

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 Equations

- Work on this one on your own.
- Example 15: 6y – 13 + 10y – 4y = -15 – 5y + 8y

Combining Like Terms in Equations

- Work on this one on your own.
- Example 16: 9x – 20 + 12x – 14 – 10 = 5x – 7x + 4 - 10

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), 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 Objective

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

Multi-Step Equations

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

Multi-Step Equations

- Watch as I go through another example.
- Example 2:
2(-7 + x) – 10x + 25 = -7x – 35 + 12x

Multi-Step Equations

- Walk me through this one.
- Example 3:
3(4 + 2x) – 3x + 20 = -12 + 30x –(x – 3)

Multi-Step Equations

- Walk me through this one.
- Example 4:
5x( 3 – 2) – 12 = 2( 3x + 5) + 20

Multi-Step Equations

- Work on this one with your partner.
- Example 5:
10( 4 + 2x) -20 + 5x = 12x – 5 + 8x

Multi-Step Equations

- Work on this one with your partner.
- Example 6:
3( 6 – 2x) + 10 – 12x = 30x – 15 + 3(x – 4)

Multi-Step Equations

- Work on this one on your own.
- Example 7:
5(6 – 4x) + 25 – 10x = 4x + 12 – 9x + 7

Multi-Step Equations

- Work on this one on your own.
- Example 8:
9( 3x – 7) + 6x = 26 – 14x + 12 – 6x

Multi-Step Equations

- Work on this one on your own.
- Example 9:

Multi-Step Equations

- Work on this one on your own.
- Example 10:

Multi-Step Equations

- Work on this one on your own.
- Example 11:

Multi-Step Equations

- Work on this one on your own.
- Example 12:

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

You must work SILENTLY and INDEPENDENTLY.

HOMEWORK – Worksheet

Exit Ticket

- Homework -

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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