Unit 3, Week 3

Unit 3, Week 3Multi-Step EquationsDo Now (20/2), (11 x 2) Pick up your guided notes and tracker and respond to the following SILENTLY & INDEPENDENTLY:Solve for c.-10 + c = 30

Solve for x.(4/x) 20 = 40 Homework / Make Up Work RemindersSTILL 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 doesnt affect your grade later and you cant 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 Letters3rd PeriodGerardoCordariusAnthonyJoshChynaKhyleeMarshalaJaWaun

5th PeriodOlivia6th PeriodQuintonBrandonArlandreGregDeriyaDashaJalenKennyJaileneJaylaJermaineJimSkylerIsiahTavious7th PeriodAnnasJermaineTieraJaredJasminMirelysKhadijaJackKeonaZakiyaWhitneyKameronZaynaEsmeraldaLatarylAustinCynthiaTinayaWillie

Report Card Progress Letters 3rd PeriodCordariusAnthonyJoshChynaKhylee

6th PeriodArlandreMelanieFredGregDeriyaJalenKennyIsiahTavious

7th PeriodAnnasKhadijaJackKeonaZaynaLatarylAustinCynthiaTinaya

Homework Mathletes Everything turned in!3rd PeriodTyrekQuinTerioJacob P.

5th PeriodTristanTorezAliciahReggieAbdulBrandonRobynnBelenVickiWesleyMario6th PeriodJailene

7th PeriodAutumunGraceShaquannaAmiya

100% Mathletes!3rd PeriodCordarius5th PeriodTorez6th PeriodNone7th PeriodChrisJermaine

85% or Higher!3rd PeriodMarshala

5th PeriodBobbiKatelynAliciahTyunRobynnJalenAnnalieseVicki6th PeriodTyleshaAntonioDorian C.StevenEllie

7th PeriodAmiyaZakiya

Class AveragesTracking Your ProgressYou 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%

Add data10Week AgendaMonday Equations in fraction form the aquaintancesTuesday Equations with distributing in fraction form the enemiesWednesday Equations with Combining Like TermsThursday Equations with Combining Like TermsFriday Quiz over Monday Thursdays topicsTodays ObjectiveSWBAT solve equations in fraction form by getting rid of the acquaintances.Todays AgendaDo Now 5 minutesHomework/Make-Up Work Reminders 1 minuteShout Outs 2 minutesTracking 4 minutesWeek Agenda 1 minuteEquations with Fractions INM 8 minutesGP 10 minutesIP 12 minutesExit Ticket 5 minutes

With Multi-Step Equations it can be hard to know where to start. pretend its a party!You are the host - a.k.a. X

In what order do people leave a partyEnemies (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 equations2x = 8

x +3 = 15

x 5 = 20

FAMILY.right beside youand only you until the end!FRIENDS.they are close to youthey stay longer than some people, but not as long as family15Think back to the practice problems

The next slide will show an acquaintance.we will save enemies for later in the lesson after we practice a few problems together.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 friendit is an acquaintance.16Explain that the 3 isn't just dividing the host (x) but also the -5! Because it is affecting the entire problem, and keeping us from being alone with family/friendsthe acquaintance goes first.Identify all the Party-goers

ACQUAINTANCE FRIENDFAMILY17This slide is for identification practice only.Check comprehension to this point. Let the students think about who is family/friend/acquaintancethen click for answers.The next slide will show the same problem and discuss the actual solution.The equal sign is the doorwho goes out the door first?

ACQUAINTANCE multiply each side of the equation by 3.The work:

The result:We still have company... lets continue.EXAMPLE 1:18This slide shows the first stepGive students an opportunity to respondclick for steps until the result is shown.Remaining steps to followWho is next to leave?

Friends add 5 to each side.The work:

The result:All that is left is familya familiar one-step equation.19Give students an opportunity to respondclick for steps until the result is shown.

Clean up the party with a family member!

Family divide each side by 2

The work:The result:Dont forget to check your work with Order of Operations!20Who is family? The 2Divide each side by 2The party is over and X is alone on one side of the door!The next slide will offer a practice.followed by a slide with an enemy.REMEMBER - FOLLOW THE STEPS TO CLEAN UP THE PARTY!Steps:Identify the party-goersEliminate party-goers in orderEnemiesAcquaintancesFriendsFamilyGet x (the host) aloneCheck your solution

Multi-Step EquationsWatch as I walk through another example.Example 2:

Steps:Identify the party-goersEliminate party-goers in orderGet x (the host) aloneCheck your solutionMulti-Step EquationsWatch as I walk through one more example.Example 3:

Steps:Identify the party-goersEliminate party-goers in orderGet x (the host) aloneCheck your solutionMulti-Step EquationsWalk me through this one.Example 4:

Steps:Identify the party-goersEliminate party-goers in orderGet x (the host) aloneCheck your solutionMulti-Step EquationsWalk me through this one.Example 5:

Steps:Identify the party-goersEliminate party-goers in orderGet x (the host) aloneCheck your solutionMulti-Step EquationsWork on this one with your partner.Example 6:

Steps:Identify the party-goersEliminate party-goers in orderGet x (the host) aloneCheck your solutionMulti-Step EquationsWork on this one with your partner.Example 7:

Steps:Identify the party-goersEliminate party-goers in orderGet x (the host) aloneCheck your solutionMulti-Step EquationsWork on this one with your partner.Example 8:

Steps:Identify the party-goersEliminate party-goers in orderGet x (the host) aloneCheck your solutionMulti-Step EquationsWork on this one on your own.Example 9:

Steps:Identify the party-goersEliminate party-goers in orderGet x (the host) aloneCheck your solutionMulti-Step EquationsWork on this one on your own.Example 10:

Multi-Step EquationsWork on this one on your own.Example 11:

Multi-Step EquationsWork on this one on your own.Example 12:

Exit TicketEach 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.

Todays AgendaSWBAT 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 its a party!You are the host - a.k.a. X

In what order do people leave a partyEnemies (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 equations2x = 8

x +3 = 15

x 5 = 20

FAMILY.right beside youand only you until the end!FRIENDS.they are close to youthey stay longer than some people, but not as long as family38Think back to the practice problems

The next slide will show an acquaintance.we will save enemies for later in the lesson after we practice a few problems together.Its party time!Do you know who is in your home?

EnemyAcquaintanceFriendFamilyHOSTThe Door!See if you can ID the enemy, the friend, the acquaintance, a family member, the host and the door!39Write the equation on the board and let a student try to ID everything at the board.Let them phone a friend as needed.One click will reveal all parts.Enemies can ruin the entire partyget rid of them first!

Its easy to spot an enemythey affect everything!To solve, multiply each side by the reciprocal( the fraction flipped)The work:

The result:Try to complete the problem from here.the answer is:21Example 140The student should be able to compMulti-Step EquationsWatch as I review this example.Example 2:

Multi-Step EquationsWatch as I review this example.Example 3:

Multi-Step EquationsWalk me through this one.Example 4:

Multi-Step EquationsWalk me through this one.Example 5:

Multi-Step EquationsWork on this one with your partner.Example 6:

Multi-Step EquationsWork on this one with your partner.Example 7:

Multi-Step EquationsWork on this one with your partner.Example 8:

Multi-Step EquationsWork on this one on your own.Example 9:

Multi-Step EquationsWork on this one on your own.Example 10:

Multi-Step EquationsWork on this one on your own.Example 11:

Exit TicketEach 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 x 1) , (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 12x3x + 4 10x + 7-10 + 2x 5 + 4x

Todays ObjectiveSWBAT combine like terms to solve equations.Identifying the Parts of an Equation2x 5x2 + 10 + 7 x

Terms:Variables:Coefficients:Constants:Like terms:

List the terms, pay close attention to whether a term is positive or negative. (Each symbol belongs to the term that comes directly after it.

How many terms are there? What are terms separated by? (addition or subtraction)

What variables do we have?

What coefficients are there? (dont forget the invisible negative one)

What are the like terms? (What can we write as a definition of like terms? Terms that have the same variable(s) to the same exponent(s).)

55Combining Like TermsExample 1: 2x + 5x

Example 2:2x 5x

Example 3:2x(5x)

Focus on subtraction as adding a negative.

AND

Why do we end up with an x squared here but not in the other two?

56Combining Like TermsExample 4: -5y + 10y

Example 5:-5y 10y

Example 6:-5y(10y)

Example 7: 5x + 10y

Combining Like Terms in EquationsWatch as I solve this problem.Example 8:-10 + 4x 5 + 7x = -3 + 18x Combining Like Terms in EquationsWatch as I solve this problem.Example 9:3x 4 + 9x = 2x 10 5xCombining Like Terms in EquationsWatch as I solve this problem.Example 10:-2x 7+ 4x = 3x +5- 8x + 10Combining Like Terms in EquationsWalk me through this one.Example 11:-x 6 + 12x 32 = 5x 8 + 9x Combining Like Terms in EquationsWalk me through this one.Example 12: x 4.5 + 12x 12 = 15x 7 + 30x + 2 Combining Like Terms in EquationsWork on this one with your partner.Example 13: -5x + - 10 15x = 3x 14 + 7x - 10 Combining Like Terms in EquationsWork on this one with your partner.Example 14: -30 + 10x 20 15x = -6 + 12x 18 + 8xCombining Like Terms in EquationsWork on this one on your own.Example 15: 6y 13 + 10y 4y = -15 5y + 8yCombining Like Terms in EquationsWork on this one on your own.Example 16: 9x 20 + 12x 14 10 = 5x 7x + 4 - 10Exit TicketEach 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), 52Please 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 + 8xTodays ObjectiveSWBAT solve multi-step equations by combining like terms.Multi-Step EquationsExample 1: -(-1 + x) + 10x 15 = 3x -4(x 2) + 15x - 10Multi-Step EquationsWatch as I go through another example.Example 2: 2(-7 + x) 10x + 25 = -7x 35 + 12xMulti-Step EquationsWalk me through this one.Example 3: 3(4 + 2x) 3x + 20 = -12 + 30x (x 3)Multi-Step EquationsWalk me through this one.Example 4: 5x( 3 2) 12 = 2( 3x + 5) + 20Multi-Step EquationsWork on this one with your partner.Example 5: 10( 4 + 2x) -20 + 5x = 12x 5 + 8xMulti-Step EquationsWork on this one with your partner.Example 6: 3( 6 2x) + 10 12x = 30x 15 + 3(x 4)Multi-Step EquationsWork on this one on your own.Example 7: 5(6 4x) + 25 10x = 4x + 12 9x + 7Multi-Step EquationsWork on this one on your own.Example 8: 9( 3x 7) + 6x = 26 14x + 12 6xMulti-Step EquationsWork on this one on your own.Example 9:

Multi-Step EquationsWork on this one on your own.Example 10:

Multi-Step EquationsWork on this one on your own.Example 11:

Multi-Step EquationsWork on this one on your own.Example 12:

Exit TicketEach 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 100, (13 x 2) , 144Please 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.