SlideShare ist ein Scribd-Unternehmen logo
1 von 18
AIM:  How do we solve 2 step equations using algebra tiles? OBJECTIVE:  S.W.B.A.T. use algebra tiles or the puzzle method to solve 2 step equations Homework:  2 -step Equations Day 1 worksheet October 10, 2007 DO NOW Scales balance when the weights on them are equal.  Which equation is represented by the balance scale below ?
Using the properties of equality to solve equations –Do Now debrief OR x + x + -1 = x + 1 + 1 + 1 + 1 + 1  2x – 1  =  x + 5
Using algebra tiles to solve equations In Addition to puzzles we can also use algebra tiles to solve 2-step equations.  However we must first know how to use the tiles and what they stand for. negative x  positive x  positive 1  negative 1
Using algebra tiles to solve equations - The rules negative x  positive x  + =  0
Using algebra tiles to solve equations – The rules + =  0 positive 1  negative 1
Using algebra tiles to solve equations – Example 1 Solve  - 5 = 2x + 1 Goal: Variables on 1 side, numbers on other side
Using algebra tiles to solve equations – Example 1 continued  Now we need to move all numbers to the left. -5 = 2x + 1 Add a red box to each side of the fence Red and yellow cancel out -6 = 2x
Using algebra tiles to solve equations – Example 1 continued  -6 = 2x Now we see that each green bar is equal to 3 red rectangles so we can remove half of each side
Using algebra tiles to solve equations – Example 1 continued  -3 = x  Done! Now we see that one green bar is equal to 3 red rectangles
Using algebra tiles to solve equations – Example 1 continued  Now let’s check x = -3 using the original equation  - 5 = 2x + 1
Using algebra tiles to solve equations – Example 2  Solve -5 = - 3 x + 7
Using algebra tiles to solve equations – Example 2 continued  –  5  -3x + 7  Goal is to get all variables on one side of the fence Add three green bars to both sides to eliminate the red bars on the right
Using algebra tiles to solve equations – Example 2 continued  3x + -5  7 Goal is to get one variable alone on the left All variables on the right cancel each other out.
Using algebra tiles to solve equations – Example 2 continued  12 Now add five yellows to both sides to get rid of the numbers on the left. 3x Reds and yellows cancel
Using algebra tiles to solve equations – Example 2 continued  12 Now we can see that each green bar is equal to four yellows 3x
Using algebra tiles to solve equations – Example 2 continued  x  4  Goal is to get one  x on one side of the fence x = 4. Done ! Now let’s check using the original equation -5 = - 3 x + 7
Using the Puzzle method to solve equations – Example 3 Let’s Solve  - 5 = 2x + 1 using the puzzle method I’m thinking of a number.  x Multiply the number by 2 2x Add 1 2x + 1 You get -5 2x + 1 = -5 What number am I ? -5 – 1  -2 Work backwards!
Use algebra tiles or the puzzle method to solve  and check  the equations below ,[object Object],[object Object],[object Object]

Weitere ähnliche Inhalte

Was ist angesagt?

Solving System of Equations by Substitution
Solving System of Equations by SubstitutionSolving System of Equations by Substitution
Solving System of Equations by Substitution
Twinkiebear7
 
Estimating Products
Estimating ProductsEstimating Products
Estimating Products
angiebski4
 
Multiplication and division of fractions
Multiplication and division of fractionsMultiplication and division of fractions
Multiplication and division of fractions
Nancy Madarang
 
5.2 Solving Quadratic Equations by Factoring
5.2 Solving Quadratic Equations by Factoring5.2 Solving Quadratic Equations by Factoring
5.2 Solving Quadratic Equations by Factoring
hisema01
 
Inequalities ppt revised
Inequalities ppt revisedInequalities ppt revised
Inequalities ppt revised
troxellm
 
Solving Equations With Variables On Both Sides[1]
Solving Equations With Variables On Both Sides[1]Solving Equations With Variables On Both Sides[1]
Solving Equations With Variables On Both Sides[1]
cdanstrom
 

Was ist angesagt? (20)

Systems of Equations by Elimination
Systems of Equations by EliminationSystems of Equations by Elimination
Systems of Equations by Elimination
 
9.1 Systems of Linear Equations
9.1 Systems of Linear Equations9.1 Systems of Linear Equations
9.1 Systems of Linear Equations
 
Factoring Trinomials
Factoring TrinomialsFactoring Trinomials
Factoring Trinomials
 
Solving System of Equations by Substitution
Solving System of Equations by SubstitutionSolving System of Equations by Substitution
Solving System of Equations by Substitution
 
Order of operations
Order of operationsOrder of operations
Order of operations
 
Math 7 lesson 5 subtraction of integers
Math 7 lesson 5 subtraction of integersMath 7 lesson 5 subtraction of integers
Math 7 lesson 5 subtraction of integers
 
Combining Algebra Like Terms
Combining Algebra Like TermsCombining Algebra Like Terms
Combining Algebra Like Terms
 
Subtracting integers
Subtracting integersSubtracting integers
Subtracting integers
 
Estimating Products
Estimating ProductsEstimating Products
Estimating Products
 
Multiplication and division of fractions
Multiplication and division of fractionsMultiplication and division of fractions
Multiplication and division of fractions
 
Solving Quadratic Equation by Completing the Square.pptx
Solving Quadratic Equation by Completing the Square.pptxSolving Quadratic Equation by Completing the Square.pptx
Solving Quadratic Equation by Completing the Square.pptx
 
5.2 Solving Quadratic Equations by Factoring
5.2 Solving Quadratic Equations by Factoring5.2 Solving Quadratic Equations by Factoring
5.2 Solving Quadratic Equations by Factoring
 
Fractions for 7th standard students by Rajeshree K. Bhanushali
Fractions for 7th standard students  by Rajeshree K. Bhanushali Fractions for 7th standard students  by Rajeshree K. Bhanushali
Fractions for 7th standard students by Rajeshree K. Bhanushali
 
Inequalities ppt revised
Inequalities ppt revisedInequalities ppt revised
Inequalities ppt revised
 
Multiplying and dividing decimals
Multiplying and dividing decimalsMultiplying and dividing decimals
Multiplying and dividing decimals
 
PEMDAS - The Proper Order of Mathematical Operations
PEMDAS - The Proper Order of Mathematical OperationsPEMDAS - The Proper Order of Mathematical Operations
PEMDAS - The Proper Order of Mathematical Operations
 
Rational numbers in the number line
Rational numbers in the number line Rational numbers in the number line
Rational numbers in the number line
 
Solving Equations With Variables On Both Sides[1]
Solving Equations With Variables On Both Sides[1]Solving Equations With Variables On Both Sides[1]
Solving Equations With Variables On Both Sides[1]
 
Solving problems involving linear equations
Solving problems involving linear equationsSolving problems involving linear equations
Solving problems involving linear equations
 
Myp10 system of linear equations with solution
Myp10 system of linear equations with solutionMyp10 system of linear equations with solution
Myp10 system of linear equations with solution
 

Ähnlich wie Solving Two Step Equations Using Algebra Tiles

Linear equations
Linear equationsLinear equations
Linear equations
hisema01
 
Algebra Tiles Pp Version 2
Algebra Tiles Pp   Version 2Algebra Tiles Pp   Version 2
Algebra Tiles Pp Version 2
guest880c6c
 
Solution of linear equation & inequality
Solution of linear equation & inequalitySolution of linear equation & inequality
Solution of linear equation & inequality
florian Manzanilla
 
Algebra Review for General Chemistry Placement
Algebra Review for General Chemistry PlacementAlgebra Review for General Chemistry Placement
Algebra Review for General Chemistry Placement
jwallach
 
Harkeerit&Kyra
Harkeerit&KyraHarkeerit&Kyra
Harkeerit&Kyra
kpwise
 

Ähnlich wie Solving Two Step Equations Using Algebra Tiles (20)

Equations Revision
Equations RevisionEquations Revision
Equations Revision
 
Equations Revision
Equations RevisionEquations Revision
Equations Revision
 
Linear equations
Linear equationsLinear equations
Linear equations
 
Algebra Tiles Pp Version 2
Algebra Tiles Pp   Version 2Algebra Tiles Pp   Version 2
Algebra Tiles Pp Version 2
 
inequalities
 inequalities inequalities
inequalities
 
Solving inequalities
Solving inequalitiesSolving inequalities
Solving inequalities
 
Algebra with fractions - Worked solutions
Algebra with fractions - Worked solutionsAlgebra with fractions - Worked solutions
Algebra with fractions - Worked solutions
 
Class Presentation Math 1
Class Presentation Math 1Class Presentation Math 1
Class Presentation Math 1
 
Class Presentation Math 1
Class Presentation Math 1Class Presentation Math 1
Class Presentation Math 1
 
AFS Math 2
AFS Math 2AFS Math 2
AFS Math 2
 
Resolver inecuaciones 2009.pdf
Resolver inecuaciones 2009.pdfResolver inecuaciones 2009.pdf
Resolver inecuaciones 2009.pdf
 
Unit 1 1 algebra review
Unit 1 1 algebra reviewUnit 1 1 algebra review
Unit 1 1 algebra review
 
Solution of linear equation & inequality
Solution of linear equation & inequalitySolution of linear equation & inequality
Solution of linear equation & inequality
 
Algebra Review for General Chemistry Placement
Algebra Review for General Chemistry PlacementAlgebra Review for General Chemistry Placement
Algebra Review for General Chemistry Placement
 
Maths
MathsMaths
Maths
 
Algebra 1. 9.7 Lesson. Absolute Value
Algebra 1.  9.7 Lesson. Absolute ValueAlgebra 1.  9.7 Lesson. Absolute Value
Algebra 1. 9.7 Lesson. Absolute Value
 
Harkeerit&Kyra
Harkeerit&KyraHarkeerit&Kyra
Harkeerit&Kyra
 
basic algebra
basic algebrabasic algebra
basic algebra
 
Simultaneous Equations
Simultaneous EquationsSimultaneous Equations
Simultaneous Equations
 
Holt Solve Equations with Variables on Both Sides
Holt Solve Equations with Variables on Both SidesHolt Solve Equations with Variables on Both Sides
Holt Solve Equations with Variables on Both Sides
 

Kürzlich hochgeladen

Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers:  A Deep Dive into Serverless Spatial Data and FMECloud Frontiers:  A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
Safe Software
 
+971581248768>> SAFE AND ORIGINAL ABORTION PILLS FOR SALE IN DUBAI AND ABUDHA...
+971581248768>> SAFE AND ORIGINAL ABORTION PILLS FOR SALE IN DUBAI AND ABUDHA...+971581248768>> SAFE AND ORIGINAL ABORTION PILLS FOR SALE IN DUBAI AND ABUDHA...
+971581248768>> SAFE AND ORIGINAL ABORTION PILLS FOR SALE IN DUBAI AND ABUDHA...
?#DUbAI#??##{{(☎️+971_581248768%)**%*]'#abortion pills for sale in dubai@
 
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers:  A Deep Dive into Serverless Spatial Data and FMECloud Frontiers:  A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
Safe Software
 
Modular Monolith - a Practical Alternative to Microservices @ Devoxx UK 2024
Modular Monolith - a Practical Alternative to Microservices @ Devoxx UK 2024Modular Monolith - a Practical Alternative to Microservices @ Devoxx UK 2024
Modular Monolith - a Practical Alternative to Microservices @ Devoxx UK 2024
Victor Rentea
 
Why Teams call analytics are critical to your entire business
Why Teams call analytics are critical to your entire businessWhy Teams call analytics are critical to your entire business
Why Teams call analytics are critical to your entire business
panagenda
 

Kürzlich hochgeladen (20)

MS Copilot expands with MS Graph connectors
MS Copilot expands with MS Graph connectorsMS Copilot expands with MS Graph connectors
MS Copilot expands with MS Graph connectors
 
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers:  A Deep Dive into Serverless Spatial Data and FMECloud Frontiers:  A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
 
Connector Corner: Accelerate revenue generation using UiPath API-centric busi...
Connector Corner: Accelerate revenue generation using UiPath API-centric busi...Connector Corner: Accelerate revenue generation using UiPath API-centric busi...
Connector Corner: Accelerate revenue generation using UiPath API-centric busi...
 
Polkadot JAM Slides - Token2049 - By Dr. Gavin Wood
Polkadot JAM Slides - Token2049 - By Dr. Gavin WoodPolkadot JAM Slides - Token2049 - By Dr. Gavin Wood
Polkadot JAM Slides - Token2049 - By Dr. Gavin Wood
 
Apidays New York 2024 - APIs in 2030: The Risk of Technological Sleepwalk by ...
Apidays New York 2024 - APIs in 2030: The Risk of Technological Sleepwalk by ...Apidays New York 2024 - APIs in 2030: The Risk of Technological Sleepwalk by ...
Apidays New York 2024 - APIs in 2030: The Risk of Technological Sleepwalk by ...
 
ICT role in 21st century education and its challenges
ICT role in 21st century education and its challengesICT role in 21st century education and its challenges
ICT role in 21st century education and its challenges
 
+971581248768>> SAFE AND ORIGINAL ABORTION PILLS FOR SALE IN DUBAI AND ABUDHA...
+971581248768>> SAFE AND ORIGINAL ABORTION PILLS FOR SALE IN DUBAI AND ABUDHA...+971581248768>> SAFE AND ORIGINAL ABORTION PILLS FOR SALE IN DUBAI AND ABUDHA...
+971581248768>> SAFE AND ORIGINAL ABORTION PILLS FOR SALE IN DUBAI AND ABUDHA...
 
Elevate Developer Efficiency & build GenAI Application with Amazon Q​
Elevate Developer Efficiency & build GenAI Application with Amazon Q​Elevate Developer Efficiency & build GenAI Application with Amazon Q​
Elevate Developer Efficiency & build GenAI Application with Amazon Q​
 
Understanding the FAA Part 107 License ..
Understanding the FAA Part 107 License ..Understanding the FAA Part 107 License ..
Understanding the FAA Part 107 License ..
 
CNIC Information System with Pakdata Cf In Pakistan
CNIC Information System with Pakdata Cf In PakistanCNIC Information System with Pakdata Cf In Pakistan
CNIC Information System with Pakdata Cf In Pakistan
 
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers:  A Deep Dive into Serverless Spatial Data and FMECloud Frontiers:  A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
 
"I see eyes in my soup": How Delivery Hero implemented the safety system for ...
"I see eyes in my soup": How Delivery Hero implemented the safety system for ..."I see eyes in my soup": How Delivery Hero implemented the safety system for ...
"I see eyes in my soup": How Delivery Hero implemented the safety system for ...
 
Rising Above_ Dubai Floods and the Fortitude of Dubai International Airport.pdf
Rising Above_ Dubai Floods and the Fortitude of Dubai International Airport.pdfRising Above_ Dubai Floods and the Fortitude of Dubai International Airport.pdf
Rising Above_ Dubai Floods and the Fortitude of Dubai International Airport.pdf
 
Modular Monolith - a Practical Alternative to Microservices @ Devoxx UK 2024
Modular Monolith - a Practical Alternative to Microservices @ Devoxx UK 2024Modular Monolith - a Practical Alternative to Microservices @ Devoxx UK 2024
Modular Monolith - a Practical Alternative to Microservices @ Devoxx UK 2024
 
Web Form Automation for Bonterra Impact Management (fka Social Solutions Apri...
Web Form Automation for Bonterra Impact Management (fka Social Solutions Apri...Web Form Automation for Bonterra Impact Management (fka Social Solutions Apri...
Web Form Automation for Bonterra Impact Management (fka Social Solutions Apri...
 
Apidays New York 2024 - Passkeys: Developing APIs to enable passwordless auth...
Apidays New York 2024 - Passkeys: Developing APIs to enable passwordless auth...Apidays New York 2024 - Passkeys: Developing APIs to enable passwordless auth...
Apidays New York 2024 - Passkeys: Developing APIs to enable passwordless auth...
 
Mcleodganj Call Girls 🥰 8617370543 Service Offer VIP Hot Model
Mcleodganj Call Girls 🥰 8617370543 Service Offer VIP Hot ModelMcleodganj Call Girls 🥰 8617370543 Service Offer VIP Hot Model
Mcleodganj Call Girls 🥰 8617370543 Service Offer VIP Hot Model
 
How to Troubleshoot Apps for the Modern Connected Worker
How to Troubleshoot Apps for the Modern Connected WorkerHow to Troubleshoot Apps for the Modern Connected Worker
How to Troubleshoot Apps for the Modern Connected Worker
 
DBX First Quarter 2024 Investor Presentation
DBX First Quarter 2024 Investor PresentationDBX First Quarter 2024 Investor Presentation
DBX First Quarter 2024 Investor Presentation
 
Why Teams call analytics are critical to your entire business
Why Teams call analytics are critical to your entire businessWhy Teams call analytics are critical to your entire business
Why Teams call analytics are critical to your entire business
 

Solving Two Step Equations Using Algebra Tiles

  • 1. AIM: How do we solve 2 step equations using algebra tiles? OBJECTIVE: S.W.B.A.T. use algebra tiles or the puzzle method to solve 2 step equations Homework: 2 -step Equations Day 1 worksheet October 10, 2007 DO NOW Scales balance when the weights on them are equal. Which equation is represented by the balance scale below ?
  • 2. Using the properties of equality to solve equations –Do Now debrief OR x + x + -1 = x + 1 + 1 + 1 + 1 + 1 2x – 1 = x + 5
  • 3. Using algebra tiles to solve equations In Addition to puzzles we can also use algebra tiles to solve 2-step equations. However we must first know how to use the tiles and what they stand for. negative x positive x positive 1 negative 1
  • 4. Using algebra tiles to solve equations - The rules negative x positive x + = 0
  • 5. Using algebra tiles to solve equations – The rules + = 0 positive 1 negative 1
  • 6. Using algebra tiles to solve equations – Example 1 Solve - 5 = 2x + 1 Goal: Variables on 1 side, numbers on other side
  • 7. Using algebra tiles to solve equations – Example 1 continued Now we need to move all numbers to the left. -5 = 2x + 1 Add a red box to each side of the fence Red and yellow cancel out -6 = 2x
  • 8. Using algebra tiles to solve equations – Example 1 continued -6 = 2x Now we see that each green bar is equal to 3 red rectangles so we can remove half of each side
  • 9. Using algebra tiles to solve equations – Example 1 continued -3 = x Done! Now we see that one green bar is equal to 3 red rectangles
  • 10. Using algebra tiles to solve equations – Example 1 continued Now let’s check x = -3 using the original equation - 5 = 2x + 1
  • 11. Using algebra tiles to solve equations – Example 2 Solve -5 = - 3 x + 7
  • 12. Using algebra tiles to solve equations – Example 2 continued – 5 -3x + 7 Goal is to get all variables on one side of the fence Add three green bars to both sides to eliminate the red bars on the right
  • 13. Using algebra tiles to solve equations – Example 2 continued 3x + -5 7 Goal is to get one variable alone on the left All variables on the right cancel each other out.
  • 14. Using algebra tiles to solve equations – Example 2 continued 12 Now add five yellows to both sides to get rid of the numbers on the left. 3x Reds and yellows cancel
  • 15. Using algebra tiles to solve equations – Example 2 continued 12 Now we can see that each green bar is equal to four yellows 3x
  • 16. Using algebra tiles to solve equations – Example 2 continued x 4 Goal is to get one x on one side of the fence x = 4. Done ! Now let’s check using the original equation -5 = - 3 x + 7
  • 17. Using the Puzzle method to solve equations – Example 3 Let’s Solve - 5 = 2x + 1 using the puzzle method I’m thinking of a number. x Multiply the number by 2 2x Add 1 2x + 1 You get -5 2x + 1 = -5 What number am I ? -5 – 1 -2 Work backwards!
  • 18.

Hinweis der Redaktion

  1. Materials: class set of algebra tiles Give points for homework