TIPS4Math Grade 9 AppliedSolving Equations

Overall ExpectationsStudents will:• simplify numerical and polynomial expressions in one variable, and solve first degree equations (NAV.02)• demonstrate an understanding of constant rate of change and its connection to linear relations (LRV.03)• connect various representations of a linear relation, and solve problems using the representations (LRV.04)Specific ExpectationsStudents will:• describe the relationship between the algebraic and geometric representations of a single-variable term up to degree three [i.e., length, which is one dimensional, can be represented by x; area, which is two dimensional, can be represented by (x)(x) or x2; volume, which is three dimensional, can be represented by (x)(x)(x), (x2)(x), or x3 (NA2.03)• solve first-degree equations with non-fractional coefficients, using a variety of tools and strategies (NA2.07)• substitute into algebraic equations and solve for one variable in the first degree (NA2.08)• describe the meaning of the rate of change and the initial value for a linear relation arising from a realistic situation, and describe a situation that could be modeled by a given linear equation (LR3.05)• determine values of a linear relation by using a table of values, by using the equation of the relation, and by interpolating or extrapolating from the graph of the relation (LR4.01)• determine other representations of a linear relation arising from a realistic situation, given one representation (LR4.03)• determine graphically the point of intersection of two linear relations, and interpret the intersection point in the context of an application (LR4.06)

Lessons: • Algebra Introduction • Solving Equations Using Algebra Tiles • Solving Equations Using a Balance Model • Solving Equations Algebraically • Mathematical Models • Comparing Two Linear Relations

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TIPS4Math Grade 9 AppliedAlgebra Introduction

Specific Expectations: NA2.03Learning Focus Blended Learning Other Resources

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Translate words into algebraic Unit 6 Activity 1: Introduction to Algebra TIPS4RM expressions o OERB Resource ID: ELO1466100 • Unit 7 Day 4: Simplifying Algebraic Models

• Model algebraic expressions using algebra tiles Explore Gap Closing I/S

• Translate algebraic expressions into • Integer Tiles Addition • Module 3 Integers: Facilitator’s Guidewords • Using Algebraic Expressions Gizmo o Diagnostic questions 6 - 10

• Translate geometric models (algebra • Module 3 Integer: Student Booktiles) into algebraic expressions Investigation • Module 6 Algebraic Expressions:

• Translate geometric models (algebra • Algebra Tiles Modelling Expressions Facilitator’s Guidetiles) into words • Module 6 Algebraic Expressions: Student

Video Book• Who Cares About Algebra o Pages 6-10

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TIPS4Math Grade 9 AppliedSolving Equations Using Algebra Tiles

Specific Expectations: NA2.07 Learning Focus Blended Learning Other Resources

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Explain the difference between an expression and an equationUse the guess and check method to solve a linear equationUse algebra tiles to model a linear equationUse algebra tiles to solve a linear equation

Unit 6 Activity 2: Solving Equations Using Algebra Tileso OERB Resource ID: ELO1466110

Explore • Mystery of the Unknown Quantity o ELO1413440

Investigation• Rex and Tex Part 1: Zero Pairs o ELO1413880

Practice• Virtual Algebra Tiles

TIPS4RM • Unit 6 Day 1: Solving Equations (Part 1) o The Equation Game.ppt• Unit 6 Day 2: Solving Equations (Part 2)

Homework Help• What Are Like Terms? (Section 2)

Gizmos• Modeling One Step Equations

Gap Closing I/S• Module 3 Integers: Facilitator’s Guide• Module 3 Integers: Student Book

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TIPS4Math Grade 9 AppliedSolving Equations Using a Balance Model

Specific Expectations: NA2.07Learning Focus Blended Learning Other Resources

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Model linear equations using a balance modelSolve linear equations involving both positive and negative quantities using a balance model

Unit 6 Activity 3: Solving Equations Using Balance Modelo OERB Resource ID: ELO1466120

Explore• Rex and Tex Part 2: Balancing Act o ELO1413890

Investigation• Balance Model Positive• Balance Model Negative

a TIPS4RM• Unit 6 Day 2: Solving Equations (Part 2)

Gizmos• Modeling and Solving Two-Step Equations

Solve Me Mobiles• Solve Me Mobiles

YouTube• Solve Me Puzzle - Silent Solution

Annenberg Learner• Algebra Balance Scale

NCTM Illuminations: • Pan Balance - Shapes

Gap Closing I/S• Module 7 Solving Equations: Facilitator’s Guide• Module 7 Solving Equations: Student Book o Pages 11-15

Practice • Model Algebra

Video• Balancing Method

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TIPS4Math Grade 9 AppliedSolving Equations Algebraically

Specific Expectations: NA2.07Learning Focus

Blended Learning Other Resources• Select and apply inverse operations to

solve equations algebraicallyUnit 6 Activity 4: Solving Equations Algebraicallyo OERB Resource ID: ELO1466130

Practice • Hoop Shoot game (Level 1 and 2)• Equations Level 1• Equations Level 2• Match the Solution to Solve the Equation o ELO1084730

Videos• Solving Equations Using Inverse Operations Ex 1• Solving Equations Using Inverse Operations Ex 2• Solving Equations Using Inverse Operations Ex 3• Solving Equations using Inverse Operations Ex. 4 & 5

TIPS4RM • Unit 6 Day 2: Solving Equations (Part 2)

Homework Help• Solving Equations - Multi-step Solutions

NCTM Illuminations• Algebra Tiles

OERB• Solve the Equation o ELO1084730

Gap Closing I/S• Module 7 Solving Equations: Facilitator’s Guide• Module 7 Solving Equations: Student Book o Pages 17 - 20

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TIPS4Math Grade 9 AppliedMathematical Models

Specific Expectations: NA2.08, LR 3.05, LR4.01, LR4.03 Learning Focus Blended Learning Other Resources

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Represent a linear relation using either Unit 6 Activity 5: Mathematical Models TIPS4RM a numerical, algebraic or o OERB Resource ID: ELO1466140 • Unit 6 Day 3: Solving Equations (Part 3)graphical model • Unit 6 Day 4: Planning a Special Event

• Interpret a linear relation given a Explore (Part 1)numerical, algebraic or graphical model • Desmos Graphing Calculator

• Create a different model from a given model of a linear relation Videos

• Desmos Tutorial• Crazy Taxi Ride

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TIPS4Math Grade 9 AppliedComparing Two Linear Relations

Specific Expectations: LR4.06Learning Focus

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Represent two linear relations as graphsInterpret the point of intersection of two linear relations in the context of a real-life situationInterpret the differences between two linear relations in the context of real-life situations

Unit 6 Activity 6: Comparing Two Linear Relationso OERB Resource ID: ELO1466150

Explore• Cat and Mouse Gizmo

Investigation• Distance-Time (Two runners) Gizmo

Practice • Are You Ready to Explain My Point o ELO1241270

Video• Desmos Phone Plan• Landscape Architecture

TIPS4RM • Unit 6 Day 4: Planning a Special Event (Part 1)• Unit 6 Day 5: Planning a Special Event (Part 2)• Unit 6 Day 6: Kitty’s Kennel

Homework Help• Find the Point of Intersection By Graphing

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TIPS4Math Grade 9 AppliedAlgebra IntroductionResource URLBlended Learning: https://download.elearningontario.ca/repository/14/1466100000/MFM1PPU06A01/overview.htmlUnit 6 Activity 1: Introduction to AlgebraInteger Tiles Addition http://nlvm.usu.edu/en/nav/frames_asid_161_g_2_t_1.htmlUsing Algebraic Expressions https://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=257&-Gizmo ClassID=0Algebra Tiles Modelling http://media.mivu.org/mvu_pd/a4a/homework/applets_expressions.html#topExpressionsWho Cares About Algebra https://www.youtube.com/watch?v=KHUfbEcfMo0TIPS4RM: http://www.edugains.ca/resourcesMath/CE/LessonsSupports/TIPS4RM/Grade9Applied/Unit7_Al-Unit 7 Day 4: Simplifying Algebraic gebraicModels.pdfModelsGap Closing: I/S http://www.edugains.ca/resourcesMath/CE/LessonsSupports/GapClosing/NumberSense_Int-Se-Module 3 Integers: Facilitator’s nior/3-Integers_FG_IS.pdfGuideGap Closing: I/S http://www.edugains.ca/resourcesMath/CE/LessonsSupports/GapClosing/NumberSense_Int-Se-Module 3 Integer: Student Book nior/3-Integers_SB_IS.pdfGap Closing: I/S http://www.edugains.ca/resourcesMath/CE/LessonsSupports/GapClosing/NumberSense_Int-Se-Module 6 Algebraic Expressions: nior/6-AlgebraicExp_FG_IS.pdfFacilitator’s GuideGap Closing: I/S http://www.edugains.ca/resourcesMath/CE/LessonsSupports/GapClosing/NumberSense_Int-Se-Module 6 Algebraic Expressions: nior/6-AlgebraicExp_SB_IS.pdfStudent Book

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TIPS4Math Grade 9 AppliedSolving Equations Using Algebra TilesResource URLBlended Learning: https://download.elearningontario.ca/repository/14/1466110000/MFM1PPU06A02/over-Unit 6 Activity 2: Solving Equations Using view.htmlAlgebra TilesMystery of the Unknown Quantity https://download.elearningontario.ca/repository/14/1413440000/Jouppi_Gr6VariablesPt3.

htmlRex and Tex Part 1: Zero Pairs https://download.elearningontario.ca/repository/14/1413880000/LO1161%20-%20

Rex%20and%20Tex%20Part1/LO1161.htmlVirtual Algebra Tiles http://media.mivu.org/mvu_pd/a4a/homework/equations_practice_intro.htmlTIPS4RM: http://www.edugains.ca/resourcesMath/CE/LessonsSupports/TIPS4RM/Grade9Applied/Unit 6 Day 1: Solving Equations (Part 1) Unit6_MultipleRepresentations.pdfThe Equation Game http://www.edugains.ca/resourcesMath/CE/LessonsSupports/TIPS4RM/Grade9Applied/

Unit6_EquationGame.pptTIPS4RM: http://www.edugains.ca/resourcesMath/CE/LessonsSupports/TIPS4RM/Grade9Applied/ Unit 6 Day 2: Solving Equations (Part 2) Unit6_MultipleRepresentations.pdfHomework Help: https://homeworkhelp.ilc.org/tutorials/html5/index.php?object_id=490#/tutorial/39/sec-What Are Like Terms? (Section 2) tion/1/page/0Gizmos: https://www.explorelearning.com/index.cfm?method=cResource.dspView&Re-Modeling One Step Equations sourceID=109Gap Closing: I/S http://www.edugains.ca/resourcesMath/CE/LessonsSupports/GapClosing/NumberSense_Module 3 Integers: Facilitator’s Guide Int-Senior/3-Integers_FG_IS.pdfGap Closing: I/S http://www.edugains.ca/resourcesMath/CE/LessonsSupports/GapClosing/NumberSense_Module 3 Integers: Student Book Int-Senior/3-Integers_SB_IS.pdf

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TIPS4Math Grade 9 AppliedSolving Equations Using a Balance ModelResource URLBlended Learning: https://download.elearningontario.ca/repository/14/1466120000/MFM1PPU06A03/over-Unit 6 Activity 3: Solving Equations Using view.htmla Balance ModelRex and Tex Part 2: Balancing Act https://download.elearningontario.ca/repository/14/1413890000/LO1162%20-%20

Rex%20and%20Tex%20Part2/LO1162.htmlBalance Model Positive http://nlvm.usu.edu/en/nav/frames_asid_201_g_3_t_2.html?open=instructions&from=cat-

egory_g_3_t_2.htmlBalance Model Negative http://nlvm.usu.edu/en/nav/frames_asid_324_g_3_t_2.html?open=instructions&from=cat-

egory_g_3_t_2.htmModel Algebra http://www.mathplayground.com/AlgebraEquations.htmlBalancing Method http://www.heymath.com/main/samples/us18/teacherstemplate.htmlTIPS4RM http://www.edugains.ca/resourcesMath/CE/LessonsSupports/TIPS4RM/Grade9Applied/Unit 6 Day 2: Solving Equations (Part 2) Unit6_MultipleRepresentations.pdfGizmos: https://www.explorelearning.com/index.cfm?method=cResource.dspView&Re-Modeling and Solving Two-Step Equations sourceID=226Solve Me Mobiles https://solveme.edc.org/Mobiles.htmlSolve Me Puzzle - Silent Solution https://www.youtube.com/watch?v=3atmx7TIvPIAnnenberg Learner: http://www.learner.org/courses/learningmath/algebra/session6/part_c/index.htmlAlgebra Balance ScaleNCTM Illuminations: http://illuminations.nctm.org/Activity.aspx?id=3531Pan Balance - ShapesGap Closing: I/S http://www.edugains.ca/resourcesMath/CE/LessonsSupports/GapClosing/NumberSense_Module 7 Solving Equations: Int-Senior/7-SolvingEquations_FG_IS.pdfFacilitator’s GuideGap Closing: I/S http://www.edugains.ca/resourcesMath/CE/LessonsSupports/GapClosing/NumberSense_Module 7 Solving Equations: Int-Senior/7-SolvingEquations_SB_IS.pdfStudent Book

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TIPS4Math Grade 9 AppliedSolving Equations AlgebraicallyResource URLBlended Learning: https://download.elearningontario.ca/repository/14/1466130000/MFM1PPU06A04/overview.Unit 6 Activity 4: Solving Equations htmlAlgebraicallyHoop Shoot game http://www.math-play.com/One-Step-Equation-Game.htmlEquations Level 1 http://www.transum.org/software/SW/Starter_of_the_day/Students/Equations.aspEquations Level 2 http://www.transum.org/software/SW/Starter_of_the_day/Students/Equations.asp?Level=2Match the Solution to Solve the Equa- https://download.elearningontario.ca/repository/1084730000/134_Match_Solution_Equa-tion tion.htmlSolving Equations Using Inverse https://www.youtube.com/watch?v=PovFPa3-bjwOperations Ex 1Solving Equations Using Inverse https://www.youtube.com/watch?v=aclwyrKDQC4Operations Ex 2Solving Equations Using Inverse https://www.youtube.com/watch?v=5vSFtIB9pZwOperations Ex 3Solving Equations using Inverse https://www.youtube.com/watch?v=fpDozh7VeI4Operations Ex. 4 & 5TIPS4RM http://www.edugains.ca/resourcesMath/CE/LessonsSupports/TIPS4RM/Grade9Applied/Unit 6 Day 2: Solving Equations (Part 2) Unit6_MultipleRepresentations.pdfHomework Help: https://homeworkhelp.ilc.org/tools/listen_learn/details.php?t_id=281Solving Equations - Multi-step SolutionsNCTM Illuminations: http://illuminations.nctm.org/Activity.aspx?id=3482Algebra TilesOERB: https://download.elearningontario.ca/repository/1084730000/134_Match_Solution_Equa-Solve the Equation tion.htmlGap Closing: I/S http://www.edugains.ca/resourcesMath/CE/LessonsSupports/GapClosing/NumberSense_Module 7 Solving Equations: Int-Senior/7-SolvingEquations_FG_IS.pdfFacilitator’s GuideGap Closing: I/S http://www.edugains.ca/resourcesMath/CE/LessonsSupports/GapClosing/NumberSense_Module 7 Solving Equations: Int-Senior/7-SolvingEquations_SB_IS.pdf Student Book

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TIPS4Math Grade 9 AppliedMathematical ModelsResource URLBlended Learning: https://download.elearningontario.ca/repository/14/1466140000/MFM1PPU06A05/over-Unit 6 Activity 5: Mathematical Models view.htmlDesmos Graphing Calculator https://www.desmos.com/calculatorDesmos Tutorial https://www.youtube.com/watch?v=jPuiaY7aL4YCrazy Taxi Ride https://www.youtube.com/watch?v=VB_pafCsUH0TIPS4RM: http://www.edugains.ca/resourcesMath/CE/LessonsSupports/TIPS4RM/Grade9Applied/Unit 6 Day 3: Solving Equations (Part 3) Unit6_MultipleRepresentations.pdfTIPS4RM: http://www.edugains.ca/resourcesMath/CE/LessonsSupports/TIPS4RM/Grade9Applied/Unit 6 Day 4: Planning a Special Event Unit6_MultipleRepresentations.pdf(Part 1)

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TIPS4Math Grade 9 AppliedComparing Two Linear RelationsResource URLBlended Learning: https://download.elearningontario.ca/repository/14/1466150000/MFM1PPU06A06/over-Unit 6 Activity 6: Comparing Two Linear view.htmlRelationsCat and Mouse Gizmo https://www.explorelearning.com/index.cfm?method=cResource.dspView&Re-

sourceID=623Distance-Time (Two runners) Gizmo https://www.explorelearning.com/index.cfm?method=cResource.dspView&Re-

sourceID=625Are You Ready to Explain My Point https://download.elearningontario.ca/repository/1241270000/MFM1PP_InterpretPointsIn-

tersect_v07.htmlDesmos Phone Plan https://www.youtube.com/watch?v=jTI4kDpVPZs;Landscape Architecture https://www.youtube.com/watch?v=tSBudZayrng&feature=youtu.beTIPS4RM: http://www.edugains.ca/resourcesMath/CE/LessonsSupports/TIPS4RM/Grade9Applied/Unit 6 Day 4: Planning a Special Event Unit6_MultipleRepresentations.pdf(Part 1)TIPS4RM: http://www.edugains.ca/resourcesMath/CE/LessonsSupports/TIPS4RM/Grade9Applied/Unit 6 Day 5: Planning a Special Event Unit6_MultipleRepresentations.pdf(Part 2)TIPS4RM: http://www.edugains.ca/resourcesMath/CE/LessonsSupports/TIPS4RM/Grade9Applied/Unit 6 Day 6: Kitty’s Kennel Unit6_MultipleRepresentations.pdfHomework Help: https://homeworkhelp.ilc.org/chat/chat.php?config=playback&question_id=413653&-Find the Point of Intersection By Graphing type=bs

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