Grade 7 Operations Involving Integers - EduGAINs

TIPS4MathGrade 7Operations Involving IntegersOverall ExpectationStudents will: Represent, compare, and order numbers, including integers (7m8) Demonstrate an understanding of addition and subtraction of fractions and integers, and apply a variety of computationalstrategies to solve problems involving whole numbers and decimal numbers (7m9)Specific ExpectationsStudents will: Represent and order integers, using a variety of tools (7m14) Add and subtract integers, using a variety of tools (7m26)LessonRepresent IntegersUsing CountersAdd Integers UsingCountersAdd Integers Using aNumber LineAddition of IntegersPracticeSubtract Integers UsingCountersSubtract Integers Usinga Number LineFact FamiliesLearning Focus Review representing integers using counters/tiles and number lines including zeropairsCombine/add integers using a variety of tools (e.g., two-colour counters,virtual manipulatives, number lines)Add integers within contextRecognize how zero pairs aid additionCombine/add integers using a number lineAdd integers within contextAdd integers with a variety of toolsInvestigate patterns within additionSubtract integers using a variety of tools (e.g., two-colour counters, virtualmanipulatives, number lines)Subtract integers within contextRecognize how zero pairs aid subtractionSubtract integers using a number lineSubtract integers within contextUse fact families to see the relationship between the addition and subtraction ofintegersChoose when to subtract or add integersSolve problems involving real-life contexts and addition and subtraction of integersProblem SolvingInvolving Addition andSubtraction of IntegersConsolidation and Summative 6Page 1 of 15

TIPS4MathSpecific Expectations: 7m14Learning FocusMindsOn Grade 7Represent Integers Using CountersReview the zero principleCreate zero pairsBlended LearningTeacher Guides Unit 1 Activity 2: Addition of IntegersOERB ID: ELO1471850 Unit 1 Activity 3: Subtraction of IntegersUnit 1 Activity 2: Minds OnOERB ID: ELO1471090 Representing Integers and the Zero PrincipleOERB ID: ELO1414350o two colour counters zero principle Anchor Charto zero principleo representing integersOther ResourcesTIPS4RM Grade 7 Unit 2:Describing Patterns and on intoIntegers Day 7: What are Integers Day 8: The Zero Principle Day 9: All Integers Come toOrdermathies Colour TilesNote: supplementation required for hands-on practicewith countersAction Review representing integersusing counters/tiles andnumber lines including zeropairsConsolidationEduGAINS-MathematicsPage 2 of 15

TIPS4MathSpecific Expectations: 7m14, 7m26Learning FocusMindsOn Action Represent integers usingcounters and write with integer notation (e.g., positive/negative, brackets)Combine/add integers usinga variety of tools (e.g.,two-colour counters, virtualmanipulatives, number lines)Add integers within contextRecognize how zero pairsaid additionGrade 7Add Integers Using CountersBlended LearningTeacher GuideUnit 1 Activity 2: Addition of IntegersOERB ID: ELO1471850Other ResourcesTIPS4RM Grade 7 Unit 2 Day 6: Patterning to Integers Day 10: Add Some Colour Day 13: Carouselmathies Colour TilesUnit 1 Activity 2: ActionOERB ID: ELO1471090 Representing the Addition of Bingo Chips withIntegersOERB ID: ELO1414360o addition with coloured counters Adding with Chipso chips and zero principle Anchor ChartNote: supplementation required to provide morehands-on experiencesGeometer’s Sketchpad Adding Integers with CountersGap Closing I/S Student Book:Integerspp 10 – 14Gap Closing I/S Facilitator’sGuide: Integerspp 14 – 20ConsolidationEduGAINS-MathematicsPage 3 of 15

TIPS4MathAdd Integers Using a Number LineSpecific Expectations: 7m14, 7m26Learning FocusBlended LearningTeacher GuideUnit 1 Activity 2: Addition of IntegersOERB ID: ELO1471850Minds Place integers on a numberlineOnAction Combine/add integers using Unit 1 Activity 2: Consolidation Grade 7a number lineAdd integers within contextConsolidationOther ResourcesTIPS4RM Grade 7 Unit 2: Describing Patterns andon into Integers Day 11: What’s Right About Adding and What’sLeft to Count? Day 13: CarouselmathiesAssignment 2: How Warm Did It Number LineGet?o Discussion about temperature Gizmos Adding and Subtracting IntegersNote: supplementation needed forother contextsGeoGebra Adding Integers (Vertical Number Line)Adding Integers (Horizontal Number Line)Desmos Adding IntegersGap Closing I/S Student Book: Integerspp 10 – 14Gap Closing I/S Facilitator’s Guide: Integerspp 14 – 20EduGAINS-MathematicsPage 4 of 15

TIPS4MathSpecific Expectations: 7m14, 7m26Learning FocusAddition of Integers PracticeBlended LearningTeacher GuideUnit 1 Activity 2: Addition of IntegersOERB ID: ELO1471850Minds Discuss multiple ways to model and Unit 1 Activity 2: Actionsolve an integer addition sentenceOERB ID: ELO1471090On Create a question related to ev Toolbox – Adding Integers Video [8:38]eryday life whose answer could beo number lines, tiles and patternsdetermined by this addition sentence Practice Adding Integerso worksheeto number lines and tileso real life situationsUnit 1 Activity 2: ConsolidationAction Add integers with a variety of tools Investigate patterns within addition Check Your Understandingo 25 questions, number lines, tiles,problemsUnit 1 Activity 2: ConsolidationConsolidation Assignment 1: Integer Quizo paper pencilo questions and word problemsEduGAINS-MathematicsGrade 7Other Resourcesmathies Number Line Colour TilesPage 5 of 15

TIPS4MathSubtract Integers Using CountersSpecific Expectations: 7m14, 7m26Learning FocusBlended LearningTeacher GuideUnit 1 Activity 3: Subtraction of IntegersOERB ID: ELO1471850Unit 1 Activity 3: Minds OnMinds Review fact families ConnectadditiontoOERB ID: ELO1471110Onsubtraction. Review of Fact Families Discussiono Can fact families involve integers?o What does the fact family for thisaddition sentence look like?10 (-2) 8Unit 1 Activity 3: ActionAction Subtract integers using avariety of tools (e.g., Subtraction Integers Video [9:47]o a decrease or differencetwo-colour counters, virtualmanipulatives, number lines)o number lines, counters and patterns Subtract integers within Anchor Chart on subtracting integers Adding and Subtracting with Chipscontext Recognize how zero pairs aido chips and zero principlesubtraction Practice Exerciseo paper pencilo number lines, tiles, real-life context Anchor ChartUnit 1 Activity 3: ConsolidationConsolidation Check Your Understandingo answers providedo 19 questionso number lines, counters, problems Assignment 1: Integer Quizo paper pencil Assignment 2: Integer EquationsEduGAINS-MathematicsGrade 7Other ResourcesTIPS4RM Grade 7 Unit 2: DescribingPatterns and on into Integers Day 6: Patterning to Integers Day 14: What’s the Difference?mathies Colour TilesGeometer’s Sketchpad Subtracting Integers with Two-ColourCountersGap Closing I/S Student Book:Integerspp 10 – 14Gap Closing I/S Facilitator’s Guide:Integerspp 14 – 20Page 6 of 15

TIPS4MathSubtract Integers Using a Number LineSpecific Expectations: 7m14, 7m26Learning FocusMindsOn Action Grade 7Blended LearningTeacher GuideUnit 1 Activity 3: Subtraction ofIntegersOERB ID: ELO1471850Discuss everyday examples ofinteger subtraction (e.g., bankingwithdrawal, the removal of a debt,football yard losses, temperaturechanges, golf scores)Subtract integers using a numberlineSubtract integers within contextOther ResourcesTIPS4RM Grade 7 Unit 2:Describing Patterns and on into Integers Day 6: Patterning to IntegersHomework Help Integers - Adding and Subtractingmathies Number LineGizmos Adding and Subtracting IntegersConsolidationGeoGebra Subtracting integers Adding and Subtracting IntegersGap Closing I/S Student Book: Integerspp 10 – 14Gap Closing I/S Facilitator’s Guide: Integerspp 14 – 20Specific Expectations: 7m26Learning FocusMinds Review fact familiesOnAction Use fact families to see the Fact FamiliesBlended LearningOther Resourcesrelationship between the additionand subtraction of integersChoose when to subtract or addintegersConsolidationEduGAINS-MathematicsPage 7 of 15

TIPS4MathProblem Solving Involving Addition and Subtraction of IntegersSpecific Expectations: 7m14, 7m26Learning FocusMindsOn Action Blended LearningTeacher GuidesOERB ID: ELO1471850 Unit 1 Activity 2: Addition of Integers Unit 1 Activity 3: Subtraction of IntegersDiscuss multiple ways to modeland solve an integer addition orsubtraction sentenceCreate a question related toeveryday life whose answer couldbe determined by this addition orsubtraction sentenceSolve problems involving real-lifecontexts and addition andsubtraction of integersGrade 7Other ResourcesTIPS4RM Grade 7 Unit 2: DescribingPatterns and on into Integers Day 12: Adding On! Day 15: Integer FunContinuum and Connections Integerspp 9, 13, 22mathies Number Line Colour TilesGap Closing I/S Student Book:Integerspp 10 – 14ConsolidationGap Closing I/S Facilitator’s Guide:Integerspp 14 – 20Consolidation & Summative TasksSpecific Expectations: 7m14, 7m26Blended LearningEduGAINS-MathematicsOther ResourcesPage 8 of 15

TIPS4MathRepresent Integers Using CountersResourceURLTeacher Guide: Unit 1 Activity 2:Addition of IntegersTeacher Guide: Unit 1 Activity 3:Subtraction of IntegersRepresenting Integers and theZero PrincipleUnit 1 Activity 2: Minds OnTIPS4RM Grade 7 Unit 2:Describing Patterns and on intoIntegersmathies:Colour TilesEduGAINS-MathematicsGrade ent /content r7 Math Num Pare Unit2 DescribingPatterns e 9 of 15

TIPS4MathAdd Integers Using CountersResourceURLTeacher Guide: Unit 1 Activity 2:Addition of IntegersUnit 1 Activity 2: ActionRepresenting the Addition ofBingo Chips with IntegersAdding with ChipsTIPS4RM Grade 7 Unit 2:Describing Patterns and on intoIntegersHomework Help:Integers Adding and Subtractingmathies:Colour TilesGeometer’s Sketchpad :Adding Integers with CountersGap Closing I/S Student Book:IntegersGap Closing I/S Facilitator’sGuide: IntegersEduGAINS-MathematicsGrade ent nt r7 Math Num AdditionIntegers/Object%20Files/Pare om/index.cfm?method cResource.dspView&ResourceID als/TIPS/tips4rm/grade7/Unit2 ools/listen learn/details.php?t id ng/Grade9/3-Integers SB erials/GapClosing/Grade9/3-Integers FG IS.pdfPage 10 of 15

TIPS4MathAdd Integers Using a Number LineResourceURLTeacher Guide: Unit 1 Activity 2:Addition of IntegersUnit 1 Activity 2: ConsolidationAssignment 2: How Warm Did ItGet?TIPS4RM Grade 7 Unit 2:Describing Patterns and on intoIntegersmathies:Number LineGizmos:Adding and Subtracting IntegersGeoGebra:Adding Integers (Vertical NumberLine)GeoGebra:Adding Integers (HorizontalNumber Line)Desmos:Adding IntegersGap Closing I/S Student Book:IntegersGap Closing I/S Facilitator’sGuide: IntegersEduGAINS-MathematicsGrade ent nt gMaterials/TIPS/tips4rm/grade7/Unit2 ?method cResource.dspDetail&ResourceID pClosing/Grade9/3-Integers SB erials/GapClosing/Grade9/3-Integers FG IS.pdfPage 11 of 15

TIPS4MathAddition of Integers PracticeResourceURLTeacher Guide: Unit 1 Activity 2:Addition of IntegersUnit 1 Activity 2: ActionAdding Integers VideoUnit 1 Activity 2: ConsolidationAssignment 1: Integer Quizmathies:Number Linemathies:Colour TilesEduGAINS-MathematicsGrade ent nt MTHEU01/GRD7MTHEU01A02/content ttp://mathies.ca/learningTools.phpPage 12 of 15