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TIPS4MathGrade 7Fractions, Decimals, Percents, RatiosOverall ExpectationsStudents will: Represent [and]compare, and order numbers, including integers (7m8) Demonstrate an understanding of addition and subtraction of fractions and integers, and apply a variety of computational (7m9)strategies to solve problems involving whole numbers and decimal numbers Demonstrate an understanding of proportional relationships using percent, ratio, and rate (7m10) Collect and organize categorical, discrete, or continuous primary data and secondary data and display the data using charts andgraphs, including relative frequency tables and circle graphs (7m70)Specific ExpectationsStudents will: Select and justify the most appropriate representation of a quantity (i.e., fraction, decimal, percent) for a given context (7m15) Use estimation when solving problems involving operations with whole numbers, decimals, and percents, to help judge thereasonableness of a solution (7m22) Determine, through investigation, the relationships among fractions, decimals, percents, and ratios (7m27) Solve problems that involve determining whole number percents, using a variety of tools (7m28) Demonstrate an understanding of rate as a comparison, or ratio, of two measurements with different units (7m29) Solve problems involving the calculation of unit rates (7m30) Collect and organize categorical, discrete, or continuous primary data and secondary data and display the data in charts, tables,and graphs (including relative frequency tables and circle graphs) that have appropriate titles, labels, and scales that suit the rangeand distribution of the data, using a variety of tools (7m74)LessonRatiosRatesRatios versus RatesUnit RatesProblem Solving withUnit RatePercentsRelationship BetweenPercents, Fractions andDecimalsEduGAINS-MathematicsLearning Focus Represent ratios using a variety of forms (e.g. whole numbers, fractions, decimals)Understand rates as a comparison of two quantities with different units of measureDistinguish between ratios and ratesUse of unit rates to describe situationsSolve problems using unit ratesDetermine best type of comparison, unit rate, rate, or ratioThrough investigation, determine the relationships among fractions, decimals,percents and ratiosRepresent percents concretely, symbolically, and as a ratioInvestigate and explore the relationship between fractions, decimals, percents 277m27Page 1 of 18

TIPS4MathFractions, Decimals, Percents, Ratios e PercentLearning FocusSpecificExpectations Represent fractions, decimals, percents, and ratios in equivalent forms Determine whole number percents using a variety of tools (e.g., base ten materials, 7m28paper and pencil, calculators)Solve problems involving percent7m22Use estimation to help judge the reasonableness of a solutionCollect, organize and display data in frequency tables and circle graphs7m74Problems Involving Percent Frequency Tables and Circle GraphsWhich Representation is Reflect on and consolidate understanding of ratios, rates, percents, fractions,Best?decimals and the relationship between themConsolidation and Summative TasksEduGAINS-MathematicsGrade 77m277m15Page 2 of 18

TIPS4MathSpecific Expectations: 7m29Learning FocusRatiosBlended LearningTeacher GuideUnit 1 Activity 10: Rate and RatioOERB ID: ELO1471850MindsOn Action Understand ratio as acomparison of quantities withthe same unitRepresent ratios using avariety of forms (e.g. wholenumbers, fractions, decimals)ConsolidationGrade 7Unit 1 Activity 10: Minds OnOERB ID: ELO1471340 Representing Ratios Worksheeto rate and ratios Frayer modelo decimal, fraction percent and ratio cards(cards for activity found in teacher notes)OtherResourcesTIPS4RM Grade 7 Unit 9: Ratioand Rate Day 1: Ratio Day 2: Relating to RatiosGizmos Part-to-Part and Part-to-WholeRatiosGeometer’s Sketchpad Ratio RelationshipsDesmos Ratio Tables and GraphsThree Act Math Task Super BearMath is Fun RatiosEduGAINS-MathematicsPage 3 of 18

TIPS4MathSpecific Expectations: 7m29Learning FocusRatesBlended LearningTeacher GuideUnit 1 Activity 10: Rate and RatioOERB ID: ELO1471850MindsOn Action Recognize commonly usedrates and explain why they arerates (e.g. speed is a rate thatcompares distance and time;hourly wage is a rate thatcompares money to time)Recognize personal rates(e.g., walking rate, readingrate)Understand rates as acomparison of two quantitieswith different units of measureGrade 7OtherResourcesTIPS4RM Grade 7 Unit 9:Ratio and Rate Day 3: Rate Day 4: Modelling RatesTap into Teen Minds Eiffel Tower TrekConsolidationEduGAINS-MathematicsPage 4 of 18

TIPS4MathSpecific Expectations: 7m29Learning FocusMindsOn Action Ratios versus RatesBlended LearningTeacher GuideUnit 1 Activity 10: Rate and RatioOERB ID: ELO1471850Determine the appropriateUnit 1 Activity 10: Actionrepresentation (i.e., rate orOERB ID: ELO1471340ratio) for a scenario How Many BalloonsOERB ID: ELO1414330o rate and ratio with balloons and massDistinguish between ratios and Unit 1 Activity 10: Actionrates Assignment 1: Best Buyo problem solvingo DiscussionUnit 1 Activity 10: Consolidation Assignment 2: Ratio and Rate Comparisonso Discussion using speedGrade 7OtherResourcesDesmos Ratio Tables and GraphsGap Closing I/S Student Book:Proportional Reasoningpp 3 – 5, 13 – 16; 18 – 23Gap Closing I/S Facilitator’sGuide: Proportional Reasoningpp 5 – 7, 21 – 26Note: supplementation required for application of rateand ratioConsolidationEduGAINS-MathematicsPage 5 of 18

TIPS4MathUnit RatesSpecific Expectations: 7m30Learning FocusTIPS4RM Grade 7 Unit 9: Ratio and Rate Day 5: Unit Rate Day 6: Scale as a Unit Rate or RatioDesmos Intro to Unit RatesituationsConsolidationProblem Solving with Unit RateLearning FocusMinds Calculate unit rate of real-lifeitemsOnAction Solve problems using unit OtherResourcesBlended LearningMinds Understanding of unit ratesOnAction Use of unit rates to describeSpecific Expectations: 7m30Grade 7ratesDetermine best type ofcomparison, unit rate, rate, orratioBlended LearningOtherResourcesTIPS4RM Grade 7 Unit 9: Ratio and Rate Day 7: Determining the Best RateUnit 1 Activity 10: Action Rate My GroceriesOERB ID: ELO1414380o unit rates compared for best buyNote: Needs supplementationHomework Help RatesConsolidationEduGAINS-MathematicsPage 6 of 18

TIPS4MathSpecific Expectations: 7m27Learning FocusMindsOn Action Represent the relationshipamong fractions, decimals andpercentsThrough investigation,determine the relationshipsamong fractions, decimals,percents and ratiosRepresent percentsconcretely, symbolically, andas a ratioGrade 7PercentsBlended LearningOtherResourcesmathies Colour TilesGap Closing I/S Student Book:Proportional Reasoningpp 3 – 11Gap Closing I/S Facilitator’s Guide:Proportional Reasoningpp 5 – 14ConsolidationEduGAINS-MathematicsPage 7 of 18

TIPS4MathRelationship Between Percents, Fractions and DecimalsSpecific Expectations: 7m27Learning FocusMindsOn Grade 7Model, compare, andorder fractions, decimals,and percents on anumber lineBlended LearningTeacher GuideUnit 1 Activity 8: Decimals, Fractions andPercentOERB ID: ELO1471850Unit 1 Activity 8: ActionOERB ID: ELO1471170 Assignment 1: Comparing andOrdering Decimalso model, compare and order decimalsAction Investigate and explorethe relationship betweenfractions, decimals,percents and ratesConsolidationEduGAINS-MathematicsUnit 1 Activity 8: Consolidation Optional Assignment 4: OrderingPercents, Fractions and Decimalso using area models and number lines Assignment 2: Fractions, Decimals andPercentso paper pencilo grid to other repso fraction to other representations Assignment 3: Relationship BetweenFractions, Decimals and Percento DiscussionOtherResourcesTIPS4RM Grade 7 Unit 7: Fractions andDecimals Day 11: Fractions and Decimals Day 12: DecimalsHomework Help Fractions - Converting Fractions toDecimalsGizmos Percent, Fractions and Decimals Comparing and Ordering DecimalsDynamic Number Zooming Decimals: Tenths, Hundredthsand BeyondGeoGebra Fraction, Decimal, and PercentGap Closing I/S Student Book:Proportional Reasoningpp 3 – 17Gap Closing I/S Facilitator’s Guide:Proportional Reasoningpp 5 - 20Page 8 of 18

TIPS4MathSpecific Expectations: 7m27Learning FocusMindsOn Action Grade 7Equivalent RepresentationsOtherResourcesBlended LearningRepresent and compareequivalent fractions andratiosRepresent fractions,decimals, percents, andratios in equivalent formsGizmos Fraction, Decimal, Percent (Area and Grid Models)NCTM Illuminations Fraction ModelsDesmos Convert Fraction to Decimal VisualConsolidationGap Closing I/S Student Book:Proportional Reasoningpp 3 – 5, 12 – 17Gap Closing I/S Facilitator’s Guide:Proportional Reasoningpp 5 – 7,15 – 20Specific Expectations: 7m28Learning FocusMindsOn Action Review base ten materialsEstimate percents usingbenchmarks of 10%, 25%, 50%,75% and 100%Determine whole number percentsusing a variety of tools (e.g., baseten materials, paper and pencil,calculators)Determine PercentBlended LearningOtherResourcesTIPS4RM Grade 7 Unit 7 Day 18: Percent Day 22: Using Percent to Make ComparisonsConsolidationEduGAINS-MathematicsPage 9 of 18

TIPS4MathSpecific Expectations: 7m22Learning FocusMinds Identify where percent isused in real lifeOnAction Solve problems involving percentUse estimation to help judgethe reasonableness of asolutionConsolidationGrade 7Problems Involving PercentBlended LearningOtherResourcesTIPS4RM Grade 7 Unit 7: Fractions and Decimals Day 19: Solving Percent Problems with ConcreteMaterials Day 20: Finding the Percent of a Number Day 22: Using Percent to Make Comparisons Day 23: Using Percent to Find the WholeGizmos Percent and ProportionsGap Closing I/S Student Book:Proportional Reasoningpp 24 – 30Gap Closing I/S Facilitator’s Guide:Proportional Reasoningpp 27 – 32EduGAINS-MathematicsPage 10 of 18

TIPS4MathSpecific Expectations: 7m74Frequency Tables and Circle GraphsLearning FocusMindsOn Action Read information presentedin frequency tables and circlegraphsCollect, organize anddisplay data in frequencytables and circle graphsConsolidationGrade 7OtherResourcesBlended LearningTIPS4RM Grade 7 Unit 3: Collect, Organize, andAnalyse Data Day 7: Introduction to Circle Graphs Day 8: Calculating Percents/Angles for CircleGraphs Day 9: Which Graph is Best? Day 10: Going Around in CirclesLearn Alberta Exploring Data Displays and GraphsNCES Kids’ Zone Create a GraphMathisFun Pie ChartEduGAINS-MathematicsPage 11 of 18

TIPS4MathSpecific Expectations: 7m15Which Representation is Best?Learning FocusMindsOn Action Grade 7Blended LearningSelect and justify the mostappropriate representation ofa quantityReflect on and consolidateunderstanding of ratios,rates, percents, fractions,decimals and the relationshipbetween themOtherResourcesTIPS4RM Grade 7 Unit 3: Collect, Organize, andAnalyse Data Day 9: Which Graph is Best?ConsolidationConsolidation & Summative TasksSpecific Expectations: 7m15, 7m22, 7m27, 7m28, 7m29, 7m30, 7m74Blended LearningEduGAINS-MathematicsOtherResourcesPage 12 of 18

TIPS4MathRatiosResourceGrade 7URLTeacher ry/14/1471850000/Gr%207%20Math%20U1%20TG/Unit 1 Activity 10: Rate and Ratio 20-%2010/content 10.htmlUnit 1 Activity 10: Minds tmlTIPS4RM Grade 7 Unit ls/TIPS/tips4rm/grade7/Unit9 Ratio&Rate.pdfRatio and fm?method cResource.dspDetail&ResourceID 264Part-to-Part and Part-to-WholeRatiosGeometer’s atio ivitybuilder/custom/56be6a214a30a80c0f4bdbb6Ratio Tables and GraphsThree Act Math Task:http://mrmeyer.com/threeacts/superbear/Super BearMath is atiosRatesResourceTeacher GuideUnit 1 Activity 10: Rate and RatioTIPS4RM Grade 7 Unit 9:Ratio and RateTap into Teen MindsEiffel Tower tivities%201%20-%2010/content terials/TIPS/tips4rm/grade7/Unit9 th/eiffel-tower-trek/Page 13 of 18

TIPS4MathRatios versus RatesResourceGrade 7URLTeacher ory/14/1471850000/Gr%207%20Math%20U1%20TG/Unit 1 Activity 10: Rate and Ratio 20-%2010/content 10.htmlHow Many /Gr7 Math Num Balloons/Gr7 Num HowManyBalloons/Gr7 Num HowManyBalloons/Pare Gr7NumStoryboard3.htmlAssignment 1: Best nt.htmlAssignment 14/1471200000/GRD7MTHEU01/GRDRatio and Rate a214a30a80c0f4bdbb6Ratio Tables and GraphsGap Closing I/S Student nsSupports/GapClosing/NumberSense Int-SeProportional Reasoningnior/4-PropReasoning SB IS.pdfGap Closing I/S h/CE/LessonsSupports/GapClosing/NumberSense Int-SeGuide: Proportional Reasoningnior/4-PropReasoning FG IS.pdfUnit RatesResourceTIPS4RM Grade 7 Unit 9:Ratio and RateDesmos:Intro to Unit terials/TIPS/tips4rm/grade7/Unit9 uilder/custom/55e8b1be0a2e987d3cac027bProblem Solving with Unit RatesResourceURLRate My GroceriesTIPS4RM Grade 7 Unit 9:Ratio and RateHomework U01/GRD7MTHEU01A10/mme/Gr7 Math Num RateGroceries/Object%20Files/Pare rces/LearningMaterials/TIPS/tips4rm/grade7/Unit9 at.php?config playback&question id 263216&type bs#/question/263216/type/bsPage 14 of 18

TIPS4MathPercentsResourcemathies:Colour TilesGap Closing I/S Student Book:Proportional ReasoningGap Closing I/S Facilitator’sGuide: Proportional ReasoningEduGAINS-MathematicsGrade osing/NumberSense Int-Senior/4-PropReasoning SB onsSupports/GapClosing/NumberSense Int-Senior/4-PropReasoning FG IS.pdfPage 15 of 18

TIPS4MathRelationship Between Percents, Fractions and DecimalsResourceURLTeacher Guide:Unit 1 Activity 8: Decimals,Fractions and PercentAssignment 1: Comparing andOrdering DecimalsOptional Assignment 4: OrderingPercents, Fractions andDecimalsAssignment 2: Fractions,Decimals and PercentsAssignment 3: RelationshipBetween Fractions, Decimals andPercentTIPS4RM Grade 7 Unit 7:Fractions and DecimalsHomework Help:Fractions - Converting Fractions toDecimalsGizmos:Percent, Fractions and DecimalsGizmos:Comparing and Ordering DecimalsDynamic Number:Zooming Decimals: Tenths,Hundredths and BeyondGeoGebra:Fraction, Decimal, and PercentGap Closing I/S Student Book:Proportional ReasoningGap Closing I/S Facilitator’s Guide:Proportional ReasoningEduGAINS-MathematicsGrade ent rces/LearningMaterials/TIPS/tips4rm/grade7/Unit7 chat/chat.php?config playback&question id 267506&type ning.com/index.cfm?method cResource.dspView&ResourceID d cResource.dspDetail&ResourceID 208http://www.dynamicnumber.org/zooming decimals tenths hundredths and ing/NumberSense Int-Senior/4-PropReasoning SB onsSupports/GapClosing/NumberSense Int-Senior/4-PropReasoning FG IS.pdfPage 16 of 18

TIPS4MathEquivalent RepresentationsResourceGizmos:Fraction, Decimal, Percent (Areaand Grid Models)NCTM Illuminations :Fraction ModelsDesmos:Convert Fraction to Decimal VisualGap Closing I/S Student Book:Proportional ReasoningGap Closing I/S Facilitator’s Guide:Proportional ReasoningDetermine PercentResourceTIPS4RM Grade 7 Unit 7:Fractions and DecimalsProblems Involving PercentResourceTIPS4RM Grade 7 Unit 7:Fractions and DecimalsGizmos:Percent and ProportionsGap Closing I/S Student Book:Proportional ReasoningGap Closing I/S Facilitator’s Guide:Proportional ReasoningEduGAINS-MathematicsGrade od cResource.dspView&ResourceID 1008http://illuminations.nctm.org/Activity.aspx?id rts/GapClosing/NumberSense Int-Senior/4-PropReasoning SB onsSupports/GapClosing/NumberSense Int-Senior/4-PropReasoning FG Materials/TIPS/tips4rm/grade7/Unit7 ources/LearningMaterials/TIPS/tips4rm/grade7/Unit7 om/index.cfm?method cResource.dspView&ResourceID Supports/GapClosing/NumberSense Int-Senior/4-PropReasoning SB onsSupports/GapClosing/NumberSense Int-Senior/4-PropReasoning FG IS.pdfPage 17 of 18

TIPS4MathFrequency Tables and Circle GraphsResourceURLTIPS4RM Grade 7 Unit 3: Collect,Organize, and Analyse DataLearn Alberta:Exploring Data Displays andGraphsNCES Kids’ Zone:Create a GraphMath is Fun:Pie ChartGrade ejhm/index.html?l 0&ID1 AB.MATH.JR.STAT&ID2 AB.MATH.JR.STAT.DATA&lesson html/video //www.mathsisfun.com/data/pie-charts.htmlWhich Representation is Best?ResourceURLTIPS4RM Grade 7 Unit 3: Collect,Organize, and Analyse h/Unit3CollectOrganizeAnalyseData.pdfPage 18 of 18

Through investigation, determine the relationships among fractions, decimals, percents and ratios Represent percents concretely, symbolically, and as a ratio: 7m27: Relationship Between Percents, Fractions and Decimals Investigate and explore the relationship between fractions, decimals,