TIPS4Math Grade 6Fractions, Ratios and Rates

Overall Expectations Students will:• Read, represent, compare, and order whole numbers to 1 000 000, decimal numbers to thousandths, proper and improper

fractions, and mixed numbers (6m8)• Demonstrate an understanding of relationships involving percent, ratio, and unit rate (6m10)Specific ExpectationsStudents will:• Represent, compare, and order fractional amounts with unlike denominators, including proper and improper fractions and mixed numbers, using a variety of tools and using standard fractional notation (6m14)• Represent ratios found in real-life contexts, using concrete materials, drawings, and standard fractional notation (6m26)• Represent relationships using unit rates (6m28)

Lesson

Learning Focus SpecificExpectations

Represent and Compare • Equally partition set models, identify and name a fraction relative to its unit 6m14Part-Whole Fractions using a fraction (e.g., 5 one-thirds or five-thirds)Set Model •

•

•

Represent fractions using a set model (e.g., attribute blocks, pattern blocks, money, set tool by mathies.ca) and verify by counting the fraction using unit fractions (e.g., 1 one-third, 2 one-thirds, 3 one-thirds or 1 whole,4 one-thirds or 1 and one-third)

Identify, represent and explain the concept of equivalent fractions (i.e., fractions expressed with the same unit) using the model and connecting the merging/splitting to the symbolic manipulation

Compare fractions using a variety of strategies including relative to benchmarks or familiar fractions, same units (denominator), same count (numerator) and equivalency

Represent Part-Whole • Equally partition area models (e.g., rectangles), identify and name a 6m14Fractions Using an Area Model

•

•

fraction relative to its unit fraction (e.g., 5 one-thirds)Represent fractions using an area model (e.g., rectangles, pattern blocks,

relational rods, grids) and verify by counting the fraction using unit fractionsIdentify, represent and explain the concept of equivalent fractions (i.e.,

fractions expressed with the same unit) using the modelCompare and Order Part-Whole • Identify and represent a fraction between two fractions using a variety of 6m14Fractions Using an Area Model

• strategies including determining equivalent fractions

Compare and order fractions using a variety of strategies including relative to benchmarks or familiar fractions, same units (denominator), same count (numerator) and equivalency

EduGAINS-Mathematics Page 1 of 25

TIPS4Math Grade 6Fractions, Ratios and Rates (continued)

Lesson

Learning Focus SpecificExpectations

Represent, Compare and Order Part-Whole Fractions Using a Linear Model

•

•

•

•

•

Equally partition linear models, identify and name a fraction relative to its unit fraction

Represent fractions using a linear model (e.g., number line, relational rods, fraction strips) and verify by counting the fraction using unit fractions

Identify, represent and explain the concept of equivalent fractions (i.e., fractions expressed with the same unit) using the model and connecting the merging/splitting to the symbolic manipulation

Identify and represent a fraction between two fractions using a variety of strategies including determining equivalent fractions

Compare and order fractions using a variety of strategies including relative to benchmarks or familiar fractions, same units (denominator), same count (numerator) and equivalency

6m14

Represent, Compare and Order Part-Whole Fractions as Parts

• Equally partition linear models, identify and name a fraction relative to its unit fraction

6m14

of Measures •

•

•

•

Represent fractions using a measurement model (e.g., number line, measurement devices such as cups) and verify by counting the fraction using unit fractions

Identify, represent and explain the concept of equivalent fractions (i.e., fractions expressed with the same unit)

Identify and represent a fraction between two fractions using a variety of strategies including determining equivalent fractions

Compare and order fractions using a variety of strategies including relative to benchmarks or familiar fractions, same units (denominator), same count (numerator) and equivalency

Exploration of the Relationship Between Part-Whole Ratios and Fractions

• •

•

•

Represent part-part fractions using a set, area, and a linear model.Make connections between part-whole fractions and a part-whole ratios

(i.e., a fraction is a number and a ratio is a relationship between two or more quantities)

Use language appropriately for ratios and fractions (e.g., the ratio 3:5 is stated as 3 to 5 or 3 out of 5, and the fraction 3/5 is stated as three fifths)

Understand that when creating equivalent fractions the whole must remain the same, and when creating equivalent ratios the whole can change

6m146m26

EduGAINS-Mathematics Page 2 of 25

TIPS4Math Grade 6Fractions, Ratios and Rates (continued)

Lesson

Learning Focus SpecificExpectations

Exploration of the Relationship Between Part-Part Ratios and Fractions

•

•

•

Make connections between part-part fractions and a part-part ratios (i.e., a fraction is a number and a ratio is a relationship between two or more quantities)

Use language appropriately for ratios and fractions (e.g., if a set has 3 apples to 2 pears the ratio of apples to pears can be expressed as 3:2 “3 to 2” and as a part-part fraction it can be expressed as 3/2 “three halves or one and half times as many apples as pears”)

Understand that when creating equivalent fractions the whole must remain the same, and when creating equivalent ratios the whole can change

6m146m26

Unit Rates • Understand that rates are used to compare two quantities with different units

6m28

• Understand that a unit rate is a rate represented as ‘per one unit’Solve Problems Involving Ratios or Rates

•

•

Represent two-term part-whole ratios found in real-life contexts, using concrete materials, drawings and standard fractional notation

Understands the role of each term in a ratio and that the order matters

6m266m28

• •

Represent multiplicative relationships using unit ratesDetermine unit rates in contextual problems

Consolidation and Summative Tasks

EduGAINS-Mathematics Page 3 of 25

TIPS4Math Grade 6Represent and Compare Part-Whole Fractions Using a Set Model

Specific Expectations: 6m14

Learning Focus Blended Learning Other ResourcesTeacher Guides Guide to Effective Instruction:

Number Sense and Numeration Grades 4 – 6 Vol.5 • p46 Equivalent Fractions with Set Model

CLIPS

OERB ID: ELO1474900• Unit 1 Activity 4: Fractions: Representing• Unit 1 Activity 5: Fractions: Comparing and Ordering

Minds • Explore the use of fractions in our everyday Unit 1 Activity 4: Minds OnOn

• livesReview fraction terminology

OERB ID: ELO1474790• Introduction: Representing Simple Fractions

• Who Cares About Fractions?

Fractions Learning Pathways• Fractions Shape Set

mathies• Set Tool• Money

Gap Closing J/I Student Book: Representing Fractions pp 23 – 26, 31 - 35

Gap Closing J/I Facilitator Guide: Representing Fractions pp 24 - 31

Action •

•

•

•

Equally partition set models, identify and name a fraction relative to its unit fraction (e.g., 5 one-thirds or five-thirds)Represent fractions using a set model (e.g., attribute blocks, pattern blocks, money, set tool by mathies.ca) and verify by counting the fraction using unit fractions (e.g., 1 one-third, 2 one-thirds, 3 one-thirds or 1 whole, 4 one-thirds or 1 and one-third) Identify, represent and explain the concept of equivalent fractions (i.e., fractions expressed with the same unit) using the model and connecting the merging/splitting to the symbolic manipulationCompare fractions using a variety of strategies including relative to benchmarks or familiar fractions, same units (denominator), same count (numerator) and equivalency

Unit 1 Activity 4: Minds On• Fractions: Set Representations

Unit 1 Activity 4: Action• Required Reading• Representing Improper Fractions as Parts of a Set• Assignment 2: Representing Improper Fractions as Parts of a Set o use mathies Notepad

Unit 1 Activity 5: ActionOERB ID: ELO1474800• Check Your Understanding

Consolidation Unit 1 Activity 4: Minds On• Anchor chart

Note: supplementation required to represent and compare fractions using a set model

EduGAINS-Mathematics Page 4 of 25

TIPS4Math Grade 6Represent Part-Whole Fractions Using an Area Model

Specific Expectations: 6m14

Learning Focus Blended Learning Other ResourcesTeacher Guides Guide to Effective Instruction: Number

Sense and Numeration Grades 4 – 6 Vol.5 • pp 39 – 57: Grade 5 Learning Activity: Investigating Fractions Using Tangrams

Fractions Learning Pathways

OERB ID: ELO1474900• Unit 1 Activity 4: Fractions: Representing• Unit 1 Activity 5: Fractions: Comparing and Ordering

Minds On

• Review equi-partitioning through a paper folding activity

• Brownie Sharing

mathies• Colour Tiles• Fraction Strips• Pattern Blocks• Relational Rods• Representation Match (Fractions)• Dominoes (Fractions)

Spatial Reasoning in Number Sense and Numeration• Mixed Numbers & Improper Fractions Lesson Plan• Mixed Numbers & Improper Fractions Activity Sheet• Visualizing Matching Activity Fractions

NCTM Illuminations• Understanding Rational Numbers and Proportions

Gap Closing J/I Student Book: Representing Fractionspp 13 – 16, 27 - 30

Action •

•

•

Equally partition area models (e.g., rectangles), identify and name a fraction relative to its unit fraction (e.g., 5 one-thirds)Represent fractions using an area model (e.g., rectangles, pattern blocks, relational rods, grids) and verify by counting the fraction using unit fractionsIdentify, represent and explain the concept of equivalent fractions (i.e., fractions expressed with the same unit) using the model and connecting the merging/splitting to the symbolic manipulation

Unit 1 Activity 4: Minds OnOERB ID: ELO1474790• Fractions: Area Representations• Practice Exercise o Creating Visual Representations o select using a rectangular area

Unit 1 Activity 4: Action• Part-to-Whole Representations o Pizza Party o Leftovers• Representing Improper Fractions as Parts of Wholes• Assignment 1: Representing Improper Fractions as Parts of Wholes

Unit 1 Activity 5: Minds On• Equivalent Fractions o Introduction o Splitting Parts o Merging Parts

Gap Closing J/I Facilitator Guide: Representing Fractions pp 16 – 19, 28 - 31

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TIPS4Math Grade 6Represent Part-Whole Fractions Using an Area Model (continued)

Specific Expectations: 6m14

Learning Focus Blended Learning Other ResourcesConsolidation Unit 1 Activity 5: Minds On

• Equivalent Fractions o Naming the Equivalent Fractions

Unit 1 Activity 4: Minds On• Add to Anchor Chart

EduGAINS-Mathematics Page 6 of 25

TIPS4Math Grade 6Compare and Order Part-Whole Fractions Using an Area Model

Specific Expectations: 6m14

Learning Focus Blended Learning Other ResourcesTeacher GuideUnit 1 Activity 5: Fractions: Comparing and OrderingOERB ID: ELO1474900

Fractions Learning Pathways• Changing Wholes (Pattern Block Challenge)• Pretty Powerful Paper Folding

Minds On

• Comparing Fractions

mathies• Colour Tiles• Fraction Strips• Pattern Blocks• Relational Rods

Gap Closing J/I Student Book: Comparing Fractions pp 5 - 13

Gap Closing J/I Facilitator Guide: Comparing Fractions pp 7 - 14

Action •

•

Identify and represent a fraction between two fractions using a variety of strategies including determining equivalent fractions Compare and order fractions using a variety of strategies including relative to benchmarks or familiar fractions, same units (denominator), same count (numerator) and equivalency

Unit 1 Activity 5: Minds OnOERB ID: ELO1474800• Comparing Fractions using Pictures• Comparing Fractions to One Half and to One• Comparing Fractions with the Same Denominator

Unit 1 Activity 5: Action• Comparing Fractions: Same Numerator• Purposeful Practice o Comparing Fractions with the Same Numerator

Consolidation Unit 1 Activity 5: Action• Assignment 1: Comparing Fractions Questions o access mathies fraction strip tool

Note: supplementation required for ordering

EduGAINS-Mathematics Page 7 of 25

TIPS4Math Grade 6Represent, Compare and Order Part-Whole Fractions Using a Linear Model

Specific Expectations: 6m14

Learning Focus Blended Learning Other ResourcesTeacher Guides Guide to Effective Instruction:

Number Sense and Numeration Grades 4 – 6 Vol.5• pp 18 – 23• pp 58 – 74: Grade 6 Learning Activity: Fraction Line-Up

Fractions Learning Pathways• Walk the Line• Desktop Fractions• Counting Game• Comparing Fractions with Like Numerators or Like Denominators• Familiar Fractions and Benchmark Comparisons• Comparing Fractions• Equivalency Comparisons

OERB ID: ELO1474900• Unit 1 Activity 4: Fractions: Representing• Unit 1 Activity 5: Fractions: Comparing and Ordering

Minds On

• Make connections between part-whole relationships in a set and area model and relate to the number line

Unit 1 Activity 5: ActionOERB ID: ELO1474800• Comparing Fractions GSP

Action •

•

•

Equally partition linear models, identify and name a fraction relative to its unit fraction Represent fractions using a linear model (e.g., number line, relational rods, fraction strips) and verify by counting the fraction using unit fractionsIdentify, represent and explain the

Unit 1 Activity 4: Minds OnOERB ID: ELO1474790• Fractions: Linear Representations• Practice Exercise o Creating Visual Representations o select using a length

Unit 1 Activity 5: Action• Drop Ball

•

concept of equivalent fractions (i.e., fractions expressed with the same unit) using the model and connecting the merging/splitting to the symbolic manipulationIdentify and represent a fraction between two fractions using a variety

o game involving the placement of fractions on a number line• Discussion o use of virtual dice and number line

mathies• Fraction Strips• Number Line• Relational Rods• Representation Match (Fractions)

•

of strategies including determining equivalent fractions Compare and order fractions using a variety of strategies including relative

CLIPS• 1.3 Fractions: Linear Measurement Representations

to benchmarks or familiar fractions, same units (denominator), same count (numerator) and equivalency

NCTM Illuminations• Fractional Clothesline – Student Number LineConsolidation

EduGAINS-Mathematics Page 8 of 25

TIPS4Math Grade 6Represent, Compare and Order Part-Whole Fractions as Parts of Measures

Specific Expectations: 6m14Learning Focus Blended Learning Other Resources

Fractions Learning Pathways• Recipe Task

mathies• Pouring Containers

Minds On

• Connect the representation of a fraction on a number line is also a fraction as parts of measures

Action • Equally partition linear models, identify and

• name a fraction relative to its unit fraction Represent fractions using a measurement model (e.g., number line, measurement devices such as cups) and verify by

Gap Closing J/I Student Book: Representing Fractions pp 17 - 22

• counting the fraction using unit fractionsIdentify, represent and explain the concept of equivalent fractions (i.e., fractions expressed with the same unit)

Gap Closing J/I Facilitator Guide: Representing Fractions pp 20 - 23

•

•

Identify and represent a fraction between two fractions using a variety of strategies including determining equivalent fractions Compare and order fractions using a variety of strategies including relative to benchmarks or familiar fractions, same units (denominator), same count (numerator) and equivalency

Consolidation

EduGAINS-Mathematics Page 9 of 25

TIPS4Math Grade 6Exploration of the Relationship Between Part-Whole Ratios and Fractions

Specific Expectations: 6m14, 6m26Learning Focus Blended Learning Other Resources

mathies• Colour Tiles• Pattern Blocks • Relational Rods• Set Tool

Minds On

• Identify every day examples of ratios that are part-whole relationships

Action •

•

•

Make connections between part-whole fractions and a part-whole ratios (i.e., a fraction is a number and a ratio is a relationship between two or more quantities)Use language appropriately for ratios and fractions (e.g., the ratio 3:5 is stated as 3 to 5 or 3 out of 5, and the fraction 3/5 is stated as three fifths)Understand that when creating equivalent fractions the whole must remain the same, and when creating equivalent ratios the whole can change

Consolidation

EduGAINS-Mathematics Page 10 of 25

TIPS4Math Grade 6Exploration of the Relationship Between Part-Part Ratios and Fractions

Specific Expectations: 6m14, 6m26

Learning Focus Blended Learning Other ResourcesTeacher Guides Guide to Effective Instruction:

Number Sense and Numeration Grades 4 – 6 Vol. 1• pp 41 – 45

mathies• Colour Tiles

OERB ID: ELO1474900• Unit 1 Activity 4: Fractions: Representing• Unit 1 Activity 5: Fractions: Comparing and Ordering• Unit 1 Activity 7: Ratio and Unit Rate

Minds On

• Identify every day examples of ratios that are part-whole relationships

• Pattern Blocks • Relational Rods• Set Tool

Action •

•

•

•

Represent part-part fractions using a set, area, and a linear model.Make connections between part-part fractions and a part-part ratios (i.e., a fraction is a number and a ratio is a relationship between two or more quantities)Use language appropriately for ratios and fractions (e.g., if a set has 3 apples to 2 pears the ratio of apples to pears can be expressed as 3:2 “3 to 2” and as a part-part fraction it can be expressed as 3/2 “three halves or one and half times as many apples as pears”)Understand that when creating equivalent fractions the whole must remain the same, and when creating equivalent ratios the whole can change

Unit 1 Activity 4: ActionOERB ID: ELO1474790• Assignment 3: Part-to-Part Representations o includes simple improper fractions

Unit 1 Activity 5: ActionOERB ID: ELO1474800• Part-to-Part Comparisons

Unit 1 Activity 7: ConsolidationOERB ID: ELO1474820• Discussion #1 - Ratios

Consolidation

EduGAINS-Mathematics Page 11 of 25

TIPS4Math Grade 6Unit Rates

Specific Expectations: 6m28

Learning Focus Blended Learning Other ResourcesTeacher Guide mathiesUnit 1 Activity 7: Ratio and Unit Rate • Colour TilesOERB ID: ELO1474900 • Money Tool

Minds On

• Pattern Blocks • Relational Rods• Set Tool

Action • Understand that rates are used to Unit 1 Activity 7: Actioncompare two quantities with different OERB ID: ELO1474820units • Rate and Unit Rate

• Understand that a unit rate is a rate • Did You Know? #1, #2represented as ‘per one unit’ • BrainingCamp

o calculating unit rateConsolidation Unit 1 Activity 7: Consolidation

• Discussion #1 - Rates

EduGAINS-Mathematics Page 12 of 25

TIPS4Math Grade 6Solve Problems Involving Ratios or Rates

Specific Expectations: 6m26, 6m28

Learning Focus Blended Learning Other ResourcesTeacher GuideUnit 1 Activity 7: Ratio and Unit RateOERB ID: ELO1474900

NCTM Illuminations• Constant Dimensions

Minds On

• Review ratios in real-life contexts • Ratio Interactive Video

Action •

•

•

•

Represent two-term part-whole ratios found in real-life contexts, using concrete materials, drawings and standard fractional notationUnderstands the role of each term in a ratio and that the order mattersRepresent multiplicative relationships using unit ratesDetermine unit rates in contextual problems

Unit 1 Activity 7: Minds OnOERB ID: ELO1474820• Ratio word problem• Anchor Chart

Unit 1 Activity 7: Action• Remarkable Ratios OERB ID: ELO1414310• Frayer Model worksheet• Discussion• Hockey Ratio Madness OERB ID: ELO1413590

Consolidation Unit 1 Activity 7: Action• Assignment 1: Ratios• Assignment 2: Rate• Check Your Understanding o rate or ratio?

EduGAINS-Mathematics Page 13 of 25

TIPS4Math Grade 6Consolidation & Summative Tasks

Specific Expectations: 6m14, 6m26, 6m28Blended Learning

Other ResourcesUnit 1 Activity 4: Minds On Fractions Learning PathwaysOERB ID: ELO1474790 • I Have Who Has• Practice Exercise o Quiz: Representing Simple Fractions mathies

• Representation Match (Fractions)Unit 1 Activity 4: Action• Check Your Understanding

Unit 1 Activity 4: Consolidation• Discussion o representations of fractions

Unit 1 Activity 5: ConsolidationOERB ID: ELO1474800• Discussion o ordering fractions

Unit 1 Activity 5: Action• Assignment 2: Ordering Fractions• Assignment 3: EQAO-Type Problems o access mathies fraction strips to check work• Assignment 4: Comparing Simple Fractions Quiz

Unit 1 Activity 7: ActionOERB ID: ELO1474820• EQAO-Type Ratio Problems

EduGAINS-Mathematics Page 14 of 25

TIPS4Math Grade 6Represent and Compare Part-Whole Fractions Using a Set ModelResource URLTeacher Guide: https://download.elearningontario.ca/repository/14/1474900000/Combined%20Teacher%20Unit 1 Activity 4: Fractions: Notes%20for%20Activities%201%20-%2010/Teacher%20Notes%20-%20Activities%201%20Representing to%205/content_4.htmlTeacher Guide: https://download.elearningontario.ca/repository/14/1474900000/Combined%20Teacher%20Unit 1 Activity 5: Fractions: Notes%20for%20Activities%201%20-%2010/Teacher%20Notes%20-%20Activities%201%20Comparing and Ordering to%205/content_5.htmlUnit 1 Activity 4: Minds On https://download.elearningontario.ca/repository/14/1474890000/GRD6MTHEU01/GRD-

6MTHEU01A04/content.htmlIntroduction: Representing http://oame.on.ca/CLIPS/index.html?cluster=1&clip=1&activity=1Simple FractionsFractions: Set Representations http://oame.on.ca/CLIPS/index.html?cluster=1&clip=1&activity=4Unit 1 Activity 4: Action https://download.elearningontario.ca/repository/14/1474890000/GRD6MTHEU01/GRD-

6MTHEU01A04/content_4.htmlRepresenting Improper Fractions http://oame.on.ca/CLIPS/index.html?ePractice=T/index.html?ePractice=T&EP_Topic=Frac-as Parts of a Set tions&activity=6Assignment 2: Representing https://download.elearningontario.ca/repository/14/1474790000/GRD6MTHEU01A04/assignment.Improper Fractions as Parts of a htmlSetUnit 1 Activity 5: Action https://download.elearningontario.ca/repository/14/1474800000/GRD6MTHEU01A05/content_2.

htmlGuide to Effective Instruction: http://oame.on.ca/eduproject/ontariomathedresources/files/Number%20Sense%20and%20Numer-Number Sense and Numeration ation%20Vol%205%20Fractions%204-6.pdfGrades 4 – 6 Vol.5CLIPS: http://mathclips.ca/index.html?cluster=1Who Cares About Fractions?Fractions Learning Pathways: http://www.edugains.ca/newsite/DigitalPapers/FractionsLearningPathway/UnitFractions-F-shape-Fractions Shape Set Sets.htmlmathies: http://mathies.ca/learningTools.php#Ss1Set Toolmathies: http://oame.on.ca/mathies/learningTools.php#Mm0MoneyGap Closing J/I Student Book: http://www.edugains.ca/resourcesMath/CE/LessonsSupports/GapClosing/NumberSense_Ju-Representing Fractions nior-Int/GCU1_SB_RepresentingFractions.pdfGap Closing J/I Facilitator Guide: http://www.edugains.ca/resourcesMath/CE/LessonsSupports/GapClosing/NumberSense_Ju-Representing Fractions nior-Int/GCU1_FG_RepresentingFractions.pdf

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TIPS4Math Grade 6Represent Part-Whole Fractions Using an Area ModelResource URLTeacher Guide: https://download.elearningontario.ca/repository/14/1474900000/Combined%20Teacher%20Unit 1 Activity 4: Fractions: Notes%20for%20Activities%201%20-%2010/Teacher%20Notes%20-%20Activities%201%20Representing to%205/content_4.htmlTeacher Guide: https://download.elearningontario.ca/repository/14/1474900000/Combined%20Teacher%20Unit 1 Activity 5: Fractions: Notes%20for%20Activities%201%20-%2010/Teacher%20Notes%20-%20Activities%201%20Comparing and Ordering to%205/content_5.htmlUnit 1 Activity 4: Minds On https://download.elearningontario.ca/repository/14/1474790000/GRD6MTHEU01A04/content.htmlFractions: Area Representations http://oame.on.ca/CLIPS/index.html?cluster=1&clip=1&activity=2Unit 1 Activity 4: Action https://download.elearningontario.ca/repository/14/1474890000/GRD6MTHEU01/GRD-

6MTHEU01A04/content_4.htmlPizza Party http://oame.on.ca/CLIPS/index.html?cluster=1&clip=5&activity=1Leftovers http://oame.on.ca/CLIPS/index.html?cluster=1&clip=5&activity=2Representing Improper Fractions http://oame.on.ca/CLIPS/index.html?ePractice=T/index.html?ePractice=T&EP_Topic=Frac-as Parts of Wholes tions&activity=5Assignment 1: Representing https://download.elearningontario.ca/repository/14/1474790000/GRD6MTHEU01A04/assignment.Improper Fractions as Parts of htmlWholesEquivalent Fractions http://oame.on.ca/CLIPS/index.html?cluster=1&clip=4&activity=1IntroductionSplitting Parts http://oame.on.ca/CLIPS/index.html?cluster=1&clip=4&activity=2Merging Parts http://oame.on.ca/CLIPS/index.html?cluster=1&clip=4&activity=3Naming the Equivalent Fractions http://oame.on.ca/CLIPS/index.html?ePractice=T/index.html?ePractice=T&EP_Topic=Frac-

tions&activity=11Guide to Effective Instruction: http://oame.on.ca/eduproject/ontariomathedresources/files/Number%20Sense%20and%20Numer-Number Sense and Numeration ation%20Vol%205%20Fractions%204-6.pdfGrades 4 – 6 Vol.5Fractions Learning Pathways: http://www.edugains.ca/newsite/DigitalPapers/FractionsLearningPathway/UnitFractions-B-brownie-Brownie Sharing Sharing.htmlmathies: http://mathies.ca/learningTools.phpColour Tilesmathies: http://mathies.ca/learningTools.php#Ff0Pattern Blocks

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TIPS4Math Grade 6Represent Part-Whole Fractions Using an Area Model (continued)Resource URLmathies: http://mathies.ca/learningTools.php#Rr0Relational Rodsmathies: http://mathies.ca/games.php#Rr0Representation Match (Fractions)mathies: http://oame.on.ca/mathies/games.phpDominoes (Fractions)Spatial Reasoning in Number http://thelearningexchange.ca/wp-content/uploads/2015/10/2.-Mixed-Numbers-Improper-Frac-Sense and Numeration: tions-Lesson-Plan.pdfMixed Numbers & Improper Fractions Lesson PlanSpatial Reasoning in Number http://thelearningexchange.ca/wp-content/uploads/2015/10/3.-Mixed-Numbers-Improper-Frac-Sense and Numeration: tions-Activity-Sheet.pdfMixed Numbers & Improper Fractions Activity SheetSpatial Reasoning in Number http://thelearningexchange.ca/wp-content/uploads/2015/09/2.-Visualizing-Matching-Activity-Frac-Sense and Numeration: tions.pdfVisualizing Matching Activity FractionsNCTM Illuminations: https://illuminations.nctm.org/Lesson.aspx?id=1110Understanding Rational Numbers and ProportionsGap Closing J/I Student Book: http://www.edugains.ca/resourcesMath/CE/LessonsSupports/GapClosing/NumberSense_Ju-Representing Fractions nior-Int/GCU1_SB_RepresentingFractions.pdfGap Closing J/I Facilitator Guide: http://www.edugains.ca/resourcesMath/CE/LessonsSupports/GapClosing/NumberSense_Ju-Representing Fractions nior-Int/GCU1_FG_RepresentingFractions.pdf

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TIPS4Math Grade 6Compare and Order Part-Whole Fractions Using an Area ModelResource URLTeacher Guide: https://download.elearningontario.ca/repository/14/1474900000/Combined%20Teacher%20Unit 1 Activity 5: Fractions: Notes%20for%20Activities%201%20-%2010/Teacher%20Notes%20-%20Activities%201%20Comparing and Ordering to%205/content_5.htmlComparing Fractions using http://oame.on.ca/CLIPS/index.html?ePractice=T/index.html?ePractice=T&EP_Topic=Frac-Pictures tions&activity=7Comparing Fractions to One Half http://oame.on.ca/CLIPS/index.html?ePractice=T/index.html?ePractice=T&EP_Topic=Frac-and to One tions&activity=8Comparing Fractions with the http://oame.on.ca/CLIPS/index.html?ePractice=T/index.html?ePractice=T&EP_Topic=Frac-Same Denominator tions&activity=9Unit 1 Activity 5: Action https://download.elearningontario.ca/repository/14/1474800000/GRD6MTHEU01A05/content_2.

htmlComparing Fractions: Same http://oame.on.ca/CLIPS/index.html?cluster=1&clip=3&activity=3NumeratorComparing Fractions with the http://oame.on.ca/CLIPS/index.html?ePractice=T/index.html?ePractice=T&EP_Topic=Frac-Same Numerator Practice tions&activity=10Assignment 1: Comparing https://download.elearningontario.ca/repository/14/1474800000/GRD6MTHEU01A05/assignment.Fractions Questions htmlFractions Learning Pathways http://www.edugains.ca/newsite/DigitalPapers/FractionsLearningPathway/UnitFractions-F-Chang-Changing Wholes (Pattern Block ingWholes.htmlChallenge)Fractions Learning Pathways: http://www.edugains.ca/newsite/DigitalPapers/FractionsLearningPathway/ComparingFrac-Pretty Powerful Paper Folding tions-E-PaperFolding.htmlFractions Learning Pathways: http://www.edugains.ca/newsite/DigitalPapers/FractionsLearningPathway/ComparingFrac-Comparing Fractions tions-E-ComparingFractions.htmlmathies: http://mathies.ca/learningTools.phpColour Tilesmathies: http://mathies.ca/learningTools.php#Ff0Fraction Stripsmathies: http://mathies.ca/learningTools.php#Pp0Pattern Blocksmathies: http://mathies.ca/learningTools.php#Rr0Relational Rods

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TIPS4Math Grade 6Compare and Order Part-Whole Fractions Using an Area Model (continued)Resource URLGap Closing J/I Student Book: http://www.edugains.ca/resourcesMath/CE/LessonsSupports/GapClosing/NumberSense_Ju-Comparing Fractions nior-Int/GCU2_SB_ComparingFractions.pdfGap Closing J/I Facilitator Guide: http://www.edugains.ca/resourcesMath/CE/LessonsSupports/GapClosing/NumberSense_Ju-Comparing Fractions nior-Int/GCU2_FG_ComparingFractions.pdf

Represent and Compare Part-Whole Fractions Using a Linear ModelResource URLTeacher Guide: https://download.elearningontario.ca/repository/14/1474900000/Combined%20Teacher%20Unit 1 Activity 4: Notes%20for%20Activities%201%20-%2010/Teacher%20Notes%20-%20Activities%201%20Fractions: Representing to%205/content_4.htmlTeacher Guide: https://download.elearningontario.ca/repository/14/1474900000/Combined%20Teacher%20Unit 1 Activity 5: Fractions: Notes%20for%20Activities%201%20-%2010/Teacher%20Notes%20-%20Activities%201%20Comparing and Ordering to%205/content_5.htmlUnit 1 Activity 5: Action https://download.elearningontario.ca/repository/14/1474800000/GRD6MTHEU01A05/content_2.

htmlUnit 1 Activity 4: Minds On https://download.elearningontario.ca/repository/14/1474890000/GRD6MTHEU01/GRD-

6MTHEU01A04/content.htmlFractions: http://oame.on.ca/CLIPS/index.html?cluster=1&clip=1&activity=3Linear RepresentationsDrop Ball http://oame.on.ca/CLIPS/swfPlayer.html?swfURL=lib/CL001_KC_FractionsPartWhole/CL001_

C05_A03_W_DropballGame/CL001_C05_A03_W_DropballGame.swfDiscussion https://download.elearningontario.ca/repository/14/1474800000/GRD6MTHEU01A05/content_4.

htmlVirtual Dice http://www.curriculumbits.com/prodimages/details/maths/doubledice.htmlGuide to Effective Instruction: http://oame.on.ca/eduproject/ontariomathedresources/files/Number%20Sense%20and%20Numer-Number Sense and Numeration ation%20Vol%205%20Fractions%204-6.pdfGrades 4 – 6 Vol.5Fractions Learning Pathways: http://www.edugains.ca/newsite/DigitalPapers/FractionsLearningPathway/UnitFractions-A-walkthe-Walk the Line Line.htmlFractions Learning Pathways: http://www.edugains.ca/newsite/DigitalPapers/FractionsLearningPathway/UnitFractions-B-desktop-Desktop Fractions Fract.html

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TIPS4Math Grade 6Represent and Compare Part-Whole Fractions Using a Linear Model (continued)Resource URLFractions Learning Pathways: http://www.edugains.ca/newsite/DigitalPapers/FractionsLearningPathway/UnitFractions-D-Count-Counting Game ingGame.htmlFractions Learning Pathways: http://www.edugains.ca/newsite/DigitalPapers/FractionsLearningPathway/ComparingFrac-Comparing Fractions with Like tions-D-ComparingWithLikeNumeratorsOrDenominators.htmlNumerators or Like DenominatorsFractions Learning Pathways: http://www.edugains.ca/newsite/DigitalPapers/FractionsLearningPathway/ComparingFrac-Familiar Fractions and tions-B-BenchmarkComparisons.htmlBenchmark ComparisonsFractions Learning Pathways: http://www.edugains.ca/newsite/DigitalPapers/FractionsLearningPathway/ComparingFrac-Comparing Fractions tions-E-ComparingFractions.htmlFractions Learning Pathways: http://www.edugains.ca/newsite/DigitalPapers/FractionsLearningPathway/ComparingFrac-Equivalency Comparisons tions-A-EquivalencyComparisons.htmlmathies: http://mathies.ca/learningTools.php#Ff0Fraction Stripsmathies: http://mathies.ca/learningTools.php#Nn0Number Linemathies: http://mathies.ca/learningTools.php#Rr0Relational Rodsmathies: http://mathies.ca/games.php#Rr0Representation Match (Fractions)CLIPS: http://mathclips.ca/index.html?cluster=11.3 Fractions: Linear Measurement RepresentationsNCTM Illuminations: https://illuminations.nctm.org/Lesson.aspx?id=2867Fractional Clothesline – Student Number Line

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TIPS4Math Grade 6Represent, Compare and Order Part-Whole Fractions as Parts of MeasuresResource URLFractions Learning Pathways http://www.edugains.ca/newsite/DigitalPapers/FractionsLearningPathway/ComparingFrac-Recipe Task tions-A-RecipeTask.htmlmathies: http://mathies.ca/learningTools.php#Pp0Pouring ContainersGap Closing J/I Student Book: http://www.edugains.ca/resourcesMath/CE/LessonsSupports/GapClosing/NumberSense_Ju-Representing Fractions nior-Int/GCU1_SB_RepresentingFractions.pdfGap Closing J/I Facilitator Guide: http://www.edugains.ca/resourcesMath/CE/LessonsSupports/GapClosing/NumberSense_Ju-Representing Fractions nior-Int/GCU1_FG_RepresentingFractions.pdf

Exploration of the Relationship Between Part-Whole Ratios and FractionsResource URLmathies:Colour Tiles

http://mathies.ca/learningTools.php

mathies:Pattern Blocks

http://mathies.ca/learningTools.php#Pp0

mathies:Relational Rods

http://mathies.ca/learningTools.php#Pp0

mathies:Set Tool

http://mathies.ca/learningTools.php#Ss1

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TIPS4Math Grade 6Exploration of the Relationship Between Part-Part Ratios and FractionsResource URLTeacher Guide: https://download.elearningontario.ca/repository/14/1474900000/Combined%20Teacher%20Unit 1 Activity 4: Fractions: Notes%20for%20Activities%201%20-%2010/Teacher%20Notes%20-%20Activities%201%20Representing to%205/content_4.htmlTeacher Guide: https://download.elearningontario.ca/repository/14/1474900000/Combined%20Teacher%20Unit 1 Activity 5: Fractions: Notes%20for%20Activities%201%20-%2010/Teacher%20Notes%20-%20Activities%201%20Comparing and Ordering to%205/content_5.htmlTeacher Guide: https://download.elearningontario.ca/repository/14/1474900000/Combined%20Teacher%20 1 Activity 7: Ratio and Unit Rate Notes%20for%20Activities%201%20-%2010/Teacher%20Notes%20-%20Activities%206%20-%20

10/content_2.htmlAssignment 3: Part-to-Part https://download.elearningontario.ca/repository/14/1474790000/GRD6MTHEU01A04/assignment.Representations htmlUnit 1 Activity 5: Action https://download.elearningontario.ca/repository/14/1474800000/GRD6MTHEU01A05/content_2.

htmlUnit 1 Activity 7: Consolidation https://download.elearningontario.ca/repository/14/1474820000/GRD6MTHEU01A07/content_6.

htmlGuide to Effective Instruction: http://oame.on.ca/eduproject/ontariomathedresources/files/Number%20Sense%20and%20Numer-Number Sense and Numeration: ation%20Vol%201%20Big%20Ideas%204-6.pdfGrades 4 – 6 Vol. 1mathies: http://mathies.ca/learningTools.phpColour Tilesmathies: http://mathies.ca/learningTools.php#Pp0Pattern Blocks mathies: http://mathies.ca/learningTools.php#Pp0Relational Rodsmathies: http://mathies.ca/learningTools.php#Ss1Set Tool

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TIPS4Math Grade 6Unit RatesResource URLTeacher Guide: https://download.elearningontario.ca/repository/14/1474900000/Combined%20Teacher%20 Unit 1 Activity 7: Ratio and Unit Notes%20for%20Activities%201%20-%2010/Teacher%20Notes%20-%20Activities%206%20-%20Rate 10/content_2.htmlUnit 1 Activity 7: Action https://download.elearningontario.ca/repository/14/1474820000/GRD6MTHEU01A07/content_4.

htmlBrainingCamp http://www.brainingcamp.com/lessons/rates/questions.phpUnit 1 Activity 7: Consolidation https://download.elearningontario.ca/repository/14/1474820000/GRD6MTHEU01A07/content_7.

htmlmathies: http://mathies.ca/learningTools.phpColour Tilesmathies: http://mathies.ca/learningTools.php#Mm0Money Toolmathies: http://mathies.ca/learningTools.php#Pp0Pattern Blocks mathies: http://mathies.ca/learningTools.php#Pp0Relational Rodsmathies: http://mathies.ca/learningTools.php#Ss1Set Tool

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TIPS4Math Grade 6Solve Problems Involving Ratios or RatesResource URLTeacher Guide: https://download.elearningontario.ca/repository/14/1474900000/Combined%20Teacher%20Unit 1 Activity 7: Ratio and Unit Notes%20for%20Activities%201%20-%2010/Teacher%20Notes%20-%20Activities%206%20-%20Rate 10/content_2.htmlRatio Interactive Video http://www.learnalberta.ca/content/mesg/html/math6web/index.html?page=lessons&lesson=m6les-

sonshell03.swfUnit 1 Activity 7: Minds On https://download.elearningontario.ca/repository/14/1474820000/GRD6MTHEU01A07/content.htmlUnit 1 Activity 7: Action https://download.elearningontario.ca/repository/14/1474820000/GRD6MTHEU01A07/content_2.

htmlRemarkable Ratios https://download.elearningontario.ca/repository/14/1414310000/Pare_Gr7NumStoryboard2.htmlHockey Ratio Madness https://download.elearningontario.ca/repository/14/1413590000/LO1131.htmlAssignment 1: Ratios https://download.elearningontario.ca/repository/14/1474820000/GRD6MTHEU01A07/assignment.

htmlAssignment 2: Rate https://download.elearningontario.ca/repository/14/1474820000/GRD6MTHEU01A07/assignment.

htmlCheck Your Understanding https://download.elearningontario.ca/repository/14/1474820000/GRD6MTHEU01A07/content_4.

htmlNCTM Illuminations : https://illuminations.nctm.org/Lesson.aspx?id=1845Constant Dimensions

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TIPS4Math Grade 6Consolidation and Summative TasksResource URLUnit 1 Activity 4: Minds On https://download.elearningontario.ca/repository/14/1474790000/GRD6MTHEU01A04/content.htmlQuiz: Representing Simple http://oame.on.ca/CLIPS/index.html?cluster=1&clip=1&activity=6FractionsUnit 1 Activity 4: Action https://download.elearningontario.ca/repository/14/1474890000/GRD6MTHEU01/GRD-

6MTHEU01A04/content_4.htmlUnit 1 Activity 4: Consolidation https://download.elearningontario.ca/repository/14/1474790000/GRD6MTHEU01A04/content_5.

htmlUnit 1 Activity 5: Consolidation https://download.elearningontario.ca/repository/14/1474800000/GRD6MTHEU01A05/content_5.

htmlAssignment 2: https://download.elearningontario.ca/repository/14/1474800000/GRD6MTHEU01A05/assignment.Ordering Fractions htmlAssignment 3: https://download.elearningontario.ca/repository/14/1474800000/GRD6MTHEU01A05/assignment.EQAO-Type Problems htmlAssignment 4: Comparing https://download.elearningontario.ca/repository/14/1474800000/GRD6MTHEU01A05/assignment.Simple Fractions Quiz htmlUnit 1 Activity 7: Action https://download.elearningontario.ca/repository/14/1474820000/GRD6MTHEU01A07/content_3.

htmlFractions Learning Pathways http://www.edugains.ca/newsite/DigitalPapers/FractionsLearningPathway/UnitFractions-F-ihave.I Have Who Has htmlmathies: http://mathies.ca/games.php#Rr0Representation Match (Fractions)

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