TIPS4Math Grade 4 Represent, Compare and Order Fractions

1 TIPS4 MathGrade 4 represent , Compare and Order Fractions Overall Expectations Students will: Read, represent , Compare , and Order whole numbers to 10 000, decimal numbers to tenths, and simple Fractions , and represent money amounts to $100 (4m8) Demonstrate an understanding of magnitude by counting forward and backwards by and by fractional amounts (4m9)Specific ExpectationsStudents will: represent Fractions using concrete materials, words, and standard fractional notation, and explain the meaning of the denominator as the number of the fractional parts of a whole or a set, and the numerator as the number of fractional parts being considered (4m17) Compare and Order Fractions ( , halves, thirds, fourths, fifths, tenths) by considering the size and the number of fractional parts (4m18) Compare Fractions to the benchmarks of 0, 1/2, and 1 (4m19)

2 Count forward by halves, thirds, fourths, and tenths to beyond one whole, using concrete materials and number lines (4m23)SpecificLessonLearning FocusExpectationsRepresent and Compare Equally partition set models into halves, thirds, fourths, fifths, eighths, and 4m17 Fractions Using a Set Model tenths4m18 Identify and name a fraction relative to its unit fraction ( , 5 one-thirds)4m19 represent Fractions using a set model ( , attribute blocks, pattern blocks, 4m23 money, set tool by ) Compose and decompose Fractions using unit Fractions and count the unit Fractions ( , 1 one-third, 2 one-thirds, 3 one-thirds or 1 whole, 4 one-thirds or 1 and one-third) to understand the meaning of a fraction and the relative size of the denominator Compare Fractions relative to benchmarksEduGAINS-MathematicsPage 1 of 15 TIPS4 MathGrade 4 represent , Compare and Order Fractions (continued)

3 Lesson Learning FocusSpecificExpectationsRepresent, Compare and Equally partition area models into halves, thirds, fourths, fifths, eighths, and 4m17 Order Fractions Using an tenths4m18 Area Model Identify and name a fraction relative to its unit fraction 4m19 represent Fractions using an area model ( , rectangles, pattern blocks, relational rods, fraction strips, grids) Compose and decompose Fractions using unit Fractions and count the unit Fractions to understand the meaning of a fraction and the relative size of the denominatorCompare Fractions relative to benchmarks and familiar fractionsIdentify and represent a fraction between two Fractions to understand the density of Fractions ( , find a fraction between and ) Order Fractions using a variety of strategies ( , similar units, relative to benchmarks and familiar Fractions )

4 4m23 represent , Compare and Equally partition linear models into halves, thirds, fourths, fifths, eighths, and 4m17 Order Fractions Using a tenths4m18 Linear Model Identify and name a fraction relative to its unit fraction 4m19 represent Fractions using a linear model ( , number line, fraction strips, relational rods) Compose and decompose Fractions using unit Fractions and count the unit Fractions to understand the meaning of a fraction and the relative size of the denominatorCompare Fractions relative to benchmarks and familiar fractionsIdentify and represent a fraction between two Fractions to understand the density of fractionsOrder Fractions using a variety of strategies ( , similar units, relative to benchmarks and familiar Fractions )

5 4m23 EduGAINS-MathematicsPage 2 of 15 TIPS4 MathGrade 4 represent , Compare and Order Fractions (continued) Lesson Learning FocusSpecificExpectationsRepresent, Compare and Equally partition measurement models into halves, thirds, fourths, fifths, 4m17 Order Fractions as Parts of eighths, and tenths4m18 Measures Identify and name a fraction relative to its unit fraction 4m19 represent Fractions using a measurement model ( , number line, measurement devices such as cups)

6 Compose and decompose Fractions using unit Fractions and count the unit Fractions to understand the meaning of a fraction and the relative size of the denominatorCompare Fractions relative to benchmarks and familiar fractionsIdentify and represent a fraction between two Fractions to understand the density of fractionsOrder Fractions using a variety of strategies ( , similar units, relative to benchmarks and familiar Fractions )4m23 Consolidation and Summative TasksEduGAINS-MathematicsPage 3 of 15 TIPS4 MathGrade 4 represent and Compare Fractions Using a Set ModelSpecific Expectations: 4m17, 4m18, 4m19, 4m23 Learning FocusBlended LearningOther ResourcesTeacher GuideUnit 1 Activity 10: Fractions Part 1: Compare and OrderOERB ID: ELO1471910 CLIPS Who Cares About Fractions ?

7 Fractions Learning PathwaysMinds On Explore the use of Fractions in our everyday lives Fractions Shape Setmathies Set Tool MoneyNCTM Illuminations Another Look at the Set Model Using Attribute PiecesGap Closing J/I Student Book: Representing Fractions pp 23 26, 31 - 35 Gap Closing J/I Facilitator Guide: Representing Fractions pp 24 - 31ePractice Representing Proper Fractions as Parts of a SetAction Equally partition set models into halves, thirds, fourths, fifths, eighths, and tenthsIdentify and name a fraction relative to its unit fraction ( , 5 one-thirds) represent Fractions using a set model ( , attribute blocks, pattern blocks, money, set tool by )

8 Compose and decompose frac-tions using unit Fractions and count the unit Fractions ( , 1 one-third, 2 one-thirds, 3 one-thirds or 1 whole, 4 one-thirds or 1 and one-third) to understand the meaning of a fraction and the relative size of the denominatorCompare Fractions relative to benchmarksUnit 1 Activity 10: Action OERB ID: ELO1470530 Group Work - set modelNote: supplementation required to represent Fractions using a variety of set models, compose/decompose, count and Compare Fractions to benchmarksConsolidationEduGAINS-Mathemat icsPage 4 of 15 TIPS4 MathGrade 4 represent , Compare and Order Fractions Using an Area ModelSpecific Expectations: 4m17, 4m18, 4m19, 4m23 Learning FocusBlended LearningOther ResourcesTeacher GuideGuide to Effective Instruction: Number Sense and Numeration: Grades 1-3 pp 207 212 What Fraction is it?

9 Fractions Learning Pathways Brownie Sharing Changing Wholes (Pattern Block Challenge) Pretty Powerful Paper Folding Comparing Fractionsmathies Colour Tiles Fraction Strips Pattern Blocks Relational Rods Representation Match ( Fractions ) Dominoes ( Fractions )CLIPS Fractions Area RepresentationsNCTM Illuminations Virtual Pattern Blocks Pattern Block Fractions Expanding our Pattern Block Repertoire Exploring the Value of the WholeGap Closing J/I Student Book: Representing Fractionspp 13 16, 27 30 Gap Closing J/I Facilitator Guide: Representing Fractions pp 16 19, 28 - 31 Unit 1 Activity 10: Fractions Part 1: Compare and OrderOERB ID.

10 ELO1471910 Minds On Review equi-partitioning through a paper folding activityAction Equally partition area models into halves, thirds, fourths, fifths, eighths, and tenthsIdentify and name a fraction relative to its unit fraction represent Fractions using an area model ( , rectangles, pattern blocks, relational rods, fraction strips, grids) Compose and decompose Fractions using unit Fractions and count the unit Fractions to understand the meaning of a fraction and the relative size of the denominatorCompare Fractions relative to benchmarks and familiar fractionsIdentify and represent a fraction between two Fractions