WM Fraction System

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2			Vertical Path of Skill Development for the WoodinMath Fraction System
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8		Readiness Skills: Whole-To-Part Relationships							Article:	Durable Images Teach Fractions
9		Stage 1: Symmetry Within Wholes (partitioning into equal halves) - Kindergarten
10		This stage will help children develop an appreciation of symmetry within common objects. Common objects are named. Basic shapes and solids are labeled and divided in two by area, volume and mass. Children will identify pairs of items to make a whole unit (shoes, mittens, ears).
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13	Conceptual Models				Numeration		Comparison			Facts		Procedures		Applications
14	Look for and make use of structure.
15	Semantics driving quantity		Quantity driving Semantics
16					2= 1+1 4=2 +2
17	Complete the pair using language		Complete the Pair using visual matching
18	Wholes and named attributes
19	Spatial symmetry				Pop Bubbles to Define Shape Attributes	Classify Polygons by Attributes using Pipe manipulatives
20	K.G.3 Identify and describe shapes					📽 Related Video of Shape Construction and Classification	Shape Name Vocabulary Notes and worksheets
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22		Evaluation: Necessary pre-requisite skills to move to Stage 2: the ability to perform the above activities with ample wait time, but minimal external cueing.
23		Stage 2: Attributes Within Wholes (partitioning wholes into same-sized groups)
24		This stage will help children apportion common objects into two or more equal subordinate parts (attributes). Basic shapes are labeled and divided along axes of symmetry. Coins are named. Students will decompose whole numbers into same sized-parts and forge related number statements.
25	Conceptual Models				Numeration		Comparison			Facts		Procedures		Applications
26		even numbers			Decompose quantities less than or equal to 12 into same-sized addends in more than one way, e.g., by using objects or drawings, and record each decomposition by a drawing or equation (e.g., 6 = 3 + 3 and 6 = 2 + 2 + 2, and 6 =1+1+1+1+1+1).		Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group for groups with up to 10 objects, e.g., by using matching and counting strategies.
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28					Encode Fraction Universe	Initial Fraction Universe Encoding Model	Durable Image Fraction Models
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31		Stage 3: Fraction Addition and Subtraction (like denominators)
32		In this stage, students add and subtract (parts) attributes of the same whole using fractions and mixed numbers with common denominators.
33	Conceptual Models				Numeration		Comparison			Facts		Procedures		Applications
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35												Add Type 1 Fractions with Common Denominators and Durable Images	Add and Subtract Fractions Type 1 Students Encode, then Set-up Problems
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40		Evaluation: Necessary pre-requisite skills to move to Stage 2: the ability to perform the above activities with ample wait time, but minimal external cueing.
41		Stage 4: Fraction Equivalence and Related Operations
42		In this stage, students learn to rename fractions to equivalent forms based on attributes ( 1 left hand:1/2 = 5 left fingers: 5/10) and then perform this procedurally. Decimal fractions are equated to decimal numbers within the hundredths place and linked to currency. Fractions and mixed numbers with unlike denominators are added and subtracted.
43	Conceptual Models				Numeration		Comparison			Facts		Procedures		Applications
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45												Fraction Frame Template
46	Recognize and generate simple equivalent fractions, e.g., 1 ∕2 = 2 ∕4, 4 ∕6 = 2 ∕3. Explain why the fractions are equivalent, e.g., by using a visual fraction model.						Fraction Universe fractions equivalent to 1/2 movie	All Student Respond = Fractions Durable Images	Renaming Equivalent Fractions using Durable Images	Expand and Simplify Fractions While Practicing Fact Families and the Multiplication Table Area Model			📽 Kinesthetic Line plot of fractions 1/2 and 4ths internal reference frame	📽 Kinesthetic Line plot of fractions within an inch external reference frame
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48							Fraction Graphic Organizer Cards and Templates to Rename and add	📽Video for Fraction Graphic Organizer Cards and Templates to Rename and add	Ant Cards			Plot diagrams and fractions on number line	Find Mixed Numbers on Ruler Diagrams	Perimeter Fractions
49											📽 Add Type 2 Fractions using Semantic Cues to Rename Fractions	Type 1 and 2 Addition and Subtraction C.D.= 6 using 6-Pack Graphic	Type 1 and 2 Addition and Subtraction C.D.= 8 using Octopus Graphic	Add and subtract Type 2 with scaffolded Semantic Diagrams	Determine Common Multiple Type 1,2,3
50				Tactile Currency Worksheet		Encode Decimal Fractions	Split between two fraction values worksheet					Add Decimal Fractions and decimals relating to money in Tandem
51														📽1/4 Inch Ruler Warm-up Drill
52							📽 Convert improper fractions to mixed numbers with Fraction Universe model	Regroup Mixed # Introduction	Improper to mixed number worksheet series.	Mixed # Regroup Semantic Diagram			Tree Bud Measurement	Tree Bud Measurement Video
53										Mixed Number addition and subtraction with linear diagrams
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60		Stage 5: Multiplying and Dividing Fractions and Mixed Numbers and Fraction / Decimal /Percent Conversion
61		In this stage,
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63					Multiply whole numbers by 1/2 three Ways:	Multiply whole numbers by 1/10 three ways	Multiply whole numbers by 1/4 three ways	Multiply whole numbers by 1/5 three ways		Whole number x unit fraction word problems
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