WM Fraction System

	A	C	D	E	F	G	I	J	K	L	M	N	O	P	Q	R
1
2			Vertical Path of Skill Development for the WoodinMath Fraction System
3
4
5
6
7
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).
11
12
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		Symmetry Figures			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
21
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.
27
28					Encode Fraction Universe		Durable Image Fraction Models
29
30
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
34
35					📽 Leaf Pile Fractions Video about describing the composition of a pile of leaves using fractions. Learn about the Box over Circle graphic organizer	Leaf Pile Fractions Slides Presentation with embedded video for in person presentations						Add Leaf Fractions Type 1 Worksheets to follow Leaf Pile Fractions	Add Type 1 Fractions with Common Denominators and Durable Images	Add and Subtract Fractions Type 1 Students Encode, then Set-up Problems
36						Leaf Pile Fractions							📽 Add Type 1 Fractions with Common Denominators Video
37
38
39
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
44
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
47
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	Measure and +/- 1/4 Inches G4
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
50				Tactile Currency Worksheet		Encode Decimal Fractions	Split between two fraction values worksheet	Add Decimal Fractions and decimals relating to money in Tandem		FRACTION Type 1,2,3 Descriptions	Determine Common Multiple Type 1,2,3	Solve the same problem as a type 1,2 and 3	TYPE 3 FRACTIONS WITH AREA MODEL	SIMPLIFY FRACTIONS WITH 2,5,10,9,3,6 DIVISIBILITY RULES	Divisibility Rules Simplify- template to fill-in by hand	Expand and Simplify Fractions While Practicing Fact Families and the Multiplication Table Area Model
51											📽 Common Multiple Type Video		📽 Type 3 Fractions with Area Model Video	📽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								📽 Introduction to regrouping mixed numbers Video		Mixed Number addition and subtraction with linear diagrams	Regroup mixed subtraction type 2
54											Regroup Mixed Subtraction remove scaffolding		SELECT TYPE 1,2,3 AND SOLVE
55
56
57
58
59
60		Stage 5: Multiplying and Dividing Fractions and Mixed Numbers and Fraction / Decimal /Percent Conversion
61		In this stage,
62	Precursor Skills:	Add decimal numbers using a graphic organizer "Box dollar shade penny"	📽 Box Dollars, Shade Penny Instructional Video	Pure Currency Comparison and Number Chains
63
64				Multiply a distance by 1/2	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	📽 Multisensory Currency Value	Divide Fractions Using Semantic Cues to Predict Quotients.
65
66					Convert Mixed Numbers to Improper Fractions	Multiply a Mixed # by a half	📽 Convert improper fractions to mixed numbers with Fraction Universe model	Improper to mixed number worksheet series.				Leaf Drop Fraction to % Activity Series
67					📽 Convert Mixed to Improper Video					Fractions decimals and % conversions		📽 Initial Fraction Encoding with Leaf Drop Worksheet and Activity series
68										📽 Decimals to fractions video
69					Area of rectangles with mixed number dimensions	Multiply a whole # dimension by a mixed # dimension- area model				📽Fractions decimal percent conversions
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100