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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 | Symmetry Figures | Pop Bubbles to Define Shape Attributes | Classify Polygons by Attributes using Pipe manipulatives | |||||||||||||||||||||||||||||||

20 | K.G.3 Identify and describe shapes | ðŸ“½ 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 | 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 | ðŸ“½ 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 | ðŸ“½ Add Type 1 Fractions with Common Denominators Video | ||||||||||||||||||||||||||||||||

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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 âˆ•2 = 2 âˆ•4, 4 âˆ•6 = 2 âˆ•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 | ðŸ“½ Kinesthetic Line plot of fractions 1/2 and 4ths internal reference frame | ðŸ“½ 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 | ðŸ“½Video 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 | ðŸ“½ 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 | ðŸ“½ Common Multiple Type Video | ðŸ“½ Type 3 Fractions with Area Model Video | ðŸ“½1/4 Inch Ruler Warm-up Drill | |||||||||||||||||||||||||||||||

52 | ðŸ“½ 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 | ðŸ“½ Tree Bud Measurement Video | ||||||||||||||||||||||||||||

53 | ðŸ“½ 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 | ||||||||||||||||||||||||||||||||

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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" | ðŸ“½ Box Dollars, Shade Penny Instructional Video | Pure Currency Comparison and Number Chains | ||||||||||||||||||||||||||||||

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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 | ðŸ“½ Multisensory Currency Value | Divide Fractions Using Semantic Cues to Predict Quotients. | ||||||||||||||||||||||||||

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66 | Convert Mixed Numbers to Improper Fractions | Multiply a Mixed # by a half | ðŸ“½ Convert improper fractions to mixed numbers with Fraction Universe model | Improper to mixed number worksheet series. | Leaf Drop Fraction to % Activity Series | |||||||||||||||||||||||||||||

67 | ðŸ“½ Convert Mixed to Improper Video | Fractions decimals and % conversions | ðŸ“½ Initial Fraction Encoding with Leaf Drop Worksheet and Activity series | |||||||||||||||||||||||||||||||

68 | ðŸ“½ Decimals to fractions video | |||||||||||||||||||||||||||||||||

69 | Area of rectangles with mixed number dimensions | Multiply a whole # dimension by a mixed # dimension- area model | ðŸ“½Fractions decimal percent conversions | |||||||||||||||||||||||||||||||

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