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NO. 51 Songqin St., Taipei Taiwan, R. O. C.Phone: 886-2-2345-1221Fax:886-2-2345-1221E-Mail : info@.twWebsite (中）: （English）: Report 學生姓名：何允中 年齡：10 yLessons 完成需加強HistoryThe Coming of LifeBlack StripThe Story about Coming of Human BeingsThe Hand ChartClock of ErasThe First Timeline of Human Beings Fundamental Needs of Human Beings (H12-3)History Question Charts (H13-4)The Three Phases in HistoryThe Second Timeline of Human BeingsMigration ChartsThe Four River Civilization in the Eastern HemisphereEarly Civilization s of the AmericasTimeHistory TimelineGeographyCreation Story: God who has No HandsFollow-ups to the Story – Sun and EarthThe Composition of EarthFurther Details of the composition of the Earth 9y~12yFormation of MountainsThree States of matterFurther States of Matter: SolidsFurther States of matter: LiquidsDifferent Ways of Combining: The law regarding Likes and DislikesSeparation, Saturation, Super SaturationAttraction and GravityRotation of the Earth and its Consequences Time ones Work ChartThe Earth is a Sphere and its ResultsTilt of the AxisThe Seasons and the Two TropicsThe onesWork Chart of the onesThe Protractor ChartThe Seasons Work ChartThe Protection of the AtmosphereThe RainsExperiments Prelude to WindsThe WindsLand and Sea BreezesChanges in the Winds Caused by the SeasonsRainWork chart of the WindsOcean CurrentsWind as a SculptorThe Work of the River Rivers Flow from Highlands to LowlandsTypes of Riverbed ValleysThe RainThe WavesWork of IceSpread of VegetationThe Water CyclePeople of Different onesInterdependenciesEconomic Geography What is Produced and Where Study of Consumption Comparison of Production and Consumption Imports and Exports Volume of TradeLanguageThe Story of Communication in SignsThe History of Written LanguageThe History of Spoken LanguageWord Study – Suffixes ex1ex2ex3Word Study - PrefixesWord Study – Compound WordsWord Study – Word Family Word Study – SynonymsGrammar Boxes I - Noun – Oral presentation L14-1Grammar Boxes II - Article & Noun Definite and Indefinite ArticlesNouns: Number (Singular and Plurals)Masculine and FeminineProper Nouns and Common NounsConcrete and Abstract NounsMaterial and CollectiveClassification of Abstract NounGrammar III: The AdjectiveGrammar IV: The VerbCommand CardsComparison of the AdjectiveIntro. of the VerbThe Verb Command CardsGrammar Box V: PrepositionGrammar Box VI: AdverbGrammar Box VII PronounsGrammar Box VIII: ConjunctionGrammar Box IX: InterjectionsPersonal PronounsIntro. to Tenses of the VerbThe Simple Tenses – Present The Simple Tenses – Past TenseStrong and Weak VerbsAuxiliary VerbsThe Simple Tenses – Future TenseCompound (perfect) TensePast Perfect TenseThe Infinitive and MoodsThe Verb – Negative formLogical Analysis – Simple SentencesFirst Stage – extension 1 Adverbial Extensions– extension 2 indirect Object– extension 3 AtttibutiveSecond Stage Third StageFourth StageOther Aspects of Simple SentencesElliptical Sentences or FragmentsThe Order of Sentence – simple sentencesVoice of the VerbReflexive QualityTransitive and Intransitive VerbsCompound SentencesComplex Sentences (6-9) – Part 1 oral intro.Part 2 – introducing the blue arrowsPart 3: introducing the orange arrowsPart 4: introducing the black arrowsPart 5: introducing Noun clausesPart 6: introducing a Noun Clause Functioning as a SubjectPart 7: Introducing a Noun Clause Functioning as an Indirect ObjectConjunction Degrees of Dependence Ex1 Ex2 Written Language Geometry Intro. – How Geometry got its nameCongruency, Similarity, Equivalence: Congruency Similarity Equivalence With triangular metal insets Extension w/ iron materialsEquivalence I w/ Constructive Triangles Triangular boxSmall Hexagonal boxLarge hexagonal boxTriangle box and the small hexagonal boxBox of 12 blue right-angled scalene trianglesPolygons IAngles I– Parts of an angleMeasuring AnglesAddition and Subtraction of anglesIntro. to a regular ProtractorHow to Bisect an AngleLines – concept and Nomenclature Position of Two LinesIntersecting LinesAngles: II: relationships between anglesRelationships of angles formed by parallel lines and a transversal Size relationship of these anglesEquivalence: II – Pythagoras plates 1 and 2Pythagoras w/ the constructive trianglesPolygons II -Nomenclature of PolygonsTriangle, Rhombus, Trapezoid, Regular PolygonSum of the Angles of Plane FiguresEquivalence w/ Iron Materials Triangle: Sensorial LevelRhombus: Sensorial LevelTriangle: Reasoning LevelTrapezoid: Sensorial LevelTrapezoid: Reasoning LevelDecagon: Sensorial LevelDecagon: Reasoning LevelEuclid’s PlateArea of Plane Figures–Concept of Area: Yellow MaterialPresentation of ParallelogramPresentation of TrianglesDeriving the Formula for Area - Yellow MaterialDeriving the Formula for Area - iron MaterialCircle NomenclatureRelationships between line Segments and circumferenceRelationships Between two circumferenceArea of a Circle Circle as a Special PolygonMeasuring the CircumferenceFormula for the Area of a CircleRelationship Between the Apothem and the Side of a Plane FigureArea of a Circle Circle as a Special Polygon Measuring the CircumferenceFormula for the Area of a CircleRelationship between the apothem and the side of a plane FigureSolid GeometryConcept of VolumeEquivalence as Related to Solid FiguresThree important DimensionsEquivalence between prisms w/ Various BasesDerivation of the FormulaSolids of RotationVolume of a pyramidVolume of Cylinder and ConeNomenclature of PolyhedronsLateral and total AreaGeometry Nomenclature MaterialMathWooden Hierarchical 1~1000000Long Multiplication Large Bead Frame Bank Game Flat Bead Frame Checkerboard Geometrical Form of Multiplication Category MultiplicationLong Division Racks and Tubes writing on the paper Just on the paper Group DivisionCommutative Laws of Multiplication Distributive Laws of Multiplication Multiples – ex1 eX2 L. c. M.Factors – Ex1 Ex2–Finding Prime Factors w/ Table C Ex3-Finding P. F. w/ peg boardEx4 - Finding the Highest Common FactorEx5 – Finding the H.C. F. w/ Table CDivisibility - Ex1 divisibility by 2 Ex2 divisibility by 5Ex3 divisibility by 25Ex4 divisibility by 4Ex5 divisibility by 8Ex6 divisibility by 3Ex7 divisibility by 9Ex8 Divisibility by a Number’s Prime FactorsEx9 divisibility by 7Ex10 divisibility by 11Introduction to Fractions (7y)Equivalence with FractionsFraction – Simple Operations – Addition & Subtraction of Fractions with Different Denominators– Addition SubtractionExercises Leading to Abstraction of Addition and Subtraction of fractions with different denominators Multiplication by a Fraction Division by Fraction Decimal Fractions(7y) part 1: introduction of Quantity part 2: whole number & decimal fractions Symbols linked to Quantity Formation & Reading of QuantitiesOperations with Decimal Fractions Conversion of Common Fractions to Decimal FractionsThe Effects of Multiplying or Dividing numbers by the Powers of TenMultiplying of a Decimal Fraction by a Decimal Fraction Introduction to the Decimal CheckerboardDecimal CheckerboardThe Relative Size of the Terms in a Multiplication ProblemThe Relative Size of Numbers when you are Dividing part A: integer divided by an integer e.g. 100,000÷10Part B: Whole number divided by a decimal e.g. 10,000÷0.1Part C: whole number divided by a whole number e.g. 10÷100,000Division of a Decimal Fraction by a Decimal Fraction part A : 8.6÷4.3 Part B: 0.4÷0.25(All on the same day) 0.36÷0.027Leading to Abstraction of multiplication of Decimal FractionsDivision of a Decimal Fraction on Paper part A: divisor is a whole Part B: divisor is a decimal e.g. 4÷0.25Prerequisites to Squaring of Numbers Notation of SquaresNotation of CubeGames for Squaring and Cubing Number (no way to predict age) Game 1:squares & cubes- Game 2: beads bars and square s- Game 3: patterns (only paper & pencil)- Game 4: the Decanomial (all the cubes, squares, chains and bead bars 1-10) － Extensi0nSums Using Squares and Cubes (7.5~8y)Transformation of a Square (7~7.5y)– ex 1: make the Binomial ex 2: make the TrinomialEx 3: the same sort of activity as aboveEx 4: w/ graph paperEx 5: Algebraic Notation (a+b)2= a2+2(ab)+b2Ex 6: Trinomial Algebraic Notation (a+b+c)2Passing from a square to its Successive square(7.5y)Squaring a Sum Ex1: binomial(4+3)(4+3)Ex2: Trinomial(2+3+5)(2+3+5)Ex3: Algebraic ExpressionSquaring with Hierarchical Value(8.5y) EX1 Ex2: Squaring a binomial using the pegboardEx3: Trinomial on the pegboardEx4: Squaring on graph paperEx5: Extraction of the Rules for SquaringCubing a Binomial (6~9y) Ex1: (3+5)3Ex2: cubing material+paper+pencial (6+3)3Ex3: The formulaEx4: Different way to build the (a+b)3Cubing a Trinomial Cube(6~9y)Cubing a quadrinomial Cubing with Number Value on PaperStory of the Three KingsCubing a Number Having Decimal Value (9~9.5y)Square Roots Ex2: pegboard, box of hierarchically colored pegs, N/N2 chart and guide squaresEx3: we are just going to intro. more writingBacktracking – Square RootsPassages to Abstraction – Square RootsNext step in the passages to AbstractionNext step to Abstraction Special Case of Square RootsCube Root Power of 2Power of 10Signed Numbers (7.5y)Operation s with Signed Numbers Operation Using Exponential Notation 11yPresenting a Negative Exponent in DivisionExpanded Power NotationOperations with expanded power notation Word Problems (8~9y)Distance, Velocity and Time (8~9y)Principal, interest, Rate and Time (8~9y)Non-Decimal Bases (9~12y) Base 5 Base 4Operations in other number bases(9~12y) Conversions of Numbers from one Base to Another(9~12y)Ratio and Proportions(9~12y) Ratio Proportions Introduction to Algebra(9~12y) Algebra operationsSolving for an unknown in an equation Subtraction to solve for x Addition to solve for x Division to solve for x Multiplication to solve for xWord Problem in AlgebraRemedial Math BotanyBotany - The Needs of the PlantPlants grow toward the lightPlant need Minerals The Leaf – Main FunctionDetail : Function of the LeafThe Parts of the LeafVarieties of LeavesSimple Classification Varieties of Leaves Depending on FunctionFollow-up ActivitiesThe Roots – Main FunctionParts of the RootCollaboration between the Leaves and the RootsOther Function of the RootsThe Two Main TypesOther SensitivitiesVarieties of RootsFollow-up ActivitiesThe Stems – Main Function Two kinds of StemsParts of a Woody StemTwo kinds of the TubesHow Water is Moved through the StemsVarieties of StemsThe Flower – Main FunctionThe Parts of the FlowerVarieties of the Parts of the FlowerSpecialization of Flowers to Ensure PollinationThe Fruit – Main Function Two Main kinds of FruitParts of the Succulent FruitDifferent Kinds of Succulent FruitsAnother way to look at FruitsKinds of Dry FruitsThe Seed – Main Function Two kinds of SeedsSimple Classification How Seeds TravelZoologyStory Material – Oral IntroductionActivity 1: Reading activityActivity 2: Large pictures and Food cardsActivity 3: Question and Answer cardsBody Function Material – Activity 1 Activity 2 Activity 3 Activity 4Classification - Kingdom MaterialSecond way to present ClassificationGeneraTracing the Genealogy of a PlantAnimal Classification – first period lesson - Second period - the third period -tree of ClassificationEcology ................
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