Mathematics

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IB Primary Years Programme (PYP) の学習者向けの無料Mathematics学習ノート。各章のリンクから、要点・例題・練習問題への導線にアクセスできます。

Grade 1

    Number — Phases 1-2

    • Counting, number words and numerals

    • One-to-one correspondence and conservation of number

    • Base 10 place value to hundreds or beyond

    • Estimating, comparing and ordering numbers

    • Automatic recall of addition and subtraction facts

    • Modelling addition and subtraction of whole numbers

    • Fractions as whole-part relationships

    Number — Phases 3-4

    • Place value to thousands, millions and beyond

    • Equivalent fractions and decimal fractions

    • Comparing, ordering and converting fractions, decimals and percentages

    • Percentages in real-life situations

    • Automatic recall of multiplication and division facts

    • Strategies and algorithms for the four operations

    • Estimation and the reasonableness of answers

    • Ratios and integers

    Grade 2

    Grade 3

    • Addition and Subtraction Within 1000

    Pattern and function — Phases 1-4

    • Patterns in everyday situations: repeating and growing

    • Patterns in numbers: odd, even and skip counting

    • Extending and creating number sequences

    • Inverse relationships and properties of the operations

    • Identifying rules for patterns and functions

    • Generalizing patterns with expressions and equations

    • Exponents as repeated multiplication, and roots

    Grade 4

    Measurement — Phases 1-2

    • Comparing and ordering objects by attribute

    • Non-standard units of measurement

    • Standard units: length, mass and capacity

    • Money and temperature

    • Time: sequencing events and reading clocks

    • Estimation and choosing measuring tools

    Measurement — Phases 3-4

    • Perimeter and area

    • Volume and capacity

    • Formulas for perimeter, area and volume

    • Reading scales and measures between two numbers

    • Angles as a measure of rotation: measuring and constructing

    • 12-hour and 24-hour clocks, timetables and schedules

    • Converting units and deciding on accuracy

    Grade 5

    Grade 6

    Shape and space — Phases 1-2

    • Describing and comparing 2D and 3D shapes

    • Classifying and naming shapes by their properties

    • Relationships among and between 2D and 3D shapes

    • Symmetry in the immediate environment

    • Position, paths, regions and boundaries

    • Interpreting and giving simple directions

    Shape and space — Phases 3-4

    • Regular and irregular polygons and their properties

    • Congruency and similarity in 2D shapes

    • Transformations, reflective and rotational symmetry

    • Tessellating patterns

    • Coordinates on a grid

    • Bearing, direction and position

    • Polyhedra, nets and 2D representations of 3D objects

    • Scale (ratio): enlarging and reducing shapes

    Data handling — Phases 1-2

    • Sorting and labelling objects by attributes

    • Pictographs and tally marks

    • Bar graphs and living graphs

    • Tree, Venn and Carroll diagrams

    • Interpreting data by comparing quantities

    • Chance in daily events: the language of likelihood

    Data handling — Phases 3-4

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