Mathematics

9个单元 · 62个章节

免费的Mathematics学习笔记,专为IB Primary Years Programme (PYP)学生准备。下列每个章节都涵盖一个重点主题,附有例题与练习提示,可在 thinka 应用中延伸练习。

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

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

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

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

  • Selecting an appropriate graph form

  • Range and scale on graphs

  • Line graphs and circle graphs (pie charts)

  • Range, mode, median and mean

  • Designing a survey and organizing the data

  • Databases and spreadsheets

  • Experimental and theoretical probability

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