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Mathematics
9 sections available · 62 chapters available
Free Mathematics study notes for IB Primary Years Programme (PYP) students. Each chapter breaks down a key concept with examples and practice prompts you can turn into AI drills in the thinka app.
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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