Mathematics exemplars
There are seven sets of exemplars, covering the five strands set out in Mathematics in the New Zealand Curriculum.
Number: Fractions Number: Number strategy Measurement: Measuring Geometry: Tessellations Algebra: Exploring patterns Statistics: Data display Statistics: Probability
Matrix: Number Fractions progression
Identify half or quarter of a region
Assign unit fraction symbols to regions
Level 3iOrder unit fractions and fractions with like denominators
Level 3iiOrder fractions with unlike numerators and denominators
Convert fractions, decimals, and percentages
Matrix: Number Number strategy progression
Level 1iCounting from one
Level 1iiAdvanced counting
Early additive
Advanced additive and early multiplicative
Level 3/4Advanced multiplicative
Level 4/5Advanced proportional
Matrix: Measurement Measuring progression
Level 1iUse direct comparison
Level 1iiUse indirect comparison
Level 1iiiUse repeated non-standard units of measurement
Use standard units of measurement
Use reasoned measurement
Matrix: Geometry Tessellations progression
Fit shapes together to form a tessellation
Identify common shapes that tessellate
Use right angles to explain the tessellation of objects
Know that tessellating shapes fit together around a point
Use angles to show that shapes will or will not tessellate
Matrix: Algebra Exploring patterns progression
Copy a pattern and create the next element
Use a systematic approach to continue a pattern and find number values
Predict values using relationships between successive elements
Predict values using rules
Level 5iFind an algebraic expression for a relationship
Level 5iiSolve linear equations related to patterns
Matrix: Statistics Data display progression
Sort objects or whole number data and group these appropriately
Present category and whole number data appropriately
Present discrete data appropriately
Present a wide range of statistical data appropriately
Present comparative data in a variety of ways
Matrix: Statistics Probability progression
Level 1/2Make probability comparisons using everyday language
Level 3iAssign numerical probability values to simple events
Level 3iiIdentify all possible outcomes of more complex events
Use the possible outcomes to assign numerical probabilities
Identify probabilities where listing the outcomes is impractical or inefficient
Mathematics exemplars
