Tau Waru

Aim: NZC Level 4 completed

Year 8 students should aim to arrive at Secondary School with a FULL understanding of NZC Level 4 and a few NZC Level 5 skills. This will have a massive POSITIVE impact on their future studies and set them up for "Excellence" in NCEA.

Notice how the middle of the curriculum levels line up with school years:

Year 2 = Level 1

Year 4 = Level 2

Year 6 = Level 3

Year 8 = Level 4

Year 10 = Level 5

Year 11 = Level 6 = NCEA Level 1

Year 12 = Level 7 = NCEA Level 2

Year 13 = Level 8 = NCEA Level 3

The ideal situation is that Year 9 and Year 10 build a comprehensive understanding of NZC Level 5, and a basic understanding of NZC Level 6 skills. Level 6 Algebra is achievable when students have spent year 8, 9 and 10 developing their algebraic understanding. Algebra is the language of mathematics and languages take time to learn.

NZC Level 4: Number and Algebra

Number strategies and knowledge

Use a range of multiplicative strategies when operating on whole numbers.
Understand addition and subtraction of fractions, decimals, and integers.
Find fractions, decimals, and percentages of amounts expressed as whole numbers, simple fractions, and decimals.
Apply simple linear proportions, including ordering fractions.
Know the equivalent decimal and percentage forms for everyday fractions.
Know the relative size and place value structure of positive and negative integers and decimals to three places.

Equations and expressions

Form and solve simple linear equations.

Patterns and relationships

Generalise properties of multiplication and division with whole numbers.
Use graphs, tables, and rules to describe linear relationships found in number and spatial patterns.

NZC Level 4: Geometry and Measurement

Measurement

Use appropriate scales, devices, and metric units for length, area, volume and capacity, weight (mass), temperature, angle, and time.
Convert between metric units, using whole numbers and commonly used decimals.
Use side or edge lengths to find the perimeters and areas of rectangles, parallelograms, and triangles and the volumes of cuboids.
Interpret and use scales, timetables, and charts.

Shape

Identify classes of two- and three-dimensional shapes by their geometric properties.
Relate three-dimensional models to two-dimensional representations, and vice versa.
Position and orientation
Communicate and interpret locations and directions, using compass directions, distances, and grid references.

Transformation

Use the invariant properties of figures and objects under transformations (reflection, rotation, translation, or enlargement).

NZC Level 4: Statistics and Probability

Statistical investigation

Plan and conduct investigations using the statistical enquiry cycle:
determining appropriate variables and data collection methods
gathering, sorting, and displaying multivariate category, measurement, and time-series data to detect patterns, variations, relationships, and trends
comparing distributions visually
communicating findings, using appropriate displays.

Statistical literacy

Evaluate statements made by others about the findings of statistical investigations and probability activities.

Probability

Investigate situations that involve elements of chance by comparing experimental distributions with expectations from models of the possible outcomes, acknowledging variation and independence.
Use simple fractions and percentages to describe probabilities.

Learning to read the language of the NZC will help you learn the skills you need in order to do well in assessments. Assessments matter because they provide evidence of what you can do. Doing well in assessments is about strategy and organisation, and being prepared to work.

Some links for students who are aiming for Level 5:

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