Level 4

In a range of meaningful contexts, students will be engaged in thinking mathematically and statistically. They will solve problems and model situations that require them to:

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.

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).

Statistics

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.