Curriculum+Level+4+Mathematics+and+statistics

Curriculum levels

=Level Four Mathematics and Statistics= 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 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.

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 threedimensional 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).

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.