Number, Algebra, Measurement, Space, Statistics, Earth geometry, time zones, Relative frequencies, Data collection, Graphs, Scales, plans and models, Time and Probability
Summarizing some important topics below ( the actual Curriula contains more than these topics)
- Display numerical data as frequency distributions, dot plots, stem and leaf plots, and histograms
- Calculate measures of central tendency, the arithmetic mean and the median
- Recognise the properties of common two-dimensional geometric shapes and three-dimensional solids
- Estimate and compare quantities, materials and costs using actual measurements from scale drawings; for example, using measurements for packaging, clothes, painting, bricklaying and landscaping.
- Compare the characteristics of the shape of histograms using symmetry, skewness and bimodality.
- Determine the overall change in a quantity following repeated percentage changes; for example, an increase of 10% followed by a decrease of 10%
- Apply percentage increases and decreases in situations; for example, mark-ups, discounts and GST.
- Use rates to make comparisons; for example, using unit prices to compare best buys, comparing heart rates after exercise.
- Calculate perimeters of familiar shapes, including triangles, squares, rectangles, and composites of these.
- Use metric units of mass, their abbreviations, conversions between them, and appropriate choices of units
- Calculate the volume of objects, such as cubes and rectangular and triangular prisms.
- Use units of energy to describe consumption of electricity, such as kilowatt hours
- Use units of energy to describe the amount of energy in activity, such as kilojoules
- Substitute numerical values into algebraic expressions
- Substitute given values for the other pronumerals in a mathematical formula to find the value of the subject of the formula.
- Interpret information presented in graphs, such as conversion graphs, line graphs, step graphs, column graphs and picture graphsDraw a line graph to represent any data that demonstrate a continuous change, such as hourly temperature.
- Use informal ways of describing spread, such as spread out/dispersed, tightly packed, clusters, gaps, more/less dense regions, outliers
- Complete calculations with rates, including solving problems involving direct proportion in terms of rate.
- Use units of time, conversions between units, fractional, digital and decimal representations
- Calculate perimeters of familiar shapes, including triangles, squares, rectangles, polygons, circles, arc lengths, and composites of these.
- Locate positions on Earth’s surface given latitude and longitude using GPS, a globe, an atlas, and digital technologies