Education - Mathematics
The focus in term one is on numerical skills. Students will work independently and in small groups to develop skills in number operations, mapping and statistics in semester one. The mode of delivery will be varied, including teacher directed, student directed, and will also include use of technology to enhance the learning experience.
The focus in Semester Two is on problem solving. Students will work independently and in small groups to develop their skills in introductory formula writing in algebra, patterns, identifying angles, calculating area of basic shapes, becoming familiar with measurement and time and transformations. The mode of delivery will be varied, including teacher directed, student directed, and will also include use of technology to enhance the learning experience.
In this unit of work students will develop number skills with specific unit focus on Number and Algebra, Location & Measurement. An emphasis will be placed on developing numeracy skills and the ability to work mathematically through extended investigation.
By the end of this semester students will have developed skills in Statistics and Probability by collecting, analysing and interpreting data and the effect on averages of outliers. They will have determined complimentary events and probabilities to solve problems. In studying Measurement and Geometry they will recognise the features of circles and solve problems including circumference and area and use correct units in all aspects of measurement. An emphasis has been placed on developing numeracy skills and the ability to work mathematically through extended investigation.
Students will extend understanding of Number and Algebra by building on knowledge of Index Laws and simplifying a range of algebraic expressions. They will also describe the relationship between graphs and equations through a review of Co-ordinate Geometry. They will use proportionality both in graphs of rate and of financial mathematics and interpret ratio and scale factor. They will also follow mathematical arguments to develop strategies in investigating similarity. Students also study Measurement and Geometry and are introduced to Pythagoras’ Theorem and its application in problem solving.
Statistics and Probability and Data Representation are linked when students collect data from secondary sources to investigate an issue and construct histograms and back-to-back stem-and-leaf plots. They will also make sense of the position of the mean and median in skewed, symmetric and bi-modal displays to describe and interpret data. Students will also build on knowledge developed earlier in the year and apply similarity to problem solving with Trigonometry. They extend their knowledge of Pythagoras and linear graphing, along with applying distance formula, finding the gradient and midpoint of a line segment and developing reasoning to sketch linear and non-linear relations to solve expressions involving binomials.