In this Australian Curriculum Mathematics course students will solve problems involving the comparison, addition and subtraction of integers in the Number strand. They will also learn to solve problems involving percentages and all four operations with fractions and decimals. In the Measurement and Geometry strand students will classify triangles and quadrilaterals and describe different views of three-dimensional objects. They will represent transformations in the Cartesian plane, and assign ordered pairs to given points on the Cartesian plane. In the Probability and Statistics strand, students will determine the sample space for simple experiments with equally likely outcomes and assign probabilities to those outcomes.
In the Australian Curriculum Mathematics course, students will learn to use mathematical modelling to solve practical problems involving rational numbers, percentages, and ratios, in financial and other applied contexts, justifying choices of representation. Students will create tables of values related to algebraic expressions and formulas and describe the effect of variation. They will apply the knowledge of angle relationships and the sum of the angles in a triangle to solve problems, giving reasons. In Measurement and Geometry students will classify polygons according to their features and create an algorithm designed to sort and classify shapes. Students will use coordinates to describe transformations of points in the plane and, they will solve problems involving addition and subtraction of integers. They will decide which measure of central tendency is most suitable and explain their reasoning. Students interpret data in terms of the shape of distribution and summary statistics, identifying possible outliers. They plan and conduct statistical investigations involving discrete and continuous numerical data, using appropriate displays. Students will describe the relationships between the radius, diameter, and circumference of a circle.
Students will increase their understandings in all strands of maths – number and algebra, geometry and measurement and chance. In Number and Algebra students will consolidate their understanding and skills in operating with integers, apply the concept of percentages to real life situations in financial contexts and use rates and ratios to solve problems. Students will also consolidate their understandings of the units of time and identify various time zones within Australia and around the world. Students will compare the features of linear and non-linear equations and plot these on Cartesian Planes. In Probability they will learn how to represent data in Venn diagrams and two way tables, as well as consider complementary events in probability. In Measurement the concepts of perimeter and area in simple and more complex shapes including parallelograms, kites, trapezia and circles will be studied.
In this Australian Curriculum Mathematics course students will increase their understandings in all strands of Mathematics – Financial Modelling, Congruency, Triangles and Powers, and Probability. In Number students will apply the concept of percentages to real life situations in financial contexts and use rates to solve problems. Students use mathematical modelling to solve practical problems involving percentages and rates in financial contexts. They graph linear relations and solve linear equations with rational solutions and one-variable inequalities, graphically and algebraically. They make and test conjectures involving linear relations using digital tools. Students use mathematical modelling to solve problems using linear relations, interpreting, and reviewing the model in context. They identify conditions for congruency and similarity in shapes and create and test algorithms designed to test for congruency and similarity.
Students will consolidate their understandings in all strands of maths – number and algebra, geometry and measurement and chance. In Number students will build on their understanding and skills in using index laws to simplify expressions using both numerals and variables and use scientific notation to represent very large and very small numbers. In Algebra they will apply the distributive law to the expansion of algebraic expressions. In Measurement and Geometry students will use Pythagoras’ Theorem to find the length of an unknown side in right angled triangles and apply this to a variety of real life situations. They will investigate problems involving proportion and solve problems using ratio and scale figures. Students will apply the four similarity tests to solve problems and investigate conditions of similarity in real life situations. In Chance they will calculate relative frequencies, determine the outcomes of two-step chance experiments using tree diagrams and arrays and organise data into Venn diagrams and two-way tables to solve problems.
In this Australian Curriculum Mathematics course students will increase their understandings in all strands of maths – number and algebra, measurement and geometry and statistics. In Number, students recognise and use rational and irrational numbers to solve problems. In Measurement and Geometry, students will use Pythagoras’ theorem to find the length of an unknown side in right angled triangles and apply this to a variety of real life situations. They will find the distance between two points on the Cartesian plane, and the gradient and midpoint of a line segment. Students will solve problems involving ratio, similarity and scale in two-dimensional situations. They will apply the enlargement transformation to images of shapes and objects and interpret results. Students will design, use and test algorithms based on geometric constructions or theorems. In Statistics, students will compare and analyse the distributions of multiple numerical data sets, choose representations, describe features of these data sets using summary statistics and the shape of distributions, and consider the effect of outliers. They will explain how sampling techniques and representation can be used to support or question conclusions or to promote a point of view.