Subject Description

Students are invited to participate in this course depending upon past academic results and a willingness to complete General Mathematics A simultaneously in Year 10.

Students are challenged with difficult problems that are not always tackled in the Mainstream Course and are given the opportunity to compete in Mathematical competitions.

Students need to purchase the CAS calculator, Casio Classpad 330 as this technology is integrated into the course.

Students who pass with a minimum of 60% in this subject may elect to enroll in Mathematical Methods in Year 11.

**Areas of Study**

Number | Rational and Irrational Numbers Geometric and Arithmetric Progressions |

Measurement, Chance and Data | Perimeter, Area, Surface Area, Volume and Capacity Trigonometry Probability |

Structure | Algebra Quadratic Equations Quadratic Graphs Linear Equations Linear Graphs |

Space | Circle Geometry Trigonometry |

Working Mathematically | Application Tasks, Problem Solving Tasks and Investigations Use of Technology |

Level 10 Achievement Standard

By the end of Level 10, students recognise the connection between simple and compound interest. They solve problems involving linear equations and inequalities. They make the connections between algebraic and graphical representations of relations. Students solve surface area and volume problems relating to composite solids. They recognise the relationships between parallel and perpendicular lines. Students apply deductive reasoning to proofs and numerical exercises involving plane shapes. They compare data sets by referring to the shapes of the various data displays. They describe bivariate data where the independent variable is time. Students describe statistical relationships between two continuous variables. They evaluate statistical reports.

Students expand binomial expressions and factorise monic quadratic expressions. They find unknown values after substitution into formulas. They perform the four operations with simple algebraic fractions. Students solve simple quadratic equations and pairs of simultaneous equations. They use triangle and angle properties to prove congruence and similarity. Students use trigonometry to calculate unknown angles in right-angled triangles. Students list outcomes for multistep chance experiments and assign probabilities for these experiments. They calculate quartiles and interquartile ranges.

By the end of Level 10, students recognise the connection between simple and compound interest. They solve problems involving linear equations and inequalities. They make the connections between algebraic and graphical representations of relations. Students solve surface area and volume problems relating to composite solids. They recognise the relationships between parallel and perpendicular lines. Students apply deductive reasoning to proofs and numerical exercises involving plane shapes. They compare data sets by referring to the shapes of the various data displays. They describe bivariate datawhere the independent variable is time. Students describe statistical relationships between two continuous variables. They evaluate statistical reports.Students expand binomial expressions and factorise monic quadratic expressions. They find unknown values after substitution into formulas. They perform the four operations with simple algebraic fractions. Students solve simple quadratic equations and pairs of simultaneous equations. They use triangle and angle properties to prove congruence and similarity. Students use trigonometry to calculate unknown angles in right-angledtriangles. Students list outcomes for multistep chance experiments and assign probabilities for these experiments. They calculate quartiles and interquartileranges.

Assessment

Tests

Application Tasks

Semester Examination