Grade 10 Maths has two streams. Core and Extension. Extension is designed to prepare students for Methods maths in the senior years.
Grade 10 Core Maths
Number and Algebra
Money and financial mathematics
Connect the compound interest formula to repeated applications of simple interest using appropriate digital technologies (ACMNA229 – Scootle )
Patterns and algebra
Factorise algebraic expressions by taking out a common algebraic factor (ACMNA230 – Scootle )
Simplify algebraic products and quotients using index laws (ACMNA231 – Scootle )
Apply the four operations to simple algebraic fractions with numerical denominators (ACMNA232 – Scootle )
Expand binomial products and factorise monic quadratic expressions using a variety of strategies (ACMNA233 – Scootle )
Substitute values into formulas to determine an unknown (ACMNA234 – Scootle )
Linear and non-linear relationships
Solve problems involving linear equations, including those derived from formulas (ACMNA235 – Scootle )
Solve linear inequalities and graph their solutions on a number line (ACMNA236 – Scootle )
Solve linear simultaneous equations, using algebraic and graphical techniques, including using digital technology (ACMNA237 – Scootle )
Solve problems involving parallel and perpendicular lines (ACMNA238 – Scootle )
Explore the connection between algebraic and graphical representations of relations such as simple quadratics, circles and exponentials using digital technology as appropriate (ACMNA239 – Scootle )
Solve linear equations involving simple algebraic fractions (ACMNA240 – Scootle )
Solve simple quadratic equations using a range of strategies (ACMNA241 – Scootle )
Measurement and Geometry
Using units of measurement
Solve problems involving surface area and volume for a range of prisms, cylinders and composite solids (ACMMG242 – Scootle )
Geometric reasoning
Formulate proofs involving congruent triangles and angle properties (ACMMG243 – Scootle )
Apply logical reasoning, including the use of congruence and similarity, to proofs and numerical exercises involving plane shapes (ACMMG244 – Scootle )
Pythagoras and trigonometry
Solve right-angled triangle problems including those involving direction and angles of elevation and depression (ACMMG245 – Scootle )
Statistics and Probability
Chance
Describe the results of two- and three-step chance experiments, both with and without replacements, assign probabilities to outcomes and determine probabilities of events. Investigate the concept of independence (ACMSP246 – Scootle )
Use the language of ‘if ….then, ‘given’, ‘of’, ‘knowing that’ to investigate conditional statements and identify common mistakes in interpreting such language (ACMSP247 – Scootle )
Data representation and interpretation
Determine quartiles and interquartile range (ACMSP248 – Scootle )
Construct and interpret box plots and use them to compare data sets (ACMSP249 – Scootle )
Compare shapes of box plots to corresponding histograms and dot plots (ACMSP250 – Scootle )
Use scatter plots to investigate and comment on relationships between two numerical variables (ACMSP251 – Scootle )
Investigate and describe bivariate numerical data where the independent variable is time (ACMSP252 – Scootle )
Evaluate statistical reports in the media and other places by linking claims to displays, statistics and representative data (ACMSP253 – Scootle)
Year 10 Extension Maths
Number and Algebra
Real numbers
Define rational and irrational numbers and perform operations with surds and fractional indices (ACMNA264 – Scootle )
Use the definition of a logarithm to establish and apply the laws of logarithms (ACMNA265 – Scootle )
Patterns and algebra
Investigate the concept of a polynomial and apply the factor and remainder theorems to solve problems (ACMNA266 – Scootle )
Linear and non-linear relationships
Solve simple exponential equations (ACMNA270 – Scootle )
Describe, interpret and sketch parabolas, hyperbolas, circles and exponential functions and their transformations (ACMNA267 – Scootle )
Apply understanding of polynomials to sketch a range of curves and describe the features of these curves from their equation (ACMNA268 – Scootle )
Factorise monic and non-monic quadratic expressions and solve a wide range of quadratic equations derived from a variety of contexts (ACMNA269 – Scootle )
Measurement and Geometry
Using units of measurement
Solve problems involving surface area and volume of right pyramids, right cones, spheres and related composite solids (ACMMG271 – Scootle )
Geometric reasoning
Prove and apply angle and chord properties of circles (ACMMG272 – Scootle )
Pythagoras and trigonometry
Establish the sine, cosine and area rules for any triangle and solve related problems (ACMMG273 – Scootle )
Use the unit circle to define trigonometric functions, and graph them with and without the use of digital technologies (ACMMG274 – Scootle )
Solve simple trigonometric equations (ACMMG275 – Scootle )
Apply Pythagoras’ Theorem and trigonometry to solving three-dimensional problems in right-angled triangles (ACMMG276 – Scootle )
Statistics and Probability
Chance
Investigate reports of studies in digital media and elsewhere for information on their planning and implementation (ACMSP277 – Scootle )
Data representation and interpretation
Calculate and interpret the mean and standard deviation of data and use these to compare data sets (ACMSP278 – Scootle )
Use information technologies to investigate bivariate numerical data sets. Where appropriate use a straight line to describe the relationship allowing for variation (ACMSP279 – Scootle)