Number and Algebra | eTAP Lesson |
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Money and financial mathematics | |
Connect the compound interest formula to repeated applications of simple interest using appropriate digital technologies
ACMNA229 |
Interest Rate and Loan Length |
Patterns and algebra | |
Factorise algebraic expressions by taking out a common algebraic factor
ACMNA230 |
Factors and Greatest Common Factors (GCF) |
Simplify algebraic products and quotients using index laws
ACMNA231 |
Simplifying Rational Expressions |
Apply the four operations to simple algebraic fractions with numerical denominators
ACMNA232 |
Solving Equations Using Several Operations |
Expand binomial products and factorise monic quadratic expressions using a variety of strategies
ACMNA233 |
Factoring Trinomials |
Substitute values into formulas to determine an unknown
ACMNA234 |
Graphing Systems of Inequalities |
Linear and non-linear relationships | |
Solve problems involving linear equations, including those derived from formulas
ACMNA235 |
Graphing Systems of Equations |
Solve linear inequalities and graph their solutions on a number line
ACMNA236 |
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Solve linear simultaneous equations, using algebraic and graphical techniques, including using digital technology
ACMNA237 |
Simultaneous Equations Slope Intercept Form of Equations |
Solve problems involving parallel and perpendicular lines
ACMNA238 |
Slope of a Line |
Explore the connection between algebraic and graphical representations of relations such as simple quadratics, circles and exponentials using digital technology as appropriate
ACMNA239 |
Simple Quadratic Functions |
Solve linear equations involving simple algebraic fractions
ACMNA240 |
Linear Parametric equations |
Solve simple quadratic equations using a range of strategies
ACMNA241 |
Factoring Quadratics |
Geometry and Measurement | eTAP Lesson |
Using units of measurement | |
Solve problems involving surface area and volume for a range of prisms, cylinders and composite solids
ACMMG242 |
Cylinders Polyhedrons, Prisms and Pyramids |
Geometric reasoning | |
Formulate proofs involving congruent triangles and angle properties
ACMMG243 |
SSS and SAS Congruencies |
Apply logical reasoning, including the use of congruence and similarity, to proofs and numerical exercises involving plane shapes
ACMMG244 |
ASA Congruencies AAS and HL Congruencies |
Pythagoras and trigonometry | |
Solve right-angled triangle problems including those involving direction and angles of elevation and depression
ACMMG245 |
The Theorem of Pythagoras |
Statistics and Probability | eTAP Lesson |
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 |
Probability of Events |
Use the language of ‘if ....then, ‘given’, ‘of’, ‘knowing that’ to investigate conditional statements and identify common mistakes in interpreting such language
ACMSP247 |
Conditional Probability |
Data representation and interpretation | |
Determine quartiles and interquartile range
ACMSP248 |
Boxplot, Interquartile Range, and Midhinge |
Construct and interpret box plots and use them to compare data sets
ACMSP249 |
Probability Data Plots |
Compare shapes of box plots to corresponding histograms and dot plots
ACMSP250 |
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Use scatter plots to investigate and comment on relationships between two numerical variables
ACMSP251 |
Paired Data Sets and Scatterplots |
Investigate and describe bivariate numerical data where the independent variable is time
ACMSP252 |
Correlations |
Evaluate statistical reports in the media and other places by linking claims to displays, statistics and representative data
ACMSP253 |
Seeking Trends with Line Graphs |