Government Standards



Australian Curriculum

    Math - Grade 10

    Assessment Exam - Australian Curriculum - Level 10 Mathematics
    Number and Algebra eTAP Lesson
    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
     
    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
     
    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

eTAP
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