Government Standards



Australian Curriculum

    Math - Grade 10

    Assessment Exam - Australian Curriculum - Level 10A Mathematics
    Number and Algebra eTAP Lesson
    Real numbers
    Define rational and irrational numbers and perform operations with surds and fractional indices
    ACMNA264
     
    Use the definition of a logarithm to establish and apply the laws of logarithms
    ACMNA265
     
    Patterns and algebra
    Investigate the concept of a polynomial and apply the factor and remainder theorems to solve problems
    ACMNA266
     
    Linear and non-linear relationships
    Solve simple exponential equations
    ACMNA270
     
    Describe, interpret and sketch parabolas, hyperbolas, circles and exponential functions and their transformations
    ACMNA267
     
    Apply understanding of polynomials to sketch a range of curves and describe the features of these curves from their equation
    ACMNA268
     
    Factorise monic and non-monic quadratic expressions and solve a wide range of quadratic equations derived from a variety of contexts
    ACMNA269
     
    Measurement and Geometry eTAP Lesson
    Using units of measurement
    Solve problems involving surface area and volume of right pyramids, right cones, spheres and related composite solids
    ACMMG271
     
    Geometric reasoning
    Prove and apply angle and chord properties of circles
    ACMMG272
     
    Pythagoras and trigonometry
    Establish the sine, cosine and area rules for any triangle and solve related problems
    ACMMG273
     
    Use the unit circle to define trigonometric functions, and graph them with and without the use of digital technologies
    ACMMG274
     
    Solve simple trigonometric equations
    ACMMG275
     
    Apply Pythagoras’ Theorem and trigonometry to solving three-dimensional problems in right-angled triangles
    ACMMG276
     
    Statistics and Probability eTAP Lesson
    Chance
    Investigate reports of studies in digital media and elsewhere for information on their planning and implementation
    ACMSP277
     
    Data representation and interpretation
    Calculate and interpret the mean and standard deviation of data and use these to compare data sets
    ACMSP278
     
    Use information technologies to investigate bivariate numerical data sets. Where appropriate use a straight line to describe the relationship allowing for variation
    ACMSP279
     

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