# Year 10 Curriculum

Connect the compound interest formula to repeated applications of simple interest using appropriate digital technologies.

(ACMNA230)

Factorise algebraic expressions by taking out a common algebraic factor.

(ACMNA231)

Simplify algebraic products and quotients using index laws.

(ACMNA232)

Apply the four operations to simple algebraic fractions with numerical denominators.

(ACMNA233)

Expand binomial products and factorise monic quadratic expressions using a variety of strategies.

(ACMNA234)

Substitute values into formulas to determine an unknown.

(ACMNA235)

Solve problems involving linear equations, including those derived from formulas.

(ACMNA236)

Solve linear inequalities and graph their solutions on a number line.

(ACMNA237)

Solve linear simultaneous equations, using algebraic and graphical techniques including using digital technology.

(ACMNA238)

Solve problems involving parallel and perpendicular lines.

(ACMNA239)

Explore the connection between algebraic and graphical representations of relations such as simple quadratics, circles and exponentials using digital technology as appropriate.

(ACMNA240)

Solve linear equations involving simple algebraic fractions.

(ACMNA241)

Solve simple quadratic equations using a range of strategies.

Solve problems involving surface area and volume for a range of prisms, cylinders and composite solids.

(ACMMG243)

Formulate proofs involving congruent triangles and angle properties.

(ACMMG244)

Apply logical reasoning, including the use of congruence and similarity, to proofs and numerical exercises involving plane shapes.

(ACMMG245)

Solve right-angled triangle problems including those involving direction and angles of elevation and depression.

Describe the results of two and threestep chance experiments, both with and without replacements, assign probabilities to outcomes and determine probabilities of events. Investigate the concept of independence.

(ACMSP247)

Use the language of ‘if ….then, ‘given’, ‘of’, ‘knowing that’ to investigate conditional statements and identify common mistakes in interpreting such language.

(ACMSP248)

Determine quartiles and inter-quartile range.

(ACMSP249)

Construct and interpret box plots and use them to compare data sets.

(ACMSP250)

Compare shapes of box plots to corresponding histograms and dot plots.

(ACMSP251)

Use scatter plots to investigate and comment on relationships between two numerical variables.

(ACMSP252)

Investigate and describe bivariate numerical data where the independent variable is time.

(ACMSP253)

Evaluate statistical reports in the media and other places by linking claims to displays, statistics and representative data.

**End of year 10 achievement standard**

Number and Algebra

Students recognise the connection between simple and compound interest. They solve problems involving linear equations and inequalities, quadratic equations and pairs of simultaneous linear equations and related graphs, with and without the use of digital technology. Students substitute into formulas, find unknown values, manipulate linear algebraic expressions, expand binomial expressions and factorise monic and simple nonmonic quadratic expressions, with and without the use of digital technology. They represent linear, quadratic and exponential functions numerically, graphically and algebraically, and use them to model situations and solve practical problems.

Measurement and Geometry

Students solve and explain surface area and volume problems relating to composite solids. They use parallel and perpendicular lines, angle and triangle properties, similarity, trigonometry and congruence to solve practical problems and develop proofs involving lengths, angles and areas in plane shapes. They use digital technology to construct and manipulate geometric shapes and objects, and explore symmetry and pattern in two dimensions.

Statistics and Probability

Students compare univariate data sets by referring to summary statistics and the shape of their displays. They describe bivariate data where the independent variable is time and use scatterplots generated by digital technology to investigate relationships between two continuous variables. Students evaluate the use of statistics in the media. They list outcomes for multistep chance experiments involving independent and dependent events, and assign probabilities for these experiments.

**Extracted from http://www.education.vic.gov.au/school/teachers/support/Pages/ausvels.aspx referencing the Victorian Essential Learning Standards within the Australian Curriculum.*