Government Standards

Australian Curriculum

Math - Grade 8

Assessment Exam - Australian Curriculum - Level 8 Mathematics

Number and Algebra	eTAP Lesson
Number and place value
Use index notation with numbers to establish the index laws with positive integral indices and the zero index ACMNA182
Carry out the four operations with rational numbers and integers, using efficient mental and written strategies and appropriate digital technologies ACMNA183	Rational & Irrational Numbers
Real numbers
Investigate terminating and recurring decimals ACMNA184	Operations with Decimals
Investigate the concept of irrational numbers, including π ACMNA186	Real Numbers
Solve problems involving the use of percentages, including percentage increases and decreases, with and without digital technologies ACMNA187	Investment Growth Over Time
Solve a range of problems involving rates and ratios, with and without digital technologies ACMNA188	Interest Rate and Loan Length
Money and financial mathematics
Solve problems involving profit and loss, with and without digital technologies ACMNA189	What are Statistics?
Patterns and algebra
Extend and apply the distributive law to the expansion of algebraic expressions ACMNA190	Factoring Trinomials
Factorise algebraic expressions by identifying numerical factors ACMNA191
Simplify algebraic expressions involving the four operations ACMNA192	Simplifying Rational Expressions
Linear and non-linear relationships
Plot linear relationships on the Cartesian plane with and without the use of digital technologies ACMNA193	Coordinate Axes and Negative Numbers
Solve linear equations using algebraic and graphical techniques. Verify solutions by substitution ACMNA194	Why Do We Need Two Equations?
Measurement and Geometry	eTAP Lesson
Using units of measurement
Choose appropriate units of measurement for area and volume and convert from one unit to another ACMMG195	Triangle Areas Rectangular Prism Volume
Find perimeters and areas of parallelograms, trapeziums, rhombuses and kites ACMMG196	Kites and Trapezoids
Investigate the relationship between features of circles such as circumference, area, radius and diameter. Use formulas to solve problems involving circumference and area ACMMG197	Definition - Circles
Develop formulas for volumes of rectangular and triangular prisms and prisms in general. Use formulas to solve problems involving volume (ACMMG198 - Scootle ) ACMMG198	Polyhedrons, Prisms and Pyramids
Solve problems involving duration, including using 12- and 24-hour time within a single time zone ACMMG199
Geometric reasoning
Define congruence of plane shapes using transformations ACMMG200	Transformations
Develop the conditions for congruence of triangles ACMMG201	AAS and HL Congruencies
Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related numerical problems using reasoning ACMMG202	SSS and SAS Congruencies
Statistics and Probability	eTAP Lesson
Chance
Identify complementary events and use the sum of probabilities to solve problems ACMSP204	What are Statistics?
Describe events using language of 'at least', exclusive 'or' (A or B but not both), inclusive 'or' (A or B or both) and 'and'. ACMSP205
Represent events in two-way tables and Venn diagrams and solve related problems ACMSP292	Showing the Overlap with Venn Diagrams
Data representation and interpretation
Investigate techniques for collecting data, including census, sampling and observation ACMSP284	Methods of Collecting, Representing, & Displaying Data
Explore the practicalities and implications of obtaining data through sampling using a variety of investigative processes ACMSP206
Explore the variation of means and proportions of random samples drawn from the same population ACMSP293	Variability
Investigate the effect of individual data values, including outliers, on the mean and median ACMSP207	Data Calculations