Mr. Ward's Teaching Materials

Year 8 Content Descriptors

4 min read

Year 8 Content Descriptors

Algebra

Fluency

  • create, expand, factorise, rearrange and simplify linear expressions, applying the associative, commutative, identity, distributive and inverse properties [[AC9M8A01
  • graph linear relations on the Cartesian plane using digital tools where appropriate; solve linear equations and one-variable inequalities using graphical and algebraic techniques; verify solutions by substitution AC9M8A02

Problem-solving

  • mathematical modelling to solve applied problems involving linear relations, including financial contexts; formulate problems with linear functions, choosing a representation; interpret and communicate solutions in terms of the situation, reviewing the appropriateness of the model AC9M8A03

Reasoning

  • graph linear relations on the Cartesian plane using digital tools where appropriate; solve linear equations and one-variable inequalities using graphical and algebraic techniques; verify solutions by substitution AC9M8A02

Measurement

Fluency

  • solve problems involving duration, including using 12- and 24-hour time across multiple time zones AC9M8M04
  • solve problems involving the area and perimeter of irregular and composite shapes using appropriate units AC9M8M01
  • solve problems involving the circumference and area of a circle using formulas and appropriate units AC9M8M03
  • solve problems involving the volume and capacity of right prisms using appropriate units AC9M8M02
  • use Pythagoras’ theorem to solve problems involving the side lengths of right-angled triangles AC9M8M06
  • use the 4 operations with integers and with rational numbers, choosing and using efficient strategies and digital tools where appropriate AC9M8N04

Problem-solving

  • recognise and use rates to solve problems involving the comparison of 2 related quantities of different units of measure AC9M8M05
  • use mathematical modelling to solve practical problems involving ratios and rates, including financial contexts; formulate problems; interpret and communicate solutions in terms of the situation, reviewing the appropriateness of the model AC9M8M07

Reasoning

  • experiment with linear functions and relations using digital tools, making and testing conjectures and generalising emerging patterns AC9M8A04

Understanding

  • solve problems involving the circumference and area of a circle using formulas and appropriate units AC9M8M03

Number

Fluency

  • establish and apply the exponent laws with positive integer exponents and the zero-exponent, using exponent notation with numbers AC9M8N02
  • use mathematical modelling to solve practical problems involving rational numbers and percentages, including financial contexts; formulate problems, choosing efficient calculation strategies and using digital tools where appropriate; interpret and communicate solutions in terms of the situation, reviewing the appropriateness of the model AC9M8N05
  • use the 4 operations with integers and with rational numbers, choosing and using efficient strategies and digital tools where appropriate AC9M8N04

Understanding

  • recognise irrational numbers in applied contexts, including square roots and π AC9M8N01
  • recognise terminating and recurring decimals, using digital tools as appropriate AC9M8N03

Probability

Fluency

  • determine all possible combinations for 2 events, using two way tables, tree diagrams and Venn diagrams, and use these to determine probabilities of specific outcomes in practical situations AC9M8P02
  • recognise that complementary events have a combined probability of one; use this relationship to calculate probabilities in applied contexts AC9M8P01

Problem-solving

  • conduct repeated chance experiments and simulations, using digital tools to determine probabilities for compound events, and describe results AC9M8P03

Understanding

  • recognise that complementary events have a combined probability of one; use this relationship to calculate probabilities in applied contexts AC9M8P01

Space

Fluency

  • describe the position and location of objects in 3 dimensions in different ways, including using a three dimensional coordinate system with the use of dynamic geometric software and other digital tools AC9M8SP03
  • establish properties of quadrilaterals using congruent triangles and angle properties, and solve related problems explaining reasoning AC9M8SP02

Problem-solving

  • design, create and test algorithms involving a sequence of steps and decisions that identify congruency or similarity of shapes, and describe how the algorithm works AC9M8SP04

Understanding

  • identify the conditions for congruence and similarity of triangles and explain the conditions for other sets of common shapes to be congruent or similar, including those formed by transformations AC9M8SP01

Statistics

Problem-solving

  • plan and conduct statistical investigations involving samples of a population; use ethical and fair methods to make inferences about the population and report findings, acknowledging uncertainty AC9M8ST04

Reasoning

  • analyse and report on the distribution of data from primary and secondary sources using random and non-random sampling techniques to select and study samples AC9M8ST02
  • compare variations in distributions and proportions obtained from random samples of the same size drawn from a population and recognise the effect of sample size on this variation AC9M8ST03
  • investigate techniques for data collection including census, sampling, experiment and observation, and explain the practicalities and implications of obtaining data through these techniques AC9M8ST01

Graph View