Irrational numbers in applied contexts, including square roots and π
recognise irrational numbers in applied contexts, including square roots and π
Year 8 Maths
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Elaborations are curriculum teaching examples. Coverage points show how many curriculum ideas guide the unit.
recognise irrational numbers in applied contexts, including square roots and π
establish and apply the exponent laws with positive integer exponents and the zero-exponent, using exponent notation with numbers
recognise terminating and recurring decimals, using digital tools as appropriate
use the 4 operations with integers and with rational numbers, choosing and using efficient strategies and digital tools where appropriate
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
create, expand, factorise, rearrange and simplify linear expressions, applying the associative, commutative, identity, distributive and inverse properties
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
use 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
experiment with linear functions and relations using digital tools, making and testing conjectures and generalising emerging patterns
solve problems involving the area and perimeter of irregular and composite shapes using appropriate units
solve problems involving the volume and capacity of right prisms using appropriate units
solve problems involving the circumference and area of a circle using formulas and appropriate units
solve problems involving duration, including using 12- and 24-hour time across multiple time zones
recognise and use rates to solve problems involving the comparison of 2 related quantities of different units of measure
use Pythagoras’ theorem to solve problems involving the side lengths of right-angled triangles
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
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
establish properties of quadrilaterals using congruent triangles and angle properties, and solve related problems explaining reasoning
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
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
investigate techniques for data collection including census, sampling, experiment and observation, and explain the practicalities and implications of obtaining data through these techniques
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
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
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
recognise that complementary events have a combined probability of one; use this relationship to calculate probabilities in applied contexts
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
conduct repeated chance experiments and simulations, using digital tools to determine probabilities for compound events, and describe results