The effect of using approximations of real numbers in repeated...
recognise the effect of using approximations of real numbers in repeated calculations and compare the results when using exact representations
Year 10 Maths
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recognise the effect of using approximations of real numbers in repeated calculations and compare the results when using exact representations
expand, factorise and simplify expressions and solve equations algebraically, applying exponent laws involving products, quotients and powers of variables, and the distributive property
solve linear inequalities and simultaneous linear equations in 2 variables; interpret solutions graphically and communicate solutions in terms of the situation
recognise the connection between algebraic and graphical representations of exponential relations and solve related exponential equations, using digital tools where appropriate
use mathematical modelling to solve applied problems involving growth and decay, including financial contexts; formulate problems, choosing to apply linear, quadratic or exponential models; interpret solutions in terms of the situation; evaluate and modify models as necessary and report assumptions, methods and findings
experiment with functions and relations using digital tools, making and testing conjectures and generalising emerging patterns
solve problems involving the surface area and volume of composite objects using appropriate units
interpret and use logarithmic scales in applied contexts involving small and large quantities and change
solve practical problems applying Pythagoras’ theorem and trigonometry of right-angled triangles, including problems involving direction and angles of elevation and depression
identify the impact of measurement errors on the accuracy of results in practical contexts
use mathematical modelling to solve practical problems involving proportion and scaling of objects; formulate problems and interpret solutions in terms of the situation; evaluate and modify models as necessary, and report assumptions, methods and findings
apply deductive reasoning to proofs involving shapes in the plane and use theorems to solve spatial problems
interpret networks and network diagrams used to represent relationships in practical situations and describe connectedness
design, test and refine solutions to spatial problems using algorithms and digital tools; communicate and justify solutions
analyse claims, inferences and conclusions of statistical reports in the media, including ethical considerations and identification of potential sources of bias
compare data distributions for continuous numerical variables using appropriate data displays including boxplots; discuss the shapes of these distributions in terms of centre, spread, shape and outliers in the context of the data
construct scatterplots and comment on the association between the 2 numerical variables in terms of strength, direction and linearity
construct two-way tables and discuss possible relationship between categorical variables
plan and conduct statistical investigations of situations that involve bivariate data; evaluate and report findings with consideration of limitations of any inferences
use the language of “if ... then”, “given”, “of”, “knowing that” to describe and interpret situations involving conditional probability
design and conduct repeated chance experiments and simulations using digital tools to model conditional probability and interpret results