Year 10Monitoring map— Numeracy

Year 10 Monitoring map — NumeracyQueensland Studies AuthoritySeptember 2018 | 1

In Year 10, students:
CE 10 / T1 / T2 / T3 / T4
Calculating and estimating / i. / Identify preferred mental and written strategies, select and use definitions, rules, representations and estimates, with or without technologies in calculations involving complex data and contexts. Explain the method/s
ii. / Interpret, clarify, and analyse themathematical featuresand conditions of a situation. Use a range of strategiessuch as using models, rules or formulas to solve problems. Explain possible solutions
iii. / Check the reasonableness of solutions and review assumptions and methods of working
iv. / Apply simple interest formula to calculate compound interest and solve related problems
v. / Create financial plans, analyse the impact of debt and identify strategies for debt management
PR 10
Recognising and using patterns and relationships / i. / Make predictions and solve algebraic problems involving:
  • simplifying using index laws
  • factorising using common algebraic factors
  • algebraic fractions with a common denominator
  • substituting values into formulas

ii. / Solve, with or without technologies, problems involving:
  • line of best fit
  • linear equations including simple algebraic fractions and those derived from formulas
  • linear inequalities, including graphing solutions on a number line
  • linear simultaneous solutions
  • simple quadratic equations

iii. / Use graphs and equations to analyse and illustrate relations involving:
  • parallel and perpendicular lines
  • simple quadratics
  • circles
  • exponentials

In Year 10, students:
FDPR 10 / T1 / T2 / T3 / T4
Using fractions, decimals, percentages,ratios and rates / i. / Use graphs and equations to analyse and illustrate proportional relationships
SR 10
Using spatial reasoning / i. / Use congruence, similarity and angle properties to solve problems involving plane shapes
ii. / Solve problems involving right-angled triangles, e.g. angles of elevation and depression, and direction
In Year 10, students:
SI 10 / T1 / T2 / T3 / T4
Interpreting and drawing conclusions from statistical information / i. / Use the language of probability, e.g. if … then, given, of, knowing that, to investigate conditional statements. Identify common mistakes in interpreting such language and describe the concept of independence
ii. / Describe the results of two- and three-step chance experiments, both with and without replacements, assign probabilities to outcomes and determine probabilities of events
iii. / Identify questions and issues involving a number of variables, and interpret data from secondary sources
iv. / Analyse techniques for collecting data, including census, sampling and observation, to evaluate the effectiveness of collection strategies and identify refinements
v. / Describe trends in:
  • numerical data where the independent variable is time
  • box plots to compare data sets
  • scatter plots to comment on relationships between two continuous variables
  • graphs and equations to illustrate proportional relationships
  • 5number summaries to numerically and visually compare the centre and spread of data sets

vi. / Evaluate statistical reports by linking claims to displays, statistics and representative data
M 10
Usingmeasurement / i. / Calculate the surface area and volume for spheres, a range of prisms and composite solids, e.g. pyramids, cones and cylinders
ii. / Use very small and large time scales and intervals to solve problems

Year 10 Monitoring map — NumeracyQueensland Studies AuthoritySeptember 2018 | 1