Download Year 10 Monitoring map * Numeracy

Year 10 Monitoring map — Numeracy
ii.
Interpret, clarify, and analyse the
mathematical features and conditions of a
situation. Use a range of strategies such 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
i.
Use graphs and equations to analyse and
illustrate proportional relationships
SR 10
v.
Create financial plans, analyse the impact of
debt and identify strategies for debt
management
i.
Use congruence, similarity and angle
properties to solve problems involving plane
shapes
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
Using spatial reasoning
Recognising and using patterns and relationships
PR 10
ii.
Solve problems involving right-angled
triangles, e.g. angles of elevation and
depression, and direction
i.
Interpreting and drawing conclusions from statistical information
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
T1 T2 T3 T4
In Year 10, students:
SI 10
ii.
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
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
 5 number 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
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
M 10
Using measurement
i.
T1 T2 T3 T4
In Year 10, students:
FDPR 10
Using fractions, decimals, percentages,
ratios and rates
Calculating and estimating
In Year 10, students:
CE 10
T1 T2 T3 T4