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Relationships within and among geometrical objects in two and three dimensions
: Static
relationships such as algebraic connections among elements of figures (e.g. the
Pythagorean theorem as defining the relationship between the lengths of the sides of a
right triangle), relative
position, similarity and congruence, and dynamic relationships
involving transformation and motion of objects, as well as correspondences between two-
and three-dimensional objects.
Measurement
: Quantification of features of and among shapes and objects, such as angle
measures, distance, length, perimeter, circumference, area and volume.
Numbers and units
: Concepts, representations of numbers and number systems (including
converting between number systems), including properties of integer and rational numbers,
as well as quantities and units referring
to phenomena such as time, money, weight,
temperature, distance, area and volume, and derived quantities and their numerical
description.
Arithmetic operations
: The nature and properties of these operations and related notational
conventions.
Percents, ratios and proportions
: Numerical description of relative magnitude and the
application of proportions and proportional reasoning to solve problems.
Counting principles
: Simple combinations.
Estimation
: Purpose-driven approximation of quantities and numerical expressions,
including significant digits and rounding.
Data collection, representation and interpretation
: Nature, genesis and
collection of various
types of data, and the different ways to analyse, represent and interpret them.
Data variability and its description
: Concepts such as variability, distribution and central
tendency of data sets, and ways to describe and interpret these in quantitative and
graphical terms.
Samples and sampling
: Concepts of sampling and
sampling from data populations,
including simple inferences based on properties of samples including accuracy and
precision.
Chance and probability
: Notion of random events, random variation and its representation,
chance and frequency of events, and basic aspects of the concept of probability and
conditional probability.
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