Math Content Standard A: Content of
Math
Key Element 1. Numeration
A student who meets the content standard should understand
and use numeration, including numbers, number systems,
counting numbers, whole numbers, integers, fractions,
decimals, and percents, irrationals and complex numbers.
Numeration For All
- All mathematical reasoning requires a basic understanding
of numeracy, measurement tools, exact or estimated computations,
how the symbols relate to physical patterns, geometric
relationships, and the relative certainty of predictions
that we can make. These skills should be taught side
by side every year of school.
- Algebraic, geometric and statistical thinking require
application of the basic numeracy concepts. If students
understand how number systems work and what they represent
they will apply these basic understandings at every
level of mathematics. The content of all math courses
should reflect and build upon these connections.
- Numeracy concepts are applied at all levels of mathematical
education. Number sense consists of an ability to draw
connections between concrete objects and numerical representations
of objects and ideas concerning numbers. A clear understanding
between cardinal uses of numbers and ordinal uses of
numbers allows students to anticipate what more complex
numbers are meant to represent. Properties of numbers
and operations can be extended and converted from concrete
objects to numbers to symbolic representations. Students
can create number theory from experimental data and
can apply number theory to pattern-prediction activities.
Big Ideas in Numeracy
Uses of numbers
- Equivalence between numbers, objects and other representations;
sense of magnitude, relative magnitudes
- Place value concepts
- Whole numbers, decimals, fractions, integers, rationals,
irrationals, exponents, roots, ratios, percents
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