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# NUMBER & QUANTITY

Growing IQ focuses on the real number system, comprised of nearly any number that you can think of.  They include whole, rational, and irrational numbers.  Research has shown that number sense develops gradually, meaning that students require a variety of opportunities to explore numbers, visualize them in varying contexts, and relate numbers in a multitude of ways.

## COUNTING

The counting sequence is foundational in mathematics and is connected to the development of the conceptual understandings of quantity, place-value, and arithmetic operations.

## PLACE-VALUE

Place-value is essential to understanding the meaning of numbers.  It provides the foundation for regrouping, arithmetic, algebra, inequalities, scientific notation, and developing number facility.

## INTEGERS

Integers are whole numbers that can be positive, negative, or zero.  The introduction of negative numbers highlights the concept of opposites and balance.  Integer understandings are foundational to economics, statistical analysis, algebra, graphing, and more.

## INEQUALITY

Used to compare items and indicates limits, working with inequalities increases the ability to think critically about quantities and check assumptions.  Inequalities highlight that there can be a range of possibilities in mathematics, not always a single correct answer.

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