# Number Theory: Integers, Word Problems and Expressions

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Approximate Length:
3 weeks

Standards of Learning
7.2 ïƒ  The student will simplify expressions that contain rational numbers (whole numbers, fractions, and decimals) and positive exponents, using order of operations, mental mathematics, and appropriate tools.
7.3 ïƒ  The student will identify and apply the following properties of operations with real numbers:
a) the commutative and associative properties for addition and multiplication;
b) the distributive property;
c) the additive and multiplicative identity properties;
d) the additive and multiplicative inverse properties; and
e) the multiplicative property of zero.

7.5 ïƒ  The student will formulate rules for and solve practical problems involving basic operations (addition, subtraction, multiplication, and division) with integers.

Essential Understandings:
What properties do real numbers have?
How do I solve expressions?
Why do the properties of real numbers work?
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