Unit 7: Advanced Operations
Students will observe and discover patterns and relationships to help them master new and powerful operations including: the order of operations, variables, exponents, radicals, scientific notations and factorials. This unit will focus on challenging your student’s ability to observe patterns and test hypotheses in these difficult operations and all their intricacies, becoming true masters of their own discovery and independently fluent in the Discovery Method.

Theorems Your Student Will Discover:
Order Of Operations
How to solve problems with multiple operations (no exponents)
Variables
How to find the value of an expression with variables
How to add and subtract with variables
How to solve single-step equations
How to solve multi-step equations
Exponents
Identity property of exponents
Multiplying with exponents
Dividing with exponents
Zero property of exponents
Negative property of exponents
How to solve problems with multiple operations, including exponents
Scientific Notation
How to write a number in scientific notation given its standard form
How to write a number in standard form given its scientific notation
Factorials
How to calculate a factorial
How to divide with factorials
Definitions:
Variable
Term
Like Terms
Exponent or Power
Base
Squared
Cubed
Scientific Notation
Factorial
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