Evaluate patterns of numbers through an engaging task. Scholars work collaboratively to determine a general rule reflecting the sum of consecutive positive integers. Multiple patterns emerge as learners explore different arrangements.

Don't think negatively about exponents. Young mathematicians dissect a fictional conversation between pupils trying to evaluate an expression with a negative exponent. This allows them to understand the meaning of negative exponents.

Purplemath gives both a formal and informal discussion of log rules with exercises. Examples include expanding, simplifying, and evaluating logarithms. Changing the base of a logarithm is also discussed with examples.

The Product of a Power and Power to a Power laws of exponents are introduced. Examples are included to demonstrate how to simply expressions with these laws.