1. A: Math explains the logic of and relationship between numbers. It is imperative students understand one concept before moving on to the next. If they fail to grasp the basics, students become confused as they progress to higher levels because they are unable to apply applicable background knowledge when introduced to geometry, algebra, probability and statistics.
2. C: A ratio is the relationship between two quantities expressed as the result (quotient) of one divided by the other.
3. D: Equivalence and balance are critical concepts in understanding algebraic equations. The equal sign represents some type of relationship between the numbers and symbols on each side of the sign; if a calculation is performed on one side, the same calculation must be performed on the other side. Each side is equal and they must balance.
4. D: Descriptive statistics defines and explains the basic components in a study. Exploratory statistics tries to figure out what the collected data is saying. Confirmatory statistics applies general ideas and concepts to an issue or a problem in an effort to answer specific questions.
5. B: Students must understand what a number means, in what ways it can and cannot be used and its relationship to other numbers. They need to be able to depict numbers concretely, pictorially and symbolically and understand the basic definitions of number concepts.