AEPA Mathematics 2

Question 1

Which measure of central tendency is most affected by extreme outliers in a data set?

Accepted Answer

Mean

Answer

The mean incorporates all values in its calculation, so a single extreme value can significantly shift it.

Question 2

A student says '1/2 is bigger than 1/3 because 2 is bigger than 3.' How should the teacher respond?

Accepted Answer

Use fraction strips to show that larger denominators mean smaller equal parts

Answer

Fraction strips provide a concrete visual that larger denominators create smaller parts, addressing the common misconception.

Question 3

Which formula correctly calculates the area of a trapezoid?

Accepted Answer

A = ½(b₁ + b₂) × h

Answer

The area of a trapezoid is the average of the two parallel bases multiplied by the height.

Question 4

Which Arizona state standard domain focuses on ratios and proportional relationships for Grade 6 mathematics?

Accepted Answer

Ratios and Proportional Relationships

Answer

The Ratios and Proportional Relationships domain is introduced in Grade 6 per Arizona Mathematics Standards.

Question 5

What is the primary purpose of using manipulatives such as base-ten blocks in mathematics instruction?

Accepted Answer

To provide kinesthetic and visual concrete models before moving to abstract concepts

Answer

Manipulatives support the concrete-representational-abstract progression, building conceptual understanding before symbolic notation.

AEPA - Arizona Educator Proficiency Assessments Practice Test