TExES Exam Mathematics 7-12 3

Question 1

A high school teacher wants students to discover the formula for the area of a circle. Which approach BEST promotes conceptual understanding?

Accepted Answer

Have students rearrange sectors of a circle to approximate a parallelogram

Answer

Rearranging sectors to form a near-parallelogram is a discovery activity that builds conceptual understanding of why A = πr².

Question 2

Which number is irrational?

Accepted Answer

√2

Answer

√2 is irrational because it cannot be expressed as a ratio of two integers and its decimal expansion is non-terminating and non-repeating.

Question 3

In probability, which term describes events where the outcome of one does NOT affect the other?

Accepted Answer

Independent events

Answer

Independent events are those where the probability of one event occurring is not affected by whether the other event has occurred.

Question 4

Which property allows you to rewrite 3(x + 4) as 3x + 12?

Accepted Answer

Distributive property

Answer

The distributive property states that a(b + c) = ab + ac, allowing multiplication to be distributed over addition.

Question 5

A TExES Mathematics 7-12 candidate should know that the sum of interior angles of a triangle is:

Accepted Answer

180°

Answer

The interior angles of any triangle always sum to 180°, a fundamental theorem of Euclidean geometry.

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