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Mathematics 7-12 Flashcards

6 cards from real TExES Exam practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Mathematics 7-12 flashcards as text

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

    Answer: Have students rearrange sectors of a circle to approximate a parallelogram

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

  2. Which number is irrational?

    Answer: √2

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

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

    Answer: Independent events

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

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

    Answer: Distributive property

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

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

    Answer: 180°

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

  6. Which instructional approach allows students to explore multiple solution strategies before the teacher formalizes a concept?

    Answer: Problem-based learning

    Problem-based learning engages students in solving open-ended problems first, allowing diverse strategies before the teacher consolidates learning.