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Pre-Calc & Trigonometry

11th-12th grade Pre-Calculus · Hard · 20-25 min

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About This Board

This board helps players review Math · Pre-Calculus through a Jeopardy-style game format on Kleveroo. It includes categories such as Functions, Unit Circle, Identities, Polynomials, Limits & Sequences. It is useful for classroom review, team trivia, family game night, test prep, and group play.

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Questions in this game

A peek at what's on the board — 5 categories and one sample clue from each. Answers stay hidden until you open them, so the game still works.

  • Functions

    f(x) = a^x defines this type of function.

    Show answer

    Exponential

    +4 more clues in this category

  • Unit Circle

    sin(0) equals this.

    Show answer

    0

    +4 more clues in this category

  • Identities

    sin²θ + cos²θ = ___.

    Show answer

    1

    +4 more clues in this category

  • Polynomials

    Highest exponent in a polynomial.

    Show answer

    Degree

    +4 more clues in this category

  • Limits & Sequences

    limit of (1 + 1/n)^n as n → ∞.

    Show answer

    e

    +4 more clues in this category

Board content

Functions

$100 — f(x) = a^x defines this type of function.
Exponential
$200 — Inverse of an exponential function.
Logarithm
$300 — A function where f(-x) = f(x).
Even function
$400 — A function where f(-x) = -f(x).
Odd function
$500 — The set of all outputs of a function.
Range

Unit Circle

$100 — sin(0) equals this.
0
$200 — cos(0) equals this.
1
$300 — sin(π/2) equals this.
1
$400 — cos(π) equals this.
-1
$500 — tan(π/4) equals this.
1

Identities

$100 — sin²θ + cos²θ = ___.
1
$200 — The identity 1 + tan²θ = ___.
sec²θ
$300 — sin(2θ) equals this.
2 sinθ cosθ
$400 — cos(2θ) using cos only.
2cos²θ − 1
$500 — tan θ = sin θ / ___.
cos θ

Polynomials

$100 — Highest exponent in a polynomial.
Degree
$200 — Maximum number of real roots of a degree-n polynomial.
n
$300 — Theorem: complex roots come in these.
Conjugate pairs
$400 — Process to find roots when factoring fails.
Quadratic formula / synthetic division
$500 — End behavior of an even-degree polynomial with positive lead.
Both ends go up

Limits & Sequences

$100 — limit of (1 + 1/n)^n as n → ∞.
e
$200 — A sequence with constant difference between terms.
Arithmetic
$300 — A sequence with constant ratio between terms.
Geometric
$400 — Sum of an infinite geometric series with |r| < 1, first term a.
a / (1 − r)
$500 — The limit of sin(x)/x as x → 0.
1

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