High School: Functions

Rational Function Features 2

Directions: Using the integers -9 to 9, at most one time each, fill in the boxes to create a rational function, its vertical asymptote, and the greatest possible solution. Source: Robert Kaplinsky

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Rational Function Features 1

Directions: Using the integers -9 to 9, at most one time each, fill in the boxes to create a rational function, its vertical asymptote, and its solution. Source: Robert Kaplinsky

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Arithmetic Sequences 2

Directions: Using the integers −9 to 9 at most one time each, place an integer in each box to create an arithmetic sequence so that the coefficient in the function that represents it is the greatest possible value. Source: Robert Kaplinsky

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Arithmetic Sequences 1

Directions: Using the integers −9 to 9 at most one time each, place an integer in each box to create an arithmetic sequence and a function that represents it. Source: Robert Kaplinsky

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Evaluating Trigonometric Functions 1

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to make five true number sentences. You may reuse all the digits for each number sentence. Source: Robert Kaplinsky in Open Middle Math

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Evaluating Trigonometric Functions 2

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box so that the function has the greatest possible value. Source: Robert Kaplinsky in Open Middle Math

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Quadratic In Vertex Form With Given Root And Maximum Value

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to create two different quadratic equations that have a root at 4 and a maximum value of 4. You may reuse all the digits for each equation. Source: Robert Kaplinsky in Open Middle Math

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Creating Sequences

Directions: Using the digits 1-9, at most one time each, complete the first three terms of the arithmetic and geometric sequences. What sequences result in the greatest sum of their second terms? (e.g. 3, 5, 7 and 2, 6, 18 would result in a sum of 5 + 6 = 11). What sequences result in the least sum of their …

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What’s Your Sine?

Directions: Use the digits 1 through 9, at most one time each, to fill in the boxes and make THREE true number sentences: Source: Zack Miller

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Discriminant

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to make one function have no real roots, another function have one real root, and the last function have two real roots. Source: Lynda Chung

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