Grade 11 · Math · Algebra 2

11th grade Model a repeating situation with a trig function worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Model a repeating situation with a trig function

Grade 11 Math Worksheet - Building Confidence

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Circle the best answer, or write your answer on the line.

t (hours after midnight) = 0, 3, 6, 9, 12; h (feet) = 9, 5, 1, 5, 9. Milo records the tide at a harbor. By how many feet does the water rise above its middle level?
t (minutes) = 0, 2, 4; h (meters) = 2, 32, 2. Pia watches one seat of a Ferris wheel from the ground. What is the midline height, in meters?
t (seconds) = 0, 1, 2; h (cm) = 3, 63, 3. Ren walks a bike and tracks the tire valve. What is the midline height, in cm?
t (minutes) = 1, 3, 5, 7, 9; h (meters) = 3, 18, 33, 18, 3. Ari watches one seat of a Ferris wheel from the ground. How many minutes does one turn take?
Bo's tide model is h = 3 sin(πt/6) + 4, with t in hours. What is h at t = 9, in feet?
Esme's classroom clock model is h = 15 cos(πt/30) + 150, with t in minutes. What is h at t = 30, in cm?
Jun's Ferris wheel seat model is h = -16 cos(πt/3) + 18, with t in minutes. What is h at t = 3, in meters?
Luz sees a Ferris wheel whose lowest seat is 4 m up and whose top seat is 36 m up. How high is the midline, in meters?
Milo walks a bike; the tire valve goes from 3 cm to 63 cm above the ground. What is the amplitude, in cm?
Pia sees a Ferris wheel whose lowest seat is 2 m up and whose top seat is 42 m up. What is the amplitude, in meters?

Model a repeating situation with a trig function. Every version has 10 questions, and the answer key prints on the second page.

I can read the amplitude, midline and period of a tide, wheel, swing or daylight table.
I can find a value from a model, and the time of the highest point.
I can choose the model that fits a story, and say what each number in it means.

Standard: F-TF.B.5

model: A rule that matches the rows of a real table.

midline: The middle height: the hub of a wheel, the middle water level.

amplitude: How far it goes above the middle: a wheel's radius.

period: The time for one full repeat: one turn, one tide cycle.

Your child used the whole distance from lowest to highest instead of half of it.

Your child gave the highest height instead of the height above the middle.

Your child gave how far it swings instead of the middle height.

Ask: how far is the top above the middle?

Ask: where is the middle, and how far above it is the top?

Ask: what height is halfway between the top and the bottom?

What is the most common mistake with model a repeating situation with a trig function?

Your child used the whole distance from lowest to highest instead of half of it.

How can I help my child with model a repeating situation with a trig function?

Ask: how far is the top above the middle?

Are these 11th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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