Math III · F-TF.5

Choose trig functions to model periodic phenomena using amplitude, frequency, and midline.

Choose trig functions to model periodic phenomena using amplitude, frequency, and midline.

Concept Functions
Domain Trigonometric Functions
Problem Types

Problem Templates In This Objective

14 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Find the amplitude of a sinusoid from its maximum and minimum values

4 variants
Template 2

Find the midline of a sinusoidal function from its maximum and minimum values

4 variants
Template 3

Find the period of a sinusoid from two matching graph features

4 variants
Template 4

Find the frequency from the period of a periodic model

4 variants
Template 5

Write a sine model from maximum and minimum values, period, midline, and the direction of a midline crossing

4 variants
Template 6

Write a cosine model from amplitude or extreme values, period, midline, and the x-value of a maximum or minimum

4 variants
Template 7

Choose the basic trigonometric model type from a periodic situation's starting position

4 variants
Template 8

Interpret every sinusoidal parameter with units

4 variants
Template 9

Find and verify sinusoidal maximum and minimum values

4 variants
Template 10

Find when a sinusoidal model reaches its first maximum or minimum

4 variants
Template 11

Compare sinusoidal models with parallel feature fields

4 variants
Template 12

Write a sinusoidal model from maximum, minimum, period, and starting-position clues

4 variants
Template 13

Decide whether a periodic model is appropriate

4 variants
Template 14

Predict an output value from a sine or cosine model

4 variants