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Understanding Sinusoidal Functions and Periodic Contexts

Understanding Sinusoidal Functions and Periodic Contexts

Assessment

Interactive Video

Mathematics, Education

10th - 12th Grade

Practice Problem

Hard

Created by

Olivia Brooks

FREE Resource

In this video, Becky Barnes and Jam Sidiki introduce themselves and discuss their teaching backgrounds. They then delve into task model 3, focusing on modeling periodic contexts using sinusoidal functions. The video includes a detailed explanation of a tuning fork problem, where students learn to determine possible coordinates on a graph and find constants in a sinusoidal function. The instructors also analyze the behavior and rate of change of the function, emphasizing the importance of understanding concavity. The session concludes with a wrap-up and a preview of the next session.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of the video tutorial presented by Becky and Jam?

Learning about exponential growth

Exploring quadratic functions

Understanding sinusoidal functions in periodic contexts

Modeling linear equations

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the task model discussed, what is the maximum score for the FRQs?

6 points

10 points

5 points

8 points

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many times does the periodic motion of the tuning fork occur in one second?

100 times

1000 times

500 times

250 times

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the amplitude of the sinusoidal function modeling the tuning fork's motion?

1 mm

4 mm

2 mm

3 mm

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which function is used to model the tuning fork's motion in the problem?

Sine function

Tangent function

Exponential function

Cosine function

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of the constant D in the sinusoidal function equation?

5

1

0

3

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the concavity of a function indicate about its rate of change?

Concave down indicates a constant rate

Concave up indicates an increasing rate

Concave down indicates an increasing rate

Concave up indicates a decreasing rate

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