Understanding Slope and Sinusoidal Functions

Understanding Slope and Sinusoidal Functions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial covers the last section of chapter 5, focusing on sinusoidal functions and their transformations. It explains how to graph these functions and link them to instantaneous rates of change, or slopes. The tutorial includes a real-life application involving a Ferris wheel, demonstrating how to create equations for sinusoidal graphs. The video also discusses the analysis of positive and negative slopes, emphasizing the importance of understanding these concepts in graphing.

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9 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary focus of the last section of Chapter 5?

Studying exponential growth

Learning about linear equations

Understanding sinusoidal functions and IROC

Exploring quadratic functions

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What mathematical concept is used to describe the transformation of sinusoidal functions?

Graphical representation

Mapping notation

Numerical approximation

Algebraic manipulation

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does IROC stand for in the context of this lesson?

Instantaneous Rate of Calculation

Integrated Rate of Change

Incremental Rate of Calculation

Instantaneous Rate of Change

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the Ferris wheel example, what is the height of the Ferris wheel?

35 meters

25 meters

20 meters

30 meters

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the period of one rotation of the Ferris wheel in the example?

20 seconds

30 seconds

50 seconds

40 seconds

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which equation is typically easier to figure out according to the lesson?

Cosine equation

Tangent equation

Quadratic equation

Sine equation

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the amplitude of the Ferris wheel's sinusoidal function?

10

15

20

25

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the slope as it approaches the peak of a parabola?

It remains constant

It becomes more negative

It becomes more positive

It becomes less negative

9.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the largest positive slope you can have in IROC?

Between two minimum points

At the maximum point

At the minimum point

Between a minimum and maximum