Grade 11 · Math · Algebra 2

11th grade Graph sine and cosine, and read amplitude, period, midline and phase shift worksheet

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Graph sine and cosine, and read amplitude, period, midline and phase shift

Grade 11 Math Worksheet - Building Confidence

NameDate

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

Ari graphs y = 6 sin x + 5. What is the amplitude?
Bo graphs y = -4 cos x + 1. What is the amplitude?
Kira has the table of y = sin x. What height goes in the row x = 3π/2 for y = 4 sin x + 11?
Luz has the table of y = cos x. What height goes in the row x = π for y = 5 cos x − 8?
Milo has the table of y = sin x. What height goes in the row x = 3π/2 for y = -6 sin x + 4?
Noah has the table of y = cos x. What height goes in the row x = π for y = -7 cos x + 5?
Pia plots a sine graph from its table. What is its amplitude?
Ren plots a cosine graph from its table. What is the height of its midline?
“plotted from its table” Zee plots a sine graph from its table. What is its amplitude?
Ari plots a cosine graph from its table. What is the height of its midline?

11th grade Graph sine and cosine, and read amplitude, period, midline and phase shift worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Graph sine and cosine, and read amplitude, period, midline and phase shift. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can fill the key rows of a sine or cosine table and plot one cycle.
I can read the amplitude, period, midline and phase shift from an equation or a graph.
I can find the greatest and least values of a sine or cosine graph.

Standard: F-IF.C.7e, F-TF.B.5 (related)

Words to know

unit circle unrolled: The circle's heights laid out in a table, angle across, height up.

amplitude: How far the graph rises above its midline; never negative.

midline: The middle height, halfway between the highest and lowest rows.

period: How far across before the rows start repeating.

phase shift: How far the rows slide left or right.

key rows: The five rows of one cycle: start, quarter, half, three quarters, end.

Common mistakes

Your child used the whole distance from the lowest to the highest height.

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

Your child gave the amplitude with a minus sign.

What to say

Ask: how far is the top above the middle line?

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

Ask: can a height above the middle line be negative?

Questions parents ask

What is the most common mistake with graph sine and cosine, and read amplitude, period, midline and phase shift?

Your child used the whole distance from the lowest to the highest height.

How can I help my child with graph sine and cosine, and read amplitude, period, midline and phase shift?

Ask: how far is the top above the middle line?

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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