Lesson 8 Variation

We will formulate and solve equations involving variation.
I will summarize how to formulate and solve equations involving variation.
TEKS 2A.6L

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Lesson 8 Variation

Math Response

Type the equation, using "y=" and no spaces.

Type answer here

Correct Answer: y=\frac{1}{x+1}+3

Deg^°

Rad

​y=mx is the most basic form of variation. You have heard of it as slope many times. What makes this different is there is no "b" or "y-intercept" that we discuss. Why? Simply put we are discussing how one variable affects the other.

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You have been working with variation since day 1 of algebra 1....

Fill in the Blanks

What have you seen variation given as? (One word to describe "m")

Notice for the last two types in the table there is no graph pictured... Why is that?

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Four major types of variations

Open Ended

Why is there no graph depicted in the last two types of variations?

Dropdown

Example 1A variation is:

Select answer

Example 1B variation is: ​

Select answer

Example 1C variation is:​

Select answer

Multiple Choice

Example 1A equation should look like:

• $$y=\frac{40}{x}$$

• $$y=40x$$

• $$z=40xy$$

• $$z=\frac{40}{x}y$$

• $$z=\frac{40}{y}x$$

Multiple Choice

Example 1B equation should look like:

• $$y=\frac{8}{x}$$

• $$y=8x$$

• $$z=8xy$$

• $$z=\frac{8}{x}y$$

• $$z=\frac{8}{y}x$$

Let's work through this one together

Dropdown

Example 2A: The variation equation is​

Select answer

, y =​

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when x = 15, and finally, x =​

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when y = 72.

Read the question carefully for context clues.

Try this one on your own

Dropdown

Example 2B: The variation equation is​

Select answer

, y =​ ​

Select answer

when x = 3, and finally, x =​ ​

Select answer

when y = 2.

Let's add another dimension...

Open Ended

Type a quick summary in your words of the lesson today.

Poll

Rate your understanding on a scale of 1-5 how you feel you understood variation.

• 5 - Easy peasy!

• 4 - It's understandable enough

• 3 - I feel I need more practice

• 2 - Definitely felt a little lost today but starting to grasp it

• 1 - I did not understand what was happening other than it looked like magic....