Direct Variation

Presentation

•

Mathematics

•

9th Grade

•

Easy

rene verula

Used 5+ times

FREE Resource

5 Slides • 13 Questions

Review

Addition, subtraction, multiplication and division of radicals

Draw

Simplify $\left(\sqrt[]{7}\right)^2$

Draw

Perform the operation and simpify. $\left(\sqrt[]{2}\right)^{ }\left(\sqrt[]{5}\right)^{ }$

Draw

Multiply $\sqrt[]{3}^{ }\left(5-4\sqrt[]{2}\right)^{ }$

At the end of the lesson, you will be able to;

a) solve equations involving radical expressions

b) illustrate direct variation and direct square variation

Draw

Given $\sqrt[]{y}=7$ What is the result when we square both sides?

Open Ended

Describe what happens to the radical symbol? $\sqrt[]{y}=7\ becomes\ y=49$

Type response here

Multiple Choice

What laws of radical supports your answer?

$Law\ 1.\ \sqrt[x]{x^n}=\ x$

$Law\ 2.\ \sqrt[n]{xy}=\sqrt[n]{x}\cdot\sqrt[n]{y}$

$Law\ 3.\ \sqrt[n]{\frac{x}{y}}=\frac{\sqrt[n]{x}}{\sqrt[n]{y}}$

Draw

What value of y satisfies the equation? $\sqrt[]{y}=7$

Equations and Problems Involving Radicals

See example 1 and 2 on page 205

Open Ended

Why is it necessary to check if the value that you have solve is really a solutionn to the given equation?

Type response here

Direct Variation

Examples 1 and 2 on page 136-137

Multiple Choice

Examine the table, what can you observe?

As the time increases, the distance decreases

As the time increases, the distance increases

As the time increases, the distance is constant

As the time decreases, the distance decreases

Multiple Choice

Complete the table with the correct value.

145

140

135

Open Ended

Name one most important attributes of a student that vary directly with his or her academic performance.

Type response here

Inverse Variation

See example found on page 141

Multiple Choice

The graph shows the number of hours y that a loaders (x) can fill a truck. How many hours can 4 loaders fill a truck?

Multiple Choice

What equation relates the number of hours required to fill a truck and the number of loaders used?

$y=4x$

$y=\frac{x}{4}$

$y=\frac{4}{x}$

Review

Addition, subtraction, multiplication and division of radicals

Show answer

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