Increase or Decrease?

Increase or Decrease?

6.3B

Monday, October 5, 2020

• Know - Students will know how to determine if a number has increased or decreased when multiplying by a fraction.

• Understand - Students will understand how to determine if a number has increased or decreased when multiplying by a fraction.

• Be Able To - Students will be able to determine if a number has increased or decreased when multiplying by a fraction.

Last week we were multiplying decimals, 

so today we can going to use that to help us determine whether a quantity, or number, increase or decrease when multiplied by a fraction.

There are two type of fractions:
proper and improper

Proper Fractions:  $\frac{1}{2},\ \frac{3}{4},\ \frac{8}{9}$  

Improper Fractions:  $\frac{2}{1},\frac{4}{3},\ \frac{9}{8}$  

Poll

Which fractions are improper?

• $\frac{3}{5}$

• $\frac{9}{3}$

• $\frac{7}{4}$

• $\frac{2}{6}$

• $\frac{8}{6}$

Changing a Mixed Number to an Improper Fraction

Please watch.

Multiple Choice

Which improper fraction represents  $3\ \frac{4}{5}$  ?

•  $\frac{20}{5}$  

•  $\frac{4}{19}$  

•  $\frac{19}{5}$  

•  $\frac{21}{5}$  

Now that we built some background information,

let's get into visual representations of multiplying a quantity by a fraction less than one.

Poll

When multiplying a whole number by a fraction less than 1, the product will be _______ than the whole number factor.

• greater

• less

On to a...

...visual representation of multiplying a quantity by a fraction greater than one.

Poll

When multiplying a whole number by a fraction greater than 1, the product will be _______ than the whole number factor.

• greater

• less

Let's get into decimal representations of multiplying a quantity by a value less than or greater than one.

Challenge!

Now let's explore multiplying a whole number by a mixed number.

YOUR TURN

Pratice by completing the next 8 practice problems.

Multiple Choice

Look at the picture.

Use < or > to make the statement true.

• <

• >

Multiple Choice

Look at the picture.

Use < or > to make the statement true.

• <

• >

Multiple Choice

Look at the picture.

Use < or > to make the statement true.

• <

• >

Multiple Choice

What is  $3\ \frac{2}{8}$  as an improper fraction?

•  $\frac{26}{8}$  

•  $\frac{24}{8}$  

•  $\frac{6}{8}$  

•  $\frac{14}{8}$  

Multiple Choice

Click the picture to zoom in.

• A

• B

• C

• D

Multiple Choice

Click the picture to zoom in.

• A

• B

• C

• D

Multiple Choice

Click the picture to zoom in.

• A

• B

• C

• D

Finished

Have a fabulous day!