Vocabulary Rates, Ratio and Proportions

Vocabulary: Rates, Ratio, Proportions, Similarity and Congruence

Equivalent ratio's and fractions.

They are the same amount when simplified.

What are different ways to show a ratio?

Ratio's can be shown in different ways.

More examples of equivalent ratios?

What are ratios and unit rate?

Divide the ratio to find per one.

What are rates and unit rates?

A rate is a ratio that compares two different quantities with different types of units. Unit rates are per one. (Divide to find per 1).

What are Proportions?

Equivalent ratio's are proportional. They simplify to the same amount..or use cross products.

What are Cross products and how do we use them to find missing variables?

We can solving for a variable by using cross products.

What are similar figures?

They are proportional.

Same shape - NOT the same size.

How can we use similar tringles to find missing angles and sides?

Corresponding Angles are equal.

Corresponding sides are proportional

Angles are congruent also by notation!

Angle a is congruent to Angle D. This is another way to match corresponding sides.

What are corresponding angles and sides?

Use the angles to match up the sides.

What is the difference between similar and congruent?

What is indirect measurement? How tall is the tree?

We can make a proportion to find an unknown height or length.

Use Cross products to set up for the indirect measurement.

 $\frac{Tree}{shadow}$  =  $\frac{pole}{shadow}$  They are proportional

 $\frac{x}{4.8}$  =   $\frac{1}{.6}$  

  $4.8\ \times\ 1\div.6$  

How tall is the first tree?

Make a proportion of the shadow to height to find the missing tree hieght.

Set up a proportion again.

 $\frac{tree}{shadow}$  =  $\frac{tree}{shadow}$  

 $\frac{t}{17.5}$  =   $\frac{10.5}{11.25}$  
Cross products to find missing Tree height.

I hope this has given you an understanding Proportional Relationship.