M101

Proportion

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Proportion

Definition:

A statement of equality between two ratios in which the first of the four terms divided by the second equals the third divided by the fourth (as in 4/2=10/5)

HOW TO:

Solving proportions is simply a matter of stating the ratios as fractions, setting the two fractions equal to each other, cross-multiplying, and solving the resulting equation

Khan Link:

https://www.khanacademy.org/math/pre-algebra/pre-algebra-ratios-rates/pre-algebra-write-and-solve-proportions/v/writing-proportions

Lyrics

Proportions  

 

 

Ra-ra-ra Ratio  

Por-Por-Proportion 

Ra-ra-ra Ratio  

Por-Por-Proportion 

Ra-ra-ra Ratio  

Por-Por-Proportion 

 

I can show you all about a ratio proportion  

Now, a proportion are two ratios that equal to each other  

Like 1/5th and 3/15ths  

When you cross multiply both products must  

Stay equal to each other  

You have that then what you see is nothing more than  

Ra-ra-ra ratios with por-por-por portions 

So many possibilities we have to explore them 

Let me break the lesson down (down, down, down) 

So we can all get it now (now, now, now) 

Now, let’s say I have 1 to 2 as a ratio  

It’s written as ½ as a fraction  

In order for us to make a proportion with even another fraction 

Let’s try 2/4ths and see what will happened 

We cross multiply 1x4 and 2x2 

Hoping that our results will stay equal 

1x4 is 4 

2x2 is 4 

We did it ! 

Now we all have proportion fever, yeah!!!! 

The easiest way for you to create a proportion  

Is to multiply the denominator and the numerator of your ratio fraction by the same number  

Got it? Let’s go !!!  

 

Ra-ra-ra Ratio  

Por-Por-Proportion 

Ra-ra-ra Ratio  

Por-Por-Proportion 

Ra-ra-ra Ratio  

Por-Por-Proportion 

I can show you all about a ratio proportion  

Ra-ra-ra Ratio  

Por-Por-Proportion 

Ra-ra-ra Ratio  

Por-Por-Proportion 

Ra-ra-ra Ratio  

Por-Por-Proportion 

I can show you all about a ratio proportion  

Standards

  • CCSS.MATH.CONTENT.7.RP.A.2 — Recognize and represent proportional relationships between quantities.
  • CCSS.MATH.CONTENT.8.EE.B.5 — Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.
  • CCSS.MATH.CONTENT.7.RP.A.2.C — Represent proportional relationships by equations.
  • CCSS.MATH.CONTENT.7.RP.A.2.D — Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
  • CCSS.MATH.CONTENT.7.RP.A.2.B — Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.