Tape Diagrams


 

Unit Objective

    Be able to use tape diagrams to solve ratio problems

 

Key Vocabulary

    Tape diagrams - visual representations that represent the sections of a ratio by using rectangles

 

    Example:

 

 

 

 

The ratio of comedy DVDS to action DVDS is 10 to 90 but it can be simplified to 1 to 9.

 

 

Let’s practice.

 

1) Dale makes candles by melting waxes. To make his favorite candle he uses 2 parts of wax A to 5 parts of wax B. Draw a tape diagram to represent this ratio.

 

  

 

 

 

 

2) There are 5 beagles in the kennel. The kennel has 35 dogs currently. Make a tape diagram to represent the ratio of beagles to all dogs. (part to whole)

 

  

 

 




Interpreting a Tape Diagram
The tape diagram represents the ratio of blue monsters to green monsters you caught in a game. You caught 10 green monsters. How many blue monsters did you catch?

 

 




Does the example above represent a part to part or part to whole relationship? 

 

 

 

Let's practice.
1) The tape diagram represents the ratio of gifts received to gifts given. You received 4 gifts. How many gifts did you give?

 

 

 

 


Drawing a Tape Diagram
There are 3 bones in a cat for every 4 bones in a dog. The cat has 240 bones. How many bones does the dog have?

The ratio of bones in the cat to bones in the dog is 3:4. Represent
the ratio using a tape diagram.

 

 

 

 

Let's practice.
There are 8 bones in a large snake for every 3 bones in a small snake. The small snake has 150 bones. How many bones does the large snake have?

 

 

 

 

 

 


 

 

Using a Tape Diagram to Solve a Ratio Problem
The ratio of your monthly allowance to your friend’s monthly allowance is 5:3. The monthly allowances total $40. How much is each allowance?

Represent the ratio 5:3 using a tape diagram.

 

 

 

Let’s practice.

1) What if. Repeat the previous example when the ratio of your monthly allowance to your friend’s monthly allowance is 2 to 3.