Tape Diagrams
Unit Objective
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Be able to use tape diagrams to solve ratio problems
Key Vocabulary
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Tape diagrams - visual representations that represent the sections of a ratio
by using rectangles
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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.