what do you know about ratios? when have you seen or used ratios?
TRANSCRIPT
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Lesson 1:Ratios &
Equivalent Ratios
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Part One - RATIOS
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What do you know about ratios?
When have you seen or used ratios?
With your elbow partner:
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What is a ratio?How many different ways can you write a ratio?
With your elbow partner:
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A ratio COMPARES two quantities (numbers).
A ratio shows how much of one thing you have compared to something else.
Definition:
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a to b
a:b
ab
All three are read as “the ratio of a to be”
Ratios can be written 3 different ways:
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Click for Interactive Video
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For each of the statements your
teacher reads out loud, write two ratios on your whiteboard.
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For each of the ratios your
teacher reads out loud, create an
example on your whiteboard.
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Complete Exploratory Challenge. (Save in math folder.)
Discuss answers with your team.
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Part Two – EQUIVALENT RATIOS
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What is an equivalent ratio? Create an example.
With your elbow partner:
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How many different ways can you find equivalent ratios for:
2 boys to 3 girls
With your elbow partner:
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How many different strategies can we share?
Class Discussion:
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equivalent fractions multiplication tables tape diagram
Finding Equivalent Ratios:
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The ratio of the length of Shanni’s ribbon to the length of Mel’s ribbon is 5 : 3 .
How much ribbon does Mel use if Shanni uses 45m?
Example #1 - Using Fractions
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The ratio of the number of laps Mason ran to the number of laps Laney ran was 2 to 3.
If Mason ran 8 laps, how many did Laney run?
Example #2 - Using Multiplication
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The ratio of the number of laps Mason ran to the number of laps Laney ran was 2 to 3.
Use a table to list 4 more equivalent ratios.
Example #3 - Using Tables
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The ratio of the number of laps Mason ran to the number of laps Laney ran was 2 to 3.
Use a tape diagram to find how far Mason ran if Laney ran 930m.
Example #4 - Tape Diagram
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In a bag of mixed nuts, the ratio of walnuts to cashews is 5 : 6.
Use a tape diagram to determine how many walnuts are in the bag if there are 54 cashews.
Example #5 - Tape Diagram
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On a test, the ratio of the number of problems Josie got incorrect to the number of problems she got correct is 2:9.If Josie missed 8 problems, how many did she get right?
Example #6 - All strategies