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3 × 6 = ?
3 × ? = 18, and 18 ÷ 3 = ?
? × 6 = 18, and 18 ÷ 6= ?
Equal Groups
There are 3 bags with 6 plums in each bag. How many plums are there in all?
If 18 plums are shared equally into 3 bags, then how many plums will be in each bag?
If 18 plums are to be packed 6 to a bag, then how many bags are needed?
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Measurement example.
You need 3 lengths of string, each 6 inches long. How much string will you need altogether?
Measurement example.
You have 18 inches of string, which you will cut into 3 equal pieces. How long will each piece of string be?
Measurement example.
You have 18 inches of string, which you will cut into pieces that are 6 inches long. How many pieces of string will you have?
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Arrays, Area
There are 3 rows of apples with 6 apples in each row. How many apples are there?
If 18 apples are arranged into 3 equal rows, how many apples will be in each row?
If 18 apples are arranged into equal rows of 6 apples, how many rows will there be?
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Area example.
What is the area of a 3 cm by 6 cm rectangle?
Area example.
A rectangle has area 18 square centimeters. If one side is 3 cm long, how long is a side next to it?
Area example.
A rectangle has area 18 square centimeters. If one side is 6 cm long, how long is a side next to it?
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Area example (real world).
A rug is 3 feet wide and 6 feet long. What is the area of the rug?
Area example (real world).
The area of a rectangle rug is 18 square ft. If it is 3 feet wide, how long is it?
Area example (real world).
The area of a rectangle rug is 18 square ft. If it is 6 feet long, how wide is it?
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Compare
A blue hat costs $6. A red hat costs 3 times as much as the blue hat. How much does the red hat cost?
A red hat costs $18 and that is 3 times as much as a blue hat costs. How much does a blue hat cost?
A red hat costs $18 and a blue hat costs $6. How many times as much does the red hat cost as the blue hat?
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Measurement example.
A rubber band is 6 cm long. How long will the rubber band be when it is stretched to be 3 times as long?
Measurement example.
A rubber band is stretched to be 18 cm long and that is 3 times as long as it was at first. How long was the rubber band at first?
Measurement example.
A rubber band was 6 cm long at first. Now it is stretched to be 18 cm long. How many times as long is the rubber band now as it was at first?
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For Each / Every
A class had 3 boys. For each boy in the class there were 6 girls. How many girls were in the class?
A class had 18 girls and 3 boys. For each boy in the class, how many girls were there?
A class had 18 girls. Which is 6 girls for every boy. How many boys were in the class?
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