Clock Arithmetic and Modulo Operations

This video tutorial explains how to use clock arithmetic, specifically mod 12 arithmetic, to determine future times. It provides two examples: calculating the time 79 hours after 3:00 and 81 hours after 7:00. The tutorial demonstrates two methods for each example: evaluating the modulus first and summing first, then applying the modulus. It also illustrates how to visualize these calculations using a clock.

What is the main concept used to determine future time in this lesson?

• Division

• Subtraction

• Addition

• Clock Arithmetic

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CCSS.HSF.LE.B.5

In the first example, what is the initial time given?

• 7:00

• 3:00

• 4:00

• 10:00

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CCSS.7.EE.B.3

How is 79 mod 12 calculated in the first method?

• By subtracting 12

• By finding the remainder

• By adding 12

• By finding the quotient

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CCSS.7.NS.A.2C

What is the result of 3 mod 12 + 7 mod 12 in the first example?

• 3

• 7

• 12

• 10

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CCSS.8.EE.B.5

In the second example, what is the initial time given?

• 7:00

• 3:00

• 10:00

• 4:00

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CCSS.4.NBT.B.6

What is the remainder when 81 is divided by 12 in the second example?

• 7

• 9

• 4

• 6

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CCSS.7.NS.A.1D

What is the result of 7 mod 12 + 9 mod 12 in the second example?

• 16

• 9

• 4

• 12

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CCSS.HSF.TF.B.7

How many complete rotations are needed for 81 hours in the second example?

• 5

• 6

• 7

• 8

What is the final time calculated in the second example using the second method?

• 3:00

• 7:00

• 4:00

• 10:00

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CCSS.5.NBT.B.7

What is the advantage of using the second method in both examples?

• It is more accurate

• It is more visual

• It is faster

• It requires fewer calculations

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CCSS.5.NBT.B.7