Representing Numbers Lesson 5

Multiple Choice

Which of the following is an example of a binary system?

• A system using only 0 and 1

• A system using numbers 1 to 10

• A system using Roman numerals

• A system using letters A to Z

Multiple Choice

Which cards must be turned off to make the number 13, and why?

• The card labeled 8

• The card labeled 4

• The card labeled 2

• The card labeled 1

Multiple Select

Which cards must be turned off to make the number 7, and why?

• The card labeled 8

• The card labeled 4

• The card labeled 2

• The card labeled 1

Multiple Select

Which cards must be turned off to make the number 6, and why?

• The card labeled 8

• The card labeled 4

• The card labeled 2

• The card labeled 1

Multiple Select

Which cards must be turned off to make the number 12, and why?

• The card labeled 8

• The card labeled 4

• The card labeled 2

• The card labeled 1

Multiple Select

Which cards must be turned off to make the number 3, and why?

• The card labeled 8

• The card labeled 4

• The card labeled 2

• The card labeled 1

Multiple Choice

Which of the following is a key objective of this lesson?

• Learn about the history of Mexico

• Extend a representation system based on patterns

• Memorize multiplication tables

• Study famous Mexican landmarks

Fill in the Blanks

Multiple Select

How would you make 16

• 16

• 8

• 4

• 2

• 1

Multiple Select

How would you make 27

• 16

• 8

• 4

• 2

• 1

Multiple Select

How would you make 31

• 16

• 8

• 4

• 2

• 1

Here is a 6 bit system.

1. What do you notice about the numbers?

2. Is it what you expected, and why?

3. What is the largest number you can make?

Think - Turn and Talk

Open Ended

1. What do you notice about the numbers?

2. Is it what you expected, and why?

Fill in the Blanks

Drag and Drop

6-bit Numbers

1. In a 6-bit number system,

Placeholder

and​

Placeholder

Drag these tiles and drop them in the correct blank above

16

32

20

6

7

30

Multiple Choice

What is their number?

Fill in the Blanks

• First Find the bits "ON" and "OFF" that would be needed to represent the number.

• Then, check the total

• Then represent the "On" as 1 and the "OFF" as 0

THE PROCESS

Multiple Choice

The record for most skips by a dog and person in one minute is 59. How would you encode 59 in binary?

• 110101
• 111000
• 101110
• 111011

Fill in the Blanks

Draw

Create a Binary Profile

Answer each of the questions on the left, but encode your answers as a binary number on the right.
Use the online widget to help create a personal profile in binary

Open Ended

Are there multiple ways to represent a number? Why or why not?