Gabriel's problem

In this lesson, you will learn about Gabriel's problem!

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Question 1

Question 2

Question 3

Question 4

Question 5

A sequence is defined as follows: Start with any positive integer value (𝑛). Each term is found from the previous term as follows: If the value is even, divide it by 2 (𝑛/2). If the value is odd, multiply it by 3 and add 1 (3𝑛+1).

 

Q1.If the first term of the sequence is 30, what would the second term be?

1/5

Q2.If the second term of the sequence is 30, what would could the first term be?

2/5

Q3.Fill in the gap: The Collatz conjecture states: no matter the start number (𝑛), the sequence will always reach __________.

3/5

Q4.What is the first name of Mr Collatz?

4/5

Q5.In what year did Collatz make his conjecture?

5/5

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Question 1

Question 2

Question 3

Question 4

Question 5

A sequence is defined as follows: Start with any positive integer value (𝑛). Each term is found from the previous term as follows: If the value is even, divide it by 2 (𝑛/2). If the value is odd, multiply it by 3 and add 1 (3𝑛+1).

 

Q1.If the first term of the sequence is 30, what would the second term be?

1/5

Q2.If the second term of the sequence is 30, what would could the first term be?

2/5

Q3.Fill in the gap: The Collatz conjecture states: no matter the start number (𝑛), the sequence will always reach __________.

3/5

Q4.What is the first name of Mr Collatz?

4/5

Q5.In what year did Collatz make his conjecture?

5/5

Video

Click on the play button to start the video. If your teacher asks you to pause the video and look at the worksheet you should:

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Worksheet

These slides will take you through some tasks for the lesson. If you need to re-play the video, click the ‘Resume Video’ icon. If you are asked to add answers to the slides, first download or print out the worksheet. Once you have finished all the tasks, click ‘Next’ below.

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Gabriel's problem:

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Question 1

Question 2

Question 3

Q1.Each blue box is the product of the 3 numbers in that row or column. All the questions refer to this picture below. First, what is the value in box A?

1/3

Q2.What is the value in box B?

2/3

Q3.What is the value in box C?

3/3

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Gabriel's problem:

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Question 1

Question 2

Question 3

Q1.Each blue box is the product of the 3 numbers in that row or column. All the questions refer to this picture below. First, what is the value in box A?

1/3

Q2.What is the value in box B?

2/3

Q3.What is the value in box C?

3/3

Lesson summary: Gabriel's problem

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