# Gabriel's problem

In this lesson, you will learn about a famous maths problem called 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.

#### Unit quizzes are being retired in August 2023

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Quiz:

# Intro quiz - Recap from previous lesson

Before we start this lesson, letβs see what you can remember from this topic. Hereβs a quick quiz!

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

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Intro quiz - Recap from previous lesson

Before we start this lesson, letβs see what you can remember from this topic. Hereβs a quick quiz!

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

• Click "Close Video"
• Click "Next" to view the activity

Your video will re-appear on the next page, and will stay paused in the right place.

# Worksheet

These slides will take you through some tasks for the lesson. If you need to re-play the video, click the βResume Videoβ 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 βNextβ 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.

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Gabriel's problem:

Donβt worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

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.Which of the following could be a value for 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.

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Gabriel's problem:

Donβt worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

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.Which of the following could be a value for C?

3/3

# Lesson summary: Gabriel's problem

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## Time to move!

Did you know that exercise helps your concentration and ability to learn?

For 5 mins...

Move around:
Jog

On the spot:
Chair yoga