The Collatz conjecture

In this lesson, you will think about a famous unsolved Maths problem!

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

Q1.Fill the gap: Every even integer greater than two can be written as the sum of two __________ integers.

1/5

Q2.Goldbach wrote his conjecture in a letter. Who was the letter to?

2/5

Q3.What was Mr Golbach's first name?

3/5

Q4.True or false: Goldbach's conjecture is proven to be true.

4/5

Q5.Write 7 as a sum of two prime numbers.

5/5

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

Q1.Fill the gap: Every even integer greater than two can be written as the sum of two __________ integers.

1/5

Q2.Goldbach wrote his conjecture in a letter. Who was the letter to?

2/5

Q3.What was Mr Golbach's first name?

3/5

Q4.True or false: Goldbach's conjecture is proven to be true.

4/5

Q5.Write 7 as a sum of two prime numbers.

5/5

Video

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Worksheet

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Quiz:

The Collatz conjecture quiz

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

Question 4

Question 5

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

Quiz:

The Collatz conjecture quiz

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

Question 4

Question 5

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

Lesson summary: The Collatz conjecture

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