Minds On

Even and odd number comparison

Let’s examine the following numbers.

The numbers 1,3,5,7,9
The numbers 0,2,4,6,8

Which set of numbers do you think are odd numbers? Which set are even numbers? How do you know that a number is odd or even?

Even Numbers

  • A whole number is even if it can be shared into two equal-sized groups or many groups of 2 without a remainder.

Using dots

8 dots

Let’s explore how this works. Can you share 8 dots into two equal-sized groups?

Odd Numbers

  • A whole number is odd if it cannot be shared into two equal-sized groups or into many groups of 2 without a remainder.

Using dots

8 dots
  • Can you share 7 dots into two equal-sized groups? Why or why not? Explain your thinking.
  • What do you notice about trying to share even and odd numbers?

Now that you know the difference between even and odd numbers, put your knowledge to the test!

Brainstorm

Brainstorm

It can be confusing because both 76 and 23 have an even digit and an odd digit. How can one find out which number is odd and which number is even?

The numbers 23 and 76

You will now have a couple of minutes to think about which number is even and which one is odd.

Discussion

How did you find which number is even and which number is odd?

Record your ideas using a voice recorder, speech-to-text, or writing tool.

Odd and even numbers

Any number that ends with an even number is always even and any number that ends with an odd number is always odd.

  1. Try to represent 23 and 76 using counters to see which can be split into two equal groups. Which numbers can be split evenly? Which cannot?
Even numbers end in 0, 2, 4, 6, and 8. Examples include 4, 56, and 180. Odd numbers end in 1, 3, 5, 7, and 9. Examples include: 9, 83, 141.

Count the chairs

  • How many chairs are in the room that you are in? Is that an odd number or an even number?

Action

Number creations – Even and odd

Use a notebook to answer the following questions:

Question 1

How many different even numbers can you make using the following digits?

4, 3, 9, 6

Question 2

How many different odd numbers can you make using the following digits?

4, 3, 9, 6

Activity – going to the movies

Let’s imagine that we are going to the movies. You will have your own seat at the theatre. Let’s examine the seating plan.

A map of a movie theatre with some seats reserved.

Seven rows of movie theatre seats. The first row has six seats, and all of them are available. The second row has eight seats, but seats one and two are not available. The third row has eight seats, and all of them are available. The fourth row has eight seats, but seats four, five, and six are not available. The fifth row has ten seats, but seats six, seven, and eight are not available. The sixth row has twelve seats, but seats four, five, and eight are not available. The seventh row has twelve seats, but seats three, four, and five are not available.

Each row has a different number of seats. The red seats with numbers can be bought but the grey seats with the “x” on them have already been booked by other people.

If you were told that your row number is odd and your seat number is odd, what number could your seat be? Find the seat number using these clues:

  • Your row is even and your seat is even?
  • Your row is even and your seat is odd?
  • Your row is odd and your seat is even?

Consolidation

Odd or even

Drag the even numbers below into the Even Box and the odd numbers into the Odd Box.

Frame 1: odd
Frame 2: even

Reflection

How do you feel about what you have learned in this activity?  Which of the next four sentences best matches how you are feeling about your learning? Press the button that is beside this sentence.

I feel...

Now, record your ideas about your feelings using a voice recorder, speech-to-text, or writing tool.