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Odd & even numbers

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visibility 73update 2 months agobookmarkshare

🎯 In this topic you will

Recognize and classify numbers as odd or even.

🧠 Key Words

even
odd
pair
pattern

Show Definitions

even: A number that can be divided into two equal whole parts with no remainder.
odd: A number that cannot be divided into two equal whole parts and leaves a remainder of one.
pair: A group of two objects or numbers that are matched or counted together.
pattern: A repeated or predictable sequence of numbers, shapes, or objects.

🔢 Different Kinds of Numbers

There are different kinds of numbers. Some numbers are called even numbers. An even number of objects can be put into pairs with none left over. Some numbers are called odd numbers. An odd number of objects always has 1 left over when the objects are put into pairs.

📘 Worked example

Draw a ring around the correct word for 3.
Use some cubes to help you.

odd / even

Answer:

1 pair and 1 left over. 3 is an odd number.

When objects are grouped into pairs, the number 3 makes one complete pair with one cube left over. Numbers that leave one object unpaired are called odd numbers.

❓ EXERCISES

1. Is each number odd or even? Draw a ring around the correct word.

a. $8$ odd / even

b. $1$ odd / even

👀 Show answer

a. $8$ is even.
b. $1$ is odd.

2. Draw an odd number of counters on the ten frame. Make it easy to see that it is odd.

👀 Show answer

Example answer: draw $5$ counters. They make $2$ pairs with $1$ left over, so the number is odd.

3. Colour the even numbers on the number track red. Colour the odd numbers on the number track blue. What pattern have you made?

👀 Show answer

Even numbers: $0, 2, 4, 6, 8, 10$ (red).
Odd numbers: $1, 3, 5, 7, 9$ (blue).
Pattern: the colors alternate odd, even, odd, even along the number track.

4. Is each number odd or even? Use the number track above to help you.

a. $1$ odd / even

b. $4$ odd / even

c. $7$ odd / even

d. $10$ odd / even

👀 Show answer

a. $1$ is odd.
b. $4$ is even.
c. $7$ is odd.
d. $10$ is even.

🧠 Think like a Mathematician

Work on your own. Use the ten frame odd and even jigsaws that you made in the classroom.

Put two numbers together to make ten, so that the ten frames are whole again.

Discuss what you notice about the numbers in each ten frame.

Show Answers

Observation: Pairs of numbers that add to $10$ complete the ten frame.
Pattern: When one number increases, the other decreases so their total stays $10$.
Example:$1 + 9 = 10$, $2 + 8 = 10$, $3 + 7 = 10$, $4 + 6 = 10$, and $5 + 5 = 10$.

📘 Worked example

$6$ is the answer.

What could the question be?

Answer:

All of these questions have the same answer, which is $6$.

Because $4 + 2 = 6$, $10 - 4 = 6$, and the next even number after $4$ is $6$.

❓ EXERCISES

5. $8$ is the answer.
What could the question be?

👀 Show answer

Example questions that could have the answer $8$:
• Which number is $2$ more than $6$?
• Which number is $3$ fewer than $11$?
• What is the next even number after $6$?
• How many counters are in $4$ pairs?
• Which number comes after $7$?
• Which even number is between $7$ and $9$?

📘 What we've learned

We learned how to decide whether a number from $1$ to $10$ is odd or even.
An even number can be grouped into pairs with none left over.
An odd number always has $1$ left over when objects are paired.
We recognized the alternating pattern of odd and even numbers on a number track.

Odd & even numbers

🎯 In this topic you will

🧠 Key Words

🔢 Different Kinds of Numbers

❓ EXERCISES

🧠 Think like a Mathematician

❓ EXERCISES

📘 What we've learned

Related Past Papers

Related Tutorials

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