Odd and Even Properties – Tray of Goodies

Use this fun and engaging investigation project with your students to help them practice their knowledge of odd and even number properties. All four operations have been included – however, the beauty about this project is that you can differentiate to suit the needs of your students.

In this investigation, students need to choose a rule card, and then use the digit and operation cards to build the equation shown on their rule card.

Students solve the created equation to identify if the rule is true or false. Then, students must record each number equation they find true and use that information collected to complete the properties worksheet.

What are the Odd and Even Properties of each Operation

Addition

• Odd + Odd = Even: When you add two odd numbers, the result will always be an even number. For example, 3 + 5 = 8.
• Even + Even = Even: When you add two even numbers, the result will always be an even number. For example, 4 + 6 = 10.
• Odd + Even = Odd: When you add an odd number and an even number, the result will always be an odd number. For example, 7 + 2 = 9.

Subtraction

• Odd – Odd = Even: When you subtract an odd number from another odd number, the result will always be an even number. For example, 9 – 3 = 6.
• Even – Even = Even: When you subtract an even number from another even number, the result will always be an even number. For example, 8 – 4 = 4.
• Odd – Even = Odd: When you subtract an even number from an odd number, the result will always be an odd number. For example, 5 – 2 = 3.

Multiplication

• Odd x Odd = Odd: When you multiply two odd numbers, the result will always be an odd number. For example, 3 x 5 = 15.
• Even x Even = Even: When you multiply two even numbers, the result will always be an even number. For example, 4 x 6 = 24.
• Odd x Even = Even: When you multiply an odd number by an even number, the result will always be an even number. For example, 7 x 2 = 14.

Division

• Odd ÷ Odd = Odd: When you divide an odd number by another odd number, the result will always be an odd number. For example, 15 ÷ 3 = 5.
• Even ÷ Even = Even: When you divide an even number by another even number, the result will always be an even number. For example, 8 ÷ 2 = 4.
• Odd ÷ Even = Fraction: When you divide an odd number by an even number, the result may be a fraction or a decimal. For example, 7 ÷ 2 = 3.5.

Download & Print

Use the dropdown menu to choose between the PDF or editable Google Slide version of this resource. It is advised you print this on cardstock to ensure the durability of the resource.

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This resource was created by Lindsey Phillips, a teacher in Michigan and a Teach Starter collaborator.

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