New
New
Year 4
Use patterns of odd and even numbers in the times tables to solve problems
I can use patterns of odd and even numbers in the times tables to solve problems.
New
New
Year 4
Use patterns of odd and even numbers in the times tables to solve problems
I can use patterns of odd and even numbers in the times tables to solve problems.
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Lesson details
Key learning points
- Knowing if the product will be odd or even can help to solve problems.
- If the times table is odd, the products will alternate between odd and even.
- If the times table is even, the products will all be even.
Keywords
Odd - An odd number is any whole number that cannot be divided exactly by 2 The ones digit is 1, 3, 5, 7 or 9
Even - Any whole number that can be divided exactly by 2 is an even number. The ones digit is 0, 2, 4, 6 or 8
Common misconception
Pupils may not understand how to use patterns of odd and even numbers to make problem-solving easier.
Show that recognising these patterns can help predict results and verify answers (e.g., an even × odd = even).
Incorporate pattern recognition games where pupils predict products as odd or even before calculating (2 truths and 1 lie.)
Teacher tip
Licence
This content is © Oak National Academy Limited (2025), licensed on
Open Government Licence version 3.0
except where otherwise stated. See Oak's terms & conditions (Collection 2).Lesson video
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Starter quiz
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6 Questions
Q1.
In a multiplication equation, if one factor is odd and one factor is even, the product will be .
Q2.
Which expressions will give an odd product?
9 × 6
6 × 10
Q3.
How can we find the product of 35?
Multiply two even factors together.
Multiply an odd factor and an even factor together.
Q4.
Which of these times tables has all even products?
5 times table
7 times table
Q5.
Which of these times tables have a pattern that results in the products alternating between odd and even?
6 times table
12 times table
Q6.
True or false. The products in the 8 times tables will always be even.
False
Exit quiz
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6 Questions
Q1.
Which of these expressions will result in an odd product?
27 × 8
10 × 22
Q2.
Without calculating, will this equation produce an odd or even product? 23 × 6 =
odd
Q3.
When two odd factors are multiplied together, the product is .
Q4.
Sofia thinks of a 2-digit number multiplied by a 1 digit number. Her product is even. What could the expression be?
7 × 13
9 × 21
10 × 18
Q5.
True or false. All products with 52 as one factor will be even.
False
Q6.
Jacob says, “When I multiply an odd factor by an factor, the product will be even.” Complete the missing word.
odd