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.

Lesson details

Key learning points

  1. Knowing if the product will be odd or even can help to solve problems.
  2. If the times table is odd, the products will alternate between odd and even.
  3. If the times table is even, the products will all be even.

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).

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

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 (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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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 .
Correct Answer: even
Q2.
Which expressions will give an odd product?
9 × 6
Correct answer: 7 × 5
Correct answer: 5 × 11
6 × 10
Correct answer: 7 × 9
Q3.
How can we find the product of 35?
Multiply two even factors together.
Correct answer: Multiply two odd factors together.
Multiply an odd factor and an even factor together.
Q4.
Which of these times tables has all even products?
Correct answer: 10 times table
5 times table
7 times table
Correct answer: 8 times table
Correct answer: 12 times table
Q5.
Which of these times tables have a pattern that results in the products alternating between odd and even?
6 times table
Correct answer: 7 times table
Correct answer: 9 times table
Correct answer: 11 times table
12 times table
Q6.
True or false. The products in the 8 times tables will always be even.
Correct answer: True
False

6 Questions

Q1.
Which of these expressions will result in an odd product?
Correct answer: 35 × 5
27 × 8
10 × 22
Correct answer: 21 × 7
Correct answer: 15 × 9
Q2.
Without calculating, will this equation produce an odd or even product? 23 × 6 =
odd
Correct answer: even
Q3.
When two odd factors are multiplied together, the product is .
Correct Answer: odd
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
Correct answer: 8 × 15
9 × 21
Correct answer: 10 × 18
Q5.
True or false. All products with 52 as one factor will be even.
Correct answer: True
False
Q6.
Jacob says, “When I multiply an odd factor by an factor, the product will be even.” Complete the missing word.
odd
Correct answer: even