Use patterns of odd and even numbers in the times tables to solve problems
Lesson details
Learning outcome
I can use patterns of odd and even numbers in the times tables to solve problems.
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).
Teacher tip
Incorporate pattern recognition games where pupils predict products as odd or even before calculating (2 truths and 1 lie.)
Licence
Lesson video
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Prior knowledge starter quiz
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?
Q3.How can we find the product of 35?
Q4.Which of these times tables has all even products?
Q5.Which of these times tables have a pattern that results in the products alternating between odd and even?
Q6.True or false. The products in the 8 times tables will always be even.
Assessment exit quiz
6 Questions
Q1.Which of these expressions will result in an odd product?
Q2.Without calculating, will this equation produce an odd or even product? 23 × 6 =
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?
Q5.True or false. All products with 52 as one factor will be even.
Q6.Jacob says, “When I multiply an odd factor by an factor, the product will be even.” Complete the missing word.
To help you plan your 4 maths lesson on: Use patterns of odd and even numbers in the times tables to solve problems, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 4 maths lesson on: Use patterns of odd and even numbers in the times tables to solve problems, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 2 maths lessons from the 7 times table: odd and even patterns, square numbers and tests of divisibility unit, dive into the full primary maths curriculum, or learn more about lesson planning.