Explain where zero can be part of a multiplication or division expression and the impact it has
Lesson details
Learning outcome
I can explain where zero can be part of a multiplication or division expression and the impact it has.
Key learning points
- When zero is a factor, the product is zero.
- Zero can represent the group size or the number of groups in a multiplication context.
- In a division, zero can be the dividend but not the divisor.
Keywords
Dividend - The dividend is the number being divided.
Divisor - The divisor is a number that will divide the dividend exactly.
Quotient - The quotient is the result of the dividend being divided by the divisor.
Common misconception
Many pupils will come into the lesson believing that the value of 3 ÷ 0 is 0
Make sure that you use other examples of related multiplication and division equations to show how they can help to disprove the idea that the divisor can be used as zero. Keep them clearly displayed on the learning wall.
Teacher tip
You might want to have a discussion with the children about what zero is and give them the time to come up with some examples. Explain that it is an important number that has not always been in use.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.What is the missing number in the equation below? × 8 = 40
Q2.What is the missing number in the equation below? 8 × = 48
Q3.What is the missing number in the equation below? 15 × = 30
Q4.Tick the two equations that show that multiplication is commutative.
Q5.There are 4 bowls of 2 scoops of ice cream. Match the object with group size or number of groups.
number of groups
group size
Q6.Which part of a related division fact does the product become?
Assessment exit quiz
6 Questions
Q1.45 ÷ 9 = 5 Match the numbers in this equation to their correct labels.
dividend
divisor
quotient
Q2.Which of these equations is the related division fact for the multiplication equation 6 × 3 = 18?
Q3.What is the missing factor in this equation? × 3 = 0
Q4.What is the missing dividend in this equation? ÷ 5 = 0
Q5.True or false? If the dividend is zero, then the quotient will be zero as well.
Q6.Tick the equations that have a solution of 0
To help you plan your 4 maths lesson on: Explain where zero can be part of a multiplication or division expression and the impact it has, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 4 maths lesson on: Explain where zero can be part of a multiplication or division expression and the impact it has, 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 Understand and represent multiplicative structures unit, dive into the full primary maths curriculum, or learn more about lesson planning.