Represent a square number
Lesson details
Learning outcome
I can represent a square number.
Key learning points
- A square number of objects can be arranged into a square array.
- A square number can be represented as the product of two factors which are the same.
- When both factors have the same value, the product is called a square number.
Keywords
Square number - A square number is the result of multiplying a whole number (not a fraction) by itself.
Square array - A square array is a group of objects arranged in rows and columns where the number of rows is the same as the number of columns, making a square.
Common misconception
Pupils might think that a square number is simply any number or a number multiplied by 2
Remind children that a square number is the product of a number multiplied by itself (e.g., 4 × 4 = 16). Take time to use square arrays to demonstrate this.
Teacher tip
Use visual aids like dot arrays or tiles to physically create squares and identify square numbers. This will reinforce the understanding of a square number being a product of a number multiplied by itself.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.What calculation does this array show?
Q2.Match the sequence to the number which will go next in the sequence.
Q3.Match the parts of the sentences correctly.
Q4.Without calculating, will this equation produce an odd or even product? 24 × 8 =
Q5.True or false? The products in the 7 times tables will always be even.
Q6.When the rabbit catches the star, it becomes 7 times the size. What is the new height of the rabbit? cm
Assessment exit quiz
6 Questions
Q1.This array shows the equation 4 × 4 When both factors have the same value, the product is __________ number.
Q2.What expression does this square array show?
Q3.What is the next square number expression in this sequence, shown by the last array?
Q4.Look at this image. What does the little 2 written above the number mean?
Q5.Match the expression to the correct square number product.
Q6.Match the start and the end of the sentence correctly.
To help you plan your 4 maths lesson on: Represent a square number, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 4 maths lesson on: Represent a square number, 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.