Year 4 - Maths
Represent a square number
7 times table: odd and even patterns, square numbers and tests of divisibility
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Study Guides
This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils will represent counting in sevens as the 7-table, explaining the relationship between adjacent multiples. The unit also looks at odd and even patterns in times tables and identifies square numbers.
Lesson Summary
You will learn to represent a square number.
Key Notes
- 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.
Vocabulary To Learn
- 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 Mistakes To Avoid
- Pupils might think that a square number is simply any number or a number multiplied by 2
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
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.
2. Use this key word in a maths sentence and explain it clearly. 'Square number'
A square number is the result of multiplying a whole number (not a fraction) by itself. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils might think that a square number is simply any number or a number multiplied by 2. Correction: 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.
More Lessons In This Unit
- Explain the relationship between adjacent multiples of seven Study Guide
- Identify and use square numbers to solve problems Study Guide
- Identify patterns of odd and even numbers in the times tables Study Guide
- Represent counting in sevens as the 7 times table Study Guide
- Use divisibility rules for 2, 3, 4, 5, 6, 8 and 10 times tables to solve problems Study Guide
- Use divisibility rules for 3, 4, 6 and 8 times tables to solve problems Study Guide
- Use knowledge of the 7 times table to solve problems Study Guide
- Use known facts from the 2, 5 and 6 times tables to solve problems involving the 7 times table Study Guide
- Use patterns of odd and even numbers in the times tables to solve problems Study Guide
Browse all guides in the Year 4 Maths guide library.