Overview

Grade 3 Math

Number

2. Describe and apply mental mathematics strategies for subtracting two 2-digit numerals

2.10 Square Numbers

Square Numbers and Perfect Squares

Explore square numbers, view a full perfect squares chart, and learn the simple pattern that turns any number into its perfect square.

What You'll Learn

Identify a square number as the result of multiplying an integer by itself, \( n \times n = n^2 \).

Recognize perfect squares such as \(1, 4, 9, 16, 25\) directly from a multiplication table.

Apply the pattern that consecutive square numbers differ by consecutive odd numbers.

Calculate squares mentally by splitting a number into tens and ones before multiplying.

Compare a number to nearby squares to test whether it is itself a perfect square.

What You'll Practice

Computing squares of single-digit and two-digit numbers

Solving equations involving square numbers up to 100

Identifying and calculating perfect squares

Why This Matters

Square numbers are fundamental building blocks in algebra, geometry, and beyond. You'll use them constantly when working with area calculations, the Pythagorean theorem, quadratic equations, and understanding exponents throughout your math education.

This Unit Includes

1 Video lesson

Practice exercises

Learning resources

Skills

Square Numbers

Perfect Squares

Exponents

Multiplication

Number Patterns

NS Curriculum Aligned