Mathematics
Grade 3
15 min
Squares up to 10 x 10
Squares up to 10 x 10
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Define a square number as a number multiplied by itself.
Identify the first 10 square numbers (1, 4, 9, 16, 25, 36, 49, 64, 81, 100).
Calculate the product of any number multiplied by itself, up to 10 x 10.
Represent a square number by drawing a square array.
Explain why these products are called 'square numbers' by relating them to the shape of a square.
Solve simple word problems involving square numbers.
Have you ever noticed that a checkerboard has the same number of squares going across as it does going down? ♟️ Let's find out the special math behind that perfect shape!
In this lesson, we will learn about a special kind of multiplication: multiplying a number by itself! These are called 'square numbers,' and learning them wi...
2
Key Concepts & Vocabulary
TermDefinitionExample
FactorA number that is multiplied with another number to get a product.In 3 x 3 = 9, both 3s are factors.
ProductThe answer you get when you multiply numbers together.In 5 x 5 = 25, the product is 25.
Square NumberThe product you get when you multiply a whole number by itself.36 is a square number because it is the product of 6 x 6.
ArrayAn arrangement of objects, pictures, or numbers in equal rows and columns.A muffin tin with 3 rows and 3 columns is a 3x3 array.
SquaredA word used to say that a number is multiplied by itself.'4 squared' is another way of saying '4 times 4'.
Perfect SquareAnother name for a square number.Since 8 x 8 = 64, the number 64 is a perfect square.
3
Core Formulas
The Squaring Rule
n \times n = \text{square number}
To find the square of any number, you just multiply that number by itself. For example, to find the square of 7, you calculate 7 x 7.
The Area of a Square Formula
\text{Area} = \text{side} \times \text{side}
The space inside a square is its area. You can find it by multiplying the length of one side by itself, which always gives you a square number.
The Exponent for Squares
n^2 = n \times n
Sometimes you will see a small '2' next to a number. This is a shortcut that means 'squared,' or 'multiply the number by itself'. So, 5² means 5 x 5.
4 more steps in this tutorial
Sign up free to access the complete tutorial with worked examples and practice.
Sign Up Free to ContinueSample Practice Questions
Challenging
What is the difference between 6 squared and 5 squared?
A.11
B.1
C.10
D.61
Challenging
A square patio is made of 81 identical square stones. If the stones are arranged in a square shape, how many stones are in one row?
A.81 stones
B.40 stones
C.9 stones
D.8 stones
Challenging
Adding odd numbers in order can make a square number. For example, 1 + 3 = 4, and 4 is a square number. What square number do you get if you add 1 + 3 + 5 + 7?
A.16
B.15
C.20
D.25
Want to practice and check your answers?
Sign up to access all questions with instant feedback, explanations, and progress tracking.
Start Practicing Free