Chapter 3: Squares, Square Roots, Cubes and Cube Roots Overview

Mathematics Form 1

Textbook

Chapter 1: Rational Numbers

Chapter 2: Factors and Multiples

Chapter 3: Squares, Square Roots, Cubes and Cube Roots

Chapter 4: Ratio, Rates and Proportion

Chapter 5: Algebraic Expressions

Chapter 6: Linear Equations

Chapter 7: Linear Inequalities

Chapter 8: Lines and Angles

Chapter 9: Basic Polygons

Chapter 10: Perimeter and Area

Chapter 11: Introduction to Set

Chapter 12: Data Handling

Chapter 13: The Pythagoras Theorem

Chapter 3: Squares, Square Roots, Cubes and Cube Roots

What you need to learn in this chapter

In this chapter, we will be learning about squares, square roots, cubes, and cube roots.

Squares are numbers that are multiplied by themselves, like 3 x 3 = 9. We will also learn about perfect squares, which are numbers that can be written as the product of two equal numbers, like 4 x 4 = 16. We will learn how to determine whether a number is a perfect square or not.

Next, we will learn about cubes, which are numbers that are multiplied by themselves twice, like 2 x 2 x 2 = 8. We will also learn about perfect cubes, which are numbers that can be written as the product of three equal numbers, like 3 x 3 x 3 = 27. We will learn how to determine whether a number is a perfect cube or not.

By the end of this chapter, we will be able to understand the meaning of squares, square roots, cubes, and cube roots, and determine whether a number is a perfect square or a perfect cube.

Topics in this chapter

1. Square and square root

What you will learn in this topic

Explain the meaning of squares and perfect squares
Determine whether a number is a perfect square
State the relationship between the square and the square root
Determine the square of a number with and without using technological tools.
Determine the square roots of a number without using technological tools.
Determine the square roots of a positive number using technological tools.
Estimate (i) the square of a number, (ii) the square roots of a numbe
Make generalisation about multiplication involving: (i) square roots of the same numbers, (ii) square roots of different numbers.
Pose and solve problems involving squares and square roots.

2. Cubes and cube roots

What you will learn in this topic

Explain the meaning of cubes and perfect cubes.
Determine whether a number is a perfect cube.
State the relationship between cubes and cube roots.
Determine the cube of a number with and without using technological tools.
Determine the cube root of a number without using technological tools.
Determine the cube root of a number using technological tools.
Estimate (i) the cube of a number, (ii) the cube root of a number.
Solve problems involving cubes and cube roots.
Perform computations involving addition, subtraction, multiplication, division and the combination of these operations on squares, square roots, cubes and cube roots.