Types of Numbers and Rules of Indices

In this lesson we will learn how to apply and obey index laws when multiplying numbers with powers.

In this lesson we will learn how to apply and obey index laws when dividing numbers with powers.

In this lesson we will learn how to apply index laws when raising numbers with powers to another power.

In this lesson, we will learn how to manipulate powers to change bases. We will learn how to identify when this is and is not possible.

In this lesson, we will investigate the properties of square and cube numbers. We will model what these number categories are using visual models of arrays and stacked cubes, and will pracise calculating squaring and cubing a number.

In this lesson, we will investigate the properties of square and cube roots. We will look at common terminology, symbols, and how to calculate and interpret square and cube roots of integers.

In this lesson, we will learn about using indices greater than 3. We will make sense of numbers written with an index greater than 3, and learn how to calculate the value of those numbers.

In this lesson, we will investigate higher roots of numbers. This is an extension of square and cube roots. We will make sense of numbers written with higher roots, and learn how to calculate the value of those numbers.