A perfect square is the same as a square number.

A perfect cube is the same as a cube number.

A square number is the product of two repeated integers.

A cube number is the product of three repeated integers.

Square and cube roots

Maths

Checking understanding of factors, multiples, squares and cubes

Securing understanding of factors, multiples, squares and cubes

Listing multiples

Divisibility tests for 2 and 3

Divisibility tests for 6 and 9

Divisibility tests for 5 and 10

Divisibility tests for 4 and 8

Square and cube numbers

Power notation

Powers and roots using a calculator

Listing factors

Checking understanding of prime numbers

Expressing an integer as a product of its prime factors

Calculating integers from their prime factor expressions

Highest common factor

Lowest common multiple

HCF or LCM

Problem solving with factors, multiples, squares and cubes

This unit on factors, multiples, squares and cubes helps pupils build on their understanding that any positive integer can be expressed as a product of its factors. This skill is used in the next unit to explore multiplying and dividing with decimals.

In this unit, pupils learnt how to identify common factors and common multiples. in this unit, pupils build on this understanding to find the LCM and HCF

In this unit pupils develop their understanding of factors and multiples, then extend this knowledge to learn general divisibility tests for integers and develop strategies to determine the highest common factor and lowest common multiple of two or more integers.

Properties of number: factors, multiples, squares and cubes

An array is a perfect square and has 256 dots. What is the row and column length of the array?

Match each calculation to its correct answer.

Find the closest integer to $$\sqrt{40}$$

Find the closest integer to $$\sqrt[3]{1600}$$

Which of the following are square numbers?

Match the descriptions to the correct list of numbers.

Which of the following is a perfect square?

Work out the sum of the square of 4 and the cube of 4

Jun says, "There are only 2 square numbers which are also cube numbers: 1 & 64."

Aisha says, "There are no square numbers which are also cube numbers."

Jacob says, "Every number is a square number and cube number."

Sam says, "There's an infinite number of square numbers that are cube numbers."

Some students are talking about square numbers. Who is correct?

Square and cube roots

Lesson outcome