describe the relationship between perfect square numbers and square roots, and use squares of numbers and square roots of perfect square numbers to solve problems

How Bloomi helps with this

This is a NAPLAN-year topic. Bloomi teaches it with a short explainer, guided practice, and NAPLAN-style questions — every one traceable to this exact code.

What this looks like in the classroom

• investigating squares of natural numbers from one to \(20\), and connecting them to visual representations such as dots arranged in a square pattern
• using the square and square root notation, and the distributive property and area diagrams to calculate the squares of two-digit numbers; for example, \(43^2=(40+3)^2=40^2+2\times40\times3+3^2=1600+240+9=1849\)
• determining between which \(2\) consecutive natural numbers the square root of a given number lies; for example, \(43\) is between the square numbers \(36\) and \(49\) so \(\sqrt{43}\) is between \(\sqrt{36}\) and \(\sqrt{49}\) and therefore between \(6\) and \(7\)