Mathematics / Year 7 / Number

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Curriculum content descriptions

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 (AC9M7N01)

Elaborations
  • 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 \(7\)
  • generating a list of perfect square numbers and describing any emerging patterns; for example, the last digit of perfect square numbers, or the difference between consecutive square numbers, and recognising the constant second difference
  • using the relationship between perfect square numbers and their square roots to determine the perimeter of a square tiled floor using square tiles; for example, an area of floor with \(144\) square tiles has a perimeter of \(48\) tile lengths
General capabilities
  • Numeracy Numeracy
ScOT terms

Perfect squares,  Square roots

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        Operations: Foundation to Year 9

        • TLF-IDA003569

        This comprehensive resource describes the progression of ideas that cover addition and subtraction of integers; multiplication and division of integers; the four operations with common and decimal fractions; and operation applications with percent, rate and ratio.

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        Number: Foundation to Year 9

        • TLF-IDA003566

        This comprehensive resource describes the progression of number-related ideas showing the relationship to other curriculum strands. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in number including teaching and cultural implications.

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