AC9M7N01 Year 7 Mathematics

Content descriptor 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

Elaborations

• • Elaboration investigating squares of natural numbers from one to 20, and connecting them to visual representations such as dots arranged in a square pattern
• • Elaboration 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
• • Elaboration 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
• • Elaboration 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
• • Elaboration 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