(Numbers and Operations > Operations with Rationals > Powers and Roots)
In the new document Estimating Square Roots, students begin by exploring the relationship between the length of one side of a square and the area of the square to establish the meaning of square root. This is accomplished using models, tables, and interactive objects; with students building perfect squares when given the length of one side of the square.
Students are then guided to finding the perfect square numbers that a given non-perfect square number lies between, leading them to the whole numbers that the square root of this number lies between.
From there, students progress to estimate the square root of a number to the nearest whole, and finally to the nearest tenth.
You may notice that the calculator function is disabled on most pages in this document. Only numbers up to 100 are used, so students should have little difficulty finding square roots of the perfect squares. This enables them to focus on the process of estimating the square roots of non-perfect squares.