8.NS.2

8.NS.2. Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., (pi)^2).

- Powerpoint to explore approximating Square roots of non perfect squares. Starts by determining which two whole numbers the square root is between, then which it is closer to, followed by using a graph paper to approximate each square root as a fraction. - cards to use for sorting/ordering and hanging on a clothesline in the classroom.
 * [[file:Approximating Square Roots Notes.docx]]- note sheet to accompany powerpoint- includes blank graphs to use when estimating square roots.
 * [[file:Approximating Square Roots.doc]]- extra practice page- just a worksheet with a few basic problems.

[|Irrational Numbers on the Number Line]Love this method for plotting irrational numbers (square roots of non perfect squares anyway) using a compass and graph paper! I'm sure it goes beyond what we need students to understand for 8.NS.2, but so fun anyway! Students need to understand Pythagorean Theorem to get this :)

[|Half the area of a square Task] problem and misconceptions for "draw a square that is half the area of the given square"

Explorations of approximating square roots on Desmos: [|Square Dance]