Big Ideas

In this unit, students explore square and cube roots using geometric and symbolic representations. They become familiar with notation such as 2 and 35. They understand the concepts of rational and irrational numbers, expressing fractions as decimals through long division. They use fractions to plot rational numbers on a number line and approximate the location of irrational numbers. Students learn two proofs of the Pythagorean Theorem, one algebraic and one geometric. They apply the theorem in two and three dimensions, determining lengths of diagonals and estimating distances in the coordinate plane.

Topics

1. Side Lengths and Area of Squares (L 1-4)

2. The Pythagorean Theorem (L 5-9)

3. Decimal Representation of Rational and Irrational Numbers (L 10-12)