Math Counts

This is a test on the Pythagorean Theorem. It assesses that students can square numbers, take the square root of numbers, and estimate between which two consecutive integers a square root falls. There is Pythagorean theorem application, including straight forward solving for a missing side of a triangle, word problems and some geometry.

This is a matching activity. Students will cut out 30 cards (15 unsimplified exponential expressions & 15 simplified exponential expressions) and match them.

This is a template for students to chart the 6 laws of exponents with integer bases only (no variable bases). Students will record the laws, practice using the laws, and answer questions about how to simplify each expression. This is a great graphic organizer for any visual learner!

Students need to explain why any base (other than zero) raised to the zero power is always 1, and why 4 raised to the -1 is 1/4, in addition to practicing simplifying exponential expressions and simplifying polynomial expressions with addition, subtraction, and distribution (no foil method).

Students must graph each system of equations, which includes a linear equation and an absolute value equation. Then, using algebra, they will solve for the point or points of intersection. Students may use a graphing calculator to confirm their answer. For any system that has no solution, students need to prove this algebraically.

Given values to substitute into the standard form equation for absolute value, y = a[abs(x-h)]+k, students solve for a missing variable.