Mathematics Estimation Advanced Algebra

Advanced Algebra In the Area of: Estimation & Computation
1	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Defend reasonableness of solutions from real world scenarios.	-Give problems with multiple algebraic solutions but 1 or 0 real-life solutions. - Discuss when rounding off is necessary, as opposed to termination of a decimal. - Introduce idea of diophantine equations where solutions must be integers (fractions will not be reasonable) and how these can be tested systematically. -Predict solutions for real world situations.	-Write an algebraic equation...then write a, "real-life," word problem to go with it and determine if algebraic solution is a, "real-life," solution. -Old articles - read, list predictions, plan and results. Discuss reasonableness.	Give students a problem where only solutions are integers. Show how answers can be tested.	-Show graphically how "discrete" graphs vary from continuous and why some models cannot be used for all problems. - Research project on diophantine equations. -Apply predictions to similar situations.	Newspapers and magazines.