Mathematics Number Sense Advanced Algebra

Advanced Algebra In the Area of: Number Sense & Number Systems
1	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Use, apply concepts of irrational numbers.	Review or introduce concept and place of irrational numbers.	Explore concepts of irrational numbers on graphing calculator.			-More Than Graphs. - Key Curriculum.
Advanced Algebra In the Area of: Number Sense & Number Systems
2	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Demonstrate understanding of operations & properties of functions.	-Explain process of evaluation composition domain, range addition/subtraction -Sketch and interpret graphs arising from situations presented verbally and pictorially.	-Create "function machines" which allow one to change a "rule", input a value, and get a value output. -Solve Set A Problem Set by sketching and identifying functions.	Allow students to pick own numbers to put in "machine." They determine output. Class "creates" own quiz.	-Create a "composition function machine." - Be able to create "inverse" function machines so compose is x. -Solve Set B Problem Set.	-Language of Functions, Shell Centre of Math Education.
Advanced Algebra In the Area of: Number Sense & Number Systems
3	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Develop, use, vectors to represent direction and magnitude.	Use polar and parametric equations to define, graph, and solve problem situations.
Advanced Algebra In the Area of: Number Sense & Number Systems
4	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Describe, develop, solve algebraic situations with matrices.	-Specify uses of rows vs. columns and their meaning. -Introduce quadratic functions.	-Collect samples of information organized in "grid" fashion and learn how to apply operations on real-life problems. -Use the CBL and 83 to do a ball bounce experiment and fit a quadratic thru a) guess & check; b) matrice solutions; c) regressions from calculator. -Use CBL and calculators What Goes Up experiment to get equations. Then solve.	Create problems and solutions using matrices... inventories pizza choices sports	Learn methods for determining quadratic equation.	-Algebra-The Easy Way -Barren's Chapter 17 -Real World CBL Experiments
Advanced Algebra In the Area of: Number Sense & Number Systems
5	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Describe and use the inverse relationship between functions, including exponential & logarithmic.	- Explain difference between, "generational," chart (exponents) and, "tournament elimination," chart (logarithms). - Use graphing calculator to graph both and see inverse relationship.	- Skeeter are Overrunning the World, modeling activity... Simms Project. - Create graphs (amazingly similar).		Vary populations.	Use the TI-83 to show the function and its inverse - and the relationship to y=x.
Advanced Algebra In the Area of: Number Sense & Number Systems
6	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Apply to other areas the foundations of: limit, rate of change, slope of a tangent, area under a curve.	-Use "rate of change" terminology in linear slope problems. - Limit-teach meaning of asymptotes in graphs of rational fens and hyperbolas. -Introduce concept of limits through graph and sequence/series.	-Be able to find slopes by using points, looking at graphs. - Graph rational fens (self and with calculator). - Graph hyperbolas and find slopes of asymptotes. -CBL experiment - Walk This Way.		- Be able to fully explain idea of "steepness" and how/when steepness reaches its limits.Explain how TI-83 shows a graph approaching a limit. - Real World Experiments - CBL.