Mathematics Geometry and Measurement Advanced Algebra

Advanced Algebra In the Area of: Geometry & Measurement
1	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Develop complex graphs and tables to interpret expressions, equations, and inequalities.	-Instruct in methods of graphing calculator to use tables, plotting from tables, shading. -Develop graphs to interpret data on election.	-Use graphing calculator extensively in class setting to plot data, explain conclusions based on graphs. -Track and graph results to interpret local predictions in elections.	-Test with use of graphing calculator. -Predictions and results.	Be able to provide reasonable "test points" to check solutions.
Advanced Algebra In the Area of: Geometry & Measurement
2	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Analyze linear & nonlinear relationships using tables, rules, equations, and graphs.	-Instruct in use of "regression equations" in graphing calculator to form equations. -Introduce, where all appear and how to use.	-Create chart of years and speeds of Indy 500. Use to project future times. -Examine exponential functions through CBL exp. light at a distance and cool it. -Explore decay functions by experiment. -Develop concepts of a, b, c in quad functions. - Do paper folding to get the parabola, ellipse, hyperbola.	- Poster/chart. - Substantiate conclusions with algebraic work.	Research history of Indy 500.	-Activity Mastery Workbook... (Alg.2) - Merrill. - Project on Indy 500, p. 20. -Real World - T1. -Decaying M&M's experiment from More Than Graphs Key Curriculum. -NCTM Activity 1993. -Self.
Advanced Algebra In the Area of: Geometry & Measurement
3	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Interpret, assess 3-D objects.	-Use 3D xyz plane in class. - Use 3D conic sections in class. -Assess 3-D objects.	-Create poster/charts for properties of conics...how they are created. -Create 3-D ornament.	-Oral presentation to class. -Final ornament.	Create own 3-D model showing how conics are formed by cutting 2 inverse cones.
Advanced Algebra In the Area of: Geometry & Measurement
4	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Demonstrate, apply properties of figures using coordinates, transformations.	Develop formulas from geometric approach (points) (mid-point, Pythagorean Theorem, distance, slope, etc.).
Advanced Algebra In the Area of: Geometry & Measurement
5	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Demonstrate use of conic sections and graphs with graphing calculator, computer.	-Teach how to input y,=_____ y2 = -y1 so entire conic can be graphed. -Present equations and characteristics of conic sections.	-Use Green Glob programs. -Explain, "real life," for conic sections - architecture, conic beams, etc. -Use CBL and graphing calculator to do Swinging Ellipses experiment. -Construct families of parabola. -Construct families of ellipses. -Construct families of hyperbolas.	Record scores from computer lab activities.	-Explain why certain conics graphs are not, "connected." -Learn to distinguish between conic sections.	-Green Glob computer program. -1 and 2 real life experiment with CBL. -3 and 4 NCTM Activities (1981-1995)
Advanced Algebra In the Area of: Geometry & Measurement
6	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Determine, interpret maximum and minimum points of a graph in real situations.	-Instruct in use of graphing calculator getting "good viewing window." -Share methods on graphing calculator to find such information.	-Use given equations to plot on graphing calculator, get a good window, answer questions about situations. -Use graphing calculators and tables therein to find relative maximum and minimum of volume and area problems.	- Be able to interpret data from graph.Explain what kinds of situations produce minimum or maximum values. - Write/graph quadratic fen based on word problems.	Create own "real-life" problems and equations (hard to do).	-Lots of recent books have good, "real life," modeling examples of parabolas, e.g. bridge spans, economic trends, projectile paths. -Self.
Advanced Algebra In the Area of: Geometry & Measurement
7	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Analyze graphs of polynomial, rational, radical, and transcendental functions.	-Instruct in use of graphing calculator functions which locate zeros, relative minimum and maximum, etc. -Introduce concepts of asymptotes and how appear on graphs and what they mean.	Do exercises to get equations of already graphed higher order functions. Use, "Survivor," sheets &emdash; self-made version of Green Globs.		Create examples of functions by hand as well as with graphing calculator.	NCTM Addendum and self-made.