Course title

MAT

Pre-requisite

Algebra II, Engineering Science (2 years)

Course description

This course is an expansion of the Algebra II curriculum; created to meet the graduation requirements for the 4th year of math. Students will use math to solve hands-on project-based exercises. This course is co-taught with the applied tech department to provide students with the opportunity to build mathematical based projects that they will design; test; and evaluate according to mathematical reasoning. Students will be actively engaged in learning probability; statistics; trigonometry; physics; and advanced algebra to solve interactive group based activities.

Unit 1 (2 wks)
Introduction :
• Procedures
• Team & Community Building
• Math Review
• Data Recording & Graphing
• Convert between radical and exponential forms of expressions
• Solve problems by estimating and computing
• Graph the solution set of a system of inequalities to determine if an ordered pair is in the solution set
Math Standard: 1.1; 2.1; 4.3
Engineering Science Standards: 1.0; 7.0; 8.0

Unit 2 (5 wks)
Linear Propulsion & Statistics :
• Estimation of speed and acceleration and acceptable error tolerance limits
• Draw a scatterplot and determine correlation between friction and acceleration and other attributes
• Estimate the probability of specific results and predict outcomes using data from tested variables
• Test and graph results and identify characteristics of their mathematical functions
• Analyze and describe how friction; weight; or wind resistance affects speed and acceleration
• Continuously evaluate test data for reasonableness and interpret if the result is valid to the context of the project
Math Standard : 1.3; 2.1; 2.2; 3.2; 3.4; 5.2
Engineering Science Standards: 2.0; 3.0; 4.0; 5.0; 6.0

Unit 3 (6 wks)
Physics of Flight and Ballistic Motion:
• Estimate altitude and acceptable error tolerance limits
• Record data and graph results for statistical analysis
• Using the principle characteristics of the normal distribution; estimate flight path and landing zone
• Generate graphs and determine the key variables that affect force and acceleration
• Compare relative magnitudes of independent data and how it affects functions and their rates of change
• Apply the law of cosines and sines to determine altitude and flight path
• Describe how changing the size; shape; weight; or engine affects the results and graph data
• Continuously evaluate test data for reasonableness and interpret if the result is valid to the context of the project
Math Standard : 1.3; 2.1; 2.2; 3.2; 3.4; 4.1; 4.2; 5.2
Engineering Science Standards: 2.0; 3.0; 4.0; 5.0; 6.0

Unit 4 (5 wks)
Trigonometry Through Light Reflections
• Perform computations using Pythagorean theorem
• Identify pattern’s in a function’s
rate of change
• Use trigonometry by applying the law of cosines and sines to determine magnitude and angles of a triangle
• Analyze and explain the results
and evaluate if the functions behave properly
Math Standard: 1.2; 3.4; 4.1; 5.2
Engineering Science Standards: 2.0; 3.0; 4.0; 5.0; 6.0

Unit 5 (7 wks)
Force Displacement Analysis:
• Rewrite algebraic expressions and describe how they can express force; buoyancy; and displacement
• Analyze and describe how change in balance and weight distribution leads to change in force and displacement
• Use a variety of approaches to analyze algorithms
• Summarize and communicate mathematical results using graphs; data; and specific examples
Math Standard: 3.3; 3.4; 5.1; 5.2
Engineering Science Standards: 2.0; 3.0; 4.0; 5.0; 6.0

Unit 6 (13 wks)
Kinetic Energy Motion:
• Estimation and acceptable error tolerance limits of distance and velocity
• Use matrices to organize and represent test data
Apply probability concepts to calculate the expected distance and spread of results to make informed decisions in practical situations

Unit 6 (continued)
• Express and solve problems like Vx; Vy; and Vt that can be modeled with exponential and quadratic functions
• Describe the energy loss when variables relationships are changed in an equation
• Identify pattern’s based on measured variables in the projects output results and how it affects velocity; distance; and total energy
• Use trig identities to problems about height and velocity
• Describe how changing individual parameters of the design affects the shape of the graph results
• Synthesize mathematical info from multiple sources to draw a conclusion and recognize design flaws that result in invalid data
Math Standard: 1.3; 2.1; 2.2; 3.2; 3.3; 3.4; 4.1; 4.2; 5.2
Engineering Science Standards: 2.0; 3.0; 4.0; 5.0; 6.0

School Country

United States

School state

Arizona

School city

Glendale

School Address

7650 N. 43rd Ave

School zip code

85301

Date submitted

11/8/2011

Approved

Yes

Approved competency code

• MTHA
• 4 years of Math

Approved date

01/19/2012

Online / Virtual

No