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HFM BOCES Engineering Technology Program Student Enrollment Form To be completed by the Student: After completing the information below, forward this form to your High School Mathematics teacher. Student’s Name: _____________________________________________________________ Last Name First Name Middle Initial Address: ____________________________________________________________________ Street Name and Number City Zip Code Email: _______________________________________Phone number: __________________ High School: _______________________________________________ --------------------------------------------------------------------------------------------------- To be completed by one (1) High School Mathematics teacher: Please complete the following information and forward to the student’s High School Guidance Counselor. Teacher’s Name: ____________________________________________________ Teacher’s email address: ______________________________________________ How long have you known the student? ________________ (over) To be completed by High School Mathematics Teacher Ratings: Please rate this student according to the following categories: Categories No basis for evaluation Below average Average Above Excellent average (Top 10%) Academic Achievement Proficiency in subject matter Motivation Creativity Contributes to Class Discussion Peer relations Self confidence Maturity Leadership Integrity Reaction to setbacks Disciplined work habit Ability to work in teams Initiative Independence Additional Comments: In the space below (or on a separate attached sheet) you may include additional information about this student, including a description of academic and personal characteristics, affirming the student’s candidacy for the HFM BOCES Engineering Technology program. Teacher’s Signature:______________________________________________ Date:__________ As School Counselor, I have reviewed and support this student’s candidacy for participation in the Engineering Technology program. School Counselor’s Signature:______________________________________ Date:__________ MATH SKILLS TO CONSIDER Prior Knowledge Skills Applied and Needed for Success in the Engineering Technology Program: 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. Good understanding of order of operation. Ability to solve one and two variable equations. Ability to solve system of equations. Ability to solve absolute value equations. Ability to decipher and solve word problems. Multiply and divide scientific notation. Determine measures of central tendency. Read, understand and interpret graphs and charts. Factor a quadratic equation. Basic understanding of geometry, including: a. Properties of parallel lines. b. Properties of congruent angles. c. Compute perimeter, area and volume of regular shapes. d. Right angle trigonometry. e. Pythagorean Theorem. f. Deductive and inductive reasoning. g. Truth tables. Summary of Math Skills Taught and Applied in the Engineering Technology Program: 1. Algebra a. Conversion using Dimensional analysis. b. Polynomial division. c. Solving polynomial equations. d. Radicals. e. Complex and imaginary numbers. 2. Statistics a. Measures of central tendency, variation and position. b. Statistical terminology. c. Analyze data. d. Normal distribution e. Probability 3. Geometry a. Laws of Sine and Cosine b. Radian or degree measure. c. Trigonometric identities. d. Unit Circle. 4. Functions a. Quadratic Equations b. Ellipses, circles, parabolas, hyperbolas, and conics. SUPPLEMENT Math Skills aligned to Common Core State Standards Taught and Applied in the Engineering Technology Program: 1. Number and Quantity a. Calculate vectors and force using right angle trigonometry. b. Develop vector diagrams. c. Apply the laws of exponents to integer exponents. d. Construct and solve basic matrices. e. Identify and label metric units in order from smallest to largest. 2. Algebra a. Calculate margin of error. b. Convert from one unit to another using dimensional analysis. c. Convert, understand and use scientific notation. d. Multiply and divide scientific notation. e. Add, subtract, multiply and divide polynomials. f. Solve polynomial equations. g. Simplify radicals. h. Determine conjugate of a complex number and use it to simplify and solve for a variable. i. Graph a complex number. 3. Statistics a. Collect, summarize, and interpret statistical data. b. Describe a data set using measures of central tendency, variation and position. c. Know and understand basic statistical terminology. d. Analyze univariate and bivariate data. e. Know and understand characteristics of a normal distribution. 4. Geometry a. Compute perimeter, area and volume of irregular shapes. b. Use of Laws of Sine and Cosine to find missing sides and angles on non-right triangles. c. Determine measure of an angle in radian or degree measure. d. Trigonometric identities. e. Understand and use unit circle in problem solving. 5. Functions a. Evaluate a function. b. Distinguish between relation and function. c. Determine the zeros of a function. d. Solve a quadratic equation using the square root property, quadratic equation and completing the square. e. Solve and graph quadratic inequalities. f. Find the maximum and minimum of a quadratic equation. g. Graph ellipses, circles, parabolas, and hyperbolas. h. Determine the equation of a conic given its graph. i. Identify a function by its graph; (constant, linear, square, cube, square root, cube root. 6. Modeling a. Construct, interpret and solve problems using graphs of position, velocity, or acceleration versus time. b. Measure and calculate acceleration due to gravity near the surface of the earth and use this information to solve problems. c. Utilize metric units in the proper context.