.- -
MATHEMATICS LEVEL 11
For each of the following problems.
decide which is the best of the choices given. Then blacken the corresponding
space on the answer sheet. .
de information useful in solving the
O
Notes: (l) Figures that accompany problems in t
Math HL
Section 15D and E
Objectives
Terminal Objective: The student will
review and extend their knowledge of
complex numbers.
The student will learn about root of
complex numbers
Solving z =c
n
We will examination the solutions of equation of
the form z
Mathematical Wrangle
Official Rules
The rules below broadly follow those of a
Mathematical Battle as given in Appendix A
of Mathematical Circles (Russian Experience) by
Fomin, Gengkin and Itenberg. Adaptation provided by Sam Vaudeville and Jon Ziegler. Fu
Simpson University
School of Education
ED 5430 Secondary Curriculum & Instruction (Korea)
5 Units
Dr. Paul R. Jones Jr.
Assistant Professor
Spring 2013
Saturdays @ 9:00am - 3:00pm (KST)
(530) 226-4189 (w)
(530) 227-4754 (c)
[email protected]
Office hour
Acceptable Graphing Calculators
The following graphing calculators are permitted on the SAT Subject Tests:
Casio
FX-6000 series
FX-6200 series
FX-6300 series
FX-6500 series
FX-7000 series
FX-7300 series
FX-7400 series
FX-7500 series
FX-7700 series
FX-7800
Quadratics and Transformations of graphs- Answers
1.
(a)
2
2
At the point where curves touch x + kx + k = x + 2x 4
EITHER
2
2x + (k 2) x + k + 4 = 0
A1
Since curves only touch this equation has only one solution for x
2
= b 4ac = 0
M1
2
(k 2) 4(2)(k +
Quadratics and Transformations of graphs
18 min
1.
18 marks
Consider the curves C1, C2 with equations
2
C1 : y = x + kx + k, where k 0 is a constant
2
C2 : y = x + 2x 4.
Both curves pass through the point P and the tangent at P to one of the curves is als