To all students entering 11th grade Math SL & HL class. In order to keep our current math skills sharp, please complete this summer review packet. Use your previous class notes and work, websites such as Khan Academy and IXL and other math reference books for guides. Please complete before the first day of school in August 2019. You will be tested on this material when you return to school. Show all work, graphs and solutions clearly on a separate sheet of paper. Your work should be numbered and organized so it is easy to read. Solutions are not provided with this packet. Have a good summer! CDS Mathematics Department
12
Embed
To all students entering 11th grade Math SL & HL class. · 2019-05-23 · To all students entering 11th grade Math SL & HL class. In order to keep our current math skills sharp, please
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
To all students entering 11th grade Math SL & HL class.
In order to keep our current math skills sharp, please complete this summer review packet. Use your previous class notes and work, websites
such as Khan Academy and IXL and other math reference books for guides. Please complete before the first day of school in August 2019. You
will be tested on this material when you return to school.
Show all work, graphs and solutions clearly on a separate sheet of paper. Your work should be numbered and organized so it is easy to read.
Solutions are not provided with this packet.
Have a good summer!
CDS Mathematics Department
Name:_________________________________
11th grade Math SL & HL Summer Packet 2019 DUE on the FIRST day of SCHOOL 2019
Index Laws https://www.khanacademy.org/math/algebra2/exponential-growth-and-decay-alg-2/equivalent-forms-of-exponential-expressions/v/simplifying-an-exponential-expression
f x( ) = ex ; g x( ) = −5ex+4 + 2 2.Graph y = log2 x − 2( ) .3.Sketchandanalyzethegraphof f x( ) = 6x −5 .Describeitsdomain,range,intercepts,andasymptotes.
1. Find the values of the six trigonometric functions for angle θ , when AC = 26 and BC = 24.
2. If g = 35.4 and F = 34° , find h. Round to the nearest tenth.
3. Find one positive and one negative angle coterminal with an angle of 166° .
4. Find the area of a sector with a central angle of 170° and a radius of 17 millimeters. Round to the
nearest tenth.
5. For a circle of radius 3 feet, find the arc length s subtended by a central angle of 21° .
6. Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (40, 9) lies on its terminal side.
7. Find the exact value of sin135° .
8. Find the exact value of cos −5π4
⎛
⎝⎜
⎞
⎠⎟ .
9. Find the reference angle for 342° .
10. Solve ΔABC if c =10, B = 35°,C = 65° .
11. Solve ΔPQR , if Q = 53°, p =14, q =14.6 .
12. Find the area of a triangle with a = 3 feet, b = 4 feet, and c = 6 feet. Round to the nearest tenth.
13. If cosθ = 47
and cscθ < 0 , find sinθ and tanθ .
14. Simplify sec x − tan xcsc x .
15. If sinθ = 725
and tanθ > 0 , find cotθ and cscθ .
16. Verify the following: 1− 2sin xcos x = sin x − cos x( )2.
17. Verify the following: sin2 x = cos2 xsec2 x − cos2 x .
18. Solve 7−6sin x = 3+ 2sin x for 0° ≤ x ≤180° .
19. Find all solutions of the equation on the interval 0, 2π⎡⎣ ) : sin2 xcos2 x − 2sin2 x = 0
VI.SEQUENCES:1. Find the next four terms of the arithmetic sequence: 46.25, 45, 43.75, … 2. Find the next term of the geometric sequence: 9, -45, 225, -1125,… 3. Find the specified nth term of the geometric sequence: a4 =10, r = 2, n = 9 . 4. Find the general term of the sequence: 17, 14, 11, 8, 5, 2, -1, -4 5. Find the general term of the sequence: 12, 18, 27, 81/2, . . .
VII.STATISTICS:1. LetU = 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18{ } , A= 2,4,9,13,14{ } ,andB = 9,10,13,18{ } .Find A∪B and A∩B .