AP Calculus Exponent and Logs Tutorials

On the Friday when we get back there will be a test on this package of work.  Not a hard test, but a test to ensure that you know the rules of exponents and logarithms.  The following Monday we will be jumping right into the Derivative, Anti-derivative and applications so it is necessary that you are familiar with this stuff.  It isn't hard and it makes perfect sense... except maybe the natural log ,e, for now you don't need to understand it as long as you can use it! So please take a look at it and come prepared to ask questions when you get back in order to be prepared for the test.  Have a good holidays...and sorry!  Mr. B

Here the link to the package of practice exercises for those that didn't get the package..damn you paperas!!                             

Here is a link to the Khan Academy videos about Logs

Here is a link to the Khan Academy videos for Exponents

These are good notes about Exponents and Logs

Here are a butt-load of other videos explaining logarithms

Here are some more videos from youtube

Grade Ten Bellwork Test Review

Here is the link to the non-word problems

Here is the link to the word problems

AP Calculus Review for Semester Exam

Here is the link to all of the potential Related Rate problems that could be on the semester final...even the ones that lazy Raul and Merchán did not do!!!

Grade Twelve Semester Exam Review

Here is the link to the review for the Semester.

Grade Ten T3 - W3 Functions Test Review

Here is the link to the review for the test.

Grade Ten Semester Exam Review

Here is a link to the review for the semester exam

Grade 12 T3 - W1 Solving Trig Equations

Here is a link to solving Trigonometric Equations in case you lost your copy

Grade Ten T3 - W3 Evaluation Combinations of functions at given values

Here is the practise to Combining and Evaluating Functions at values

Grade Ten T3 - W2 Combining Functions

Here is the link to practice combing functions...quiz tomorrow

Grade 12 T3 - Unit Circle Practice sets

Here is the practice for sin, cos and tan
Here is practice for cot, sec and csc
Here is practice for pi/2, pi, 3pi/2 and 0 or 2pi


Remember, you will not be allowed calculators or prepared charts of the circles.  When you arrive I will give you a paper to make your circles and that is all you will have to help... and your awesome juicy brains of course:)  Good luck!
Here is a review for the test tomorrow...as always it is twice as long!

Grade 10 T3 - W1 Evaluating Functions

Here is the link to Evaluation Functions

Grade Ten T2 - W3 Review for finding zeros of higher order polynomials

Here is the review...please study and do awesome tomorrow xoxo

Grade Ten T2 - W2 Zeros for trickier higher order polynomials

Here is the link to finding zeros for higher order polynomials...practice for the quiz tomorrow!

AP Calculus T2 - U substitution for definite and indefinte Integrals

Here is the link to U substitution for Indefinite Integrals

Here is the link to U substitution for Definite Integrals

Grade Ten T2 - W1 finding zeros for higher order polynomials

Here is the link to today's work

Grade Twelve T1 - W5 Review for Conics Test

Here is the link to the review for tomorrow's test...please study!

Grade Ten T1 - W7 More review for the test

More review for tomorrow's test!!! have fun

Grade Ten T1 - W6 Review for Factoring Higher Order Polynomials Test

Here is a link for the practice for our test next Wednesday...please practice a little bit every night!

Grade Ten T1 - W5 All techniques for factoring higher order polynomials

Here is some more practice for tomorrow's quiz!

AP Calculus Test 1 Review of Integrals

Here is the link Ma Paula!

AP Calculus Related Rates Package and Questions Assignment

Here is the link to let you know which questions you need to do, and when they are due.

Here is the link to the package of questions...including the answers

Grade Ten T1 -W4 Combining the three methods of factoring

Here is the link to practice for the quiz we will be having on the three new methods for factoring

Grade Twelve T1 - W4 Writing equations for Hyperbolas when given properites

Don't forget the quiz on Thursday is about both lessons on Hyperbolas!!!

Here is the link to practice for writing equations of parabolas.

Here is the link to the practice from Monday's lesson...it is also on the quiz!

Grade Ten T1 - W3 Factoring Higher Order Polynomials in Quadratic Form

Here is the link for factoring Higher Order polynomials in Quadratic form

AP Calculus T1 - W3 More Trig practice

I made another worksheet to practice the trig...have fun!

Grade Ten T1 - W2 Difference and Sum of Cubes

Here is a link to the practice factoring Sum and Difference of Cubes

Here is a link to a video that can help remind you how to do these problems.

This video might help too...

Grade Twelve T1 - W3 Properties of Hyperbola

Here is the link to the practice for properties of Hyperbola

AP Calculus T1 - W3 Definite Integrals

Here is the link to practice for the Definite Intergrals

We are having a small four question quiz on Monday about the first two sets of problems: from 1 -20...be ready please!

Your Reimann Sums assignment (which counts toward a test grade) are due on Tuesday.

Also Tuesday we will have a quiz on the rest of the problems from the set in the post... including the Trigonometry!!!

AP Calculus Area under a curve video

Here is a Khan Academy video about finding the area under a curve, watch it and get an idea of what we will be doing Thursday in class.

T1 - W1 Factor by grouping

Here is a link to factoring by grouping

AP Calculus: Link for on-line quizzes

Here is the link to the site for taking the quizzes

Grade Twelve T1 - W1 Properties of Ellipses

Here is the link to some practise for the quiz on Friday about Ellipses...please do a few exercises!

AP Calculus T1 -W1 Indefinite Integrals

Here is the link to Indefinite Integrals...there will be a quiz on Tuesday so be prepared. Also don't forget to do the on-line quiz.

Grade Ten... more review

Here is the link to another set of practice for the test on Tuesday!

Grade Twelve Test Four Review - Properties and Equations of circles

Here is the link to the review for tomorrow's test...have fun!

AP Calculus Weblinks to study for tomorrow´s awesome Test!

Remember that we are only looking at AB section 1 multiple choice.  I took the test DIRECTLY from these sets of questions, and almost all of these we have done as bellwork over the course of the quarter... hopefully you were paying attention and participating!  See you tomorrow...xoxo Mr. B

http://online.math.uh.edu/apcalculus/exams/

http://online.math.uh.edu/apcalculus/2008_Exams/index.htm

Grade Ten Test Four - Quadratics Unit Test

Here is the link to the Unit test we will be having on Friday...get started!

Grade Ten Bellwork Test Review

Here is a link to the same questions but will be much easier to read. Have fun!

Right Angle Trigonometry Word Problems

For each problem, draw a sketch of the situation, write the equation to solve the problem and then give the answer.

1.     A 10 meter ladder is leaning against a building. The bottom of the ladder is 5 meters from the building. How many meters high is the top of the ladder? Round to the nearest tenth. 10 meters

2.    A dog pen is in the shape of a right triangle. The longer leg measures 15 feet. The hypotenuse is 7 feet shorter than three times the length of the shorter leg. How long is the shorter leg? 8 ft

3.    A guy wire reaches from the top of a 39.32 ft pole to a point on the ground 15 feet from the pole. Find the length of the wire and the angle it forms with the ground. 42.ft and 69.12 degrees

4.    A man on a 135-ft vertical cliff looks down at an angle of 16 degrees and sees his friend. How far away is the man from his friend? How far is the friend from the base of the cliff? Man-friend 489.8  Cliff-friend 470.8

5.    A road up a hill makes an angle of 5.1 with the horizontal. If the road from the bottom of the hill to the top of the hill is 2.5 miles long, how high is the hill? 0.22 miles

6.    A ladder leans against the side of a building. The base of the ladder is 5 meters from the building, and the top is 12 meters above the ground. What is the length of the ladder and what angle does it form with the ground? 67.4 degrees, 13 meters

7.    A ski resort is installing tows on its new ski runs. One hill has a vertical height of 500m and is inclined at 42 degrees. Determine the approximate length of the T-Bar cable if it goes to the top of the hill and returns?

1494.48 meters

8.    From a point 12 m from the base of a flagpole the angle of elevation to the top of the pole is 42 degrees. How tall is the flagpole? 10.8 meters

9.    A building is 50 feet high. At a distance away from the building, an observer notices that the angle of elevation to the top of the building is 41º. How far is the observer from the base of the building? 57.5 feet

10. An airplane is flying at a height of 2 miles above the ground. The distance along the ground from the airplane to the airport is 5 miles. What is the angle of depression from the airplane to the airport? 21.8 degrees

11.  John wants to measure the height of a tree. He walks exactly 100 feet from the base of the tree and looks up. The angle from the ground to the top of the tree is 33º. How tall is the tree? 64.94 feet

12. A bird sits on top of a lamppost. The angle of depression from the bird to the feet of an observer standing away from the lamppost is 35 degrees. The distance from the bird to the observer is 25 meters. How tall is the lamppost? 14.3 meters

13. Looking down from the roof of a house at an angle of 23º (angle of depression) a shiny object is seen. The roof of the house is 32 feet above the ground. How far is the shiny object from the house? 75.39 feet

14. A tree casts a 60 foot shadow. The angle of elevation is 30º. This is the angle at which you look up to the top of the tree from the ground. What is the height of the tree? 34.6 feet

15. A lamp post is 10 feet tall and casts a shadow. The distance from the top of the lamp post to the tip of the shadow is 20 feet. What is the angle of elevation at the tip of the shadow on the ground? 30 degrees

16. An observer on top of a 60-foot tall lighthouse sees a boat in distress at a 5º angle of depression. How far is the boat from the base of the lighthouse? 685.8 feet

17. A tree casts a shadow 70 feet long at an angle of elevation of 30º. How tall is the tree? 40.41 feet

18. You are looking up at a fourth story window, 40 feet up in a building. You are 100 feet away from the building, across the street. What is the angle of elevation from you to the window? 21.89 degrees

19. A little kid is flying a kite. The string of the kite makes an angle of 30 degrease with the ground. If the height of the kite is 12 ft, find the length of the string that the boy has used? 24 feet

20.You are at a live performance and you are in the balcony. You are looking down at the stage at an angle of 40 degrees, if you at floor level under the balcony you would be 20 ft away from the stage. How high up is the balcony?

16.8 feet

21.  I am standing a point A on one side of a river and wish to measure the distance across the river to the corner of a house (H) on the other side.  While facing the house, I turn 90 degrees, I walk exactly 50 feet.  I now measure the angle from where I was to the corner of the house to be 18.23 degrees.  How far it is across the river from point A to the corner of the house? 16.47

22. A guy-wire must be attached to a 80 foot pole.  The angle that the guy-wire must make with the ground has to be 75.5 degrees.  Find the length of the wire required to make this work? 82.6 feet

23.  A device for measuring the cloud height at night uses a vertical beam of light that makes a spot on the clouds.  The spot is viewed from a point 140 feet along the ground and the angle of elevation is 64.4 degrees.  What is the height of the cloud? 292.20 feet

24.  While standing on a cliff 161 feet above the ocean, I see a sailboat in the distance at an angle of depression of 21.2 degrees.  What is the horizontal distance to the sailboat? 415.1 feet

25.  A wire holding up a 40 foot telephone pole is 48 feet long.  The wire is attached to the pole 10.5 feet below the top.  What is the angle of elevation of the wire? 37.9 degrees

26.  From a window in building A, I observe the top of building B across the 50 foot wide street at an angle of elevation of 74.25 degrees.  I also observe the base of the building at an angle of depression of 52.18 degrees.  What is the height of the building (hint: you will need to do two calculations and add them) 241.7 feet

Grade Ten T4 - W4

Here is the link to T4 - W5 Factoring then graphing to verify the zeros

Grade 12 T4 - W2 Writing equations for circles

This is the same link as yesterday...now focus on the second part questions 33-56

Grade Ten T4 - W4 Graphing parabolas given in Standard form when a does not eqaul 1

Here is some practice about graphing parabolas given in standard form

Grade Twelve T4 - W1, W2 and W3

Here is the link for the exercises on Cirlces

Grade Ten T4-W3 Graphing parapola in vertex form when a is not 1

Here is some practice for tomorrow's quiz

AP Calculus Graphical comparison of f and f'

Here is the link to comparing graphs of f and f'

Grade 12 T3 - W4 Review for test about writing equations for parabolas

Here is the link to study for the test on Thursday...have fun!

Grade Ten T4 - W2 Graphing parabolas when the quadratic is given in standard form

Here is the link to the practice for graphing parabolas when the quadratic is given in standard form

Grade Ten T3 - W4 Review for Factoring Test on Monday

Here is the link to review for solving quadratic equations by factoring

Grade Twelve T3 - W2 Writing equations of parabolas given vertex and an intercept

Here is the link to T3 - W2 Writing equations of parabolas given vertex and an intercept

Grade Ten T3 - W3 Solving Quadratics by factoring when a is not 1

Here is the link to the practice for Solving Quadratics by factoring when a is not 1

Grade Ten T3 - W2 Factoring to solve quadratic equations: Common Factors

Here is the link to T3 - W2 Factoring Quadratic equations with common terms

Grade Twelve Math T3 - W1 Writing equations for parabolas, given vertex and point

Here is the link to practice writing equations for parabolas when given the vertex and a point

AP Calculus T4 - Particle Motion

This is the real link to the Particle Motion stuff...I suck!

AP Calculus T3 - W1 Properties of Functions

Here is the practice for T3 - W1 Properties of Functions

Grade Ten T3 - W1 Solving Quadratics by Factoring when a = 1

Here is the practice for T3 - W1 , factoring quadratics when a = 1

Grade Twelve Math : W3, W4 and W5 - Test Review

This is the link to T2 - W3 Completing the square to write the quadratic in vertex form (y=)

This is the link to T2 - W4 Completing the square to write the quadratic in vertex form (x=)

This is the link to the T2 - W5 Test Review

Grade Ten T2-W6 Solving disorganized Quadratics

Here is the link to T2 - W6 solving disorganized Quadratics

T2 - W5 Using the Quadratic Formula to solve for the zeros

Here is the link to the exercises about using the Quadratic Formulas

AP Calculus T2 - W1 Implicit Differentiation

Here is the link to the worksheet on Implicit Differentiation with the answers

Grade Ten T2 - W4 Completing the Square when "a" is not "1"

Here is the link to todays topic...completing the square when "a" is not "1"...no quiz tomorrow but it wouldn't hurt to practice!

Grade 10: T2- W3 Completing the Square Lesson One

Here is the link to the practice for today's lesson.

Grade Twelve T2-W1 Parabolas: Identifying characteristics and graphing

These are different than the ones I posted yesterday...sorry for the confusion...yesterday's would have been difficult to graph with the vertex having points with fractions.

Here is the link to Test 2 - Work 1 Parabolas

AP Calculus T2 - W2 Related Rates

Here is the link for the related rates questions with the answers

Grade Ten T2 - W2 Rationalizing the Denominator

Here is the link to T2 - W2 Rationalizing the Denominator

Here is a link to a youtube video about Rationalizing the Denominator...check out part two aswell

Grade Ten: T2 - W1

Here is the link to T2 - W1

Grade Ten: T1 - W1 Review of last year's topics

Here is the link to the practice for the first test

Math 12 Calculus: T1 - W1 Review of last year

Here is the link to the review package with the answers

Here is a youtube video about using the Law of Sines in case you forgot.

Here is a youtube video about the law of Cosines

AP Calculus: T1 - W1 Review of Calculus

Here is the link to the practice I gave you in class for the upcoming review test...have fun!