For our Wisconsin students and their friends. During this time of potential, unexpected school closings, keep up with your academic growth. Continue moving through your textbooks at the pace that would be normal in your classroom: read, answer discussion questions in writing, complete textbook reviews, and take chapter tests. If you run into difficulty with any of the Math material, contact Tutoring Resources through email for assistance:
tutoring.resources@yahoo.com
and type "Math 911" in the reference box. One of our tutors will get back to you ASAP.
Friday, February 18, 2011
Thursday, February 17, 2011
TAKING THE SAT?
The next SAT test is March 12. Are you preparing for it? It’s time to get started if you haven’t already.
Purchase a study manual: one that contains REAL SATs from the publishers themselves. Do NOT rely on another publisher to create an SAT-like test. Use the real McCoy so observations that you make during study will have direct application to the actual test.
1. Take a test and score it so you know where the points come from.
2. Observe the format (which is parallel to the PSAT that Juniors took in October, but is very different from the ACT that Juniors will take in April).
3. Check your pacing.
4. Determine your strategy for omissions.
Here’s an SAT tip for the Reading section. Notice where in the text you find answers to each question. Notice anything? If not, underline the statements within the text that support the correct answer. Number this highlighting with the question number. Notice it now?
As a general rule, the questions are asked in the order the answers appear in the passage. Read the first question, then read the text until you come to the answer. In most cases, you can go on to the next question and continue reading until you come to that answer. If you get to the answer for a subsequent question, you know you’ve missed the important clues. Line references help here, but in some cases you may need to know what the next question is also.
With this strategy, you are reading the entire passage while collecting points. No wasted time and a direct link to where discrete answers can be found.
Be prepared for the essays to be bone dry. Just resolve to find correct answers and don’t worry about the lack of interesting topics.
Remember to “study smarter, not just harder.”
Purchase a study manual: one that contains REAL SATs from the publishers themselves. Do NOT rely on another publisher to create an SAT-like test. Use the real McCoy so observations that you make during study will have direct application to the actual test.
1. Take a test and score it so you know where the points come from.
2. Observe the format (which is parallel to the PSAT that Juniors took in October, but is very different from the ACT that Juniors will take in April).
3. Check your pacing.
4. Determine your strategy for omissions.
Here’s an SAT tip for the Reading section. Notice where in the text you find answers to each question. Notice anything? If not, underline the statements within the text that support the correct answer. Number this highlighting with the question number. Notice it now?
As a general rule, the questions are asked in the order the answers appear in the passage. Read the first question, then read the text until you come to the answer. In most cases, you can go on to the next question and continue reading until you come to that answer. If you get to the answer for a subsequent question, you know you’ve missed the important clues. Line references help here, but in some cases you may need to know what the next question is also.
With this strategy, you are reading the entire passage while collecting points. No wasted time and a direct link to where discrete answers can be found.
Be prepared for the essays to be bone dry. Just resolve to find correct answers and don’t worry about the lack of interesting topics.
Remember to “study smarter, not just harder.”
Tuesday, February 8, 2011
LINEAR AND ANGULAR VELOCITY
Trigonometry students have this to look forward to, but those in College Algebra may be reexamining these issues right now. Although linear and angular velocity questions can be answered using Geometry concepts alone, calculating circumference and using degrees can create long solutions with lots of opportunities to make silly, little mistakes. Here are the equations you need in order to turn these problems into simple substitution work.
First, take a look at the names of these concepts: LINEAR deals with lines and is the familiar “miles per hour” measurement. In circular motion, it's the line measure we call circumference. ANGULAR deals with angles in a circle -- in common terms RPM, or revolutions per minute. Velocity, as we commonly know it, is distance divided by time.
To make things simple, we can calculate Angular Velocity first and use it to quickly find Linear Velocity.
Remember in Geometry that we calculated the arc length.
Given a radius of 4 and a central angle of 50... S = (50/360)• 4•4π = 20π/9.
From Trig, we can convert the degrees to radians:
That’s your first equation...
To find Angular Velocity, we want the central angle measured in radians, θ, divided by time. Oh, and we get a new, cute symbol that some will be calling “W,” but what is actually the Greek letter “Omega,” ω.
That’s your second equation...
If the question gives you RPM (revolutions per minute), you can convert rpm to radians by multiplying by 2π, the radians in each time around the circle. Don't forget to convert minutes if a different time measurement is requested.
So starting with the old velocity equation, substituting S (arc length) for distance, then substituting r θ for S, and finally substituting ω (omega) for θ over t , we have the final equation: Linear Velocity.
If equations are difficult for you to remember, try printing up this visual display:
Linear velocity is the outside equation; angular velocity is the inside equation.
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