PASS Senior Tutorial Review

Using the calculator to help you.

Equation Manipulations

And Griddables

Utlilize the tools at hand. . .

• We have already explained in previous meetings how your formula pages are of valuable help on the test.

• Today, we will be practicing the use of the graphing calculator you will have, for both Math and during the Science test.

• If you must take both, you will be using the same type of calculator on both, the TI-83.

Many of the problems can be hand calculated with ease…

• However, always use the calculator to double check your arithmetic.

• Making sure that you did the math correctly will increase your score.

• Remember, you have all the time you need. Doing the problem more than once will verify your answer.

momentum = mass x velocity OR p = mv

For example, suppose a bowling ball has a mass of 5.9 kg and travels at 1.88 meters in a northward direction. What is the momentum of this ball?

• Step 1: Set up the equation: p = mv

• Step 2: Insert the given information: In this problem, we know the mass of the ball (5.9 kg) and the velocity of the ball (1.88 meters/second north).

• Therefore, the equation becomes p = 5.9 kg * 1.88 m/s

• Step 3: Solve: = 11.09 kg- m/s north

1 1 0 9

Now, use the calculator and verify your multiplication, enter and grid your answer, and pay attention to the decimal.

It is easy when the equation just needs the numbers put in. . .

• But what happens if the equation is not set up to solve the problem for the variable you want?

• Can the calculator fix the equation for you?

• The good news is . . . YES!

Let’s try one together . . .

If a model rocket has a momentum of 55 kg • m/s and a speed of 75 meters/seconds what is the rocket's mass?

Again, p=mv,

55 kg.m/s = m*75 m/s

How can we use the calculator to help?

Follow step by step . . .

1. We plug in the values we know: 55 kg m/s = mass x 75 m/s

2. To put this in the calculator, use y =

y1 = 55 AND y2 = x * 75 3. Make sure all of the PLOTS

are turned off. 4. Push GRAPH. If you have an

error message, you must set the WINDOW, just larger than the y1 value, (I used 60), and press GRAPH, again.

Next, let’s calculate the answer. . . 5. Look to see the intercepts

on both lines. If not, Zoom 0 and/or Zoom 3 until you see them both.

6. Push 2nd Trace to Calculate. 7. Push 5 to get the

intersection, and Enter. 8. Look at the bottom of the

screen, it says 2nd, push Enter again it says Guess, push it again, it says Intersection!! This is your answer!

Okay, let’s try it with another problem. . .

• If a force of 2000N is used to push a 1,300 kg car, what is the rate of acceleration?

• Our equations page says F = ma or using our numbers: 2000N = 1300 * a

• Using the calculator: y1= 2000 and

Y2= 1300*x

• Graph, New Window (2005), Zoom 0, Zoom 3.

• Now Calculate, 5, enter, enter, enter. . .

• Your answer is:

1.538

This can be used with any 3 variable formula . . .

• The density of a wood block is 0.95 g/mL and it has a volume of 60 mL, what is the mass of the block?

• Again y1= .95 and y2= x/60. Push Graph.

• Can you see the x and y intercepts? If not push Zoom 0 and/or Zoom 3 until you do. Then

• Calculate, 5, enter, enter, enter. • And the answer is . . . 57 g

Try the next one on your own. Remember you may have to Zoom 0 enter and Zoom 3

enter more than once!!• At 0°C sound travels through air at a

speed of 330 m/s. If a sound wave is produced with a wavelength of 0.10 m, what is the wave’s frequency?

• What equation do you use?

• So, y1= ?

• And y2 = ?

• And the answer is?

V = frequency x wavelength330

.10 * X

3300 Hz

Now, make sure you use this technology . . .