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Week 18 – My TOP 5 things from PC 11

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This is my last blog post for Precal 11 and I will be going over my top 5 things from Precalc 11.

  1. Factoring Trinomials. This was one of my favourite parts of PC11 because I found it super easy to understand the concept, especially since I can think of factors quickly.
  2. Sine Law. This topic was extremely easy to understand because it only needed 3 pieces of info out of 4 and it works with more complex triangles that are not 90-degree triangles.
  3. Quadratic Formula. The quadratic formula was really annoying to remember in the beginning but after you have it memorized you can find answers that factoring can’t. The discriminant will also tell you how many solutions the equation has.
  4. Vertex Form. This formula was really easy to use and remember. Once you understand what each letter/number means. It made it really easy to graph it out. Once you learn how the stretch value works, it makes graphing so easy.
  5. Multiplying/Dividing Fractions with Nomials. This topic was easy to understand and helped a lot especially when they are trinomials that can be factored and cancelled out.

Week 11 in Precalc 11 – Linear Inequalities

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This week in Precalc 11, I learned about linear inequalities with the formula y=mx+b

We know that “m” represents the slope of the line and that “b” represents the y-intercept.

So for the symbols of equalities we need to know that (>) is the symbol for greather than, (<) is the symbol for less than, (≥) is the symbol for greater or equal to, (≤) is the symbol for less than or equal to. Let’s take a look at some equations using the formula y=mx+b while using the symbols.

We’re going to use the same base equation so that we can analyze the differences easily

Let’s start with our base line which is y=2x+3

Slope of 2 and y-intercept of 3

As we can see the shaded area is our solutions for our y-intercept.The solutions(shaded area) is under the line because the solutions are less than the line (2x+3). We can see that the line is dotted since the solutions of y do not include the points on the line.

But when we change the symbol to less than or equal to, the line becomes solid because y can equal the coordinates of the line.

The same concept applies to the opposite symbols. We can see that for y is bigger, the area that is shaded is above the line. And again, the line is dotted as y cannot equal the coordinates of the line.

The same thing applies for this as well. The line becomes solid as the solutions can equal the coordinates of the line.

 

Currents from the kitchen

Daniel on

Pre-Lab:

Purpose: Which fruit will produce the most electric voltage?

Hypothesis: When I attach a galvanized nail and a copper strip to a lemon, the greatest voltage will be produced.

Lemon slice image beautiful picture of limón images citrus № 40764 | torange.biz ~ free pics on cc-by license

Materials: Fruits, Voltmeter, 2 wires, 2 different metals (Copper/Zine), knife

Procedure:

  1. Cut the piece of fruit
  2. Put in 2 pieces of metal
  3. Attach to the voltmeter using 2 wires
  4. Record the results
  5. Compare results from several pieces of fruit

Why?: The lemon will produce the greatest voltage because it is extremely acidic.

Our Results!

Lemon:

  1. 0.9v
  2. 0.85v

Banana:

  1. 0.5v
  2. 0.79v

Potato:

  1. 0.7v
  2. 0.8v

 

Observations:

  1. None of the voltages passed 1 volt.
  2. The voltage was higher when we put the positive and negative terminals closer together in the fruit.
  3. The voltage doesn’t get higher when you poke the metals through all 3 fruits.

Conclusion:

In conclusion, me and my group found out that the lemon produced the highest amount of voltage of 0.9. We did 2 tests and used the highest number to compare all the fruits. We also put the metals farther apart for the first test and close to each other for the second test. As a class, we all found different voltages for the same types of fruits and most of us also agreed that the lemons produced the most voltage. My hypothesis was correct that the lemon would produce the highest amount of voltage.

Questions

What is causing electrons to flow?

The fruits/vegetables have electrolytes that allow the electrons in the metals to flow.

Independent variable: Types of fruits

Dependent Variable: The voltages

Controlled Variable: The cables

How can we modify our experiment to improve our results?

We can have at least 2 groups doing the same 3 fruits and having the metals put in around the same distance apart. That can improve our results. Another thing we can try is having one group put the metals close and one group put them farther apart and take the voltage in between the 2.

What could be sources of error or uncertainty in our experiment?

Sources of error or uncertainty in our experiment could be not having the metal stuck deep enough into the fruit and the metal being moved, causing a varying voltage.

How can I use this in my everyday life?

I don’t think I would be able to use this in my everyday life but I learned the concept of electrons and the reaction between the metals and the electrolytes in the fruits.