Category Archives: Uncategorized

core competency math 11

Posted on by under Math 11, Self-Assessment, Uncategorized
Name: Katelyn Simmons Date:

 

 

 

 

How does the artifact you selected demonstrate strengths & growth in the communication competency?

 

In what ways might you further develop your communication competency?

 Self-Reflection

Describe how the artifact you selected shows your strengths & growth in specific core competencies. The prompt questions on the left – or other self-assessment activities you may have done – may guide your reflection process.

 

My unit test on quadratics and rational expressions.

I chose these two unit tests because for my quadratics test I got my well deserved A. I studied hard asked many questions and we spent quite a lot of time working on the unit. Which helped me continue my understanding to prepare for the test. For rational expressions I did not do so well as we did not have any time in class or at all to catch up with the learning which made it very hard. Next time I will go to Vandercran earlier as she helped me so much. A strength that I need to work on is asking more questions and one I did very well is that I did all my homework.

 

 

 

How does the artifact you selected demonstrate strengths & growth in the thinking competencies?

 

In what ways might you further develop your thinking competencies?

 

 

 

How does the artifact you selected demonstrate strengths & growth in the personal & social competencies?

 

In what ways might you further develop your personal & social competencies?

 

Publish Your Self Assessment

You will now attach and/or embed your self-assessment to the bottom of the blog post with the artifact you have chosen. You may choose to make this post private or public. After placing your artifact on a blog post, follow the instructions below.

  1. Categories – Self-Assessment
  2. Tags – Now tag your post using the tag that corresponds to the competency that you have written about. You can choose more than one. Please use lower case letters and be exact.
    • #creativethinkingcc
    • #communicationcc
    • #criticalthinkingcc
    • #socialresponsibilitycc
    • #personalidentitycc
    • #personalawarenesscc
  3. Use the Add Document button located at the top of your post page and embed your self-assessment at the bottom of your blog post.
  4. Publish

Precalculus11-week16-Sine law

Posted on by under Math 11, Uncategorized

Sine law. The sin law is a very useful tool for solving triangles.

The sine law works for mostly every triangle and the equation for it is: \frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}.

This means that when side a is divided by the sine of angle A, it is equal to the side b divided by the sine of angle B, which is equal to the side c divided by the sine of angle C.

Right Triangles and Trigonometry: Law of Sines and Law of Cosines

Say you had to calculate angle A, which is across from 8cm in this picture.

Remember the sine laws. \frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}. in this question we are going to ignore sin C as it will not be needed.

  1. First put in the values that we know: Sin110°/61=sinY/37
  2. we put the degree of x on top and divided by 61 which is the length across. Then we input sinY because this is the angle we are looking for, underneath we divided it by 37 as it is the length across.
  3. we start by cross multiplying 37, now the equation should look like: 37sin110°/61=sinY
  4. apply this equation into your calculator, make sure to use inverse sine then apple equation.
  5. The answer you should get is Y=34.75°, since this is an angle round it to 35°.

 

 

Precalculus11-week14-cosine law

Posted on by under Uncategorized

Similar to sine law, the cosine law states that if the length of two sides and the angle between them is known for a triangle, then we can learn the length of the third side. It helps us solve triangles that we cannot use sine law for.

The law of cosine is: a²=b²+c²-2bc cos(A) if trying to find A

b²=a²+c²-2ac cos(B) if trying to find B

c²=a²+b²-2ab cos(C) if trying to find C

How To Solve A Right Triangle For Abc : Solved Solve The Right Triangle Abc With C 90 A 22 Chegg ...

Say we were trying to find side b.

First, we input the values that we know into the equation above:

  1. b²=8²+6²-2(8)(6) cos(B)

Now, we solve for a.

2. b²=(8×8=64)+(6×6=36)-2(48) cos 90°

3. b²=100-96 cos 90°   we then we add this equation to our calculators

Our answer will end up being, b=10cm

We can also use the cosine law to find an angle.

Trigonometry Quiz - Take or Create Trigonometry Quizzes & Trivia - ProProfs

Input the values that we know to end up with: 3²=4²+5²-2(4)(5) cos(B)

  1. we first start with the exponents making it: 9=16+25-2(20) cos(B)

2. then we move 16+25 to the side with the 9: -32=-40 cos(B)

3. next we divide -32 by -40 leaving cos(B) by itself: -32/-40 =cos(B)

4. we then add it to our calculator and make sure to use inverse cosine as we are trying to find an angle.

 

Skip to toolbar