All posts by jessicap2015

Grade 10, Math 10

Math 10 Week 7

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This weeks goal is to teach you how to solve an angle and side lengths in the Trigonometry Unit.

Vocabulary:

SOH: S = \frac{O}{H} or Sine = \frac{Opposite}{Hypotenuse} 

CAH: C = \frac{A}{H} or Cosine = \frac{Adjacent}{Hypotenuse}

TOA: = \frac{O}{A} or Tangent = \frac{Opposite}{Adjacent}

 

i) Question One: What is the Angle of JEP to the nearest degree? (How to find an angle knowing two side lengths)

Step 1: Label the triangle 

*According to the reference angle

  1. Across from the reference angle is called the opposite side (O)
  2. Across from the 90^o angle is the hypotenuse (H)
  3. And the left over side is the adjacent side (A)

 

 

 

 

 

 

 

Step 2: Determine which ratio to use

Use the clues from the triangle. We will be using Cosine because we have the clues from the Adjacent and hypotenuse sides. (CAH)

 

 

 

 

 

 

 

 

 

 

 

 

Step 3: Write the equation

The cos angle is unknown so we will be writing it like :

 

Step 4: Get the variable by itself/Solve

*when moving the COS to the other side of the equation it becomes COS^-1

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

ii) Question two: What is the side length of AP to the nearest degree. (How to find the side length of a triangle knowing one side length and one angle.)

 

 

 

 

 

 

 

 

 

Step 1: Label the Triangle

*According to the reference angle

 

 

 

 

 

 

 

 

 

 

 

Step 2: Determine the ratio

Use the clues from the triangle. We will be using Tangent because we have the clues from the adjacent and opposite sides. (TOA)

 

Step 3: Write the equation/Solve

*We don’t want the variable on the bottom. Reciprocate the fraction and what you do to one side you do to the other.

 

 

 

 

 

X= 50cm  

 

 

 

 

iii) Question Three: What is the side length of AK to the nearest degree. (How to find the side length knowing one side length and one angle .)

Step 1: Label the Triangle

*According to the reference angle

 

 

 

 

 

 

 

Step 2: Determine the ratio

Use the clues from the triangle. We will be using Sine because we have the clues from the hypotenuse and opposite sides. (SOH)

 

 

 

 

 

 

 

Step 3: Write the equation/Solve

 

 

 

 

*We don’t want the variable on the bottom. Reciprocate the fraction and what you do to one side you do to the other.

 

X= 51 cm

 

Grade 10, Math 10

Math 10 Week 6

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This week I learned some pretty cool connections between different shapes. I thought that it was so cool that everyone else should know them. This may even help you in the future with volume.

*All of the shapes have to have to same height and radius/width for this to be accurate*

Image result for connections between cones and cylandersOne cone with + One Sphere = The volume of a cylinder

 

Image result for connections between cones and cylanders Three cones = the volume of a cylinder

 

Image result for Cylinder and Pyramid Three pyramids = A Square/rectangle

Grade 10, Math 10

Math 10 Week 5

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This week I learned how to convert from imperial to metric units that were cubed and squared. I was confused with this until it was explained to me in and the steps were all drawn out for me. So i decided to draw out all the steps for you 🙂

Ex. 2.5 m^2 = _______ ft^2

  1. Use the Conversion Factor to get to cm. * since you are going down the latter you will multiply to get to cm*
  2. When m^2 is on the top and the bottom it will cancel each other out.
  3. Place the exponent outside of the bracket and use the power law.
  4. After you use the Conversion Factor you will have it in cm.
  5. Now convert cm to inches. * We know that there is 2.54cm in 1 inch*
  6. After getting the measurement into inches, use the conversion Factor again to get to feet. * We know there is 12 inches in 1 foot*
  7. Then your measurement will be converted to ft^2

Answer: 2.5 cm^2 = 2.69 ft^2

See below for pictures!

About Me, English 10, Grade 10

The Metaphor

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My family is a black and white piece of artwork on a large wall full of colorful paintings. We are grey trees in a forest full of green. We are islands in the middle of the ocean. We are the instrumentalists in an orchestra playing the wrong notes. But we are a family that manoeuvres through all the impossible expectations of those around us. We are a gaggle that flies high above all the rest and enjoys seeing the imperfections of the world. We make our imperfect music that sounds like the angels to my ears but nails on a chalkboard to you. We are all similar but the difference between us is you see unappealing and we see beauty.

Grade 10, Math 10

Math 10 Week 4

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Some Clarification

This week I cleared up a few misunderstandings.

  1.  I learned that exponents are very lazy and are only attached to whatever is in front of it. The only exception is when there are brackets. Then the exponent is forced to multiply its self with any hidden and visible exponents in the brackets.
  2. I also learned that if there are brackets and the exponent on the outside is negative it means the whole equation is unhappy, and you are allowed to reciprocate the entire thing. Then everything will become positive. But don’t forget to multiply the exponent on the outside to the ones on the inside.
  3. One other thing I learned is, if a negative number has a negative exponent it does not become the coefficient does not become positive when moved to become happy. You also need to remember that if the negative coefficient has brackets it will be a different answer than without. Make sure you watch for this common mistake 🙂

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English 10, SSR

The Maze Runner

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 “The Maze Runner” by James Dashner

In the story “The Maze Runner” by James Dashner, you get to experience the gut wrenching events that take place in this mysterious maze. The Author is incredible, and he will leave you staring at the last page of every chapter in awe. You will not want to put the book down! You will get to know the impossible maze and what lies between the monstrous stone walls.

I recommend this book to any teen who is looking for an action filled thriller. This book is great at keeping you at the edge of your seat. This dystopian science fiction novel is the first of its series and will. be great if you’re wanting to read further to know what happens. Don’t miss the Scorch Trials or Death Cure. Getto know happens with Thomas and Teresa in the 2nd and 3rd books. Will their little romance last? Or will the deadly events ruin their chances? Read to find out.

English 10, Grade 10, Journal Responses

Journal Response #4 Harrison Bergeron

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Journal Response #3 Question

Vocab: Illusion – a thing that is or is likely to be wrongly perceived or interpreted by the senses.

Find 3 examples of similes and explain how they illustrate the tone during that section of the story

  1. “His thoughts fled in panic, like bandits from a burglar alarm”. (pg.176) This sets the tone for the beginning of the story. It makes you sense the struggle and the sadness from the story.

Any more examples? Leave a comment.

Grade 10, Math 10, Tutorials

Math 10 Week 3

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This week we learned about exponents. I was was having trouble simplifying equations with negative exponents. We ended up going over negative exponents and how to deal with them. You need to make sure you leave all the exponential answers in positive form and to do so you need to…

Vocab: Multiplication Law – Add the exponents when they have the same base. Ex. 5^6\cdot5^2 = 5^8

Division Law – Subtract the exponents when they have the same base. Ex. \frac{5^6}{5^2} = 5^4

Integral (Negative) Exponent Law – Place the coefficient with the negative exponent on the other side of the division line to make the exponent become positive.

Work

  1. Find all the hidden exponents.
  2. Place all the coefficients with negative exponents on the other side of the divide line and then the exponents will become positive.
  3. Use the multiplication Law
  4. Use the Division Law
  5. Come the two parts
  6. If needed use another Exponent Law.

You have the answer

See Below for Pictures 🙂