Category: Grade 10

Week 5- Math 10

Danya on

This week in math we finished up our unit on Trigonometry. One of the things I learned is how to find a missing angle when I am given 2 sides. This is similar to what I learned last week so i will be going recapping some of the steps we used before because we will need them.

 

Step 1- You always start with labeling the sides.

  • Hypotenuse (hyp): The side across from right angle (longest side in a triangle)
  • Opposite (opp): The side across reference angle
  • Adjacent (adj): The non-hypotenuse side next to the angle.

ex.

Step 2-  Choose a ratio. To do this you can use SOH CAH TOA.

  • SOH: Sine=opp/hyp
  • CAH: Cosine=adj/hyp (we will be using CAH)
  • TOA: Tangent=opp/adj

ex.

Step 3- Insert clues into ratio.

ex.

Step 4:  To isolate the variable you will need to move the raito (sin) to the other side which then it will become sin -1.

ex.

Step 5: Divide the numerator with the denominator then press 2nd button and then press sin (which will make is sin -1)

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Step 6: Round to the nearest degree.

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Week 4- Math 10

Danya on

This week in math we started to learn about Trigonometry. One of the lessons was how to find the measurement of a missing side.

Step 1- You always start with labeling the sides.

  • Hypotenuse (hyp): The side across from right angle (longest side in a triangle)
  • Opposite (opp): The side across reference angle
  • Adjacent (adj): The non-hypotenuse side next to the angle.

ex.

Step 2-  Choose a ratio. To do this you can use SOH CAH TOA.

  • SOH: Sine=opp/hyp
  • CAH: Cosine=adj/hyp
  • TOA: Tangent=opp/adj

ex.

Step 3- Insert clues into ratio.

ex.

Step 4- Ratio. On your calculator you will press either sin ,cos , or tan depending on your question then input the degree.

ex.

Step 5- We are going to isolate the variable. Move the denominator to the other side of the = and now multiply is by answer you just got.

ex.

Step 6-  Once you multiply round the decimal and make sure to put a dot on top of = to show you have rounded.

ex.

 

Week 3- Math 10

Danya on

For my 3rd week of math 10 one of the things I learned was how to use scientific notation. It is used to calculate big numbers and is a much simpler way to do so. I will show you how to turn a big number like 529000000 into 5.29 x  10^{6}.

For our number I will be using 62800000000.

Step 1- 

Move the decimal from right to left until it is in between the one and ten place.

ex.

Step 2- 

Write down the decimal. Count how many times you moved the decimal and make that number to the exponent of 10.

ex.

*Notes*

  • If you are moving the decimal to the left the exponent will be negative
  • If you move the decimal to the right the exponent will be positive
  • The first number has to be bigger than 1 and smaller then 10
  • It will be always multiplied by 10

Week 2- Math 10

Danya on

During my second week in math 10 I learned about Prime Factorization and Exponent Laws. Exponent laws make solving questions much easier. I found the laws very helpful for when dealing with bigger questions. I will go over the Product law, Quotient law, Power law, and Exponent law of 1.

Product law:

In this law you will be adding all the exponents when the  base is the same.

Example-

Quotient Law:

When doing the Quotient law you subtract the exponents but only if the base is the same.

Example-

Power Law:

In the power law you multiply/distribute the exponent outside the brackets to the ones inside the brackets.

Example-

Zero Law: 

If the exponent is 0 the answer will ALWAYS be 1.

Example-

Exponent Law of 1:

Anything to the power of 1 is itself.

Example-

Week 1- Math 10

Danya on

In my first week of math 10 we started our unit on prime factors. One of the things we learned is to find GCF (greatest common factor) between 2 numbers. Finding the GCM for smaller numbers like 16 is easy but finding it but bigger numbers need a little more thinking. There are 2 methods I will be showing today on how to get GCF.  

One of the ways we learned to find GCF is using the division table which is where we keep dividing the 2 numbers until we are left with numbers, we cannot break down anymore. When you can no longer break down a number it is called a prime number. Another method you can use is called a factor tree. The method I will be showing below is the division table. 

Division table: 

We are going to find the GCF of 504 and 180.

Step one- write down prime numbers 2,3,5,7 

Step 2- Look to see if 2 goes into the 1st number. Once you get the number right it below. (2 goes into 5 two times but there is 1 extra. Carry the 1 and place it next to the 0. 2 goes into 10 five times, 2 goes into 4 two times = 252) 

Step 3- If 2 still works for this number keep going. (2 goes into 2 one time, 2 goes into 5 two times, carry the one. 2 goes into 12 six times = 126.)

Step 4- If the number cannot divide by the first number try the first 2 numbers. (2 goes into 2 six times, 2 divided by 6 is 3 = 63) 

Step 5-  if 2 no longer divides by the number move onto 3. (3 divided by 6 is 2, 3 goes into 3 one time = 7)  

Step 6- All numbers on the left are prime factors, place them together as shown.  

Step 7- Repeat steps 1-6 for 2nd number.

Step 8– Find pairs.

Step 9 – Multiply one of each pair to get the answer.