Math 10 week 9

This week we worked with polynomials and expanding them. There are different methods you can use when multiplying binomials such as using the claw, area models and illustrating algebra tile diagrams. At first, I enjoyed using Algebra tile diagrams but now, I find the claw strategy much more efficient.

Ex. (x+6)(x+2)

1.x⋅x= x^2

2. x⋅2=2x and x⋅6= 6x this equals 8x

3. 6⋅2=12

Then, you add everything together. x^2 + 8x+12

Math 10 Week 8

 

This week we started our introduction and review to polynomials. We reviewed drawing out diagrams that show multiplying polynomials. 

x^2 is shown as a square

x is shown as a stick

1 is shown as a tiny cube

ex. (2x+3)(3x-2)

I drew a right angle. On one side, I drew 2x+3 and on the other side, I drew 3x-2. I then multiplied each value.

In the picture above, I show how zero pairs (1 negetive and 1 positive) cancel eachother out.

When this happens, It value of the negetive and positive is 0. 1-1=0

to come up with the answer of 6^2 +5x-6

 

Math 10 week #5

This week I learned how to convert one form of measurement to another. I learned how to convert metric to imperial measurements, length to weight and volume etc.

Using this number line above, I am going to convert 8732cm into m.

  1. I am going to refer to the number line. I have to figure out how many times it takes to go from “centi” to “units.” It is 2 times.
  2. Because it moves to the left 2 times on the number line to get from centi to units, I have to do the same with the decimal place on the number.
  3. 8732. becomes 87.32
  4. 8732cm=87.32m

 

Math 10 week #4

This week, we reviewed a lot of concepts from math 9. I learned how to express numbers in scientific notation.

Ex. 2 354 becomes 2.354 · 10^3

This happens because I moved the decimal place to the left 3 times therefore, the exponent is positive 3.

If we moved the exponent to the right, the exponent becomes negative  (ex. 2.354 · 10^{-3})

Math 10 week #3

This week, I learned how to change a radical exponent into an entire radical.

10^{\frac{2}{3}} is in the form of a radical exponents. We want to change it into an entire radical. The numerator represents the exponent. The denominator represents the cubed root in our radical.

\sqrt[3]{10}2 is the final answer. This question is just a matter of filling out the entire radical with the radical exponent numbers.