## week 4 in math 10

this week in math 10 I learned about scientific notation, it is basically how you can turn a large number ex. 34500000000.00 into a simple expression that is easy to work with. we have $a*10^n$ “a” needs to be greater than 1 and less than 10. “n” just represents the unknown exponent. so to find “a” we need to move the decimal from 34500000000.00 so the number follows the rules of “a”. it becomes 3.45 because 3.45 is greater than 1 and less than 10. now the decimal “n” becomes the number of times we moved the decimal over so n=10 and the expression becomes $3.45*10^{10}$ now if the number were to be 0.000000345 same rules apply only the exponent will be negative because you are moving the decimal to the right this time the expression would be $3.45*10^7$

## Week 3 in math 10

this week in math 10 i learned and reveiwed exponents, focusing on the laws, i learned that you can use them in any order to solve a problem involving combining the laws. For example  in this expression:

It is the same expression in both pictrues, in the first picture i did the multiplication law, power of a power then division. In the second photo i did power of a power, multiplication then divison and both attempts had the same answer outcome.

## Week 2 in math

Throughout this past week i have learned more about prime factorization. Speciffically how to demonstrate prime factorization, you can use one of two ways. You could use a factor tree (first picture) or a divison table (second picture) to find out the prime factorization. For both methods you start with the lowest prime factor, and divide it into the example number. Then you continue to do the same thing with that number untill it no longer factors perfectly, then you take the next lowest prime number that factors and the rule continues on. I prefer to use division tables becasue with especially largr numbers, in factor trees the work can get sloppy and confusing.

## Week 2 in math 10

$\sqrt{10}$ $\sqrt[6]{4}$ $\sqrt[2\cdot 2\cdot 2\cdot 2]$

## Childrens books pathways to a theme

in english we have been looking ar childrens books to find themes and question

http://sd43bcca-my.sharepoint.com/personal/132-mkosola_sd43_bc_ca/Documents/english%2010/the%20forgiveness%20garden.docx?Web=1

https://sd43bcca-my.sharepoint.com/personal/132-mkosola_sd43_bc_ca/Documents/english%2010/pathways%20to%20a%20theme%202.docx?Web=1

## Alternative assignment to peer tutoring

Linear relations

Video 1: https://youtu.be/1xfbBHE3UCA

In this video it is explaining how you can take an increasing or decreasing patteren and put it into a chart, representing a constant change in the independnt and dependant variable. They are showing you how you can take constant patterned information, chart it and turn it into an expression which you can then follow to continue the pattern. For example they use the relation between the distance a car is going and the cost of gas per that distance.

Video 2: https://youtu.be/MweKCXkZ1GA

This video is similar to the last video but it has more of an explanation of y=mx+b and he explains more about what each part of that expression represents. M=slope b=y-intercept. He also explains what that means into further detail as if you were learning linear relations for the first time. He does more exmples with finding x and y and graphing it rather than charting it using different examples with different variables.

Linear equations and innequalities

Video 1: https://youtu.be/bAerID24QJ0

This video starts off by demonstrating how isolate x/find x in a simple linear equation. He also shows you how to deal with an equation if it is involving fractions, he shows you that expressing linear equations with fractions is the same thing but you multiply by the reciprocal to isolate the variable. He also demonstrates how you can check your final answer by substituting x.

Video 2: https://youtu.be/0X-bMeIN53I

This video is based on linear inequalities, he first explains what a linear inequality is. Then he tell you a very important rule, that when dividing by a negative number you must flip the inequality. He then gives an example of what that means. Throughout the video he goes on explaining more concepts and steps, he then demonstrates examples. Unfortunatley he does not explain the 3 steps of checking your answer, his video is more based on making sure you know the rule of flipping the sign and examples being demonstrated and solved.

Scale factor and similarity

Video 1: https://youtu.be/XtkU4VkWh8I

He begins with defining what scale factor is, he then demonstrates how to calculate it and how to use it. He explains all of the terminology he uses to a better, simple understanding. He first changes the values so that they are in the same units, then compares the larger image to the smaller image, he demonstrates how to fin =d the scale factor by comparing the values of one object to the other. He demonstrates cross multiplication to find the unknown length.

Video 2: https://youtu.be/FmZ2sKDb2SI

This video is only 1 of 8 on this topic, but he begines by explaning what similarity is. He explains that with similarity the corresponding angles are equal and that the corresponding sides are in proportion. He then demonstrates examples in order to explain what that means. He explains that the objective of similarity is to find the scale factor. He shows how to use scale factor to find side “x” based on similarity. He also explains cross mutiplication to find the missing length of an object

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