Math 11 Week 3

For week 3  we  begin a unit on “Absolute Value and Radicals”. I had not known anything about it until now. The concept is about a digit value of a number from zero.  There is a formula that can be used. You take a square root of a square to get the absolute value.

Example: Take -6, -6 squared is 36 and the root of 36 is 6. so the absolute value of -6 is 6

We also learned about simplifying radical expressions. It is sort of complicated for me to understand as I never really understood it very well in grade 10.  To simplify an entire radical you take all the prime factors (2x2x2x2x3), and gather the groups of 2 as it is a square root. In my example there are 2 groups of 2’s and an extra 3. The groups are then multiplied together (2×2 = 4) and you just have the 3 left to slide into the answer.

Week 2 Math 11

In week two of pre-calculus 11, we took similar concepts as in week one . I learned that geometric sequences are sequences which have a multiplying common ratio, rather than a common difference. I also learned how to find the sum of all the terms.

For example – If I want to find a specific term in a geometric sequence, we use the formula :
tn = a (r)n – 1 meaning you multiply the first term (a) by the ratio to the power that is  one less than your term.

I also learned that it is possible to find the sum of all the terms in a never-ending infinite converging series.
The formula can be used if -1<r<1 :
S∞ = a/1 – r

Week 1 Math 11

For the first week of our Math pre-calculus class, we have learned about arithmetic sequences and series. This was all new to me as I have never heard of it or learned it before . I learned about the formulas you use to solve arithmetic sequences and series.

You can use t_{t_n} =t_1 + (n-1)(d) to solve the value of a term you don’t know yet.

Another thing I learned is an equation like  13- 4n + 3 = -26 will be a linear equation as there are no powers in it.