Category Archives: Self-Assessment

Precalculus 11 week three reflection

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In week 3 of precalc 11, we learned about multiplying radicals by radicals. We practise doing this and then simplifying the equation. let’s use this for example

In an equation like this, you can multiply the radicals inside the bracket by the radical outside of the bracket. To solve the equation, do that and then simplify further from there.

From here you can’t really simplify it any further. Now you can also do the same thing with a mixed radical. Let’s use a more complicated equation

Now we start by simplifying everything in the brackets, then multiply by the mixed radical outside of the brackets.

we can’t simplify after this point.

Precalculus 11 week two reflection

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In week 2 of precalc 11, we went over more about rooting and exponents. We started diving into using fractions instead of just integers as the exponents. we also went into adding/subtracting fraction exponents like this for example

the way the fraction exponents work is that the exponent is the numerator root is the denominator. A way you can remember this is from the phrase “flower power”, because flowers have roots at the bottom of them, like how the root number is at the bottom of the fraction.

Precalculus 11 week one reflection

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Through week 1 of precalc 11 we did review on what we went through in grade 10. It was a nice way to start the semester off instead of just going right into new things. I still was able to learn new stuff while we were reviewing. To start, we reviewed exponents and radicals. One thing I learned from the review is that square rooting something twice is not the same as cube rooting, lets use these equations as examples.

It also works the same the other way around, with squaring something twice or cubing it.

The way this logic works is that when you are cube rooting something you are finding a number that multiplies itself 3 times to make the radicand. when you square root something twice you are finding 2 numbers that make the first radicand, then the 2 numbers that make up the result of square rooting the first radicand.

The same logic will apply with squaring. The way it works is that when you square something twice you will multiply the first number by itself, then the second number by itself. when you are cubing something you multiply the first number by itself, then the second number by the first number, like 4x4x16 vs 4x4x4.