Month: February 2017

Math 10: Weekly Blog Post #4

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This week, we’re transitioning into the measurement unit.  I believe that every unit we do relates to the last unit we did.  At the beginning of the semester, we started with the basics, and we did our numbers unit.  Then, we did exponents, which builds on numbers.  We take some of the concepts, and morph them into the next unit.  I see it kind of like baking a cake.  You take the base from the last unit (the actual cake part), and you add decorations (the new concepts).  Then the next unit, you add another base, but you still have the knowledge of the last unit.  I think that measurement will relate to exponents, in the sense that we’ll use exponents to measure objects and distances.

Math 10: Week 2 Blog Post

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This week in math 10, we learned the difference between entire radicals and

mixed radicals.  In mixed radicals (example shown below), the 2 is the co-

efficient.  In entire radicals (example shown below), the co-efficient is

invisible.  Really, there’s a 1 as the co-efficient.

 

Mixed Radical: 2\sqrt{6}

Entire Radical: \sqrt{20}

 

What I Learned This Week: Week #1

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Math Reflection #1

 

This week, I really struggled with prime factorization, but I think I’m finally getting a hang of it.  I really learned a lot of vocabulary that I’ve never heard of before.  I learned that there are many different kinds of numbers, not just regular numbers, and that everything with digits is classified as a number, ie. Fractions.  I also didn’t know there was a term for regular old numbers.  I learned the following:

 

Natural Numbers: 1, 2, 3, 4, 5…

These numbers are also called counting numbers, because you learn them as a kid, and use them to count.

 

Whole Numbers: 0, 1, 2, 3, 4, 5…

All natural numbers are whole numbers, but not all whole numbers are natural numbers.  Whole numbers include 0.

 

Integers: -1, -2, -3… 0, 1, 2, 3…

Much like the whole numbers situation, all natural numbers and whole numbers are integers, but not all integers are whole, or natural numbers.

 

Rational Numbers: -9/10, 3/8, ½…

Like the other numbers, rational numbers include integers, whole number, and natural numbers.  Rational numbers also include fractions.

 

Off to the side, we have an irrelevant type of number.  These numbers are called irrational.  Irrational numbers are any number that cannot be expressed by an integer.  Irrational numbers can only be expressed by a decimal fraction, where their decimals go on and on, without a repeating pattern.  These include: π, and square root of two, and three.