GED Math: Intro to Integers Virtual Class Video 0.4 (NEW!)

Unit 0, Lesson 4, Intro to Integers Virtual Class Video

What basics do you really need to understand in order to master GED math? Turns out, not that many. And probably not the ones you think. Unit 0 digs deep into those few crucial pre-algebra concepts to lay a strong foundation for GED Math.

In the fourth lesson, Intro to Integers, we'll dive deep into negative numbers, negation as an opposite or inverse, the number line, and absolute value.

Are you one of those students who just never "got" negative numbers. Follow along as Kate leads you through the basics- including language you need to know, symbols you need to understand, number lines, and a few tricky GED style examples.

[kathrynjones]

This helps me so much!! The way you explain things, really makes sense to me! I never understood math and it would frustrate me because the teacher would basically show a problem, do it, then expect us to know and move on. Same with the “()” they always made it seem like you multiply always

[mgmgkyaw]

I've been waiting for your new videos.... Thanks a million 🙏

[MariaRamirez-ruus]

Yes, this made more sense. Thankyou Kate!🙂👍

[Commenter-of]

more math time :)

*Integers*
natural or counting numbers: {1, 2, 3...} (1 and up)
whole numbers: {0, 1, 2, 3...} (0 and up)
integers: the set of whole numbers and their opposites {-3, -2, -1, 0, 1, 2, 3...}
the negative sign means opposite

-(8) is the opposite of 8 (ie -8)
-(-8) is the opposite of the opposite of 8 (ie 8)
7 - (-5) is 7 minus the opposite of 5 (ie 7 + 5)

*Parentheses*
parentheses can be used for multiplication, grouping, or separation
5(3): multiplication indicated by proximity. the parentheses separate the numbers so it doesn't look like fifty-three. multiplication of variables don't need parentheses (like 5a)
(3 - 2)³: the parentheses make a grouping to indicate which operation should be done first. subtract 2 from 3, then cube it
3 - (-3): the parentheses separate the minus and negative signs for clarity

*Absolute value* (new operation)
absolute value: a number's distance from 0 on the number line. it makes negative numbers positive
|5| and |-5| both equal 5 because they are both 5 away from 0 on the number line, just in different directions

|-5| asks how far -5 is from 0 on the number line. "how far" measures distance, which can't be negative
a point on a number line for -5 would be on the negative side, but absolute value doesn't ask what the point is called, only its distance from 0 (which is 5 here)

number lines can also count by numbers less than 1, making a point between 0 to 1 or 0 to -1 a fraction

*Distance*
to find the distance between two numbers:
a) use |x - y|. distance is subtraction, but it must be positive. you can't know what x and y are, but absolute value makes sure that x - y will be positive
b) find the distance between each point and 0, then add the two distances

Example 1: Find the distance between -3.7 and 4.2.
a) |-3.7 - 4.2| = 7.9
b) 3.7 + 4.2 = 7.9 (because -3.7 is 3.7 from 0 and 4.2 is 4.2 from 0)

Example 2: The average January temperature in Honolulu, Hawaii is 68°F. The average January temperature in Fairbanks, Alaska is -25°F. Find the difference between the two temperatures.
a) |68 - (-25)| = 93
b) 68 + 25 = 93 (because 68 is 68 away from 0 and -25 is 25 away from 0)
both of these are basically the same thing: 68 - (-25)



[end of notes]

i also remembered to actually do the practice worksheets. i ignored the part that said to do one level on two of these. putting results here to see what to work on and come back to

Unit 0 Lesson 1 Beginner: 44/44
Unit 0 Lesson 1 Experienced: 43/43 (except for unnecessary parentheses on one answer)
Unit 0 Lesson 1 Advanced: 25/33 (but i put 0.5 instead of 1/2 on two of those)
- got two answers wrong
- didn't do absolute value on two answers
- didn't simplify four answers

Unit 0 Lesson 2 Beginner: mostly right but hard to score
- couldn't answer three parts

Unit 0 Lesson 3 Beginner: 45/61
- mixed up twelve perfect squares: said 8² = 169 four times, 8² = 91 one time, 9² = 196 three times, 4² = 36 two times, and √64 = 6 two times
- got three parts of the square root table wrong
- couldn't answer one problem
(i went over my flashcards several times and tried the next two levels)
Unit 0 Lesson 3 Experienced: 58/66
- got six answers wrong
- couldn't answer two problems
Unit 0 Lesson 3 Advanced: 19/47
- got four answers wrong
- couldn't answer sixteen problems
- put the wrong amount of 0s in three decimal answers
- mixed up positive and negative on two answers
- put three number answers when they were actually undefined

Unit 0 Lesson 4 Beginner: 19/21
- said "100 foot descent" and "plunging 300 meters" would be represented with positive integers since they seem like distance
- said "a deposit" would be negative because you're putting money away
- mislabeled a point on a number line
- got three parts of one question wrong

[snazzyblisss]

Thank you so much for sharing your fun teaching and content!! I failed my ged test, last one left and I discovered your videos and they have been very helpful!

[exianwondergurl]

I took my math test, and missed it by 3 points . I want to raise my score Do you have tips ?

[Glueyopps]

my brain just knows math is useless so it can't make sense of it.