Tina Yang

Parallel Lines: (same slope!)

Parallel lines are marked with "feathers" to show that they are parallel.
These "feathers" look like "greater than" symbols.

Parallel lines have the same slope.

The symbol to indicate parallel lines is two vertical bars.

y= 4x +6

y= 4x -12

y= 4x +1/2

All have the SAME slope because m= 4!!! These lines are parallel!

Perpendicular Lines:
(negative reciprocal slopes!)

Perpendicular lines have negative reciprocal slopes.

The symbol to indicate perpendicular is an up-side-down capital T.

where l₁ and l₂are lines
m₁ and m₂ are slopes

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To find a negative reciprocal of a number, flip the number over (invert) and negate that value.

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These lines are perpendicular.
Their slopes (m) are negative reciprocal (remember y = mx + b.)

Announcement!

CRCT week will begin Wednesday, April 22.

Peer-help sessions are available on Tuesdays at 8:15 from the Beta Club in CR-3.

Teacher help sessions:

Tuesday- Ms.Bobb from 4:30-5:00

Wednesday- Mrs.Trien from 4:30-5:00

Wednesday- Ms.Yang from 4:30-5:30

Thursday- Ms.Bobb from 4:30-5:00

Study study study...

Unit 5- Linear Equations & Inequalities in 2 variables

Download math8unit5parentletter.doc

Download slope_yintercept_and_equation_practice.doc

Download study_guide.doc

Slope, Equation & Y-intercept

Find the equation using the given information:

1) (14,5) and (13,-3) 2) (0,-16) and (15,-8)

3) (1,0) and (4,-4) 4) (14,15) and (6,-2)

5) (13,14) and (16,-14) 6) (4,17) and (19,-13)

7) (5,-3) and (-16,-8) 8) (0,-4) and (15,-2)

9) (0,1) and m=5 10) (14,14) and m= -2

11) (15,13) and m=15 12) (0,-4) and m= -13

13) (15,-2) and m= 0 14) (4,-4) and m=17

15) (14,13) and m= 0 16) (15,1) and m= 4

Click on the link below to download flashcards for key vocabulary:

Download vocabulary_flash.pdf

Link to slope module through Purplemath

Link to slope-intercept form through Purplemath

Link to graphing lines through Purplemath

Download family involvement letters sections A and B:

Download section_family_a.pdf

Download section_family_b.pdf

***NEW*** Download inequalities_brochure.doc

***NEW*** Download study_guide_for_post_test.doc

Slope can be expressed as: change in y over change in x,
Y2-Y1 or rise
X2-X1 run
_____________________________________________________________________

Positive
Slope

Lines that have positive slope, slant "up hill"
(as viewed from left to right).

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Negative Slope

Lines that have negative slope, slant "down hill"
(as viewed from left to right).

_____________________________________________________________________

Zero
Slope

Lines that are horizontal have zero slope.

_____________________________________________________________________

No Slope or
Slope Undefined

Vertical lines have no slope, or undefined slope.

_____________________________________________________________________

The word slope (gradient, incline, pitch) is used to describe the measurement of the steepness of a straight line. The higher the slope, the steeper the line. The slope of a line is a rate of change.

For every one unit that is moved on the x-axis, two units are moved on the y-axis. This is true at any location on the line.

Notice that to read the rise and run for these two points, we started at (-4,4), moved "down" (negative) 6 units and moved "right" (positive) 12 units.

Remember:

Slope is found by using the formula:

Slope is also expressed as rise/run.

Real Numbers graphic organizer

Download real_numbers.doc

Unit 4- Functions and Relations

Download unit_4_parent_letter

Math 8 Unit 4 Vocabulary

Complement of a Set: The collection of all items not in a set

Element: A member or item in a set

Explicit Series: A type of series in which the values of terms originate from the location of the term in the series.

Function: A rule of matching elements of two sets of numbers in which an input value from the first set has only one output value in the second set

Intersection of Sets: The set of all elements contained in all of the given sets

Null Set: : A subset that does not contain every element of the parent set

Proper Subset: A subset that does not contain every element of the parent set

Recursive Series: A type of series in which the values of terms originate from other terms in the series

Relation: A rule that gives an output number for every valid input number

Set: A collection of number

Subset: A collection of items drawn entirely from a single set. A subset can consist of any number of items ranging from none at all (a null subset) all the way up to the entire set (every set is a subset of itself).

Union of Sets: The set of all elements that belong to at least one of the given two or more sets

Venn Diagram: A picture that illustrates the relationship between two or more sets, geometric figures, letters, or other objects that have some characteristic in common.

{ }: “Curly braces ” are often used to denote members of a set..For example,the positive, single-digit, even numbers are 2, 4, 6,8 .

: Is an element of – For example, if A is the set of positive, single-digit, even number, then 2 A.

: Is not an element of – For example, if A is the set of positive, single-digit, even number, then 3 A.

: Is a subset of – For example, if A is the set of positive, single-digit, even number, then 2 A. NOTE: Many authors and texts use this symbol only for proper subsets, but some are not so precise.

: Is a subset of – The difference between and is similar to the difference between and <. For example, if A is the set of positive, single-digit, even number, then 2, 4, 6,8 A. NOTE: While 2, 4, 6,8 is a subset of A, it is not a proper subset of A.

: Union – For example, if B is the set of even numbers and C is the set of odd numbers, then B C = Integers .

: Intersection – For example, if D is the set of non-negative numbers and E is the set of non-positive numbers, then D E=0 .

You may visit http://intermath.coe.uga.edu/ and click on dictionary to see definitions and specific examples of many terms and symbols used in the eighth-grade GPS it symbols used in the eighth-grade GPS.