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Vocabulary
Due Date: 5/27/2019
Subject: 8th Pre-Algebra

point                                     a dot / specific location on a number line or coordinate plane

 

 

line                                      is straight, goes on forever in both directions

ray                                      is straight, goes on forever in one directions and ends in one direction

line segment                          is straight, ends at a point in both directions

angle (vertex)                        point of intersection of two lines

side                                       line that makes an angle or 2-D shape

height                                    from the highest point, straight down, forms 90° angle to base

radius                                    distance from midpoint to the circle

degrees                                  units of an angle

protractor                              tool used to measure an angle

 

acute angle                            angle between 0 and 90 degrees

right angle                             angle that is 90 degrees

obtuse angle                          angle between 90 and 180 degrees

straight angle                         angle that is 180 degrees

 

adjacent angles                      two angles with a common side

complementary                      sum of two angles is 90°

supplementary                       sum of two angles is 180°

vertical angles                        opposite angles, are congruent

exterior angles                       the angle formed when a side is extended

 

parallel lines                          two lines in the same plane that never meet

perpendicular lines                 two lines that intersect at a 90° angle

transversal                             a line that intersects two parallel lines

area                                       number of squares in a 2-D object, units u2

lateral area                             sum of the areas of only side surfaces, units u2

surface area                           sum of the areas of all surfaces, units u2

volume                                  amount of cubes in a 3-D object, units u3

 



Dot Plots
Due Date: 5/7/2019
Subject: Algebra I

Dot Plots

            Page 33, #2

            Write the Standard Deviation equation using words.



Dot Plots
Due Date: 5/3/2019
Subject: Algebra I

Dot Plots

            Page 33



Fitting a Line to Data
Due Date: 5/2/2019
Subject: Algebra I

Fitting a Line to Data

            Page 1-2



Elimination
Due Date: 5/1/2019
Subject: 8th Pre-Algebra

Elimination

            Calculate the point of intersection using elimination:

                        - 3x + 4y = 6

                        5x – 8y = 4

            and

                        -2x + 3y = 5

                        -7x + 6y = 2



Frequency Table
Due Date: 4/30/2019
Subject: 8th Pre-Algebra

Frequency Tables

            Worksheet – 33 Frequency Table



Brenna Rescues Andrew
Due Date: 4/29/2019
Subject: Algebra I

Brenna Rescues Andrew

            Page 102-103, #2-3



Quadratic Equations
Due Date: 4/26/2019
Subject: Algebra I

Correct Test 8

            Solve by using: product/sum, completing the square, and the quadratic formula:

                        y = 6x2 - 5x - 4



Vocabulary
Due Date: 4/15/2018
Subject: 8th Pre-Algebra

absolute value                  the distance a value is from zero

natural numbers               counting numbers - 1,2,3, . . .

whole numbers                natural numbers and zero - 0,1,2,3, . . .

integers                            positive and negative whole numbers - ...,-2,-1,0,1,2,…

rational number               decimal can be written as a fraction (terminates or repeats)

irrational number             decimal can not be written as a fraction

 

sum                                  The result of an addition expression

difference                        The result of a subtraction problem

product                            The result of a multiplication problem

quotient                           The result of a division problem

 

Pos / Neg: Add / Sub      Signs same: add, keep sign

                                       Signs different: sub, keep sign of one that has more

Pos / Neg: Mult / Div      Signs same: positive

                                       Signs different: negative

 

coefficient                        the number in front of a variable telling how many

constant                           a number without a variable that has a fixed value

independent variable        the variable in which you choose the value

dependent variable           the variable whose value is based on other variables

estimation                        educated guess

like terms                         terms with same variables and exponents, can be combined

variable                            a symbol which represents an unknown value

 

distributive property        a(b + c) = ab + ac, a form of multiplication

commutative property      a+b=b+a, ab=ba, if add or mult can be rearranged

associative property         a+(b+c)=(a+b)+c, a(bc)=(ab)c, if add or mult can be rearranged

order of operations          ( ), nx, * /, + -, l to r

 

exponents                        multipling a value by itself

                                        nx       power

                                        nx       base

                                        nx       exponent

scientific notation             example: 435000 = 4.35 * 105

 

Exponent Rules:              bases same and multiplication, add exponents

                                        bases same and division, subtract exponents

                                        power to a power, multiply exponents

                                        move a power in a fraction, change the sign of the exponent

 

square root                       √, √25 = 5 and -5, multiplied by itself

Pythagorean theorem       a2 + b2 = c2, relationship between the sides of a right ∆

hypotenuse                      the longest side of a right triangle

 

coordinate plane              graph

axis                                  the vertical and horizontal number lines

x-axis                               horizontal (right-left) number line

y-axis                               vertical (up-down) number line

coordinate pair                 ordered pair, (x,y) values

quadrant                          the four sections of a graph

origin                               (0,0), where the x-axis and y-axis meet

 

transformations                changing the position, shape, or size of an object

translation                        sliding an object to a new position (x+value,y+value)

rotation                            turning a shape; need fixed pointt and degrees

reflection                         flipping an object over a line; need axis of symmetry

axis of symmetry             a line that divides an object in half into mirror images

dilation                            changing the size of an object

 

prime                               an integer with exactly 2 factors, one and itself

composite                        an integer with more than 2 factors

factor                               a value that divides without a remainder

fraction                            a comparison of two values, a partial, compared to a whole

ratio                                 a comparison of two quantities, a:b or a/b

unit rate                           ratio / rate, amount per 1

proportion                       two equivalent ratios, solved by cross multiplying

similar                              same shape, different size / same angles, diff sides

 

Divisibility rules:             2 - value is even

                                        3 - the sum of the digits is a multiple of 3

                                        4 - divisible by 2, twice

                                        5 - ends in 0 or 5

                                        6 - divisible by 2 and 3

                                        7 - not one

                                        8 - divisible by 2, three times

                                        9 - divisible by 3, twice

                                        10 - ends in 0

 

percent                             a ratio out of 100

discount                           decrease of a price

tax                                   increase of a price by the government

interest                             charge for use of money (to borrow or invest)

principal                          amount deposited or borrowed

percent change                 (new-old)/old, comparing amount of change to original

 

 

 

 

Solving equations:           Goal - to determine the value of 1 of the unkown

                                       Order of operations to simplify distributive, etc.

                                        variables on left, constants on right

                                        underline what needs to be moved to other side

                                        move terms to other side and change sign

                                        combine like terms

                                        mult / div on both sides to get only 1 of the variable

                                        if inequality - if mult / div by negative, reverse sign

 

equality                            An equation with an equal sign.

inequality                         An equation with a greater than or less than sign.

additive inverse                opposite, 2 values added together to get 0; 5 + (-5) = 0

multiplicative inverse       reciprocal, multiplied together to get 1, 3/5(5/3) = 1

 


point                                 a dot / specific location on a number line or coordinate plane

line                                   is straight, goes on forever in both directions

ray                                   is straight, goes on forever in one directions and ends in one direction

line segment                     is straight, ends at a point in both directions

angle (vertex)                    point of intersection of two lines

side                                  line that makes an angle or 2-D shape

height                               from the highest point, straight down, forms 90° angle to base

radius                               distance from midpoint to the circle

degrees                             units of an angle

protractor                          tool used to measure an angle

 

acute angle                       angle between 0 and 90 degrees

right angle                        angle that is 90 degrees

obtuse angle                     angle between 90 and 180 degrees

straight angle                    angle that is 180 degrees

 

adjacent angles                 two angles with a common side

complementary                 sum of two angles is 90°

supplementary                  sum of two angles is 180°

vertical angles                   opposite angles, are congruent

exterior angles                  the angle formed when a side is extended

 

parallel lines                     two lines in the same plane that never meet

perpendicular lines            two lines that intersect at a 90° angle

transversal                        a line that intersects two parallel lines

congruent                         equal, same

congruent objects              same size and shape, same angles and lengths

 

area                                  number of squares in a 2-D object, units u2

lateral area                        sum of the areas of only side surfaces, units u2

surface area                      sum of the areas of all surfaces, units u2

volume                             amount of cubes in a 3-D object, units u3

 

        acute triangle                              triangle with all angles between 0 and 90 degrees

right triangle                               triangle with one angle that is 90 degrees

obtuse triangle                            triangle with one angle between 90 and 180 degrees

equilateral triangle                      triangle with three congruent sides

isosceles triangle                         triangle with two congruent sides

scalene triangle                           triangle with no congruent sides

 

quadrilateral                                polygon with four sides

                            trapezoid                          quad with one pair of parallel sides

                            parallelogram                    quad with two pairs of parallel sides

rhombus                           quad with four congruent sides

rectangle                           quad with four right angles

square                              quad with four right angles and four congruent sides

kite                                   quad with two pair of adjacent congruent sides

deltoid                              quad that is concave

 

 

Advantages of:               

     chart                           organizes data

     line graph                   shows trends, and large amounts of data at a glance

     bar graph                    shows differences, comparisons

     equation                      precise data at any point

     words                         describes, explains

 

continuous                       a graph where every data point is valid

discrete                            a graph where only specific points are valid

 

slope                                the steepness of a line between two points

y-intercept                       where the line intersects the y-axis

linear equation                 greatest exponent is 1, graph is a straight line

standard form                  ax + by = c, variables left, constant right, no frac, no dec

slope-intercept form         y = mx + b

point-slope form              y = m(x - x1) + y1

 

direct variation                 linear equation that goes through the origin

quadratic                          greatest exponent is 2, graph is a parabola

parabola                           graph of a quadratic equation