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Does Gender Make a Difference?
Due Date: 5/9/2018
Subject: Algebra I

Does Gender make a Difference?

            Page 75, 76



Movie Probability
Due Date: 5/7/2018
Subject: Algebra I

Probability

            Page 67 - 68



Standard Deviation
Due Date: 5/4/2018
Subject: Algebra I

Standard Deviation

            Page 53, 54



Chart / Equation / Graph
Due Date: 5/4/2018
Subject: 8th Pre-Algebra

Worksheet
35 pay scales



Point of Intersection
Due Date: 5/3/2018
Subject: 8th Pre-Algebra

Point of Intersection

            Find the point of intersection for:

                        2x + 5y = 4 and 3x + 10y = -1

                        Change from standard from to slope/int form and then set them equal to each other.

                        And use elimination.



Standard Deviation
Due Date: 5/3/2018
Subject: Algebra I

Measures of Central Tendency, Standard Deviation

            Page 39

            Page 52



Measures of Central Tendency and Variability
Due Date: 5/2/2018
Subject: Algebra I

Measures of Central Tendency, Standard Deviation

            Page 38

            Page 51



Point of Intersection
Due Date: 5/1/2018
Subject: Algebra I

Points of Intersection

            Find the point of intersection:

                        4x + 5y = -1, 8x + 10y = -2

                        2x – 3y = 7, 6x – 9y = 1

            Give examples of the three different ways a quadratic and linear equation can intersect.



Point of Intersection
Due Date: 5/1/2018
Subject: 8th Pre-Algebra

Point of Intersection

            Going back to the listing of the different Project options, calculate the

            point of intersection for each situation for each option.



Project
Due Date: 4/30/2018
Subject: 8th Pre-Algebra

Project

            Going back to the listing of the different Project options, write an equation

            for each situation for each option.



Measures of Central Tendency and Variability
Due Date: 4/30/2018
Subject: Algebra I

Measures of Central Tendency

            Page 33 2

            Page 37 2



Measures of Central Tendency and Variability
Due Date: 4/25/2018
Subject: Algebra I

Measures of Central Tendency

            What is the data set:

                        10 numbers

                        Mean = 50

                        Median = 40

                        Mode = 20

                        Range = 70



Review
Due Date: 4/25/2018
Subject: 8th Pre-Algebra

            Review

            Worksheet 33 – go from the coordinate pairs to equations

            Go from standard from to slope-intercept form:

                        2x + 7y = 8

                        3x – 5y = 10



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