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Inductive teaching
Learning though examples
Deductive approach
Learning step by step
Inductive reasoning
logic that is based on patterns and observations
Deductive Reasoning
Reasoning from cause to effect, if this happens then this will happen.
volume
measures the amount of space taken up by the object.
Sensorimotor b-2
Piaget's intellectual development
Conservation
Understanding quantity, length, number of items is unrelated to the arrangement or appearance of the object or items.
Math standards
Task, discourse, environment, analysis
Integers
the set of positive whole numbers and their opposites(negative numbers) and 0
Natural numbers
A group of numbers that include 1,2, 3,.....
Irrational Numbers
any number that cannot be expressed as a fraction.
Rational numbers
Numbers that include integers, wholes, and natural numbers.
percent
/ division
Commutative Property
3 + 2 = 2 + 3
Associative Property of Mult. and Addition
The order of the addends or product will not change the sum or the product. (2+3)+5=10,2+(3+5)=10, (2*3)*5=3-,2*(3*5)=30
distributive property
Multiplying a sum by a number is the same as multiplying each term by the number and then adding (or subtracting ) the products.
f(x)
f of x
y=f(x)
y is the independent variable
Linear Function
y = mx + b
Constant rate of increase or decrease (m) m =slope
f(x)=mx+b, function form (m=3,b=-1) debes resolverlo por m y b
FOIL
To convert Factored Form to Standard Form you must
Proportional reasoning
must be solved by multiplication
algebraic inequality
An inequality that contains at least one variable. Example: x+3>10; 5a>b+3
perimeter
The distance around a geometric figure.
area
the surface; Length x Width
90*
Right Angle
Acute Angle
An angle that measures LESS than 90 degrees.
Obtuse Angle
An angle that measures MORE than 90 degrees
Congruent
A plane figure with the same size and shape.
C=2*pi*r
Circumference of a circle
triangle
P=a+b+c
Isosceles
two sides have the same length
equilateral
all sides have the same length
Scalen
3 unequal sides
axion
assumption that is a rule
Range
The difference between the greatest number and the least number in a set of data.
Mean
the sum of all the values divided by the number of values
Median
A segment or Ray that joins a vertex to the midpoint of the opposite side
Mode
the most common value
The Metric System
Kilometer, Hectometer, Decimeter, Decimeter, Centimeter, Millimeter.
length
measurement of the distance between two points
weight
a measurement that tells how heavy an object is
Mass
measure of the amount of matter in an object
Combined Measurements
miles per hour = m/hr
Supplementary Angles
The sum of the measure of two angles is 180 degrees.
Complimentary Angles
Angles whose measure adds up to 90 degrees.
Obtuse Angel
an angel that is greater than 90 degrees
right angle
An angle that is 90 degrees (It makes a square in the corner).
Similar
figures that have the same shape but not necessarily the same size; corresponding angles are congruent, but not necessarily corresponding sides
Circle
r=asinθ
Scalene Triangle
A triangle with no congruent sides
isosceles triangle
Triangle with 2 equal sides and 2 equal angles.
equilateral triangle
Triangle with a 90° angle
Rectangle
Area = L x W
Square
P=s+s+s+s
Parallelogram
p=s+s+b+b
Trapezoid
P=s1+s2+b1+b2
Pythagorean Theorem
in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs
cylinder
A solid shape with one curved surface and two congruent circular bases.
Box
Volume = L x W x H
Cones
Volume = 1/3(3.14)R^2xH
sphere
A solid shape that is perfectly round like a ball. No faces, edges, or vertices.