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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.