CONSTANT RATE OF CHANGE A comparison between the vertical and horizontal change. X is the independent variable Y is the dependent variable. CONSTANT RATE.

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Presentation transcript:

CONSTANT RATE OF CHANGE A comparison between the vertical and horizontal change. X is the independent variable Y is the dependent variable. CONSTANT RATE OF CHANGE d = rt distance = rate *time An object moving uniformly with respect to time, is moving at a constant rate of change

REPRESENTATION OF CONSTANT RATE OF CHANGE Creating a visual image to form a connection between pictures that support multiplicative reasoning TABULAR REPRESENTATION OF CONSTANT RATE OF CHANGE Organizes numerical relationships that can be observed through patterns and existing relationships.

VERBAL REPRESENTATION OF CONSTANT RATE OF CHANGE Verbally finding the constant rate of change and saying the proportional relationship. Example: distance varies directly as time for the equation d=r*t NUMERIC REPRESENTATION OF CONSTATE RATE AND CHANGE Showing the constant rate of change as equal rate or proportions

ALGEBRAIC REPRESENTATION OF CONSTANT RATE OF CHANGE Using y=kx to express independent and dependent quantities (using variables) Using a graph of y=kx to model the slope of a line or constant rate of change GRAPHICAL REPRESENTATION OF CONSTANT RATE OF CHANGE

PROPORTIONS An equation that shows that two ratios are equal A ratio that compares a number to 100 PERCENT

PERCENT OF CHANGE RATE AND UNIT RATE

SCALE FACTOR RATIO

PROPORTIONAL VS. NON- PROPORTIONAL SIMILAR- SAME SHAPE, DIFFERENT SIZE

CIRCLE GRAPH BAR GRAPH

GRAPHICAL SUMMARY PERCENT GRAPH

DOT PLOT NUMERICAL DATA

QUALITATIVE QUANTITATIVE

SIMPLE EVENT EVENT EXPERIMENT

COMPOUND EVENT COMPLEMENT

TREE DIAGRAM SAMPLE SPACE

PROBABILITY RANDOM

EXPERIMENTAL PROBABILITY THEORETICAL PROBABILITY

DEPENDENT QUANTITY OUTCOME

INPUT-OUTPUT TABLE INDEPENDENT QUANTITY

PARTS OF AN EQUATION EQUATIONS

y = mx + b (SLOPE OF INTERCEPT FORM OF A LINE) VARIABLE

SURFACE AREA AREA The measure, in square units, of the interior region of a 2- dimensional figure or the surface of a Area 3- dimensional figure.

RECTANGULAR PRISM PRISM

THREE- DIMENSIONAL DIMENSIONS OF A FIGURE

PYRAMIDS 2-DIMENSIONAL SHAPES QUADRILATERALS

AREA AND CIRCUMFERENCE OF A CIRCLE AREA

TYPES OF TRIANGLES PI ≈ (3.14 OR 22/7)

SEMICIRCLE COMPOSITE FIGURE

EQUATION QUARTER CIRCLE

INEQUALITY SOLUTION

DOT PLOT BOX PLOT

MEASURES OF CENTER MEASURES OF CENTRAL TENDENCY

NUMBERIC DATA MEASURES OF SPREAD

DATA DISTRIBUTION INTERQUARTILE RANGE (IQR)

NUMBER LINE VENN DIAGRAM

INTEGERS

NON- NEGATIVE NUMBER NON- POSITIVE NUMBER

RATIONAL NUMBER RATIONAL NUMBERS

DIVIDEND, DIVISOR, QUOTIENT IRRATIONAL NUMBER

FRACTION WHOLE NUMBERS

SI (METRIC) MEASUREMENTS CUSTOMARY MEASUREMENTS

CONVERT BETWEEN MEASUREMENT SYSTEMS

FORMULA ANGLES

SALES TAX TAX

ORIGINAL PRICE SALES TAX RATE

WAGES TOTAL PRICE

INCOME SAVINGS ACCOUNT

BUDGET INCOME TAX

VARIABLE EXPENSIVES FIXED EXPENSIVES

INTEREST NET INCOME

COMPOUND INTEREST SIMPLE INTEREST

COST PRINCIPLE

COUPON OR REBATE DISCOUNT

FINANCIAL LIABILITY FINANCIAL ASSETS

BASIC NEEDS ASSESSMEN T NET WORTH