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