THE PRIDE IS IN CGMS



|Tables |Hypotenuse |Equations |Pick Up X |

|X Y |is the diagonal and the longest side of a right | |Slope-Intercept Form |

|Input Output |triangle. |Distribute parentheses: multiply the outside number |To solve for Y: |

|Independent Dependent |The sides of the triangle are called legs. |by all the numbers inside. | |

|Domain Range | |Combine like terms: the ones with the same letters |Pick up the X term and move it to the other side. |

|Left/right Up/Down |Pythagorean Theorem is a2+b2=c2 |Add or Subtract to move a term to the other side by |Change it to the other sign |

|F(x) | |doing the OPPOSITE. |Divide by the number in front of y. |

|A point is (x,y) |To find the hypotenuse square the sides and add the |Multiply or DIVIDE by the number in front of the | |

| |answers. Then take the square root. |letter. |The number in front of x is the slope and the number |

|To see the Table on the calculator press 2nd Graph | |To solve equations on the calculator: |by itself is the y-intercept. Y=mx+b |

| |To find a leg square the numbers given and subtract |Press Y= and type the left side of the equation in Y1 | |

|A function will not have any x repeated. In other |the answers. Then take the square root. |and the right side of the equation in Y2. Then Press |To graph the line on the calculator Press y= and type |

|words no points will be stacked on top of each other. | |2nd Trace 5 Enter, Enter , Enter and “X” is your |in the rest of the equation. |

| | |answer. | |

|Real Number System |Inequalities |Dilations |Equations (Linear) |

|Non-Real Numbers-Undefined and Imaginary |One Variable | | |

|Undefined- when the denominator is 0 | |Reduce-to make smaller (ratio smaller than 1) |Linear means line |

|Imaginary- when there is a negative under the square |Open circle for < and > |Enlarge-to make bigger (ratio bigger than 1) |Nonlinear not a straight line |

|root |Closed circle for ≥ and ≤ |Preserve-to make a copy (ratio equal to 1) | |

|Real- Almost every thing |Shade to the right for > and ≥ | |Slope: rise/run , (M or A), steepness, rate of |

|Rational- any number that can be written as a |Shade to the left for < and ≤ |To find the scale factor: |change , “miles PER hour” |

|fraction, includes whole numbers, integers, repeating | | | |

|and terminating decimals |Solve the same way as equations except when dividing |New coordinate |Y2 –Y1 |

|Irrational-any decimal that is nonrepeating AND |by a negative you must flip the symbol....... | |M= |

|nonterminating i.e. it keeps going and going without a|< becomes >. |Old coordinate |X2—X1 |

|pattern |If the variable is on the right side you must read it | | |

|Integers- positive and negative whole numbers (no |backwards. |To find the new coordinate: Multiply the old |Y-Intercept: The beginning, the fixed amount, “B”, |

|decimals and no fractions) |If there are two symbols the graph meets in the |coordinate by the scale factor |where the line crosses the y-axis |

|Whole Numbers-0,1,2,3,4,5….. |middle. | | |

|Natural Numbers-1,2,3,4,5,6…. | |To find the old coordinate: Divide the new by the |X-intercept: Where the line crosses the x-axis |

| |To solve inequalities using a calculator type the |scale factor | |

| |whole inequality in Y1 Use 2nd Math to find the | |Y=mx+b |

| |symbol you need. Then press graph and trace to locate| | |

| |where the line begins. | | |

|Inequalities |Scatter Plots |Indirect Measurement/Percents |Navigating the Calculator |

|Two Variables | | | |

| |Positive Correlation-when both variables increase or |To find a missing side or to find a value that can’t |To change a decimal to a fraction: |

|Solve the inequality for “y” |decrease |be measured. Use proportions, match your units: |MATH, Enter, Enter |

|If you divide by a negative you must flip the symbol. |Negative Correlation-when one variable increases and | | |

|Press Y= and type in the inequality. |the other decreases. |Shadow/height= shadow/height |To enter a fraction just use the division key |

|Move the cursor to the far left of the “Y” and press |No Correlation-when there is no pattern | | |

|enter until the triangle you need appears. | |Left side/Right side= Left Side/Right Side |When entering fractions or exponents always use |

|(To get the shading choose the upper triangle for |Line of best fit should go through the middle of the | |parentheses |

|greater than and the lower triangle for less than.) |points. |Is/of=%/100 | |

|Press Graph | | |To find the equation of the line of best fit: |

|Press 2nd Graph to see the table of points. |To find the line of best fit equation: |Percent of change: |STAT Enter |

| | |Amount of change/Original amount |L1 for the x values (or the first column or row) |

| |STAT Enter |Then move the decimal two places to the right to make |L2 for the y values (or the second column or row) |

| |L1 for the x values (or the first column or row) |it a percent |STAT, right arrow, 4, Enter |

| |L2 for the y values (or the second column or row) | | |

| |STAT, right arrow, 4, Enter | | |

|Changing Dimensions |Geometry |Measures of Central Tendency |Square and Cube Roots |

|To find the dimension ratio divide: |Perimeter: add ALL sides |Mean-average; add up all the numbers and divide by the| |

| |Circumference of a circle (perimeter): 2∏r |amount of numbers |Square roots are the opposite of squaring a number |

|New area/volume |Area of a Square: side X side |Median- the middle number (numbers must be in order) |like x2 . |

| |Area of a rectangle: length X width |Mode-most repeated number | |

|Old area/volume |Area of a triangle: ½ bh |Range-highest minus the lowest |*If you are given the area of a square and asked to |

| |Area of a trapezoid: ½ h (b1+b2) | |find a side length take the square root! |

|For area and volume: |Area of a Circle: [pic] |Interquartile Range- upper quartile minus the lower | |

| | |quartile |Cube roots are the opposite of cubing a number like |

|Double 1 |Volume of a Prism/Cylinder: Bh | |x3. |

|2 times bigger |Volume of a Pyramid/Cone: Bh/3 |Lower Quartile-the median of the first half of the | |

| |B=AREA of the BASE |data |^ is the key used for exponents |

|Triple 1 | |Upper Quartile-the median of the second half of the | |

|3 |Surface area: |data |2nd x2 to type in square roots |

| |Side of a cylinder: 2∏rh | |3 MATH 5 to find a cube root |

|Quadruple 1 |Cone: [pic] + [pic] where l is the slant height of | | |

|4 |the cone | | |

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|Double 2 | | | |

|4 | | | |

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|Triple 2 | | | |

|9 | | | |

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|Quadruple 2 | | | |

|16 | | | |

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|Double 3 | | | |

|8 | | | |

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|Triple 3 | | | |

|27 | | | |

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|Quadruple 3 | | | |

|64 | | | |

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