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Math Concepts
7th Math Concepts
| Question | Answer |
|---|---|
| Slope Intercept Form | y=mx+b |
| Slope | rise over run or change in y over change in xx |
| Constant of Proportionality | what you multiply by x to get y k=y/x y=kx |
| Natural Numbers | 1, 2, 3, 4..... (does not include 0) |
| Absolute Value | Always Positive |
| Simple Probability | desired/total |
| Compound Probability | P(event 1) x P(event 2) |
| Area of a circle | A= (pi) x (r squared) pi=about 3.14 r=radius (half of diameter) |
| Circumference of a circle | Measurement of the perimeter of a circle C=(pi) x d d=diameter |
| Area of a triangle | A=1/2(b x h) |
| Area of a trapezoid | A=1/2 h (b1 + b2) |
| Constant | Number by itself |
| Volume of a Pyramid | V=1/3Bh B=area of base (formula depends on shape of base) |
| Volume of a Prism | V=Bh B=area of base (formula depends on shape of base) |
| Inverse operation | Undoing Operation Multiplication and Division are Inverse, Adding and Subtracting are Inverse. |
| Upper Quartile | Median of the upper half (Median is number in the physical middle.) |
| Upper Quartile | Median of the upper half (Median is number in the physical middle.) |
| Median | Number in the physical middle |
| Mean | Average |
| Mode | Number that appears most frequently |
| Closed Circle on an Inequality Graph | less than or equal to, greater than or equal to. |
| Open Circle on an Inequality Graph | less than or greater than |
| Interquartile Range | UQ minus LQ (or range of whats in the box of a box plot) |
| Range | Maximum minus minimum |
| Commutative Property | Can move numbers or variables around and you get an equivalent expression. x+y = y+x |
| Associative Property | Can group numbers in parentheses and get an equivalent expression. (x+y)+z = x+(y+z) |
| Distributive Property | Can multiply outer term to the first inside term, keep the operand and multiply by the second inside term. 2(x+2) = 2x+4. |
| Percent Equation | Part=Percent x Whole (percent must be in decimal or fraction form) |
| Percent | Per 100 |
| Integers | -2, 4, 0. . . . (negative or positive full numbers and 0) |
| Rational Numbers | Almost all numbers, except decimals that don't repeat or terminate |
| Whole Numbers | 0 and Positive Whole Numbers. |
| m in y=mx+b | slope (rise over run) |
| b in y=mx+b | y-intercept (y coordinate where graph hits the y axis) |
| at most (inequality symbol) | less than or equal to |
| at least (inequality symbol | greater than or equal to |
| Complementary Angles | Add up to 90 |
| Supplementary Angles | Add up 180 |
| Triangle Inequality Theorem (2 sides in triangle must be...) | ....greater than the 3rd side |
| Triangle Angle-Side Relationship : The largest angle is across from... | ...the largest side. (smallest side across from smallest angle...) |
| Rule for adding a negative and a positive number | Different signs : Subtract (take sign of larger number, regardless of sign) |
| 7% as a decimal | .07 |
| Exponents | repeated multiplication (ex: 3 to the 5th power is 3x3x3x3x3) |
| Special Rule for Inequalities | flip sign ONLY when solving by multiplying or dividing by a negative on both sides |
| How long info stays on a credit report | 7 years |
| Net Worth | Assets - Liabilities(Debts) |
| How to solve a conversion or scale drawing problem | proportions (same unit on top, sam on bottom, then cross multiply and solve) |
| dependent variable | y |
| independent variable | x (time is always independent) |
| solving percents with proportions | percent goes over 100, and part over whole. |
| Discount | Original Value-(Percent)(Original Value) |
| Rule for adding 2 negative numbers | Same Signs-Add, use common sign |
| Rule for subtracting a negative number | same as adding ex: 2-(-2) is 4 |
| How to convert from Mixed to Improper | Multiply whole number times denominator and add numerator. This is the new numerator, denominator stays the same. |
| How to convert from Improper to Mixed | Divide (tops in bottoms out) Number on top is the full number, remainder is new numerator. |
| Percent to decimal and decimal to percent | Percent to decimal : 2 decimals to left, Decimal to percent: 2 decimals to right |
| Percent to Fraction | Over 100 |
| Prediction (with probability) | desired/total x larger number |
| Similar Shapes | Equivalent Angles - Side are proportional (solve similar side on top, similar side on bottom and cross multiply) |
| Percent Change Formula | amount of change/original |
| Statistical Question | Must require collecting more than one piece of data |
Created by:
lisa.davies
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