“Tangent (tan)” Explained https://www.youtube.com/watch?v=XHOmBV4js_E Side opposite of angle / side adjacent to angle. Key Idea: Tangent (tan) In a right triangle, the tangent of an angle is the ratio of the side opposite the angle to the side adjacent to the angle. General Rule: tan(θ) = Opposite Side / Adjacent Side Only applies to right… Continue reading “Tangent (tan)” Explained
“Systems of Inequalities” Explained https://www.youtube.com/watch?v=XHOmBV4js_E Solutions lie in overlapping shaded regions. Key Idea: Systems of Inequalities A system of inequalities consists of two or more inequalities with the same variables.The solution is the set of points that satisfy all inequalities at once. General Rule: Graph each inequality on a coordinate plane. The solution is the… Continue reading “Systems of Inequalities” Explained
“System of Equations” Explained https://www.youtube.com/watch?v=XHOmBV4js_E Plug into DESMOS, then look for intersection. Key Idea: System of Equations A system of equations is a set of two or more equations with the same variables.The solution is the point(s) where the equations are simultaneously true. General Rule: Solve by substitution, elimination, or graphing. Graphically, the solution is… Continue reading “System of Equations” Explained
“Surface Area” Explained https://www.youtube.com/watch?v=XHOmBV4js_E Found by adding all the surface shape areas together. Key Idea: Surface Area Surface area is the total area of all the faces (or surfaces) of a 3D figure. General Rule: Surface Area = Sum of the areas of all faces For prisms and pyramids: add the areas of all flat… Continue reading “Surface Area” Explained
“Supplementary Angles” Explained https://www.youtube.com/watch?v=XHOmBV4js_E 180∘ Key Idea: Supplementary Angles Supplementary angles are two angles whose sum is 180°.They often appear as angles that form a straight line. General Rule: Angle 1 + Angle 2 = 180∘ Each angle is called the supplement of the other. Can be used to find a missing angle when one… Continue reading “Supplementary Angles” Explained
“Sum of Angles in a Triangle” Explained https://www.youtube.com/watch?v=XHOmBV4js_E 180∘ Key Idea: Sum of Angles in a Triangle The sum of the interior angles of any triangle is always: 180∘ General Rule: Angle 1+ Angle 2+ Angle 3 = 180∘Applies to all triangles: scalene, isosceles, and equilateral. Can be used to find a missing angle if… Continue reading “Sum of Angles in a Triangle” Explained
“Standard Quadratic Form” Explained https://www.youtube.com/watch?v=XHOmBV4js_E ax^2 + bx + c.a,b and c are used in quadratic formula. c is y-intercept. Key Idea: Standard Quadratic Form The standard form of a quadratic function is: y=ax^2+bx+c General Rule: a, b, and c are coefficients used in the quadratic formula: x = frac{-b pm sqrt{b^2 – 4ac}}{2a} c represents… Continue reading “Standard Quadratic Form” Explained
“Standard Deviation” Explained https://www.youtube.com/watch?v=XHOmBV4js_E A measure of how far apart numbers are from the average. Key Idea: Standard Deviation Standard deviation measures how spread out the numbers in a data set are from the mean (average). General Rule: A small standard deviation → numbers are close to the mean. A large standard deviation → numbers… Continue reading “Standard Deviation” Explained
“Solution” Explained https://www.youtube.com/watch?v=XHOmBV4js_E A value that makes the math true. Key Idea: Solution A solution is a value that makes an equation or inequality true. General Rule: Substitute the solution into the equation: if both sides are equal, it is correct. Equations can have one, many, or no solutions. Why this matters for the SAT:… Continue reading “Solution” Explained
“Slope” Explained https://www.youtube.com/watch?v=XHOmBV4js_E Rise over run. Rise to your whY, run from your eX. Key Idea: Slope The slope measures the steepness of a line on a coordinate plane. General Rule: slope = rise / run = change in y / change in x “Rise” is the vertical change (change in y). “Run” is the… Continue reading “Slope” Explained
