“Model” Explained https://www.youtube.com/watch?v=XHOmBV4js_E An equation that represents a situation. Key Idea: Model A model is an equation or function that represents a real-world situation. General Rule: Variables represent quantities in the situation. Constants or coefficients define relationships or rates. The model can be used to predict, analyze, or describe the scenario. Why this matters for… Continue reading “Modeling” Explained
“Mean” Explained https://www.youtube.com/watch?v=XHOmBV4js_E Sum/number of items. Key Idea: Mean The mean is the average of a set of numbers. It represents the central value of the data. General Rule: Mean = Sum of all items/Number of items Why this matters for the SAT: Mean is a fundamental statistic used in data interpretation and problem-solving. Calculating… Continue reading “Statistic Foundations” Explained
“Margin of Error” Explained https://www.youtube.com/watch?v=XHOmBV4js_E Answer usually is “between” two values. Key Idea: Margin of Error The margin of error represents the range of possible values around a measured or estimated value, reflecting uncertainty. 📌 General Rule: Estimate±Margin of Error The result is usually expressed as “between” two values: Lower Bound = Estimate−MarginUpper Bound=Estimate+Margin Why… Continue reading “Margin of Error” Explained
“Linear Function” Explained https://www.youtube.com/watch?v=XHOmBV4js_E y = mx+b. m = slope. b = y-intercept. Key Idea: Linear Function A linear function models a constant rate of change, represented by a straight line on a graph. General Rule: y=mx+b m = slope (rate of change) b = y-intercept (value of y when x=0) Why this matters for the SAT:… Continue reading “Linear Function” Explained
“Line Tangent to a Circle” Explained https://www.youtube.com/watch?v=XHOmBV4js_E Line that has a slope perpendicular to the radius and intersects the circle at one point. Key Idea: Line Tangent to a Circle A tangent line touches a circle at exactly one point and is perpendicular to the radius at that point of contact. General Rule: The tangent… Continue reading “Tangent Lines” Explained
“Greater Than / Less Than (with Percents)” Explained https://www.youtube.com/watch?v=XHOmBV4js_E (1+-%/100) Key Idea: Greater Than / Less Than (with Percents) When a value increases or decreases by a percent, use the growth/decay factor to calculate the new value. General Rule: New Value=Original Value×(1±%/100) Use + for increase (greater than) Use − for decrease (less than) Why… Continue reading “Percentages” Explained
“Given 2 Points & A Function Type” Explained https://www.youtube.com/watch?v=XHOmBV4js_E Plug points into DESMOS table and use regression to get equation. Key Idea: Finding a Function from Points When you are given two points and a function type, you can determine the equation by using regression tools or solving algebraically. General Rule: Enter the points into… Continue reading “Regression” Explained
“Frequency Table” Explained https://www.youtube.com/watch?v=XHOmBV4js_E Table showing how many times a number appears in a data set. Key Idea: Frequency Table A frequency table displays how many times each value or category appears in a data set. General Rule: One column lists the values or categories. Another column shows their frequencies (counts). It summarizes data clearly… Continue reading “Frequency Table” Explained
“Exponential Function” Explained https://www.youtube.com/watch?v=XHOmBV4js_E y=S(1+-%/100)^x. y = output. S = y-intercept. r = rate of change (1+-%/100). x = input (usually time) Key Idea: Exponential Function An exponential function models situations where a quantity grows or decays by a constant percentage rate over equal intervals. General Rule: y=S(1±%/100)^x y = output (final amount) S = starting value… Continue reading “Exponential Function” Explained
“Equilateral Triangle” Explained https://www.youtube.com/watch?v=XHOmBV4js_E Triangle where all 3 sides are the same and all angles are 60 degrees. Key Idea: Equilateral Triangle An equilateral triangle has all three sides equal and all three angles equal to 60°. General Rule: All sides are congruent. All angles measure 60°. The triangle is both equilateral and equiangular. Why… Continue reading “Triangle Types” Explained
