“Slant Height” Explained https://www.youtube.com/watch?v=XHOmBV4js_E For pyramids and cones the slant height is the slanted height of the face. Found with pythagorean theorem applied to height and generally half of the base. Key Idea: Slant Height For pyramids and cones, the slant height is the distance along the face from the base to the apex (tip).… Continue reading “Slant Height” Explained
“Sine (sin)” Explained https://www.youtube.com/watch?v=XHOmBV4js_E Side opposite of angle / hypotenuse. Key Idea: Sine (sin) In a right triangle, the sine of an angle is the ratio of the side opposite the angle to the hypotenuse. General Rule: sin(θ)=Opposite Side / Hypotenuse Only applies to right triangles. Helps find missing side lengths or angles when combined… Continue reading “Sine (sin)” Explained
“Similar Triangles” Explained https://www.youtube.com/watch?v=XHOmBV4js_E Two triangles have the same angles but maybe not the same side lengths. But the trig ratios or side ratios are the same. Key Idea: Similar Triangles Two triangles are similar if they have the same angles.Their side lengths may differ, but the ratios of corresponding sides are equal. General Rule:… Continue reading “Similar” Explained
“Scaling Volume” Explained https://www.youtube.com/watch?v=XHOmBV4js_E When scaling volume, the scale factor is multiplied three times or cubed. Key Idea: Scaling Volume When a 3D figure is scaled, its volume changes according to the cube of the linear scale factor. 📌 General Rule: If the linear scale factor is k, the volume scale factor is k^3. Formula:… Continue reading “Scaling Volume” Explained
“Scaling Area” Explained https://www.youtube.com/watch?v=XHOmBV4js_E When scaling area, the scale factor is multiplied twice or squared. Key Idea: Scaling Area When a figure is scaled, its area changes according to the square of the scale factor. General Rule: If the linear scale factor is k=, the area scale factor is k^2. Formula: New Area = (Scale… Continue reading “Scaling Area” Explained
“Range” Explained https://www.youtube.com/watch?v=XHOmBV4js_E Highest value – Lowest value in a data set. Key Idea: Range The range measures how spread out a data set is.It shows the difference between the highest and lowest values. General Rule: Range = Highest Value−Lowest Value A larger range means the data are more spread out; a smaller range means… Continue reading “Range” Explained
“Radius” Explained https://www.youtube.com/watch?v=XHOmBV4js_E Distance from center of circle to a point on the edge. Key Idea: Radius The radius of a circle is the distance from the center of the circle to any point on its edge. General Rule: All radii (plural of radius) in a circle are equal in length. The diameter is twice… Continue reading “Radius” Explained
“Quadratic System of Equations” Explained https://www.youtube.com/watch?v=XHOmBV4js_E A system of equations with a quadratic equation in it. Key Idea: Quadratic System of Equations A quadratic system of equations includes at least one quadratic equation (an equation with an x^2 term) and another equation, which may be linear or quadratic. General Rule: Solving a quadratic system means finding… Continue reading “Quadratic System of Equations” Explained
“Quadratic Function” Explained https://www.youtube.com/watch?v=XHOmBV4js_E Function that looks like a “u” when graphed. Has 3 forms standard, factor and vertex form. Key Idea: Quadratic Function A quadratic function is a function that creates a U-shaped graph called a parabola.It represents equations where the highest power of x is 2. General Rule: Quadratic functions can be written… Continue reading “Quadratic Function” Explained
“Pythagorean Theorem” Explained https://www.youtube.com/watch?v=XHOmBV4js_E a^2+b^2=c^2 Key Idea: Pythagorean Theorem The Pythagorean Theorem relates the side lengths of a right triangle:the square of the hypotenuse equals the sum of the squares of the two legs. General Rule: For any right triangle: a^2+b^2=c^2 where a and b are the legs, and c is the hypotenuse (the side… Continue reading “Pythagorean Theorem” Explained
