  • Matrices
• Algebra
• Geometry
• Funciones
• Trigonometry
• Coordinate geometry
• Combinatorics
 Suma y resta Producto por escalar Producto Inversa
 Monomials Polynomials Special products Equations Quadratic equations Radical expressions Systems of equations Sequences and series Inner product Exponential equations Matrices Determinants Inverse of a matrix Logarithmic equations Systems of 3 variables equations
 2-D Shapes Areas Pythagorean Theorem Distances
 Graphs Definition of slope Positive or negative slope Determine slope of a line Ecuación de una recta Equation of a line (from graph) Quadratic function Posición relativa de dos rectas Asymptotes Limits Distancias Continuity and discontinuities
 Sine Cosine Tangent Cosecant Secant Cotangent Trigonometric identities Law of cosines Law of sines
 Ecuación de una recta Posición relativa de dos rectas Distancias Angles in space Inner product

 Scale drawings and scale factors A scale drawing is a drawing of a real object in which all the dimensions are proportional to the real object. A scale drawing can be larger or smaller than the object it represents. The scale is the ratio of the drawing size to the actual size of the object. The ratio of the length of the scale drawing to the corresponding length of the actual object is called as scale factor. The ratio of any two corresponding lengths in two similar geometric figures is called as scale factor. On a map having a scale of 1 inch = 25 miles, the distance between two cities is 3.2 inches.  What is the actual distance between the two cities? Let d = the actual distance between the cities.  Write and solve a proportion.  Use the scale written as a fraction.                               1 × d = 25 × 3.2            Cross products                                   d = 80                    Simplify. The actual distance between the two cities is 80 miles. Designers are creating a child-sized version of a doll’s dress.  If they use a scale of 10 inches = 1 inch and the doll’s dress has a length of 4.5 inches, what is the length of the child-sized dress? Write a proportion using the scale.                         10 × 4.5 = 1 × c                   Find the cross products.                                  45 = c                         Multiply. The child-sized dress is 45 inches long. A botany student drew a sketch of a birch tree using a scale of 3 inches : 21 meters. Find the actual height of the tree, if it measures 2 inches in the sketch The actual height of the tree is meters