Critical Learning Concepts

9.3.1.2 Compose and decompose two- and three-dimensional figures; use decomposition to determine the perimeter, area, surface area and volume of various figures.

9.3.1.4 Understand and apply the fact that the effect of a scale factor k on length, area and volume is to multiply each by k, k2, and k3, respectively.

9.3.2.4 Construct logical arguments and write proofs.

9.3.2.5 Examine theorems and test conjectures and use technology to do so.

9.3.3.1 Know and apply properties of parallel and perpendicular lines to solve problems and logically justify results.

9.3.3.5 Special Right Triangles

9.3.3.6 Know and apply properties of congruent and similar figures.

9.3.4.1-3 Right Triangle Trig Problem-Solving. Includes decomposing figures and finding areas.

9.3.3.8 Know and apply properties of circles to solve problems.

9.3.4.6 Transformations of polygons on a coordinate plane.

9.3.3.7 Properties of polygons including quadrilaterals and regular polygons

9.3.4.4 Coordinate Geometry including length, slope and midpoint.

9.2.1.1 Understand the definition of a function. Use functional notation and evaluate a function at a given point in its domain.

9.2.1.5 Identify the vertex, line of symmetry and intercepts of the parabola corresponding to aquadratic function, using symbolic and graphical methods, when the function is expressed in the form f(x) = ax² + bx + c, in the form f(x) = a(x-h)² + k, or in factored form.

9.2.1.6 Identify intercepts, zeros, maxima, minima and intervals of increase and decrease from the graph of a function.

9.2.1.7 Understand the concept of an asymptote and identify asymptotes for exponential functions and reciprocals of linear functions, using symbolic and graphical methods.

9.2.1.9 Determine how translations affect the symbolic and graphical forms of a function, and understand how to use technology to examine those translations.

9.2.2.1 Represent and solve problems in various contexts using linear and quadratic functions.

9.2.2.2 Represent and solve problems using exponential functions.

9.2.2.3 Sketch graphs of linear, quadratic and exponential functions, and translate between graphs, tables and symbolic representations, and use graphing technology to graph these functions.

9.2.3.1 Evaluate polynomial and rational expressions and expressions containing radicals and absolute values at specified points in their domains.

9.2.3.2 Operations with polynomials including dividing polynomials by a polynomial of equal or lower degree.

9.2.3.3 Factor common monomial factors from polynomials, factor quadratic polynomials, and factor the difference of two squares.

9.2.3.6 Positive and negative Rational exponents properties to generate equivalent algebraic expressions.

9.2.4.4 Represent relationships in various contexts using systems of linear inequalities, and solve them graphically.