Mathematical+Concepts

"The learner will . . ." || **Standard(s)** || **No. of Days** || **Vocabulary Terms** || **Resources** || **Student Learning Activities** || **Assessment** || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   || LA 12.4.1.a LA 12.4.1.c LA 12.4.2.b ||  ||   ||   ||   ||   ||
 * Teachers ** (list) ** : **
 * Textbook** (title, publisher, copyright date):
 * ~ (1) ||~ (2) ||~ (3) ||~ (4) ||~ (5) ||~ (6) ||~ (7) ||~ (8) ||~ (9) ||
 * **Obj #** || **Unit** || **Objective:**
 * || 1 || Simplify exponential expressions || 12.1.3.b
 * ||  || Compute accurately with real numbers || 12.1.3.a
 * ||  || Estimate answers || 12.1.4
 * || 2 || Apply geometric properties to solve problems (e.g., parallel lines, line transversals, similar triangles, congruent triangles, proportions) || 12.2.1.d
 * ||  || Identify and apply right triangle relationships (e.g., sine, cosine, tangent, special right triangles, converse of Pythagorean Theorem) || 12.2.1.e
 * ||  || Know the definitions and basic properties of a circle and use them to prove basic theorems and solve problems || 12.2.1.g
 * ||  || Use coordinate geometry to analyze geometric situations (e.g., parallel lines, perpendicular lines, circle equations) || 12.2.2.a
 * ||  || Apply the midpoint formula || 12.2.2.b
 * ||  || Apply the distance formula || 12.2.2.c
 * ||  || Explain and justify the effects of simple transformations on the ordered pairs of two-dimensional shapes || 12.2.3.a
 * ||  || Use geometric models to visualize, describe, and solve problems (e.g., find the height of a tree; find the amount of paint needed for a room; scale model) || 12.2.4.b
 * ||  || Use strategies to find surface area and volume of complex objects || 12.2.5.a
 * ||  || Apply appropriate units and scales to solve problems involving measurement || 12.2.5.b
 * ||  || Convert between various units of area and volume, such as square feet to square yards || 12.2.5.c
 * ||  || Convert equivalent rates (e.g., feet/second to miles/hour) || 12.2.5.d
 * ||  || Determine surface area and volume of three-dimensional objects (e.g., spheres, cones, pyramids) || 12.2.5.f
 * || 3 || Represent, interpret, and analyze functions with graphs, tables, and algebraic notation and convert among these representations (e.g., linear, non-linear) || 12.3.1.a
 * ||  || Identify domain and range of functions represented in either symbolic or graphical form(e.g., linear, non-linear) || 12.3.1.b
 * ||  || Identify the slope and intercepts of a linear relationship from an equation or graph || 12.3.1.c
 * ||  || Identify characteristics of linear and non-linear functions || 12.3.1.d
 * ||  || Graph linear and non-linear functions || 12.3.1.e
 * ||  || Compare and analyze the rate of change by using ordered pairs, tables, graphs, and equations || 12.3.1.f
 * ||  || Model contextualized problems using various representations (e.g., graphs, tables, one variable equalities, one variable inequalities, linear equations in slope intercept form, inequalities in slope intercept form, system of linear equations with two variables) || 12.3.2.a
 * ||  || Represent a variety of quantitative relationships using linear equations and one variable inequalities || 12.3.2.b
 * ||  || Model contextualized problems using various representations for non-linear functions (e.g., quadratic, exponential, square root, and absolute value) || 12.3.2.d
 * ||  || Simplify algebraic expressions involving exponents (e.g., (3x4)2) || 12.3.3.b
 * ||  || Add and subtract polynomials || 12.3.3.c
 * ||  || Multiply and divide polynomials (e.g., divide x3 – 8 by x – 2, divide x4 – 5x3 – 2x by x2) || 12.3.3.d
 * ||  || Factor polynomials || 12.3.3.e
 * ||  || Identify and generate equivalent forms of linear equations || 12.3.3.f
 * ||  || Solve linear equations and inequalities including absolute value || 12.3.3.g
 * ||  || Add, subtract, and simplify rational expressions || 12.3.3.j
 * ||  || Multiply, divide, and simplify rational expressions || 12.3.3.k
 * ||  || Combine functions by composition, as well as by addition, subtraction, multiplication, and division || 12.3.3.n
 * || 4 || Interpret data represented by the normal distribution and formulate conclusions || 12.4.1.a
 * ||  || Compute, identify, and interpret measures of central tendency (mean, median, mode) when provided a graph or data set || 12.4.1.b
 * ||  || Explain how sample size and transformations of data affect measures of central tendency || 12.4.1.c
 * ||  || Describe the shape and determine spread (variance, standard deviation) and outliers of a data set || 12.4.1.d
 * ||  || Construct a sample space and a probability distribution || 12.4.3.a
 * ||  || Identify dependent and independent events and calculate their probabilities || 12.4.3.b
 * ||  || Use the appropriate counting techniques to determine the probability of an event (e.g., combinations, permutations) || 12.4.3.c
 * ||  || Analyze events to determine if they are mutually exclusive || 12.4.3.d