2.05+GEOMETRY

"The learner will . . ." || **Standard(s)** || **No. of Days** || **Vocabulary Terms** || **Resources** || **Student Learning Activities** || **Assessment** || Students will analyze characteristics, properties, and relationships among geometric shapes and objects LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 1 || point, line, plane, collinear, coplanar, undefined term, space, locus || textbook chapter 1 || practice exercises, notes || quizzes, tests || Apply appropriate units and scales to solve problems involving measurement LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 1 || line segment, precision, between, congruent, construction,relative error || textbook chapter 1 || practice exercises, notes || quizzes, tests || Apply the midpoint formula 12.2.2.c Apply the distance formula 12.2.4.a Sketch and draw appropriate representations of geometric objects using ruler, protractor, or technology LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 1 || midpoint, segment bisector || textbook chapter 1 || practice exercises, notes || quizzes, tests || Students will analyze characteristics, properties, and relationships among geometric shapes and objects 12.2.4.a Sketch and draw appropriate representations of geometric objects using ruler, protractor, or technology LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 1 || degree, ray, opposite rays, angle, sides, vertex, interior, exterior, right angle, acute angle, obruse angle, angle bisector || textbook chapter 1 || practice exercises, notes || quizzes, tests || Students will analyze characteristics, properties, and relationships among geometric shapes and objects 12.2.1.d Apply geometric properties to solve problems (e.g., parallel lines, line transversals, similar triangles, congruent triangles, proportions) LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 1 || adjacent angles, vertical angles, linear pair, complementary angles, supplementary angles || textbook chapter 1 || practice exercises, notes || quizzes, tests || Students will analyze characteristics, properties, and relationships among geometric shapes and objects 12.2.2.a Use coordinate geometry to analyze geometric situations (e.g., parallel lines, perpendicular lines, circle equations) 12.2.5.b Apply appropriate units and scales to solve problems involving measurement LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 1 || polygon, concave, convex, n-gon, regular polygon, perimeter || textbook chapter 1 || practice exercises, notes || quizzes, tests || Analyze properties and relationships among classes of two and three dimensional geometric objects using inductive reasoning and counterexamples LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 2 || conjecture, inductive reasoning, counterexample || textbook chapter 2, worksheets || practice exercises, notes || quizzes, tests || Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 2 || statement, truth value, negation, compound statement, conjunction disjunction, truth table || textbook chapter 2, worksheets || practice exercises, notes || quizzes, tests || Analyze properties and relationships among classes of two and three dimensional geometric objects using inductive reasoning and counterexamples LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 2 || conditional statement, if-then statement, hypothesis, conclusion, related conditionals, converse, inverse, contrapositive, logically equivalent || textbook chapter 2, worksheets || practice exercises, notes || quizzes, tests || Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 2 || deductive reasoning, law of detachment, law of syllogism || textbook chapter 2, worksheets || practice exercises, notes || quizzes, tests || Identify and explain the necessity of and give examples of definitions and theorems 12.2.1.c State and prove geometric theorems using deductive reasoning (e.g., parallel lines with transversals, congruent triangles, similar triangles) LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 2 || postulate, theorem, proof, paragraph proof, informal proof || textbook chapter 2, worksheets || practice exercises, notes || quizzes, tests || State and prove geometric theorems using deductive reasoning (e.g., parallel lines with transversals, congruent triangles, similar triangles) 12.3.3.a Explain/apply the reflexive, symmetric, and transitive properties of equality LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 2 || deductive argument, two-column proof, formal proof || textbook chapter 2, worksheets || practice exercises, notes || quizzes, tests || State and prove geometric theorems using deductive reasoning (e.g., parallel lines with transversals, congruent triangles, similar triangles) LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 4 ||  || textbook chapter 2, worksheets || practice exercises, notes || quizzes, tests || Students will analyze characteristics, properties, and relationships among geometric shapes and objects LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 1 || parallel lines, parallel planes, skew lines, transversal, consecurive interior angles, alternate interior angles, alternate exterior angles, corresponding angles || textbook chapter 3 || practice exercises, notes || quizzes, tests || Students will analyze characteristics, properties, and relationships among geometric shapes and objects 12.2.1.d Apply geometric properties to solve problems (e.g., parallel lines, line transversals, similar triangles, congruent triangles, proportions) LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 1 ||  || textbook chapter 3 || practice exercises, notes || quizzes, tests || Use coordinate geometry to analyze geometric situations (e.g., parallel lines, perpendicular lines, circle equations) LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 1 || slope, rate of change || textbook chapter 3 || practice exercises, notes || quizzes, tests || 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) 12.3.3 Students will represent and solve equations and inequalities LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 1 || slope-intercept form, point-slope form || textbook chapter 3 || practice exercises, notes || quizzes, tests || Students will analyze characteristics, properties, and relationships among geometric shapes and objects 12.2.1.c State and prove geometric theorems using deductive reasoning (e.g., parallel lines with transversals, congruent triangles, similar triangles) 12.2.1.d Apply geometric properties to solve problems (e.g., parallel lines, line transversals, similar triangles, congruent triangles, proportions) LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 1 ||  || textbook chapter 3 || practice exercises, notes || quizzes, tests || Use coordinate geometry to analyze geometric situations (e.g., parallel lines, perpendicular lines, circle equations) 12.2.2.c Apply the distance formula 12.2.4.a Sketch and draw appropriate representations of geometric objects using ruler, protractor, or technology LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 1 || equidistant || textbook chapter 3 || practice exercises, notes || quizzes, tests || Students will analyze characteristics, properties, and relationships among geometric shapes and objects LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 1 || actue triangle, obtuse triangle, right triangle, equiangular triangle, scalene triangle, isosceles triangle, equilateral triangle || textbook chapter 4 || practice exercises, notes || quizzes, tests || Students will analyze characteristics, properties, and relationships among geometric shapes and objects 12.2.1.c State and prove geometric theorems using deductive reasoning (e.g., parallel lines with transversals, congruent triangles, similar triangles) LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 1 || exterior angle, remote interior angles, flow proof, corollary || textbook chapter 4 || practice exercises, notes || quizzes, tests || Students will analyze characteristics, properties, and relationships among geometric shapes and objects 12.2.3.a Explain and justify the effects of simple transformations on the ordered pairs of two-dimensional shapes LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 1 || congruent triangles, congruence transformations || textbook chapter 4 || practice exercises, notes || quizzes, tests || Students will analyze characteristics, properties, and relationships among geometric shapes and objects 12.2.1.c State and prove geometric theorems using deductive reasoning (e.g., parallel lines with transversals, congruent triangles, similar triangles) LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 2 || included angle, included side || textbook chapter 4 || practice exercises, notes || quizzes, tests || Students will analyze characteristics, properties, and relationships among geometric shapes and objects 12.2.1.d Apply geometric properties to solve problems (e.g., parallel lines, line transversals, similar triangles, congruent triangles, proportions) LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 1 || vertex angles, base angles || textbook chapter 4 || practice exercises, notes || quizzes, tests || Student will use coordinate geometry to analyze and describe relationships in the coordinate plane 12.2.2.a Use coordinate geometry to analyze geometric situations (e.g., parallel lines, perpendicular lines, circle equations) LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 1 || coordinate proof || textbook chapter 4 || practice exercises, notes || quizzes, tests || Students will analyze characteristics, properties, and relationships among geometric shapes and objects 12.2.2.a Use coordinate geometry to analyze geometric situations (e.g., parallel lines, perpendicular lines, circle equations) 12.2.2.b Apply the midpoint formula12.2.2.c Apply the distance formula LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 1 || perpendicular bisector, angle bisector, median, altitude || textbook chapter 5 || practice exercises, notes || quizzes, tests || Students will analyze characteristics, properties, and relationships among geometric shapes and objects 12.2.1.d Apply geometric properties to solve problems (e.g., parallel lines, line transversals, similar triangles, congruent triangles, proportions) LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 1 ||  || textbook chapter 5 || practice exercises, notes || quizzes, tests || Students will analyze characteristics, properties, and relationships among geometric shapes and objects 12.2.1.c State and prove geometric theorems using deductive reasoning (e.g., parallel lines with transversals, congruent triangles, similar triangles) LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 1 || indirect proof || textbook chapter 5 || practice exercises, notes || quizzes, tests || Students will analyze characteristics, properties, and relationships among geometric shapes and objects 12.2.1.d Apply geometric properties to solve problems (e.g., parallel lines, line transversals, similar triangles, congruent triangles, proportions) LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 1 ||  || textbook chapter 5 || practice exercises, notes || quizzes, tests || Students will analyze characteristics, properties, and relationships among geometric shapes and objects 12.2.1.d Apply geometric properties to solve problems (e.g., parallel lines, line transversals, similar triangles, congruent triangles, proportions) LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 3 || similar polygons, ratio, proportion, cross products || textbook chapter 6 || practice exercises, notes || quizzes, tests || Students will analyze characteristics, properties, and relationships among geometric shapes and objects 12.2.1.d Apply geometric properties to solve problems (e.g., parallel lines, line transversals, similar triangles, congruent triangles, proportions) 12.2.2.a Use coordinate geometry to analyze geometric situations (e.g., parallel lines, perpendicular lines, circle equations) LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 2 || scale factor, midsegment || textbook chapter 6 || practice exercises, notes || quizzes, tests || Apply geometric properties to solve problems (e.g., parallel lines, line transversals, similar triangles, congruent triangles, proportions) 12.2.1.e Identify and apply right triangle relationships (e.g., sine, cosine, tangent, special right triangles, converse of Pythagorean Theorem) 12.2.2.a Use coordinate geometry to analyze geometric situations (e.g., parallel lines, perpendicular lines, circle equations) 12.2.4.b LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 3 || geometric mean, Pythagorean triple || textbook chapter 7 || practice exercises, notes || quizzes, tests || Identify and apply right triangle relationships (e.g., sine, cosine, tangent, special right triangles, converse of Pythagorean Theorem)12.2.4.b 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) LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 2 || trigonometric ratio, sine, cosine, tangent || textbook chapter 7 || practice exercises, notes || quizzes, tests || Students will analyze characteristics, properties, and relationships among geometric shapes and objects 12.2.1.d Apply geometric properties to solve problems (e.g., parallel lines, line transversals, similar triangles, congruent triangles, proportions) 12.2.4.b 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) LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 2 || law of sines, law of cosines || textbook chapter 7 || practice exercises, notes || quizzes, tests || Students will analyze characteristics, properties, and relationships among geometric shapes and objects LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 1 || interior angles || textbook chapter 8 || practice exercises, notes || quizzes, tests || Students will analyze characteristics, properties, and relationships among geometric shapes and objects 12.2.2.d Prove special types of triangles and quadrilaterals (e.g., right triangles, isosceles trapezoid, parallelogram, rectangle, square) 12.2.4.b 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) LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 5 || parallelogram, rectangle, rhombus, square, trapezoid || textbook chapter 8 || practice exercises, notes || quizzes, tests || Students will analyze characteristics, properties, and relationships among geometric shapes and objects 12.2.2.a Use coordinate geometry to analyze geometric situations (e.g., parallel lines, perpendicular lines, circle equations) LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 1 ||  || textbook chapter 8 || practice exercises, notes || quizzes, tests || Students will analyze characteristics, properties, and relationships among geometric shapes and objects 12.2.1.g Know the definitions and basic properties of a circle and use them to prove basic theorems and solve problems LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 1 || chord, circumference, diameter, radius || textbook chapter 10 || practice exercises, notes || quizzes, tests || Students will analyze characteristics, properties, and relationships among geometric shapes and objects 12.2.1.g Know the definitions and basic properties of a circle and use them to prove basic theorems and solve problems12.2.5.e Find arc length and area of sectors of a circle LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 4 || arc || textbook chapter 10 || practice exercises, notes || quizzes, tests || Students will analyze characteristics, properties, and relationships among geometric shapes and objects 12.2.1.g Know the definitions and basic properties of a circle and use them to prove basic theorems and solve problems LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 2 || tangent, secant || textbook chapter 10 || practice exercises, notes || quizzes, tests || Know the definitions and basic properties of a circle and use them to prove basic theorems and solve problems LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 1 ||  || textbook chapter 10 || practice exercises, notes || quizzes, tests || Students will apply the units, systems, and formulas to solve problems12.2.5.g Know that the effect of a scale factor k on length, area and volume is to multiply each by k, k² and k³, respectively LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 3 || apothem, irregular figure || textbook chapter 11 || practice exercises, notes || quizzes, tests || Students will analyze characteristics, properties, and relationships among geometric shapes and objects LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 1 || polyhedron || textbook chapter 12 || practice exercises, notes || quizzes, tests || Use strategies to find surface area and volume of complex objects 12.2.5.f Determine surface area and volume of three-dimensional objects (e.g., spheres, cones, pyramids) LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 4 || surface area, lateral area || textbook chapter 12 || practice exercises, notes || quizzes, tests || Use strategies to find surface area and volume of complex objects 12.2.5.f Determine surface area and volume of three-dimensional objects (e.g., spheres, cones, pyramids) LA 12.4.1.a Locate, organize, analyze, evaluate, and synthesize information from print and digital resources to create new understandings and defend conclusions. LA 12.4.1.c Use or decipher multiple formats of print and digital text || 3 || volume || textbook chapter 13 || practice exercises, notes || quizzes, tests ||
 * Teacher****:** Julie Hoefs
 * Textbook:** //**Geometry**//, Glencoe, 2004
 * ~ (1) ||~ (2) ||~ (3) ||~ (4) ||~ (5) ||~ (6) ||~ (7) ||~ (8) ||~ (9) ||
 * **Obj #** || **Unit** || **Objective:**
 * 1 || 1 || Id entify and model points, lines, and planes; identify collinear and coplanar points and intersecting lines and planes in space || 12.2.1
 * 2 || 1 || measure segments and determine accuracy of measurement; compute with measures || 12.2.5.b
 * 3 || 1 || find the distance between two points; find the midpoint of a segment, construct segment bisector || 12.2.2.b
 * 4 || 1 || measure and classify angles; identify and use congruent angles and the bisector of an angle; construct congruent angles and an angle bisector || 12.2.1
 * 5 || 1 || identify and use special pairs of angles; identify perpendicular lines || 12.2.1
 * 6 || 1 || identify and name polygons, find perimeters of polygons || 12.2.1
 * 7 || 1 || make conjectures based on inductive reasoning; find counterexamples || 12.2.1.b
 * 8 || 1 || determine truth values of conjunctions and disjunctions; construct truth tables || LA 12.4.1.a
 * 9 || 1 || analyze statements in if-then form, write the converse, inverse, and contrapositive of if-then statements || 12.2.1.b
 * 10 || 1 || use the laws of syllogism and detachment || LA 12.4.1.a
 * 11 || 1 || identify and use basic postulates about points, lines and planes; write paragraph proofs || 12.2.1.a
 * 12 || 1 || use algebra to write two-column proofs; use properties of equality in geometry proofs || 12.2.1.c
 * 13 || 1 || write proofs involving segment addition, segment congruence, supplementary and complementary angles, and congruent and right angles || 12.2.1.c
 * 14 || 1 || identify relationships between two lines or two planes; name angles formed by a pair of lines and a transversal || 12.2.1
 * 15 || 1 || use properties of parallel lines to determine congruent angles; use algebra to find angle measures || 12.2.1
 * 16 || 1 || find slopes of lines; use slopes to identify parallel and perpendicular lines || 12.2.2.a
 * 17 || 1 || write an equation of a line given information about its graph; solve problems by writing equations || 12.3.2.a
 * 18 || 1 || recognize angle conditions that occur with parallel lines, prove that two lines are parallel based on given angle relationships || 12.2.1
 * 19 || 1 || find the distance between a point and a line, and between parallel lines || 12.2.2.a
 * 20 || 2 || identify and classify triangles by angles and sides || 12.2.1
 * 21 || 2 || apply the angle sum theorem and the exterior angle theorem, write flow proofs || 12.2.1
 * 22 || 2 || name and label corresponding parts of congruent triangles, identify congruence transformations || 12.2.1
 * 23 || 2 || prove triangle congruence using SSS, SAS, ASA, and AAS || 12.2.1
 * 24 || 2 || use properties of isosceles and equilateral triangles || 12.2.1
 * 25 || 2 || position and label triangles for use in coordinate proofs, write coordinate proofs || 12.2.2
 * 26 || 2 || identify and use perpendicular bisectors, angle bisectors, medians, and altitudes of triangles || 12.2.1
 * 27 || 2 || apply properties of inequalities relating to the measures of angles and sides of triangles || 12.2.1
 * 28 || 2 || use indirect proof with algebra and geometry || 12.2.1
 * 29 || 2 || apply the triangle inequality theorem and SAS and SSS inequalities || 12.2.1
 * 30 || 2 || identify similar polygons, and use ratios and proportions to solve problems || 12.2.1
 * 31 || 2 || recognize and use proportional parts, corresponding perimeters, altitudes, angle bisectors, and medians of similar triangles to solve problems || 12.2.1
 * 32 || 2 || solve problems using the geometric mean, the pythagorean theorem and its converse || 12.2.1.d
 * 33 || 2 || use trigonometric ratios to solve right triangle problems || 12.2.1.e
 * 34 || 2 || solve triangles using the law of sines and law of cosines || 12.2.1
 * 35 || 3 || investigate interior and exterior angles of polygons || 12.2.1
 * 36 || 3 || recognize and apply the properties of parallelograms, rectangles, rhombi, squares, and trapezoids || 12.2.1
 * 37 || 3 || postion quadrilaterals for use in coordinate proof || 12.2.1
 * 38 || 3 || identify parts of a circle and solve problems involving circumference || 12.2.1
 * 39 || 3 || find arc and angle measures in a circle || 12.2.1
 * 40 || 3 || find measure of segments in circles || 12.2.1
 * 41 || 3 || write the equation of a circle || 12.2.1.g
 * 42 || 4 || find the area of parallelograms, triangles, rhombi, trapezoids, regular polygons, circles and irregular figures || 12.2.5
 * 43 || 4 || identify three-dimensional figures || 12.2.1
 * 44 || 4 || find the surface areas of prisms, cylinders, pyramids, cones, and spheres || 12.2.5.a
 * 45 || 4 || find volumes of prisms, cylinders, pyramids, cones, and spheres || 12.2.5.a