Download Transitional Algebra/Geometry

 Transitional Algebra/Geometry Click HERE for Alaska Mathematics Standards Instructional Focus Course Content •
Use Algebraic terminology, properties, and classifications. •
Solve, graph, and analyze linear equations. •
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Recognize and •
describe the real number system and •
use the properties of •
rational numbers. •
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Graph linear equations using various methods. Solve systems of equations using various methods. Solve absolute value equations and inequalities, and express solutions in various notations. Solve problems involving both rational and irrational numbers. •
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Understand and work with order of operations, commutative, associative, distributive, and identity properties. Understand closure, exponential notation, and equivalency with regard to the solving of equations. Understand rational and irrational numbers, polynomials, and factoring. Understand systems of equations, sets, and compound sentences. Understand rational and radical expressions. Understand relations, functions, and quadratic equations. Use the addition property, the multiplication property, and others to solve linear equations. Graph linear equations by using ordered pairs. Define and identify slopes, intercepts, domain and range with regards to graphing linear equations. Graph linear equations using a table of values, the x and y intercept method, and the point-­‐slope method. Graph and identify parallel and perpendicular lines. Recognize and describe the real number system and use the properties of rational numbers. Use reciprocals in solving equations dealing with rational numbers. Utilize those properties necessary to work with rational numbers. Learn graphing concepts using two coordinate axes and the coordinate plane. Understand and work with the concept of slope as related to the graphing of linear equations Graph using substitution methods, x and y intercepts, and the slope-­‐intercept method Work with and graph parallel and perpendicular lines. Graph horizontal and vertical lines and understand their respective slopes Solve systems of equations using graphing methods Solve systems of equations by substitution. Solve systems by using addition and subtraction methods. Solve systems by using multiplication or division along with addition to solve systems of equations. Determine whether an ordered pair is a solution to the system of equations. Use all of the above methods to solve problems •
Solve and graph conjunctions and disjunctions dealing with inequalities using the concepts of “and” and “or”. Work with and understand equations and inequalities dealing with absolute value •
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Expand the knowledge of rational and irrational numbers. Solve problems using the Pythagorean Theorem. •
Transitional Algebra/Geometry (continued) Instructional Focus Course Content Identify, graph, solve, and evaluate
various non-­‐linear functions. •
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Identify, evaluate, and graph functions. Graph absolute value and quadratic functions. Solve problems dealing with direct and inverse variation. Identify, solve, and analyze quadratic equations using various methods •
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Identify quadratic equations. Write quadratic equations in standard form. Solve quadratic equations by factoring and by using the quadratic formula. Understand and use the basic terms, symbols, properties, and postulates of geometry. •
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Know the undefined terms of geometry. Know the basic definitions of geometry. Be able to identify the basic geometry symbols. Know the basic properties and postulates upon which geometry is built. •
Identify different types of angles, special angle pairs, and the angles formed when two lines are cut by a transversal. Distinguish between intersecting (perpendicular and not), parallels, and skew lines. State and apply postulates and theorems/conjectures about parallels and perpendicular lines. Classify triangles according to sides and to angles. State and apply the theorems/conjectures and corollaries about the measures of the interior and exterior angles of a triangle. Recognize and name convex polygons and regular polygons. Find the measures of interior angles and exterior angles of convex polygons. Identify the corresponding parts of congruent and similar figures (perpendicular and not), parallels, and skew lines. State and apply the properties of similar polygons. •
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Understand angle •
and line •
relationships, alone and within polygons. •
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Instructional Materials (Core) Cord Bridges to Algebra and Geometry, Learning in Context, 3rd edition, Copyright 2010, CORD Communications