Geometry+Version+1


 * = ===Unit=== ||= ===**Essential Questions**=== ||= ===**Concepts/Contents**===

Ch. 2: Reasoning and Proof Ch. 3: Parallel and Perpendicular Lines ||< * Identify and model points,lines,and planes Ch. 5: Relationships in Triangles Ch. 6: Proportions and Similarity Ch. 7: Right Triangles and Trigonometry ||< * Classify triangles Ch. 9: Transformations Ch. 10: Circles ||< * investigate interior and exterior angles of polygons Ch. 12: Surface Area Ch. 13: Volume ||< * Find areas of parallelograms, triangles, rhombi, trapezoids, regular polygons, and circles
 * Text: Glencoe Geometry 2005** ||= ===**Skills**=== ||= ===**Includes Standards Clusters**=== ||= ===**Assessments**=== ||= ===**Supplementary Resources**=== ||
 * = **1: Lines and Angles** || * What are the building blocks of geometry?
 * How can you describe the attributes of a segment or angle?
 * How can you make a conjecture and prove it is true?
 * How do you prove that two lines are perpendicular or parallel?
 * What is the sum of the measures of the angles of a triangle?
 * How do you write the equation of a line in the coordinate plane? || Ch 1: Points, Lines, Planes and Angles
 * Calculate the distance between two points and find the midpoint of a segment
 * Measure and classify angles and identify angle relationships
 * Make conjectures and find counterexamples
 * Verify algebraic and geometric conjectures using informal and formal proof
 * Write proofs involving segment and angle theorems
 * Identify angle relationships that occur with parallel lines and transversals
 * Use slope to analyze a line and write its equations || * Prove geometric theorems
 * Make geometric constructions
 * Prove theorems about lines and angles || Tests, Quizzes, Guided Practice through Kuta Software || Geogebra Software ||
 * = **2: Triangles** || * How do you identify corresponding parts of congruent triangles?
 * How do you show two triangles are congruent?
 * How can you tell if a triangle is isosceles or equilateral?
 * How do you solve problems that involve measurements within triangles?
 * How do you use proportions to find side lengths in similar triangles?
 * How do you show two triangles are similar?
 * How do you identify corresponding parts of similar triangles?
 * How do you find a side length or angle measure in a right triangle?
 * How are trigonometric ratios found and how are they used in similar right triangles? || Ch. 4: Congruent Triangles
 * Apply Angle Sum Theorem and Exterior Angle Theorem
 * Test for triangle congruence using SSS, SAS, ASA, and AAS
 * Use properties of isosceles and equilateral triangles
 * Identify and use perpendicular bisectors, angle bisectors, medians, and altitudes of triangles
 * Apply the Triangle Inequality Theorem
 * Identify similar polygons, and use ratios and proportions to solve problems
 * Recognize and use proportional parts, corresponding perimeters, altitudes, angle bisectors and medians of similar triangles to solve problems
 * Solve problems using the geometric mean and the Pythagorean Theorem
 * Use trigonometric ratios to solve right triangle problems
 * Solve triangles using the Law of Sines and Law of Cosines || * Prove theorems about triangles
 * Use congruence and similarity criteria for triangles to solve problems and prove relationships in geometric figures
 * Prove theorems involving similarity
 * Define trigonometric ratios and solve problems involving right triangles
 * Apply trigonometry to general triangles || Tests, Quizzes, Guided Practice through Kuta Software || Geogebra Software ||
 * = **3: Quadrilaterals and Circles** || * What are the properties of quadrilaterals?
 * How do you change a figure's position without changing its shape?
 * How do you change a figure's size without changing its shape?
 * How do you recognize symmetry in a figure?
 * How can you prove relationships between angles and arcs in a circle?
 * When lines intersect a circle, or within a circle, how do you find the measures of resulting angles, arcs, and segments?
 * How do you find the equation of a circle in the coordinate plane? || Ch. 8: Quadrilaterals
 * Recognize and apply the properties of parallelograms
 * Recognize and apply the properties of rectangles, rhombi, squares and trapezoids
 * Name, draw, and recognize figures that have been reflected, translated, rotated, and dilated
 * Identify parts of a circle and solve problems involving circumference
 * Find arc and angle measures in a circle
 * Find measures of segments in a circle
 * Write the equation of a circle || * Understand and apply theorems about circles
 * Find arc lengths and areas of sectors of circles
 * Apply geometric concepts in modeling situations || Tests, Quizzes, Guided Practice through Kuta Software || Geogebra Software ||
 * = **4. Area and Volume** || * How do you find the area of a polygon or find the circumference and area of a circle?
 * How do perimeters and areas of similar triangles compare?
 * How do you find the surface area and volume of a solid?
 * How do the surface areas and volumes of similar solids compare? || Ch. 11: Areas of Polygons and Circle
 * Find areas of irregular figures
 * Identify 3-D figures
 * Find the lateral and surface areas of prisms, cylinders, pyramids, and cones
 * Find the surface areas of spheres and hemispheres
 * Find volumes of prisms, cylinders, pyramids, cones and spheres || * Explain volume formulas and use them to solve problems
 * Visualize the relationship between 2-D and 3-D objects
 * Apply geometric concepts in modeling situations || Tests, Quizzes, Guided Practice through Kuta Software || Geogebra Software ||