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Geometry Instructional Resources Topic: Undefined terms, Definitions, Postulates, Theorems & Conjectures TEKS G.4A: distinguish between undefined terms, definitions, postulates, conjectures, and theorems Exemplar Lesson(s) Building Blocks of Geometry Lesson - TEKS: G.4A Points, Lines, Planes Intro - TEKS: G.4A Textbook Resources Geometry (McGraw Hill): Chapter 1: Sections 1.1, 1.4 & 1.5 iTutoring Links CRM 1 Links (User name: austinisd Password: math) https://www.itutoring.com/video/lesson-1-definition-of-space-pointslines-planes https://www.itutoring.com/video/lesson-4-the-intersection-of-lines-andplanes https://www.itutoring.com/video/lesson-5-postulates-with-points-linesand-planes https://www.itutoring.com/video/lesson-24-geometric-notation https://www.itutoring.com/video/lesson-14-introduction-to-angles https://www.itutoring.com/video/lesson-7-segment-addition-postulate https://www.itutoring.com/video/lesson-17-angle-addition-postulate QR Codes (Use QR codes on station activities, assignments, and website.) Definition of space, points, lines & planes Geometric notation Intersections of Lines & planes Introduction to angles Postulates of points, lines & planes Segment addition Postulate Angle Addition Postulate High School Mathematics Office of Academics Math Department Geometry Instructional Resources Geometer Sketchpad Textbook (Online Textbook Sketchpads have worksheets under the Resource Section of the Text. Lessons are identified under each sketchpad.) CRM 1 GeoGebra Files (GeoGebra works best in Firefox) Complementary angles Supplementary angles Undefined terms in Geometry Measuring and Classifying Angles Segs_Rays_Lines_Work.gsp (3).gsp Dynamic Software (Lesson 1.1) Angle_Measure.gsp.gsp (Lesson 1.3) Intersecting_Lines_Work.gsp.gsp (Lesson 1.4) Activities (Amp It Up, PBL, other resources) Amp It Up Activities: None Engaging Mathematics _ points _ lines _ planes Project Based Learning Resources Anchors of Support Special Ed Resource or Inclusion Class SAT/PSAT Reference Chart Geometry Vocabulary Foldables High School Mathematics Office of Academics Math Department Geometry Instructional Resources Topic: Midpoint & Distance Formula Exemplar Lesson(s) Textbook Resources iTutoring Links No Lesson Geometry (McGraw Hill): Chapter 1: Sections 1.2 & 1.3 Links (User name: austinisd Password: math) https://www.itutoring.com/video/lesson-8-definition-of-a-midpoint https://www.itutoring.com/video/lesson-9-midpoint-formula https://www.itutoring.com/video/lesson-13-distance-formula TEKS G.2A: determine the coordinates of a point that is a given fractional distance less than one from one end of a line segment to the other in one- and two-dimensional coordinate systems, including finding the midpoint G.2B: derive and use the distance, slope, and midpoint formulas to verify geometric relationships, including congruence of segments and parallelism or perpendicularity of pairs of lines QR Codes (Use QR codes on station activities, assignments, and website.) Definition of Midpoint Geometer Sketchpad Dynamic Software (Online Textbook Sketchpads have worksheets under the Resource Section of the Text. Lessons are identified under each sketchpad.) Activities (Amp It Up, PBL, other resources) Amp It Up Activities: G2.A, G.2B Project Based Learning Resources Anchors of Support SAT/PSAT Reference Chart High School Mathematics CRM 1 Office of Academics Midpoint Formula Distance Formula GeoGebra Files (GeoGebra works best in Firefox) Finding Midpoint of Line Segment Finding Midpoint on a coordinate Plane Math Department Geometry Instructional Resources Topic: Constructions (congruent segments, congruent angles & angle bisector) Exemplar Lesson(s) Segment Addition(includes measurement and construction) TEKS: G.5B, G.5C Textbook Resources Geometry (McGraw Hill): Chapter 1: Sections 1.2 & 1.5 lab iTutoring Links CRM 1 TEKS G.5B: construct congruent segments, congruent angles, a segment bisector, an angle bisector, perpendicular lines, the perpendicular bisector of a line segment, and a line parallel to a given line through a point not on a line using a compass and a straightedge G.5C: use the constructions of congruent segments, congruent angles, angle bisectors, and perpendicular bisectors to make conjectures about geometric relationships Links (User name: austinisd Password: math) https://www.itutoring.com/video/lesson-16-angle-bisectors https://www.itutoring.com/video/lesson-11-segment-bisectors formula https://www.itutoring.com/video/lesson-22-definition-of-congruentangles-and-congruent-segments QR Codes (Use QR codes on station activities, assignments, and website.) Angle Bisectors Segment Bisectors Congruent angles & segments Geometer Sketchpad Textbook Dynamic Software (Online Textbook Sketchpads have worksheets under the Resource Section of the Text. Lessons are identified under each sketchpad.) Duplicate_Segment_Work.gsp.gsp Perpendicular_Bisector_Work.gsp.gsp (Lesson 1.2) (Lesson 1.5 lab) Activities (Amp It Up, PBL, other resources) Amp It Up Activities: G.5B Project Based Learning Resources Anchors of Support SAT/PSAT Reference Chart High School Mathematics Office of Academics GeoGebra Files (GeoGebra works best in Firefox) Constructing an angle bisector Constructing an Angle Math Department Geometry Instructional Resources Topic: Conditional Statements CRM 2 TEKS G.4A: Exemplar Lesson(s) Defining Inductive & Deductive Reasoning TEKS: G.5A Conditional Statements TEKS: G.4B Textbook Resources Geometry (McGraw Hill): Chapter 2: Sections 2.1, 2.2, 2.3, 2.4 & 2.5 iTutoring Links distinguish between undefined terms, definitions, postulates, conjectures, and theorems G.4B: identify and determine the validity of the converse, inverse, and contrapositive of a conditional statement and recognize the connection between a biconditional statement and a true conditional statement with a true converse G.4C: verify that a conjecture is false using a counterexample G.5A: investigate patterns to make conjectures about geometric relationships, including angles formed by parallel lines cut by a transversal, criteria required for triangle congruence, special segments of triangles, diagonals of quadrilaterals, interior and exterior angles of polygons, and special segments and angles of circles choosing from a variety of tools QR Codes (Use QR codes on station activities, assignments, and website.) Links (User name: austinisd Password: math) https://www.itutoring.com/video/lesson-1-inductive-reasoning https://www.itutoring.com/video/lesson-2-if-then-conditional-statements https://www.itutoring.com/video/lesson-3-the-converse-of-if-thenconditional-statements https://www.itutoring.com/video/lesson-4-biconditional-statements https://www.itutoring.com/video/lesson-6-the-inverse-andcontrapositive-of-a-conditional-statement Inductive reasoning https://www.itutoring.com/video/lesson-8-deductive-reasoning-law-ofdetachment-and-law-of-syllogism https://www.itutoring.com/video/lesson-10-an-introduction-to-geometricproofs https://www.itutoring.com/video/lesson-11-proving-algebraic-steps-usingalgebraic-properties Biconditional High School Mathematics Office of Academics If then Conditionals Converse of If then Conditionals Inverse & Contrapositive Deductive Reasoning of If then Conditionals Law of detachment Math Department Geometry Instructional Resources CRM 2 Introduction to Geometric Proofs Geometer Sketchpad Dynamic Software GeoGebra Files (GeoGebra works best in Firefox) Logic Problem (Truth Tables) CRM 2 Related Conditionals.gsp Activities (Amp It Up, PBL, other resources) Amp It Up Activities: G.4B, G.4C, G.5A Engaging Mathematics _ Counter Example_Inductive Reasoning Project Based Learning Resources Logic Activity Anchors of Support SAT/PSAT Reference Chart Special Ed Resource or Inclusion Class High School Mathematics Proving Algebraic steps using Algebraic Properties Office of Academics Math Department Geometry Instructional Resources CRM 2 Topic: Vertical Angle Theorems Exemplar Lesson(s) Textbook Resources iTutoring Links User name: austinisd Password: math TEKS G.6A: verify theorems about angles formed by the intersection of lines and line segments, including vertical angles, and angles formed by parallel lines cut by a transversal and prove equidistance between the endpoints of a segment and points on its perpendicular bisector and apply these relationships to solve problems; None Geometry (McGraw Hill): Chapter 1: Section 2.6 Links (User name: austinisd Password: math) https://www.itutoring.com/video/lesson-12-theorems-involving-anglerelationships QR Codes (Use QR codes on station activities, assignments, and website.) https://www.itutoring.com/video/lesson-13-introduction-to-geometricproofs-with-angles https://www.itutoring.com/video/lesson-14-introduction-to-geometricproofs-with-segments Theorems involving Angle Relationships Geometer Sketchpad Dynamic Software Activities (Amp It Up, PBL, other resources) Anchors of Support Introduction to proofs with angles Introduction to proofs with segments GeoGebra Files (GeoGebra works best in Firefox) Vertical Angles Vertical Angle Chase CRM 3 Vertical Angles.gsp Amp It Up Activities: none Project Based Learning Resources SAT/PSAT Reference Chart High School Mathematics Office of Academics Math Department Geometry Instructional Resources Topic: Angles formed by Parallel lines cut by a Transversal Exemplar Lesson(s) Parallel lines and transversals – G.6A Proving Angle Relationships By Parallel Lines - G.1E, G.1G, G.6A Textbook Resources Geometry (McGraw Hill): Chapter 3: Lessons 3.1, 3.2, 3.5 & 3.6 iTutoring Links Links (User name: austinisd Password: math) https://www.itutoring.com/video/lesson-2-lines-with-transversals-andangles-formed https://www.itutoring.com/video/lesson-3-parallel-lines-withtransversals-and-angle-theorems https://www.itutoring.com/video/lesson-4-proving-angles-congruent https://www.itutoring.com/video/lesson-5-converse-theorems-withparallel-lines-and-transversals https://www.itutoring.com/video/lesson-6-proving-lines-are-parallel High School Mathematics CRM 3 TEKS G.5A: investigate patterns to make conjectures about geometric relationships, including angles formed by parallel lines cut by a transversal, criteria required for triangle congruence, special segments of triangles, diagonals of quadrilaterals, interior and exterior angles of polygons, and special segments and angles of circles choosing from a variety of tools; G.5B: construct congruent segments, congruent angles, a segment bisector, an angle bisector, perpendicular lines, the perpendicular bisector of a line segment, and a line parallel to a given line through a point not on a line using a compass and a straightedge; G.6A: verify theorems about angles formed by the intersection of lines and line segments, including vertical angles, and angles formed by parallel lines cut by a transversal and prove equidistance between the endpoints of a segment and points on its perpendicular bisector and apply these relationships to solve problems QR Codes (Use QR codes on station activities, assignments, and website.) Lines with Transversals And angles formed Parallel lines with Transversals Converse Theorems Proving Lines are Parallel Office of Academics Proving angles Congruent Math Department Geometry Instructional Resources Geometer Sketchpad Dynamic Software (Online Textbook Sketchpads have worksheets under the Resource Section of the Text. Lessons are identified under each sketchpad.) CRM 3 GeoGebra Files (GeoGebra works best in Firefox) Constructing Parallel Lines Parallel_Lines_Work.gsp.gsp CRM 3 Parallel Lines.gsp (Lessons 3.1 & 3.2) Activities (Amp It Up, PBL, other resources Amp It Up Activities: G.6A Engaging Mathematics _ Angles formed by Parallel Lines Creative Learning: Dance - Dance Transversal Project Based Learning Resources Anchors of Support SAT/PSAT Reference Chart Special Ed Resource or Inclusion Class High School Mathematics Office of Academics Math Department Geometry Instructional Resources Topic: Endpoints of a segment and its Perpendicular Bisector Exemplar Lesson(s) Textbook Resources CRM 3 TEKS G.5C: use the constructions of congruent segments, congruent angles, angle bisectors, and perpendicular bisectors to make conjectures about geometric relationships G.6A: verify theorems about angles formed by the intersection of lines and line segments, including vertical angles, and angles formed by parallel lines cut by a transversal and prove equidistance between the endpoints of a segment and points on its perpendicular bisector and apply these relationships to solve problems QR Codes None Geometry (McGraw Hill): Chapter 3: Lesson 3.6 Links iTutoring Links Geometer Sketchpad Dynamic Software (Online Textbook Sketchpads have worksheets under the Resource Section of the Text. Lessons are identified under each sketchpad.) Simplifying_Radicals.gsp Pt_Line_Distance_Work.gsp.gsp GeoGebra Files (GeoGebra works best in Firefox) Perpendicular Bisector Construction Perpendicular Bisector Equidistant Points on a Perpendicular Bisector Points on an Angle Bisector (Lessons 3.6) Activities (Amp It Up, PBL, other resources) Anchors of Support Amp It Up Activities: none Project Based Learning Resources SAT/PSAT Reference Chart High School Mathematics Office of Academics Math Department
