topic: undefined terms, definitions, postulates,...
TRANSCRIPT
Geometry Instructional Resources CRM 1
High School Mathematics Office of Academics Math Department
Topic: Undefined terms, Definitions, Postulates,
Theorems & Conjectures
TEKS
Exemplar
Lesson(s)
Building Blocks of Geometry Lesson - TEKS: G.4A Points, Lines, Planes Intro - TEKS: G.4A
G.4A: distinguish between undefined terms, definitions, postulates,
conjectures, and theorems
Textbook
Resources Geometry (McGraw Hill): Chapter 1: Sections 1.1, 1.4 & 1.5
iTutoring
Links
Links
(User name: austinisd Password: math)
https://www.itutoring.com/video/lesson-1-definition-of-space-points-lines-planes https://www.itutoring.com/video/lesson-4-the-intersection-of-lines-and-planes https://www.itutoring.com/video/lesson-5-postulates-with-points-lines-and-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, Intersections of Postulates of points,
points, lines & planes Lines & planes lines & planes
Geometric notation Introduction Segment addition
to angles Postulate
Angle Addition Postulate
Geometry Instructional Resources CRM 1
High School Mathematics Office of Academics Math Department
Dynamic
Software
Geometer Sketchpad Textbook
(Online Textbook Sketchpads have worksheets under the Resource
Section of the Text. Lessons are identified under each sketchpad.)
Segs_Rays_Lines_Work.gsp (3).gsp
(Lesson 1.1)
Angle_Measure.gsp.gsp
(Lesson 1.3)
Intersecting_Lines_Work.gsp.gsp
(Lesson 1.4)
GeoGebra Files
(GeoGebra works best in Firefox)
Complementary angles
Supplementary angles
Undefined terms in Geometry
Measuring and Classifying Angles
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
Geometry Instructional Resources CRM 1
High School Mathematics Office of Academics Math Department
Topic: Midpoint & Distance Formula TEKS
Exemplar
Lesson(s)
No Lesson
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
Textbook
Resources Geometry (McGraw Hill): Chapter 1: Sections 1.2 & 1.3
iTutoring
Links
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
QR Codes
(Use QR codes on station activities, assignments, and website.)
Definition of Midpoint Formula Distance Formula
Midpoint
Dynamic
Software
Geometer Sketchpad
(Online Textbook Sketchpads have worksheets under the Resource
Section of the Text. Lessons are identified under each sketchpad.)
GeoGebra Files
(GeoGebra works best in Firefox)
Finding Midpoint of Line Segment
Finding Midpoint on a coordinate Plane
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
Geometry Instructional Resources CRM 1
High School Mathematics Office of Academics Math Department
Topic: Constructions
(congruent segments, congruent angles & angle bisector)
TEKS
Exemplar
Lesson(s)
Segment Addition(includes measurement and construction) TEKS: G.5B, G.5C
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
Textbook
Resources Geometry (McGraw Hill): Chapter 1: Sections 1.2 & 1.5 lab
iTutoring
Links
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-congruent-
angles-and-congruent-segments
QR Codes
(Use QR codes on station activities, assignments, and website.)
Angle Bisectors Segment Bisectors Congruent angles
& segments
Dynamic
Software
Geometer Sketchpad Textbook
(Online Textbook Sketchpads have worksheets under the Resource
Section of the Text. Lessons are identified under each sketchpad.)
GeoGebra Files
(GeoGebra works best in Firefox)
Constructing an angle bisector
Constructing an Angle
Duplicate_Segment_Work.gsp.gsp
(Lesson 1.2)
Perpendicular_Bisector_Work.gsp.gsp
(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
Geometry Instructional Resources CRM 2
High School Mathematics Office of Academics Math Department
Topic: Conditional Statements TEKS
Exemplar
Lesson(s)
Defining Inductive & Deductive Reasoning TEKS: G.5A Conditional Statements TEKS: G.4B
G.4A: 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
Textbook
Resources Geometry (McGraw Hill): Chapter 2: Sections 2.1, 2.2, 2.3, 2.4 & 2.5
iTutoring
Links
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-then-conditional-statements https://www.itutoring.com/video/lesson-4-biconditional-statements https://www.itutoring.com/video/lesson-6-the-inverse-and-contrapositive-of-a-conditional-statement https://www.itutoring.com/video/lesson-8-deductive-reasoning-law-of-detachment-and-law-of-syllogism https://www.itutoring.com/video/lesson-10-an-introduction-to-geometric-proofs https://www.itutoring.com/video/lesson-11-proving-algebraic-steps-using-algebraic-properties
QR Codes
(Use QR codes on station activities, assignments, and website.)
Inductive reasoning If then Conditionals Converse of
If then Conditionals
Biconditional Inverse & Contrapositive Deductive Reasoning
of If then Conditionals Law of detachment
Geometry Instructional Resources CRM 2
High School Mathematics Office of Academics Math Department
Introduction to Proving Algebraic
Geometric Proofs steps using Algebraic Properties
Dynamic
Software
Geometer Sketchpad
CRM 2 Related Conditionals.gsp
GeoGebra Files
(GeoGebra works best in Firefox)
Logic Problem (Truth Tables)
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
Geometry Instructional Resources CRM 2
High School Mathematics Office of Academics Math Department
Topic: Vertical Angle Theorems TEKS
Exemplar
Lesson(s)
None
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;
Textbook
Resources Geometry (McGraw Hill): Chapter 1: Section 2.6
iTutoring
Links
User name:
austinisd
Password:
math
Links (User name: austinisd Password: math)
https://www.itutoring.com/video/lesson-12-theorems-involving-angle-
relationships
https://www.itutoring.com/video/lesson-13-introduction-to-geometric-
proofs-with-angles
https://www.itutoring.com/video/lesson-14-introduction-to-geometric-
proofs-with-segments
QR Codes
(Use QR codes on station activities, assignments, and website.)
Theorems involving Introduction to Introduction to
Angle Relationships proofs with angles proofs with segments
Dynamic
Software
Geometer Sketchpad
CRM 3 Vertical Angles.gsp
GeoGebra Files
(GeoGebra works best in Firefox)
Vertical Angles
Vertical Angle Chase
Activities
(Amp It Up,
PBL, other
resources)
Amp It Up Activities: none
Project Based Learning Resources
Anchors of
Support
SAT/PSAT Reference Chart
Geometry Instructional Resources CRM 3
High School Mathematics Office of Academics Math Department
Topic: Angles formed by Parallel lines cut by a Transversal TEKS
Exemplar
Lesson(s)
Parallel lines and transversals – G.6A Proving Angle Relationships By Parallel Lines - G.1E, G.1G, G.6A
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
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-and-angles-formed https://www.itutoring.com/video/lesson-3-parallel-lines-with-transversals-and-angle-theorems https://www.itutoring.com/video/lesson-4-proving-angles-congruent https://www.itutoring.com/video/lesson-5-converse-theorems-with-parallel-lines-and-transversals https://www.itutoring.com/video/lesson-6-proving-lines-are-parallel
QR Codes
(Use QR codes on station activities, assignments, and website.)
Lines with Transversals Parallel lines Proving angles
And angles formed with Transversals Congruent
Converse Theorems Proving Lines are Parallel
Geometry Instructional Resources CRM 3
High School Mathematics Office of Academics Math Department
Dynamic
Software
Geometer Sketchpad
(Online Textbook Sketchpads have worksheets under the Resource
Section of the Text. Lessons are identified under each sketchpad.)
GeoGebra Files
(GeoGebra works best in Firefox)
Constructing Parallel Lines
CRM 3 Parallel Lines.gsp
Parallel_Lines_Work.gsp.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
Geometry Instructional Resources CRM 3
High School Mathematics Office of Academics Math Department
Topic: Endpoints of a segment and its
Perpendicular Bisector
TEKS
Exemplar
Lesson(s)
None
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
Textbook
Resources Geometry (McGraw Hill): Chapter 3: Lesson 3.6
iTutoring
Links
Links
QR Codes
Dynamic
Software
Geometer Sketchpad
(Online Textbook Sketchpads have worksheets under the Resource
Section of the Text. Lessons are identified under each sketchpad.)
GeoGebra Files
(GeoGebra works best in Firefox)
Perpendicular Bisector Construction
Perpendicular Bisector Equidistant
Points on a Perpendicular Bisector
Points on an Angle Bisector Simplifying_Radicals.gsp
Pt_Line_Distance_Work.gsp.gsp
(Lessons 3.6)
Activities
(Amp It Up,
PBL, other
resources)
Amp It Up Activities: none
Project Based Learning Resources
Anchors of
Support
SAT/PSAT Reference Chart