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BROWNSVILLE INDEPENDENT SCHOOL DISTRICT 2016-2017 CURRICULUM FRAMEWORKS
2nd SIX WEEKS
Subject: Geometry Grade: High School
Red – denotes Readiness Standard Underlined – denotes new TEKS to grade level
Week #1 Reporting Categories Texas Essential Knowledge and Skills Textbook Topics ELPS CCRS
Monday Sept. 26,
2016
Category 1: Logical Argument and
Constructions
Process Standards G.1F
Analyze mathematical relationships to connect and communicate mathematical ideas
Topic 2 Lesson 3: Biconditionals and
Definitions
Speaking Strategies
3G
III.A.2 III.D.1 VII.B.2 IX.C.3
Readiness Standards NA
Supporting Standards 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
Tuesday Sept. 27,
2016
Category 1: Logical Argument and
Constructions
Process Standards G.1F
Analyze mathematical relationships to connect and communicate mathematical ideas
Topic 2 Lesson 3: Biconditionals and
Definitions
Reading Strategies
4G
III.D.1 VIII.B.2 IX.A.3
Readiness Standards NA
Supporting Standards 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
Wednesday Sept. 28,
2016
Category 3: Proof and Congruence
Process Standards G.1G
Display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication Topic 2 Lesson 5:
Reasoning in Algebra and Geometry
Reading Strategies
4G
III.D.1 VIII.B.2 IX.A.3
G.6* Use the process skills with deductive reasoning to prove and apply theorems by using a variety of methods such as coordinate, transformational, and axiomatic and formats such as two-column, paragraph, and flow chart.
Supporting Standards NA
Thursday Sept. 29,
2016
Category 3: Proof and Congruence
Process Standards G.1G
Display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication Topic 2 Lesson 5:
Reasoning in Algebra and Geometry
Reading Strategies
4G
III.D.1 VIII.B.2 IX.A.3
G.6* Use the process skills with deductive reasoning to prove and apply theorems by using a variety of methods such as coordinate, transformational, and axiomatic and formats such as two-column, paragraph, and flow chart.
Supporting Standards NA
Friday Sept. 30,
2016
Category 3: Proof and Congruence
Process Standards G.1G
Display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication Topic 2 Lesson 5:
Reasoning in Algebra and Geometry
Speaking Strategies
3E
III.C.1 III.D.1 VII.A.4 VIII.B.2 IX.C.3
Readiness Standards G.6*
Use the process skills with deductive reasoning to prove and apply theorems by using a variety of methods such as coordinate, transformational, and axiomatic and formats such as two-column, paragraph, and flow chart.
Supporting Standards NA
BROWNSVILLE INDEPENDENT SCHOOL DISTRICT 2016-2017 CURRICULUM FRAMEWORKS
2nd SIX WEEKS
Subject: Geometry Grade: High School
Red – denotes Readiness Standard Underlined – denotes new TEKS to grade level
Week #2 Reporting Categories Texas Essential Knowledge and Skills Textbook Topics ELPS CCRS
Monday Oct. 3, 2016
Category 3: Proof and Congruence
Process Standards G.1D
Communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate
Topic 2 Lesson 6: Prove Angles Congruent
Speaking Strategies
3E
III.C.1 III.D.1 VII.A.4 VIII.B.2 IX.C.3
Readiness Standards 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
Supporting Standards NA
Tuesday Oct. 4, 2016
Category 3: Proof and Congruence
Process Standards G.1D
Communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate
Topic 2 Lesson 6: Prove Angles Congruent
Speaking Strategies
3C
III.A.2 III.D.1 VII.A.4 IX.C.3
Readiness Standards 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
Supporting Standards NA
Wednesday Oct. 5, 2016
Category 1
Category 3
Process Standards
G.1D G.1F G.1G Review for Assessment I
TEKS COVERED
Topic 2 Lessons 1, 2, 4, 5, & 6
Review for Assessment I
Strategies for:
Reading 4G Speaking
3C, 3E, 3G
CCRS Covered Readiness
Standards G.4C G.6A
Supporting Standards G.4B
Thursday Oct. 6, 2016
Category 1
Category 3
Process Standards
G.1D G.1F G.1G Assessment I
TEKS COVERED
Topic 2 Lessons 1, 2, 4, 5, & 6
Assessment I
Strategies for:
Reading 4G Speaking
3C, 3E, 3G
CCRS Covered
Readiness Standards
G.4C G.6A
Supporting Standards G.4B
Friday Oct. 7, 2016
Staff Development Day
* denotes Foundational to Knowledge and Skills G.6
BROWNSVILLE INDEPENDENT SCHOOL DISTRICT 2016-2017 CURRICULUM FRAMEWORKS
2nd SIX WEEKS
Subject: Geometry Grade: High School
Red – denotes Readiness Standard Underlined – denotes new TEKS to grade level
Week #3 Reporting Categories Texas Essential Knowledge and Skills Textbook Topics ELPS CCRS
Monday Oct. 10,
2016
Columbus Day Holiday
Tuesday Oct. 11,
2016
Category 3: Proof and Congruence
Process Standards G.1F
Analyze mathematical relationships to connect and communicate mathematical ideas
Topic 3 Lesson 1 Lines and Angles
Listening Strategies
2C
III.A.1 IX.A.3 X.B.3
Readiness Standards 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
Supporting Standards
Wednesday Oct. 12,
2016
Category 3: Proof and Congruence
Process Standards G.1G
Display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication
Topic 3 Lesson 2 Properties of Parallel Lines
Listening Strategies
2C
III.A.1 IX.A.3 X.B.3
Readiness Standards 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
Supporting Standards
Thursday Oct. 13,
2016
Category 3: Proof and Congruence
Process Standards G.1F
Analyze mathematical relationships to connect and communicate mathematical ideas
Topic 3 Lesson 2 Properties of Parallel Lines
Listening Strategies
2C
III.A.1 IX.A.3 X.B.3
Readiness Standards 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
Supporting Standards
Friday Oct. 14,
2016
Category 1: Logical Argument and
Constructions
Process Standards G.1G
Display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication
Topic 3 Lesson 3 Proving Lines Parallel
Listening Strategies
2C
III.A.1 IX.A.3 X.B.3
Readiness Standards
Supporting Standards G.5C
Use the constructions of congruent segments, congruent angles, angle bisectors, and perpendicular bisectors to make conjectures about geometric relationships
BROWNSVILLE INDEPENDENT SCHOOL DISTRICT 2016-2017 CURRICULUM FRAMEWORKS
2nd SIX WEEKS
Subject: Geometry Grade: High School
Red – denotes Readiness Standard Underlined – denotes new TEKS to grade level
Week #4 Reporting Categories Texas Essential Knowledge and Skills Textbook Topics ELPS CCRS
Monday Oct. 17,
2016
Category 1: Logical Argument and
Constructions
Process Standards G.1G
Analyze mathematical relationships to connect and communicate mathematical ideas Topic 3 Lesson 3
Proving Lines Parallel
Listening Strategies
2C
III.A.2 VIII.A.1
IX.C.2
Readiness Standards NA
Supporting Standards G.5C
Use the constructions of congruent segments, congruent angles, angle bisectors, and perpendicular bisectors to make conjectures about geometric relationships
Tuesday Oct. 18,
2016
Category 3: Proof and Congruence
Process Standards G.1G
Analyze mathematical relationships to connect and communicate mathematical ideas
Topic 3 Lesson 4 Parallel and
Perpendicular Lines
Speaking Strategies
3H
III.A.2 VIII.A.2 IX.C.3 X.B.3
Readiness Standards 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
Supporting Standards NA
Wednesday Oct. 19,
2016
Category 3: Proof and Congruence
Process Standards G.1G
Analyze mathematical relationships to connect and communicate mathematical ideas
Topic 3 Lesson 4 Parallel and
Perpendicular Lines
Speaking Strategies
3H
III.A.2 VIII.A.2 IX.C.3 X.B.3
Readiness Standards 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
Supporting Standards NA
Thursday Oct. 20,
2016
Category 1
Category 3
Process Standards
G.1F G.1G
Review for Assessment II TEKS COVERED
Topic 3 Lessons 1, 2, 3 & 4
Review for Assessment II
Strategies for:
Listening 2C
Speaking 3H
CCRS Covered
Readiness Standards G.6A
Supporting Standards G.5C
Friday Oct. 21,
2016
Category 1
Category 3
Process Standards
G.1F G.1G
Assessment II TEKS COVERED
Topic 3 Lessons 1, 2, 3 & 4
Assessment II
Strategies for:
Listening 2C
Speaking 3H
CCRS Covered
Readiness Standards G.6A
Supporting Standards G.5C
BROWNSVILLE INDEPENDENT SCHOOL DISTRICT 2016-2017 CURRICULUM FRAMEWORKS
2nd SIX WEEKS
Subject: Geometry Grade: High School
Red – denotes Readiness Standard Underlined – denotes new TEKS to grade level
Week #5 Reporting Categories Texas Essential Knowledge and Skills Textbook Topics ELPS CCRS
Monday Oct. 24,
2016
Category 2: Coordinate and
Transformational Geometry
Process Standards G.1D
Communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate Topic 3 Lesson 7
Graph and Write Linear Equations
Speaking Strategies
3D
II.C.1 III.C.1 IX.C.1
Readiness Standards 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
Supporting Standards NA
Tuesday Oct. 25,
2016
Category 2: Coordinate and
Transformational Geometry
Process Standards G.1D
Communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate Topic 3 Lesson 7
Graph and Write Linear Equations
Speaking Strategies
3D
II.C.1 III.C.1 IX.C.1
Readiness Standards 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
Supporting Standards NA
Wednesday Oct. 26,
2016
Category 2: Coordinate and
Transformational Geometry
Process Standards G.1D
Communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate Topic 3 Lesson 7
Proving Lines Parallel and Perpendicular
Speaking Strategies
3D
II.C.1 III.C.1 IX.C.1
Readiness Standards 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
Supporting Standards
NA
Thursday Oct. 27,
2016
Category 2: Coordinate and
Transformational Geometry
Process Standards G.1B
Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution
Topic 3 Lesson 8 Proving Lines Parallel and
Perpendicular
Learning Strategies
1A
II.C.1 III.A.1 III.C.1
VIII.A.2 Readiness Standards G.2C Determine an equation of a line parallel or perpendicular to a given
line that passes through a given point Supporting
Standards NA
Friday Oct. 28,
2016
Category 2: Coordinate and
Transformational Geometry
Process Standards G.1B
Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution Topic 3 Lesson 8
Proving Lines Parallel and Perpendicular
Learning Strategies
1A
II.C.1 III.A.1 III.C.1
VIII.A.2
Readiness Standards G.2C Determine an equation of a line parallel or perpendicular to a given
line that passes through a given point
Supporting Standards NA
BROWNSVILLE INDEPENDENT SCHOOL DISTRICT 2016-2017 CURRICULUM FRAMEWORKS
2nd SIX WEEKS
Subject: Geometry Grade: High School
Red – denotes Readiness Standard Underlined – denotes new TEKS to grade level
Week #6 Reporting Categories Texas Essential Knowledge and Skills Textbook Topics ELPS CCRS
Monday Oct. 31,
2016 Category 2
Process Standards G.1D
Communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate NA Compare geometric relationships between Euclidean and spherical geometries, including parallel lines and the sum of the angles in a triangle
Topic 3 Lesson 9 Comparing Spherical and
Euclidean Geometry
Speaking Strategies
3F
III.D.2 VIII.B.2 IX.A.3
Readiness Standards
Supporting Standards G.4D
Tuesday Nov. 1, 2016
Category 2
Process Standards G.1F Analyze mathematical relationships to connect and communicate
mathematical ideas NA Verify theorems about the relationships in triangles, including proof of the Pythagorean Theorem, the sum of interior angles, base angles of isosceles triangles, mid-segments, and medians, and apply these relationships to solve problems
Topic 3 Lesson 5 Parallel Lines and Triangles
Reading Strategies
4C
III.A.1 VIII.A.3 VIII.C.1 X.B.2
Readiness Standards
Supporting Standards G.6D
Wednesday Nov. 2, 2016
Category 1: Logical Argument and
Constructions
Process Standards G.1F Analyze mathematical relationships to connect and communicate
mathematical ideas
Topic 3 Lesson 5 Parallel Lines and Triangles
Reading Strategies
4C
III.A.1 VIII.A.3 VIII.C.1 X.B.2
Readiness Standards NA
Supporting Standards G.6D
Verify theorems about the relationships in triangles, including proof of the Pythagorean Theorem, the sum of interior angles, base angles of isosceles triangles, mid-segments, and medians, and apply these relationships to solve problems
Thursday Nov. 3, 2016
Category 3: Proof and Congruence
Process Standards
G.1B G.1D
Review for Assessment III TEKS COVERED
Topic 3 Lessons 5, 7, 8 & 9
Review for Assessment III
TEKS COVERED
Readiness Standards
G.2B G.2C
Supporting Standards
Friday Nov. 4, 2016
Category 3: Proof and Congruence
Process Standards
G.1B G.1D Topic 3
Lessons 5, 7, 8 & 9 Assessment III/six Weeks Test
Topic 3 Lessons 5, 7, 8 & 9
Assessment III Six Weeks Test
Readiness Standards
G.2B G.2C
Supporting Standards