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Page 1: BROWNSVILLE INDEPENDENT SCHOOL DISTRICT Subject: Geometry ... pages/Math... · Week #1 Reporting Categories Texas Essential Knowledge and Skills Textbook ... conditional statement

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

Page 2: BROWNSVILLE INDEPENDENT SCHOOL DISTRICT Subject: Geometry ... pages/Math... · Week #1 Reporting Categories Texas Essential Knowledge and Skills Textbook ... conditional statement

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

Page 3: BROWNSVILLE INDEPENDENT SCHOOL DISTRICT Subject: Geometry ... pages/Math... · Week #1 Reporting Categories Texas Essential Knowledge and Skills Textbook ... conditional statement

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

Page 4: BROWNSVILLE INDEPENDENT SCHOOL DISTRICT Subject: Geometry ... pages/Math... · Week #1 Reporting Categories Texas Essential Knowledge and Skills Textbook ... conditional statement

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

Page 5: BROWNSVILLE INDEPENDENT SCHOOL DISTRICT Subject: Geometry ... pages/Math... · Week #1 Reporting Categories Texas Essential Knowledge and Skills Textbook ... conditional statement

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

Page 6: BROWNSVILLE INDEPENDENT SCHOOL DISTRICT Subject: Geometry ... pages/Math... · Week #1 Reporting Categories Texas Essential Knowledge and Skills Textbook ... conditional statement

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