When parallel lines are intersected by straight line (a transversal), eight angles are created. Four of these angles are congruent acute angles; and the other four angles are congruent obtuse angles. When parallel lines are cut by a transversal, all of the obtuse angles will be congruent; and all of the acute angles will be congruent every time. Some of these angles (adjacent, same-side interior, and same-side exterior) will be supplementary, and they will form a straight line. The sum of these angles will be 180 degrees. Below, you will find a chart of the angles created when parallel lines are cut by a transversal.

### Tuesday, February 20

Common Core Standards and Extended Standards

8.G.5 Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.

Student Objectives

I can identify angles created by parallel lines intersected by a transversal.

I can identify supplementary angles.

I can identify congruent angles.

Bellwork

Quizlet: geometry terms gravity

Lesson (Parallel Lines Cut by a Transversal)

1. Guided notes: polygons, types of triangles, types of quadrilaterals, sum of interior angles of triangles and quadrilaterals

2. Demonstration and blended learning: IXL, grade 8, O.1, O.2, O.4 Classify triangles: right, acute, and obtuse angles

3. Introduction: parallel lines video

4. Patty paper angle exploration/Explore activity one from* GoMath* workbook pages 347 and 348: Students prove that angle pairs are congruent by tracing one angle and placing it on top of another. They can also prove two angles are supplementary by placing the traced angles adjacent to each other.

5. Demonstration and blended learning: IXL, grade 6, CC.13 Complementary and supplementary angles

5. Guided notes:

6. Guided practice: angle pairs sorting activity

7. Independent practice: IXL angle relationships, transversal of parallel lines, test corrections and missing work

Closing

Homework

### Wednesday, February 21

Common Core Standards and Extended Standards

8.G.5 Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.

Student Objectives

I can identify angles created by parallel lines intersected by a transversal.

I can identify supplementary angles.

I can identify complementary angles.

I can identify congruent angles.

I can identify acute, obtuse, and right angles.

I can identify and compute missing angle measures.

Bellwork

Link in “Parallel Lines” folder in Schoology: “Angles Pretest”

Lesson (Angles Relationships/Parallel Lines Cut by a Transversal)

1. Reminders: test corrections, module 8 late items, missing assignments

2. Quizlet Live: geometry vocabulary

3. Go over results of “Angles Pretest.”

4. Review/Journal entry: right, acute, and obtuse angles

5. Introduction: parallel lines video

6. Journal entry: patty paper angle exploration/explore activity one from* GoMath* workbook pages 347 and 348: Students prove that angle pairs are congruent by tracing one angle and placing it on top of another. They can also prove two angles are supplementary by placing the traced angles adjacent to each other.

7. Guided notes:

8. Guided practice: angle pairs sorting activity

9. Independent practice: IXL angle relationships, transversal of parallel lines, links in parallel lines folder of Schoology,

Closing

Schoology discussion questions: “State Test Practice 2” and “State Test Practice 3”

Homework

You will have a quiz over angle relationships on Friday. You will have a basic geometry test next Wednesday. Type “angle relationships” into the search box on any page of this website to go to videos and games that you can use to review concepts. You may also use the interactive lessons and assignments for module 11 on the textbook website. Finish the assigned items on the “Parallel Lines Notes” worksheet.

### Thursday, February 22

Common Core Standards and Extended Standards

8.G.5 Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.

Student Objectives

I can identify angles created by parallel lines intersected by a transversal.

I can identify supplementary angles.

I can identify complementary angles.

I can identify congruent angles.

I can identify acute, obtuse, and right angles.

I can identify and compute missing angle measures.

Bellwork

Students will complete *Math Minute 71*.

Link in Schoology: “Angle Relationships Quick Check”

IXL O.9 Identify complementary, supplementary, vertical, adjacent, and congruent angles

IXL O.10 Find measures of complementary, supplementary, vertical, and adjacent angles

Lesson (Angle Relationships/Interior Angles/Triangles & Quadrilaterals)

1. XtraMath challenge

2. Go over homework.

3. Angle relationships review game

4. Introduction and hands-on exploration:

*GoMath*workbook explore activity one on page 353, explore activity two on page 354, and explore activity three on page 356, prove exterior angle/remote angle theorem with patty paper

5. Journal entry, demonstration, and online practice with IXL: interior angles of a triangle (O.5), interior angles of quadrilaterals (O.6), interior angles of polygons (O.8), exterior (remote) angle theorem (O.7), sum of exterior angles

6. Independent practice: “Identifying Angle Relationships” link in Schoology. Finish for homework.

Closing

IXL O.1 Identify and classify polygons

IXL O.2 Classify triangles

IXL O.3 Classify quadrilaterals

IXL O.4 Graph triangles and quadrilaterals

Homework

You will have a quiz over angle relationships on Friday. You will have a basic geometry test next Wednesday. Type “angle relationships” into the search box on any page of this website to go to videos and games that you can use to review concepts. You may also use the interactive lessons and assignments for module 11 on the textbook website. Complete “Identifying Angle Relationships” in the Schoology parallel lines folder.

### Friday, February 23

8.G.5 Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.

Student Objectives

I can identify angles created by parallel lines intersected by a transversal.

I can identify supplementary angles.

I can identify complementary angles.

I can identify congruent angles.

I can identify acute, obtuse, and right angles.

I can identify and compute missing angle measures.

Bellwork

Students will complete *Math Minute 72*.

Link in Schoology: “State Test Practice 4”

Lesson (Angle Relationships)

1. XtraMath challenge

2. Go over homework.

3. Go over angle relationships assignment in Google forms.

4. Angle relationships review: hot seat game or math lib

5. Angle relationships quiz

6. Independent practice: IXL missing angles, interior angles,

Closing

Exit ticket/Link in Schoology: “Identifying Angle Relationships”

Homework

Complete page 277 in your workbook. You will have a basic geometry test next Wednesday. Type “angle relationships” into the search box on any page of this website to go to videos and games that you can use to review concepts. You may also use the interactive lessons and assignments for module 11 on the textbook website.