Standards
MCC8.G.1 Verify experimentally the properties of rotations, reflections, and translations:
a. Lines are taken to lines, and line segments to line segments of the same length.
b. Angles are taken to angles of the same measure.
c. Parallel lines are taken to parallel lines.
MCC8.G.2 Understand that a two‐dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.
MCC8.G.3 Describe the effect of dilations, translations, rotations, and reflections on two‐dimensional figures using coordinates.
MCC8.G.4 Understand that a two‐dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two‐dimensional figures, describe a sequence that exhibits the similarity between them.
MCC8.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. For example, arrange three copies of the same triangle so that the three angles appear to form a line, and give an argument in terms of transversals why this is so.
Monday September 23
Tessellating Triangles Task
Students create a triangle with each angle colored a different color. They tessellate this triangle to cover an entire sheet of paper, coloring the angles each time. Then students save the sheet as a reference sheet for chapter 4. They use it to demonstrate a number of theorems including the sum of the angles in a triangle, vertical angles, angles created by a transversal.
Homework: Review for Chapter 3 test on Wed.
Skills practice 3.1 page 371 Vocabulary 1-5 Problem set 7-10
Skills practice 3.2 Vocabulary 1 Problem set 4,5,11, 12,13
Skills practice 3.3 Vocabulary 1-3 Problem set 7-12
Tuesday September 24
Mathia on line
Homework: Finish Tessellating Triangle Task if needed
Wednesday September 25
TEST CHAPTER 3
Thursday September 26
Carnegie Text Lesson 4.1 Location, Location, Location! (Line Relationships)
Students explore possible relationships between two lines in Euclidean Geometry.
Homework: Skills practice 4.1 Vocabulary 1-6 Problem set 1-18
Friday September 27
Carnegie Text lesson 4.2 When Lines Come Together (Angle relationships formed by two intersecting lines)
Students explore the angles determined by two intersecting lines and identify congruent angles, adjacent angles, vertical angles, linear pair angles, and supplementary angles.
No homework
MCC8.G.1 Verify experimentally the properties of rotations, reflections, and translations:
a. Lines are taken to lines, and line segments to line segments of the same length.
b. Angles are taken to angles of the same measure.
c. Parallel lines are taken to parallel lines.
MCC8.G.2 Understand that a two‐dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.
MCC8.G.3 Describe the effect of dilations, translations, rotations, and reflections on two‐dimensional figures using coordinates.
MCC8.G.4 Understand that a two‐dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two‐dimensional figures, describe a sequence that exhibits the similarity between them.
MCC8.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. For example, arrange three copies of the same triangle so that the three angles appear to form a line, and give an argument in terms of transversals why this is so.
Monday September 23
Tessellating Triangles Task
Students create a triangle with each angle colored a different color. They tessellate this triangle to cover an entire sheet of paper, coloring the angles each time. Then students save the sheet as a reference sheet for chapter 4. They use it to demonstrate a number of theorems including the sum of the angles in a triangle, vertical angles, angles created by a transversal.
Homework: Review for Chapter 3 test on Wed.
Skills practice 3.1 page 371 Vocabulary 1-5 Problem set 7-10
Skills practice 3.2 Vocabulary 1 Problem set 4,5,11, 12,13
Skills practice 3.3 Vocabulary 1-3 Problem set 7-12
Tuesday September 24
Mathia on line
Homework: Finish Tessellating Triangle Task if needed
Wednesday September 25
TEST CHAPTER 3
Thursday September 26
Carnegie Text Lesson 4.1 Location, Location, Location! (Line Relationships)
Students explore possible relationships between two lines in Euclidean Geometry.
Homework: Skills practice 4.1 Vocabulary 1-6 Problem set 1-18
Friday September 27
Carnegie Text lesson 4.2 When Lines Come Together (Angle relationships formed by two intersecting lines)
Students explore the angles determined by two intersecting lines and identify congruent angles, adjacent angles, vertical angles, linear pair angles, and supplementary angles.
No homework
Review videos for chapter 3. They are long but good.
How to perform dilations section 3.1 (14 minutes)
How to find the missing side using similar triangles section 3.2 (24 minutes)
How to prove triangles are similar using AA, SAS, and SSS. (21 minutes)
The following videos teach parallel, intersecting, perpendicular and skew lines.
This is a fun song about parallel and perpendicular lines!
This video explore the angles determined by two intersecting lines and identifies congruent angles, adjacent angles, vertical angles, linear pair angles, and supplementary angles.