# Q2, W7: December 2-6 Pre-Algebra

Teacher Kristin Andreason Pre-Algebra 8 December 2-6 Focus 6: Transformations and Focus 7: Angle Pair Relationships
Standard(s) Taught

MAFS.8.G.1.4: 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.

MAFS.8.G.1.5: 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 sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so.

Learning Targets and Learning Criteria
• explain how transformations can be used to prove that two figures are similar.
• describe a sequence of transformations to prove or disprove that two given figures are similar.
• know the definition of similar and why dilation alone is not enough to determine similarity.
• informally prove the angle-sum theorem, the properties of angles when parallel lines are cut by a transversal and the angle-angle criterion for similar triangles.
• prove that the sum of any triangle’s interior angles will have the same measure as a straight angle.
• make conjectures regarding the relationships and measurements of the angles created when two parallel lines are cut by a transversal.
• apply proven relationships to establish minimal properties to justify similarity.
• present informal arguments as to whether or not triangles are similar based on Angle-Angle criterion.
Classroom Activities

Monday/Tuesday:

• We will discuss the connection between dilations and similar figures.
• We will review all transformations.
• Students will do a Math Pennant Activity to practice all transformations.
• Students will do IXL Q.5.

Wednesday:

• I will introduce Parallel Lines Cut By Transversals.
• Students will create a graphic organizer and a foldable on Parallel Lines Cut By Transversals.

Thursday/Friday:

• Students will do three rotations:  a Parallel Lines Cut By Transversals scavenger hunt, task cards on Parallel Lines Cut By Transversals, and IXL O.17.
Assignments Due
• Math pennants due by Monday/Tuesday December 2/3.
• IXL Q.5 due by Wednesday, December 4.
• Scavenger hunt/task cards, and IXL O.17 due by Monday/Tuesday December 9/10/