Unit: Unit 4 Course: Geometry Triangle Congruence Topic: Week 10 – Day: 49 Transformations to Theorems Common Core State Standard: Mathematical Practice: CCSS.MATH.CONTENT.HSG.CO.B.6 CCSS.MATH.PRACTICE.MP4 Use geometric descriptions of rigid motions to Model with mathematics. transform figures and to predict the effect of a CCSS.MATH.PRACTICE.MP5 given rigid motion on a given figure; given two Use apprpriate tools figures, use the definition of congruence in terms strategically. of rigid motions to decide if they are congruent. CCSS.MATH.PRACTICE.MP3 Construct viable arguments and critique the reasoning of others. Objective: I can statement: Come up with a conclusion as a result: I can explain how and why; Successive reflection in two intersecting mirror Successive reflection in two lines produces a rotation about the point of intersecting mirror lines intersection through twice the angle between the produces a rotation about mirror lines. the point of intersection Successive reflection in parallel mirror lines through twice the angle produces a translation in a direction between the mirror lines. perpendicular to the mirrors through a distance Successive reflection in equal to twice the distance between the mirrors parallel mirror lines Any rigid motion of the Euclidean plane can be produces a translation in a written as a composition of no more than 3 direction perpendicular to reflections. the mirrors through a distance equal to twice the distance between the mirrors
Unit: Unit 4 Triangle Congruence Course: Geometry Topic: Week 10 – Transformations to Theorems Day: 49 Common Core State Standard: CCSS.MATH.CONTENT.HSG.CO.B.6 Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent. Mathematical Practice: CCSS.MATH.PRACTICE.MP4 Model with mathematics. CCSS.MATH.PRACTICE.MP5 Use apprpriate tools strategically. CCSS.MATH.PRACTICE.MP3 Construct viable arguments and critique the reasoning of others. Objective: Come up with a conclusion as a result: Successive reflection in two intersecting mirror lines produces a rotation about the point of intersection through twice the angle between the mirror lines. Successive reflection in parallel mirror lines produces a translation in a direction perpendicular to the mirrors through a distance equal to twice the distance between the mirrors Any rigid motion of the Euclidean plane can be written as a composition of no more than 3 reflections. I can statement: I can explain how and why; Successive reflection in two intersecting mirror lines produces a rotation about the point of intersection through twice the angle between the mirror lines. Successive reflection in parallel mirror lines produces a translation in a direction perpendicular to the mirrors through a distance equal to twice the distance between the mirrors