Prove theorems about lines and angles. basis for modeling situations geometrically proof Theorems include: vertical angles are congruent; when a transversal crosses Essential Question(s) parallel lines, alternate interior angles are How can information, definitions, postulate, Writing in Math congruent and corresponding angles are properties and theorems helpful in writing congruent; points on a perpendicular Compare and contrast informal or paragraph proofs? bisector of a line segment are exactly proofs with formal or two-column proofs. Which those equidistant from the segment’s type of proof do you find easier to write? Justify endpoints. your answer. Objective(s): Students will use algebra to write two – column proofs. Students will use properties of equality to write geometric proofs. Transformations and Congruence; Transformations and Symmetry (Allow approximately 3 weeks for instruction, review, and assessment) Domain: Enduring Understanding(s) Lesson 4.3 – Congruent Triangles, pp. 253 – Vocabulary 261 Cluster: Understand congruence in terms of Proving and applying congruence provides a Congruent, congruent polygons, rigid motion basis for modeling situations geometrically (Lesson corresponding parts Use the definition of congruence in terms 1.2 in document) of rigid motions to show that two Essential Question(s) Use the following resources to ensure that the Writing in Math triangles are congruent if and only if intended outcome and level of rigor of the How do you identify corresponding parts of Determine whether the following statement is corresponding pairs of sides and standards are met. congruent triangles? always, sometimes, or never true. Explain your corresponding pairs of angles are Task(s) reasoning. congruent. TN Geometry Instructional Task- Equilateral triangles are congruent. How do you show that two triangles are Comparing Shapes congruent? Objective(s): Students will identify corresponding sides and corresponding triangles of congruent triangles. Students will explain that in a pair of
Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints. basis for modeling situations geometrically Essential Question(s) How can information, definitions, postulate, properties and theorems helpful in writing proofs? Objective(s): Students will use algebra to write two – column proofs. Students will use properties of equality to write geometric proofs. proof Writing in Math Compare and contrast informal or paragraph proofs with formal or two-column proofs. Which type of proof do you find easier to write? Justify your answer. Transformations and Congruence; Transformations and Symmetry (Allow approximately 3 weeks for instruction, review, and assessment) Domain: Cluster: Understand congruence in terms of rigid motion Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent. Enduring Understanding(s) Proving and applying congruence provides a basis for modeling situations geometrically Essential Question(s) How do you identify corresponding parts of congruent triangles? How do you show that two triangles are congruent? Objective(s): Students will identify corresponding sides and corresponding triangles of congruent triangles. Students will explain that in a pair of Lesson 4.3 – Congruent Triangles, pp. 253 – 261 (Lesson 1.2 in document) Use the following resources to ensure that the intended outcome and level of rigor of the standards are met. Task(s) TN Geometry Instructional Task- Comparing Shapes Vocabulary Congruent, congruent polygons, corresponding parts Writing in Math Determine whether the following statement is always, sometimes, or never true. Explain your reasoning. Equilateral triangles are congruent.
GEOMETRY%20Q1%20%2016-17%20Revised%206-29-16.docx