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Transcript
Geometry Quarter 2 Curriculum Map 2013-2014 CCSS for Mathematical Practice: 1. Make sense of problems and persevere in solving them 2. Reason abstractly and quantitatively 3. Construct viable arguments and critique those made by others 4. Model with mathematics 5. Use appropriate tools strategically 6. Attend to precision 7. Look for and make use of structure 8. Look for and express regularity in repeated reasoning Unit 4: Congruent Triangles Unit Timeline Standards Congruent 7 days • G.CO.6 Use geometric descriptions of rigid Triangles for motions to transform figures and to predict instructio the effect of a given rigid motion on a given n and figure; given two figures, use the definition review of congruence in terms of rigid motions to decide if they are congruent. 1 day for assessme • G.CO.7 Use the definition of congruence in nt 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. • G.CO.8 Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions. • • • • • Review Standards (M)ajor Content, (S)upporting Content (A)dditional Content (+) Honors Textbook Resource: Pearson’s Geometry Common Core Pearson’s online resource: www.pearsonsuccess.net 2nd Quarter Learning Expectation Identify corresponding parts of congruent triangles Prove that two triangles are congruent Determine whether a triangle is isosceles or equilateral, and understand their properties. Suggested Instructional Days: 8 Vocabulary Resources Page 80 2-5 Reasoning in Theorem Algebra and Geometry (Proof Introduction) Page 216 4-1 Congruent Figures Base angles on an 4-2 Triangle isosceles triangle Congruence by SSS Base of an and SAS isosceles triangle 4-3 Triangle Congruent Congruence by ASA polygons and AAS Corollary 4-4 CPCTC Hypotenuse 4-5 Isosceles and Legs of isosceles Equilateral Triangles triangle 4-6 Congruence in Legs of right Right Triangles triangle Vertex angle of an isosceles triangle G.CO.10 Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point. Geometry Quarter 2 p. 1 Geometry Quarter 2 Curriculum Map Unit 5: Quadrilaterals Quadrilaterals 5 days for instructio n and review 1 day for assessme nt G.CO.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. G.CO.11 Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals. 2nd Quarter Find the measures of polygon angles Classify quadrilaterals 2013-2014 Suggested Instructional Days: 6 Page 350 Equiangular polygon Equilateral polygon Isosceles trapezoid Kite Mid-segment of a trapezoid Parallelogram Rectangle Regular polygon Rhombus Trapezoid 6-1 The Polygon-Angle Sum Theorems 6-2 Properties of Parallelograms 6-3 Proving That a Quadrilateral Is a Parallelogram 6-4 Properties of Rhombuses, Rectangles, and Squares 6-5 Conditions for Rhombuses, Rectangles, and Squares 6-6 Trapezoids and Kites Quarter 2 Assessment Additional Resources: Floor Pattern: http://map.mathshell.org/materials/tasks.php?taskid=258&subpage=apprentice Evaluating Statements about Length and Area: http://map.mathshell.org/materials/lessons.php?taskid=212&subpage=concept NOTES/REFLECTIONS: Geometry Quarter 2 p. 2