Martinez - Geometry
Topic outline
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All students in their sophomore year or above will be taking Geometry in a one to one classroom through Pearson SuccessNet.
Click here to login: https://www.pearsonsuccessnet.com
Mrs. Rita G. Martinez
Email: RitaM@susd12.org
Phone: 545-5410
Sunnyside High School
Math Department, Room 507
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Geometry Midterm is on Block Day. Periods 1, 3, and 5 will test on Tuesday, October 6, 2015. Periods 2 and 6 will test on Wednesday, October 7, 2015.
Students: Please start on your Study Plan in MathXL, Chapters 1, 2 and 3, to prepare for the midterm.
Thank you!
Mrs. Martinez
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Description of Unit: This topic introduces students to various topics in the study of geometry. Students will define basic geometric figures; use visual representations to show undefined terms such as point, line and plane; be introduced to postulates; measure segments with and without a coordinate grid; use the midpoint and distance formulas; and use protractors to measure angles.
Key Vocabulary: acute angles, adjacent angles, angle bisector, collinear points, complementary angles, congruent angles, congruent segments, coplanar, line, linear pair, obtuse angle, opposite rays, perpendicular bisector, perpendicular lines, plane, point, postulate, ray, right angle, segment, segment bisector, straight angles, supplementary angles, vertex of an angle, vertical angles.
Common Core Content Standards:
G-CO.A.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
G-CO.D.12. Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.
G-GPE.B.6. Find the point on a directed line segment between two given points that partitions the segment in a given ratio.
N-Q.A.1 Reason quantitatively and use units to solve problems.
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This document details the Common Core State Standards, Mathematical Practices, Big Ideas, Essential Questions, and Assessment information.
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Remember to log into Pearson before clicking the link! Click here to view a video introducing you to the concepts in this unit!
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Remember to log into Pearson before clicking the link! Additional assistance for each of the sections in Unit 1.
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Description of Unit: This topic introduces reasoning. Students will observe patterns leading to making conjectures; solve equations giving their reasons for each step and connect his to simple proofs; and prove geometric relationships using given information, definitions, properties, postulates and theorems.
Key Vocabulary: biconditional statement, conclusion, conditional statement, conjecture, contrapostive, converse, counterexample, deductive reasoning, equivalent statements, hypothesis, inductive reasoning, inverse, Law of Detachment, Law of Syllogism, negation, proof, theorem, truth value.
Common Core Content Standards:
G-CO.C.9 Prove theorems about lines and angles.
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This document details the Common Core State Standards, Mathematical Practices, Big Ideas, Essential Questions, and Assessment information.
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Remember to log into Pearson before clicking the link! Click here to view a video introducing you to the concepts in this unit!
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Remember to log into Pearson before clicking the link! Additional assistance for each of the sections in this unit.
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Description of Unit: This topic expands the students’ understandings and skills related to parallel and perpendicular lines. Students will use postulates and theorems to explore lines in a plane; use coordinate geometry to examine the lopes of parallel and perpendicular lines; use the Triangle-Angle Sum Theorem; and write equations using slope-intercept and point-slope forms.
Key Vocabulary: alternate exterior angles, alternate interior angles, corresponding angles, exterior angle of a polygon, parallel lines, parallel planes, point-slope form, remote interior angles, same-side interior angles, skew lines, slope, slope-intercept form, transversal.
Common Core Content Standards:
G-CO.A.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
G-CO.C.9 Prove theorems about lines and angles.
G-CO.C.10 Prove theorems about triangles.
G-CO.D.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.).
G-CO.D.13 Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.
G-GPE.B.5 Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problem (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).
G-MG.A.3 Apply geometric methods to solve design problem (e.g, designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based one ratios).
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Remember to log into Pearson before clicking the link! Click here to view a video introducing you to the concepts in this unit!
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Remember to log into Pearson before clicking the link! Additional assistance for each of the sections in this unit.
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Description of Unit: This topic builds on the student’s understanding and skills related to angles and triangles. Students will visualize the triangles placed on top of each other; use tick marks and angle marks to label corresponding angles; use SSS, SAS, ASA postulates, and AAS and HL theorems; and use definitions to categorize triangles.
Key Vocabulary: base angles of an isosceles triangle, base of an isosceles triangle, hypotenuse, legs of an isosceles triangle, legs of a right triangle, vertex angle of an isosceles triangle.
Common Core Content Standards:
G-CO.C.10 Prove theorems about triangles.
G-CO.D.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.).
G-CO.D.13 Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.
G-SRT.B.5 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
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Remember to log into Pearson before clicking the link! Additional assistance for each of the sections in this unit.
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