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S. McMurtrie NAME _____________________________ The Unit Organizer 4 BIGGER PICTURE DATE ______________________________ Geometry 2 1 LAST UNIT/Experience Previous Math Experience 8 UNIT SCHEDULE CURRENT UNIT Chapter 1: Essentials of Geometry 3 NEXT UNIT/Experience Reasoning and Proof 5 UNIT MAP 1.1 Homework 1.2 Homework G.2.1.2.1 1.3 Homework 1.1 Identify Points, Lines, and Planes 1.7 Perimeter, Circumference, Area Drawing, identifying, and measuring basic geometrical figures. G.2.1.2.1 M11.A.2.1.3; M11.B.1.2.4; M11.C.1.1.1 Pages 1-69 1.4 Homework G.2.2.1.1 Quiz Quiz 1.1-1.4 1.5 Homework G.2.2.1.1 1.6 Classify Polygons 1.2 Use Segments and Congruence 1.6 Homework G.1.2.1.4 1.7 Homework G.2.2.2.1; G.2.2.2.4; G.2.2.2.3 Rev Review Worksheet 1.3 Use Midpoint and Distance Formulas M11.C.2.1.1 1.4 Measure and Classify Angles 1.5 Describe Angle Pair Relationships M11.B.1.1.1 7 How do you name geometric figures? (2.9) What are congruent segments? (2.9) How do you find the distance and the midpoint between two points in the coordinate plane? (2.9) How do you identify whether an angle is acute, right, obtuse, or straight? (2.9) How do you identify complementary and supplementary angles? (2.9) How do you classify polygons? (2.9) How do you find the area and perimeter of a figure? (2.3) (13.1.11B) cause/effect examples steps 6 UNIT RELATIONSHIPS UNIT SELF-TEST QUESTIONS Test Chapter 1 Test McMurtrie NAME S. _____________________________ The Unit Organizer Chapter 1 – Essentials of Geometry DATE ______________________________ 9 EXPANDED UNIT MAP 1.1 Identify Points, Lines, and Planes Point – represented by a dot, zero dimension Line – goes on forever in one direction, one dimension Plane – goes on forever in two directions, represented by a quadrilateral, two dimensions Collinear points – points in the same line Coplanar points – points in the same plane Segment – a piece of a line Endpoints – the points on the end of a segment Ray – a part of a line that has an endpoint and goes forever in one direction Opposite rays – rays with a common endpoint that go in opposite directions Intersection – the set of points that are common between two figures NEW UNIT SELF-TEST QUESTIONS 10 Drawing, identifying, and measuring basic geometrical figures. 1.2 Use Segments and Congruence Postulate – a statement accepted without proof Ruler Postulate – a segment can be measured using a ruler Distance – the absolute value of the difference of the coordinates of the endpoints of a segment Between – if three points are collinear you can use this term Segment Addition Postulate – you can add two smaller segments that are collinear which will be equal to the length of a larger segment Congruent segments – segments of the same length 1.6 Classify Polygons Pages 1-69 1.3 Use Midpoint and Distance Formulas Midpoint – the point that divides a segment into two congruent segments Bisector – a segment, line, or ray that intersects a segment at its midpoint Midpoint formula- M =( 1.7 Perimeter, Circumference Area x z + x 2 y1 + y 2 , ) 2 2 Distance formula- d = ( x x − x1 ) 2 − ( y x − y z ) 2 1.5 Describe Angle Pair Relationships Polygon – a closed planar figure made of segments Sides – the segments of a polygon Vertex – the Complementary angles – two endpoints of the Angle – two rays with a common endpoint angles whose sum is 90 Vertex – the common endpoint of an angle segments degrees Sides – the rays of an angle Convex – no points Protractor Postulate – you can measure an Supplementary angles – two lie in the interior angles whose sum is 180 angle using a protractor Equilateral – all Acute – an angle measuring less than 90 degrees sides congruent degrees Adjacent angles – two angles Equiangular – all Right – an angle measuring 90 degrees who share a common side and angles equal Obtuse – an angle measuring greater than 90 vertex, but no common interior Regular – both points degrees but less than 180 degrees equilateral and Linear pair of angles – two equiangular Straight – an angle measuring exactly 180 angles whose noncommon degrees Congruent angles – angles that have the same sides are opposite rays Vertical angles – two angles measure Angle Addition Postulate – you can add two whose sides form opposite rays smaller angles which will be equal to the measure of a larger angle 1.4 Measure and Classify Angles What symbols do you use when writing different geometrical figures? What are the names of the polygons based on their number of sides? How do I use the Segment Addition Postulate and Angle Addition Postulate to solve problems? Perimeter – the sum of the lengths of the sides of a polygon Area – the amount of a plane occupied by a figure Circumference – the distance around a circle Diameter – a segment that connects two points on a circle Radius – a segment that connects the center of a circle to any point on its circumference