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WEEK # 1 Monday, February 18, 2008 M6.C. 1.1.3 Identify and/or determine the measure of the diameter and /or radius of a circle (when one or the other is given) FOCUS: GEOMETRY Diameter – a line segment that has endpoints on a circle and passes through the center of the circle; the diameter is twice the radius Radius – a line segment that has one endpoint on a circle and the other endpoint at the center of the circle; the radius is half of the diameter Other definitions that may be useful: Circumference – the distance around a circle Chord – a line segment whose endpoints are on a circle but does not pass through the center of the circle PRACTICE QUESTION: Find the diameter of the circle below. Tuesday, February 19, 2008 M6.C.1.1.2 – Identify and/or describe properties of all types of triangles Triangle – a 3 sided polygon Scalene Triangle – a triangle with sides of differing measures Equilateral Triangle – a triangle with 3 sides of equal measure Isosceles Triangle – a triangle with 2 sides of equal measure Right Triangle – a triangle with one right (90 degrees) angle Acute Triangle – a triangle with 3 acute angles (less than 90 degrees) Obtuse Triangle – a triangle with at least one obtuse angle (greater than 90 degrees) Hypotenuse – the leg of a right triangle opposite the right angle Leg (of a right triangle) – either of the two sides that form the right angle in a right triangle PRACTICE QUESTION: Classify the triangle by sides and angles. Wednesday, February 20, 2008 Polygon – a closed figure made up of 3 or more line segment; none of the lines may be intersecting Quadrilateral - a polygon with 4 sides Pentagon- a polygon with 5 sides Hexagon – a polygon with 6 sides Heptagon – a polygon with 7 sides Octagon – a polygon with 8 sides Nonagon – a polygon with 9 sides Decagon – a polygon with 10 sides M6.C1.1.1 – Identify, classify and/or compare polygons (up to ten sides.) PRACTICE QUESTION: What type of polygon is this? 180 degrees in a triangle 360 degrees in a quadrilateral 360 degrees in a circle Thursday, February 21, 2008 PRACTICE QUESTION: Find the missing angle in the given polygon. M6.C.1.1.4 – Identify and/or use the total number of degrees in a triangle, quadrilateral and/or circle. 77o 100o ? 82o Friday, February 22, 2008 M6.C.1.2.1 – Identify, describe and/or label parallel, perpendicular or intersecting lines M6.C1.2.2 – Identify, draw and/or label points, planes, lines, line segments, rays, angles and vertices. Parallel lines – lines that never intersect Perpendicular lines – lines that intersect at a 90 degree angle Intersecting lines – lines that cross each other Ordered pairs (3,8) – the first number, the xcoordinate, indicates movement along the horizontal axis; the second number, the y-coordinate indicates movement along the vertical axis Plane – a flat surface that extends forever in all directions Line – a straight path of points that extends forever in two directions Line segment – part of a line that has two endpoints Ray – a part of a line with one endpoint that extends forever in one direction Angle – two rays with the same endpoint Vertex – the common endpoint of two rays that form an angle; the point of intersection of two sides of a polygon PRACTICE QUESTION: Label the following points: A (4, 3) B (5, 1) C (0, 3) Connect the three points to make a triangle. How many line segments are contained in the triangle? How many vertex points do you see?