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Basic Vocabulary Student Friendly: I will be able to define an angle, circle, perpendicular lines, parallel lines, and line segments using the definition.

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Presentation on theme: "Basic Vocabulary Student Friendly: I will be able to define an angle, circle, perpendicular lines, parallel lines, and line segments using the definition."— Presentation transcript:

1 Basic Vocabulary Student Friendly: I will be able to define an angle, circle, perpendicular lines, parallel lines, and line segments using the definition of a point, and the distance along a line and a curve, and identify real world examples.

2 This Week Day 1 & 2 - Vocabulary will probably take 2 class periods for students to take notes. Homework: Vocabulary Crossword Day 3 – Angles Homework: Describe Point Segment Day 4 – Polygons Homework: Precise Geometry Definitions Day 5 – Quiz & Scavenger Hunt (could be used earlier in week to fill extra time if needed) **Note –I’ve added more basic vocabulary than those required by this standard. This should help later when these topics are introduced, since students will have some basic knowledge of the concepts.

3 Day 1 - Do Now Geometry is a lot of new vocabulary. On your Do Now sheet, list AT LEAST 10 GEOMETRY VOCABULARY WORDS.

4 Day #2 DO NOW Explain and give examples of the following:
No dimensional 1 dimensional 2 dimensional 3 dimensional

5 Vocabulary Sort Using the words provided in the plastic bags. You and your shoulder partner will sort the words into groups Compare your groupings to others at your table – discuss how you decided what terms went together. Materials needed: Vocabulary Sort Word Document

6 Definition Graphic Organizer
WORD NOTATION DEFINITION PICTURE

7 Dimensions Zero Dimension: Point One Dimension: Line
Two Dimensions: Plane Three Dimensions: Solid

8 Point A point is an exact location on a graph
Points are named using capital letters: A Example

9 Line A line is a straight path that goes on forever in opposite directions. Ex. Lines are named as shown: k A line connects two points and continues on in both directions. If 2 points lie on the same line, they are collinear.

10 Name the line Are there other ways to name the line than the one you chose?

11 What points are collinear?

12 Ray A ray is part of a line, but it has one endpoint, and the other endpoint keeps going. Label the endpoint on the ray: Are ray AB and ray BA the same?

13 Line Segment A line segment is the portion of a line that connects two points. Line segments have a fixed distance.

14 Angle An angle is formed by connecting two rays on the same plane that have a common point called the vertex. <ABC such that the vertex is the middle letter OR <2 C 2 B A

15 Plane A plane is a flat, two dimensional object that goes on forever in every direction. Plane is named with a scripted letter J or using any three noncollinear points on the plane ABC Three points that lie on the same plane are called coplanar.

16 Name the plane Are there other ways to name the plan than the one you chose?

17 Which points are coplanar with point A?

18 Polygon A polygon is a closed-sided figure made up of three or more line segments The perimeter is the distance around a polygon The smallest polygon is a triangle. A triangle is a polygon with three sides. ABC

19 Quadrilateral A quadrilateral is a polygon with 4 sides.
Types of quadrilaterals include parallelograms, rhombi, rectangles, squares, and trapezoids Named using the 4 vertices LMNO

20 Circle A circle is a closed figure with all points the same/fixed distance from the center. Circles are named with capital letters for the center: F

21 Circle parts The circumference is the distance around the circle
The diameter is a line segment that passes through the center of the circle and has endpoints on the circumference of the circle. Radius is the distance from the center of a circle or a sphere to any point on the circle or a sphere.

22 Parallel, Perpendicular & Skewed
Parallel Lines are 2 lines that lie on the same plane and never intersect Perpendicular Lines are 2 lines that form four 90 degree angles Skewed Lines are 2 lines that do not lie on the same plane and never intersect

23 Solid A solid is a three dimensional shape
Solids include prisms, cones, pyramids, spheres, and cylinders Edge is the line segment where two faces meet Vertex is the point where 2 edges meet or intersect Face is the flat surface of a 3-dimensional shape

24 More on Solids The surface area of a three-dimensional figure is the sum of the areas of all its faces. The volume is the amount of space that a three-dimensional figure occupies

25 Sphere A sphere is a three-dimensional shape where all points are equidistant from the center. Like circles, spheres are named for their center.

26 Partner Activity… Label one index card as Q and another index card as R. Cut a slip halfway through both cards. Insert the cards together, so you have two intersecting planes. Where the cards intersect draw the line and label two points C & D. Draw a point F on your model so that it lies in Q but not in R. Can point F lie on DC? Draw a point G so that it lies in R, but not in Q. Can Point G lie on DC? Draw point H so it lies in both Q and R, .  Where does H point lie?  Draw <GDH. What is the vertex of this angle? Does <GDF exist? On which plane?

27 Day 2 – Exit Ticket (answer either question)
Can the same line be on two different planes? Explain by drawing a picture. Give an Example of how to name each of the following: Point Line Segment Plane Ray with endpoint P

28 Day 3 – DO NOW Describe how to name an angle – give an example.

29 Angle An angle is formed by connecting two rays that have a common point called the vertex. <ABC

30 Parts of the angle… There are three parts of an angle:
The points on the angle – these are the points which actually make up the sides of the angles The points on the interior of the angle – or those points inside the sides of the angles The points on the exterior of the angle – or those points outside the sides Draw <DEF with an interior point G and an exterior point H 

31 Name that angle Name all angles that have W as a vertex.
Name the sides of <1 Write another name for <WYZ

32 Types of Angles Acute Angles: Less than 90 degrees.
Right Angles: Exactly 90 degrees. Obtuse Angles: Greater than 90 degrees, but less than 180 degrees. Straight Angles: exactly 180 degrees.

33 Complementary Angles Two angles are complementary angles if the sum of their degree measurements equals 90 degrees. If pasted together, the angles would form a right angle.

34 Supplementary Angles Two angles are supplementary angles if the sum of their degree measurements equals 180 degrees. If pasted together, they would form a straight line.

35 Linear Pair A linear pair are two angles that share a common vertex and ray, whose outside rays form a straight line

36 Adjacent Angles… What does the word adjacent mean?
Adjacent angles are two angles which have the same vertex and a common side, but do not have any common interior points. Name the adjacent angles. What about <ABD & <ABC? What about <CBD and <BDE?

37 Vertical Angles… Vertical angles are formed when two lines intersect.
Draw an ‘x’ in your notes. The vertical angles are the angles which are opposite each other. These angles are congruent. Are <BEC and <AED vertical angles?

38 Tired of definitions? Lets do some math…
Find the measure of two complementary angles if the difference in the measures of the two angles is 12 degrees. Step 1: DRAW A PICTURE… ALWAYS

39 More Math… Find x & y so that line segment BE and line segment AD are perpendicular

40 Day 3 - Closure Draw and label an example of vertical angles <3 and <4 Draw and label an example of adjacent angles <ABC and <ABK

41 Day 4 – DO NOW A polygon is defined as a closed sided figure. Name as many polygons as you can and list the number of sides.

42 Types of Polygons What is the name of a three sided polygon? What is the name of a four sided polygon? What is the name of a five sided polygon? What is the name of a six sided polygon? What is the name of a seven sided polygon? What is the name of an eight sided polygon? What is the name of a nine sided polygon? What is the name of a ten sided polygon? What is the name of a twelve sided polygon?.

43 Concave vs. Convex Polygons are named using the vertices. Polygons can be concave or convex. To determine if a polygon is concave or convex, you extend the lines of the polygons – if it passes through the interior of the polygon, it is concave – otherwise it is convex. On the concave vs. convex, determine if each of the shapes is a polygon… If it is a polygon, is it concave or convex? A regular polygon is a convex polygon where all sides congruent and all angles congruent.

44 Student Activity… For each of the following shapes answer the following questions on your whiteboard… Is it a polygon? If yes, what is the name of the polygon If yes, concave or convex

45

46 Closure – Day 4 Draw a picture of a concave polygon with 5 sides.

47 Day 5 – Quiz & Scavenger Hunt
Find an example of a no dimensional object on campus – Draw a picture, describe where it was found Find an example of a 1 dimensional object on campus – Draw a picture, describe where it was found Find a 2 dimensional object on campus – Draw a picture, describe where it was found Find a 3 dimensional object on campus – Draw a picture, describe where it was found


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