Math-in-CTE Lesson Plan Template
|
|
- Scot Kennedy
- 5 years ago
- Views:
Transcription
1 Lesson Development Math-in-CTE Lesson Plan Template Lesson Title: Basic Geometric Concepts Lesson # Author(s): Phone Number(s): Address(es): Juan Carlos Martínez jcmartinez@dadeschoolsnet Bergman Jose Arias Occupational Area: Technology Education bergmanjarias@dadeschoolsnet CTE Concept(s): Basic Geometry Math Concepts: Basic Geometry Terms 1- The students will be able to identify basic geometric shapes 2- The students will become familiar with basic geometric terms Lesson Objective: 3- The students will be able to identify the basic instruments 45 triangle, triangle, compass, straight edge, scale Supplies Needed: Paper and pencil THE "7 ELEMENTS" 1 Introduce the CTE lesson Whether we realize it or not, we see geometry in use every day The design of the aircraft flying overhead and the design of the automobile that passes on the street is based on various geometric shapes Buildings and bridges utilize squares, rectangles, triangles, circles, and arcs in their design and construction Weather hand drafting or using computer aided design software; geometry is the basis that makes it all possible 2 Assess students math awareness as it relates to the CTE lesson 1- What are the basic tools used in drafting? 2- What are the basic shapes in geometry? TEACHER NOTES (and answer key) 1- Triangles: 45, 45, 90 triangle; 30, 60, 90 triangle; protractor; straight edge: T-square, triangles 2- Triangles: right triangle, isosceles triangle, scalene triangle Quadrilaterals: rectangle, rhomboid, trapezoid Regular Polygons: equilateral triangles, National Research Center for Career and Technical Education
2 Lesson Development square, pentagon, hexagon, heptagon, octagon 3 Work through the math example embedded in the CTE lesson Lesson on Basic Geometry Objective: Identify Basic Terms in Geometry Lines, Points, Intersection, Line segments, Rays, Endpoints, Parallel lines Lines A line is one of the basic terms in geometry We may think of a line as a "straight" line that we might draw with a ruler on a piece of paper, except that in geometry, a line extends forever in both directions We write the name of a line passing through two different points A and B as "line AB" or as, the two-headed arrow over AB signifying a line passing through points A and B Example: The following is a diagram of two lines: line AB and line HG This may need to be taught over a time frame of two to three days depending on the length of your periods The arrows signify that the lines drawn extend indefinitely in each direction Points A point is one of the basic terms in geometry We may think of a point as a "dot" on a piece of paper We identify this point with a number or letter A National Research Center for Career and Technical Education
3 Lesson Development point has no length or width, it just specifies an exact location Example: The following is a diagram of points A, B, C, and Q: Intersection The term intersect is used when lines, rays, line segments or figures meet, that is, they share a common point The point they share is called the point of intersection We say that these figures intersect Example: In the diagram below, line AB and line GH intersect at point D: Example: In the diagram below, line 1 intersects the square in points M and N: National Research Center for Career and Technical Education
4 Lesson Development Example: In the diagram below, line 2 intersects the circle at point P: Line Segments A line segment is one of the basic terms in geometry We may think of a line segment as a "straight" line that we might draw with a ruler on a piece of paper A line segment does not extend forever, but has two distinct endpoints We write the name of a line segment with endpoints A and B as "line segment AB" or as Note how there are no arrow heads on the line over AB such as when we denote a line or a ray Example: The following is a diagram of two line segments: line segment CD and line segment PN, or simply segment CD and segment PN National Research Center for Career and Technical Education
5 Lesson Development Rays A ray is one of the basic terms in geometry We may think of a ray as a "straight" line that begins at a certain point and extends forever in one direction The point where the ray begins is known as its endpoint We write the name of a ray with endpoint A and passing through a point B as "ray AB" or as Note how the arrow heads denotes the direction the ray extends in: there is no arrow head over the endpoint Example: The following is a diagram of two rays: ray HG and ray AB Endpoints An endpoint is a point used to define a line segment or ray A line segment has two endpoints; a ray has one National Research Center for Career and Technical Education
6 Lesson Development Example: The endpoints of line segment DC below are points D and C, and the endpoint of ray MN is point M below: Parallel Lines Two lines in the same plane which never intersect are called parallel lines We say that two line segments are parallel if the lines that they lie on are parallel If line 1 is parallel to line 2, we write this as line 1 line 2 When two line segments DC and AB lie on parallel lines, we write this as segment DC segment AB Example: Lines 1 and 2 below are parallel Example: The opposite sides of the rectangle below are parallel The lines passing through them never meet National Research Center for Career and Technical Education
7 Lesson Development Objective: Identify and measure angles using a protractor See PDF: Lesson on Protractors (click here for the PDF) Objective: Identify figures and polygons Polygon A polygon is a closed figure made by joining line segments, where each line segment intersects exactly two others The following are examples of polygons: The figure below is not a polygon, since it is not a closed figure: The figure below is not a polygon, since it is not made of line segments: National Research Center for Career and Technical Education
8 Lesson Development The figure below is not a polygon, since its sides do not intersect in exactly two places each: Regular Polygon A regular polygon is a polygon whose sides are all the same length, and whose angles are all the same The sum of the angles of a polygon with n sides, where n is 3 or more, is 180 (n - 2) degrees The following are examples of regular polygons: The following are not examples of regular polygons: Vertex National Research Center for Career and Technical Education
9 Lesson Development 1) The vertex of an angle is the point where the two rays that form the angle intersect 2) The vertices of a polygon are the points where its sides intersect Triangle A three-sided polygon The sum of the angles of a triangle is 180 degrees Equilateral Triangle or Equiangular Triangle A triangle having all three sides of equal length The angles of an equilateral triangle all measure 60 degrees National Research Center for Career and Technical Education
10 Lesson Development Isosceles Triangle A triangle having two sides of equal length Scalene Triangle A triangle having three sides of different lengths National Research Center for Career and Technical Education
11 Lesson Development Acute Triangle A triangle having three acute angles Obtuse Triangle A triangle having an obtuse angle One of the angles of the triangle measures more than 90 degrees Right Triangle A triangle having a right angle One of the angles of the triangle measures 90 degrees The side opposite the right angle is called the hypotenuse The two sides that form the right angle are called the legs A right triangle has the special property that the sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse This is known as the National Research Center for Career and Technical Education
12 Lesson Development Pythagorean Theorem Example: For the right triangle above, the lengths of the legs are A and B, and the hypotenuse has length C Using the Pythagorean Theorem, we know that A 2 + B 2 = C 2 Example: In the right triangle above, the hypotenuse has length 5, and we see that = 5 2 according to the Pythagorean Theorem National Research Center for Career and Technical Education
13 Lesson Development Quadrilateral A four-sided polygon The sum of the angles of a quadrilateral is 360 degrees Rectangle A four-sided polygon having all right angles The sum of the angles of a rectangle is 360 degrees Square A four-sided polygon having equal-length sides meeting at right angles The sum of the angles of a square is 360 degrees National Research Center for Career and Technical Education
14 Lesson Development Parallelogram A four-sided polygon with two pairs of parallel sides The sum of the angles of a parallelogram is 360 degrees Rhombus A four-sided polygon having all four sides of equal length The sum of the angles of a rhombus is 360 degrees National Research Center for Career and Technical Education
15 Lesson Development Trapezoid A four-sided polygon having exactly one pair of parallel sides The two sides that are parallel are called the bases of the trapezoid The sum of the angles of a trapezoid is 360 degrees Pentagon A five-sided polygon The sum of the angles of a pentagon is 540 degrees A regular pentagon: An irregular pentagon: Hexagon A six-sided polygon The sum of the angles of a hexagon is 720 degrees National Research Center for Career and Technical Education
16 Lesson Development A regular hexagon: An irregular hexagon: Heptagon A seven-sided polygon The sum of the angles of a heptagon is 900 degrees A regular heptagon: An irregular heptagon: Octagon An eight-sided polygon The sum of the angles of an octagon is 1080 degrees A regular octagon: An irregular octagon: National Research Center for Career and Technical Education
17 Lesson Development Nonagon A nine-sided polygon The sum of the angles of a nonagon is 1260 degrees A regular nonagon: An irregular nonagon: Decagon A ten-sided polygon The sum of the angles of a decagon is 1440 degrees A regular decagon: An irregular decagon: National Research Center for Career and Technical Education
18 Lesson Development Circle A circle is the collection of points in a plane that are all the same distance from a fixed point The fixed point is called the center A line segment joining the center to any point on the circle is called a radius Example: The blue line is the radius r, and the collection of red points is the circle Convex A figure is convex if every line segment drawn between any two points inside the figure lies entirely inside the figure A figure that is not convex is called a concave figure Example: The following figures are convex The following figures are concave Note the red line segment drawn between two points inside the figure that also passes outside of the figure National Research Center for Career and Technical Education
19 Lesson Development 4 Work through related, contextual math-in-cte examples Name Date Period Basic Geometry Worksheet Name each figure using letters and symbols Here is a link to the worksheet You may use this file to print using Microsoft Word Basic Geometry Worksheetdoc Here are the answers Basic Geometry Worksheet Solutionsdoc Draw and label an example of each 4point N 5line segment LD 6 National Research Center for Career and Technical Education
20 Lesson Development HP Classify each pair of lines as parallel, intersecting, or perpendicular Classify each angle as acute, obtuse, straight, or right Write polygon or not a polygon For a polygon, name the type of polygon and also write regular or not National Research Center for Career and Technical Education
21 Lesson Development regular Classify each triangle as isosceles, scalene, or equilateral and as right, acute, or obtuse Classify each triangle as isosceles, scalene, or equilateral by the lengths of its sides 211 mm, 11 mm, 215 in, 2 ft, 22 ft 220 cm, 20 cm, mm 4 5cm National Research Center for Career and Technical Education
22 Lesson Development 5 Work through traditional math examples The math worksheets for this purpose would be the same type of material as that of the CTE 6 Students demonstrate their understanding 1-Prepare a bulletin board display that illustrates the use of geometric shapes in buildings and bridges 2- Develop a list of everyday items that make use of geometric shapes For example, nut and bolt heads are round, square and hexagonal 7 Formal assessment Class discussion/ assessment You may visit for additional worksheets/assessments National Research Center for Career and Technical Education
23 Name Date Period Basic Geometry Assessment (Solutions) Name each figure using letters and symbols Point N Segment BV Ray ZJ Draw and label an example of each 4 point N N 5 line segment LD 6 HP Classify each pair of lines as parallel, intersecting, or perpendicular intersecting parallel parallel perpendicular
24 Classify each angle as acute, obtuse, straight, or right acute right obtuse acute Write polygon or not a polygon For a polygon, name the type of polygon and also write regular or not regular Polygon- Octagon Polygonquadrilateral not a polygon not a polygon Classify each triangle as isosceles, scalene, or equilateral and as right, acute, or obtuse isosceles, acute equilateral, acute right, acute isosceles, acute
25 Classify each triangle as isosceles, scalene, or equilateral by the lengths of its sides mm, 11 mm, 11mm in, 2 ft, 22 ft scalene cm, 20 cm, 20 cm equilateral equilateral
26 Name Date Period Basic Geometry Assessment Name each figure using letters and symbols Draw and label an example of each 4 point N 5 line segment LD 6 HP Classify each pair of lines as parallel, intersecting, or perpendicular Classify each angle as acute, obtuse, straight, or right
27 Write polygon or not a polygon For a polygon, name the type of polygon and also write regular or not regular Classify each triangle as isosceles, scalene, or equilateral and as right, acute, or obtuse Classify each triangle as isosceles, scalene, or equilateral by the lengths of its sides mm, 11 mm, 11mm in, 2 ft, 22 ft cm, 20 cm, 20 cm
28 Objective: Identify Basic Terms in Geometry Lines, Points, Intersection, Line segments, Rays, Endpoints, Parallel lines Lines A line is one of the basic terms in geometry We may think of a line as a "straight" line that we might draw with a ruler on a piece of paper, except that in geometry, a line extends forever in both directions We write the name of a line passing through two different points A and B as "line AB" or as, the two-headed arrow over AB signifying a line passing through points A and B Example: The following is a diagram of two lines: line AB and line HG The arrows signify that the lines drawn extend indefinitely in each direction Points A point is one of the basic terms in geometry We may think of a point as a "dot" on a piece of paper We identify this point with a number or letter A point has no length or width, it just specifies an exact location Example: The following is a diagram of points A, B, C, and Q:
29 Intersection The term intersect is used when lines, rays, line segments or figures meet, that is, they share a common point The point they share is called the point of intersection We say that these figures intersect Example: In the diagram below, line AB and line GH intersect at point D: Example: In the diagram below, line 1 intersects the square in points M and N: Example: In the diagram below, line 2 intersects the circle at point P:
30 Line Segments A line segment is one of the basic terms in geometry We may think of a line segment as a "straight" line that we might draw with a ruler on a piece of paper A line segment does not extend forever, but has two distinct endpoints We write the name of a line segment with endpoints A and B as "line segment AB" or as Note how there are no arrow heads on the line over AB such as when we denote a line or a ray Example: The following is a diagram of two line segments: line segment CD and line segment PN, or simply segment CD and segment PN Rays A ray is one of the basic terms in geometry We may think of a ray as a "straight" line that begins at a certain point and extends forever in one direction The point where the
31 ray begins is known as its endpoint We write the name of a ray with endpoint A and passing through a point B as "ray AB" or as Note how the arrow heads denotes the direction the ray extends in: there is no arrow head over the endpoint Example: The following is a diagram of two rays: ray HG and ray AB Endpoints An endpoint is a point used to define a line segment or ray A line segment has two endpoints; a ray has one Example: The endpoints of line segment DC below are points D and C, and the endpoint of ray MN is point M below: Parallel Lines Two lines in the same plane which never intersect are called parallel lines We say that two line segments are parallel if the lines that they lie on are parallel If line 1 is parallel to line 2, we write this as
32 line 1 line 2 When two line segments DC and AB lie on parallel lines, we write this as segment DC segment AB Example: Lines 1 and 2 below are parallel Example: The opposite sides of the rectangle below are parallel The lines passing through them never meet
33 Geometry Objective: Identify figures and polygons Polygon A polygon is a closed figure made by joining line segments, where each line segment intersects exactly two others The following are examples of polygons: The figure below is not a polygon, since it is not a closed figure: The figure below is not a polygon, since it is not made of line segments: The figure below is not a polygon, since its sides do not intersect in exactly two places each:
34 Geometry Regular Polygon A regular polygon is a polygon whose sides are all the same length, and whose angles are all the same The sum of the angles of a polygon with n sides, where n is 3 or more, is 180 (n - 2) degrees The following are examples of regular polygons: The following are not examples of regular polygons: Vertex 1) The vertex of an angle is the point where the two rays that form the angle intersect 2) The vertices of a polygon are the points where its sides intersect
35 Geometry Triangle A three-sided polygon The sum of the angles of a triangle is 180 degrees Equilateral Triangle or Equiangular Triangle A triangle having all three sides of equal length The angles of an equilateral triangle all measure 60 degrees Isosceles Triangle A triangle having two sides of equal length
36 Geometry Scalene Triangle A triangle having three sides of different lengths Acute Triangle A triangle having three acute angles Obtuse Triangle A triangle having an obtuse angle One of the angles of the triangle measures more than 90 degrees
37 Geometry Right Triangle A triangle having a right angle One of the angles of the triangle measures 90 degrees The side opposite the right angle is called the hypotenuse The two sides that form the right angle are called the legs A right triangle has the special property that the sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse This is known as the Pythagorean Theorem Example: For the right triangle above, the lengths of the legs are A and B, and the hypotenuse has length C Using the Pythagorean Theorem, we know that A 2 + B 2 = C 2 Example:
38 Geometry In the right triangle above, the hypotenuse has length 5, and we see that = 5 2 according to the Pythagorean Theorem Quadrilateral A four-sided polygon The sum of the angles of a quadrilateral is 360 degrees Rectangle A four-sided polygon having all right angles The sum of the angles of a rectangle is 360 degrees
39 Geometry Square A four-sided polygon having equal-length sides meeting at right angles The sum of the angles of a square is 360 degrees Parallelogram A four-sided polygon with two pairs of parallel sides The sum of the angles of a parallelogram is 360 degrees Rhombus A four-sided polygon having all four sides of equal length The sum of the angles of a rhombus is 360 degrees
40 Geometry Trapezoid A four-sided polygon having exactly one pair of parallel sides The two sides that are parallel are called the bases of the trapezoid The sum of the angles of a trapezoid is 360 degrees Pentagon A five-sided polygon The sum of the angles of a pentagon is 540 degrees A regular pentagon: An irregular pentagon: Hexagon A six-sided polygon The sum of the angles of a hexagon is 720 degrees A regular hexagon: An irregular hexagon:
41 Geometry Heptagon A seven-sided polygon The sum of the angles of a heptagon is 900 degrees A regular heptagon: An irregular heptagon: Octagon An eight-sided polygon The sum of the angles of an octagon is 1080 degrees A regular octagon: An irregular octagon: Nonagon A nine-sided polygon The sum of the angles of a nonagon is 1260 degrees
42 Geometry A regular nonagon: An irregular nonagon: Decagon A ten-sided polygon The sum of the angles of a decagon is 1440 degrees A regular decagon: An irregular decagon: Circle A circle is the collection of points in a plane that are all the same distance from a fixed point The fixed point is called the center A line segment joining the center to any point on the circle is called a radius Example:
43 Geometry The blue line is the radius r, and the collection of red points is the circle Convex A figure is convex if every line segment drawn between any two points inside the figure lies entirely inside the figure A figure that is not convex is called a concave figure Example: The following figures are convex The following figures are concave Note the red line segment drawn between two points inside the figure that also passes outside of the figure
44 Lesson 9-3 Example 1 Measure Angles a Use a protractor to measure MNO Step 1 Place the center point of the protractor s base on vertex N Align the straight side with side NO so that the marker for 0 is on one of the rays Step 2 Use the scale that begins at 0 at NO Read where the other side of the angle MN, crosses this scale The measure of angle MNO is 50 Using symbols, m MNO = 50 b Find the measures of BCE, DCE, and ACB m BCE = 155 m DCE = 70 m ACB = 25 CE is at 0 on the right CE is at 0 on the right CA is at 0 on the left Example 2 Draw Angles Draw G having a measure of 110 Step 1 Draw a ray with endpoint G Step 2 Place the center point of the protractor on G Align the mark labeled 0 with the ray Step 3 Use the scale that begins with 0 Locate the mark labeled 110 Then draw the other side of the angle Example 3 Classify Angles Classify each angle as acute, obtuse, right, or straight a b c m ABC < 90 m DEF > 90 m GHI = 90 So, ABC is acute So, DEF is obtuse So, GHI is right
45 Example 4 HIKING Use Angles to Solve a Problem The map of a hiking trail at a state park indicates a 31 hill Classify this angle Since 31 is greater than 0 and less than 90, the angle is acute
Lines Plane A flat surface that has no thickness and extends forever.
Lines Plane A flat surface that has no thickness and extends forever. Point an exact location Line a straight path that has no thickness and extends forever in opposite directions Ray Part of a line that
More informationMath 6, Unit 8 Notes: Geometric Relationships
Math 6, Unit 8 Notes: Geometric Relationships Points, Lines and Planes; Line Segments and Rays As we begin any new topic, we have to familiarize ourselves with the language and notation to be successful.
More informationGeometry Basics of Geometry Precise Definitions Unit CO.1 OBJECTIVE #: G.CO.1
OBJECTIVE #: G.CO.1 OBJECTIVE 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
More informationUnit 10 Study Guide: Plane Figures
Unit 10 Study Guide: Plane Figures *Be sure to watch all videos within each lesson* You can find geometric shapes in art. Whether determining the amount of leading or the amount of glass needed for a piece
More informationUNIT 6: Connecting Algebra & Geometry through Coordinates
TASK: Vocabulary UNIT 6: Connecting Algebra & Geometry through Coordinates Learning Target: I can identify, define and sketch all the vocabulary for UNIT 6. Materials Needed: 4 pieces of white computer
More informationPolygon. Note: Each segment is called a side. Each endpoint is called a vertex.
Polygons Polygon A closed plane figure formed by 3 or more segments. Each segment intersects exactly 2 other segments at their endpoints. No 2 segments with a common endpoint are collinear. Note: Each
More information1.6 Classifying Polygons
www.ck12.org Chapter 1. Basics of Geometry 1.6 Classifying Polygons Learning Objectives Define triangle and polygon. Classify triangles by their sides and angles. Understand the difference between convex
More informationGeometry. Geometry is the study of shapes and sizes. The next few pages will review some basic geometry facts. Enjoy the short lesson on geometry.
Geometry Introduction: We live in a world of shapes and figures. Objects around us have length, width and height. They also occupy space. On the job, many times people make decision about what they know
More informationAn angle that has a measure less than a right angle.
Unit 1 Study Strategies: Two-Dimensional Figures Lesson Vocab Word Definition Example Formed by two rays or line segments that have the same 1 Angle endpoint. The shared endpoint is called the vertex.
More informationMath Polygons
Math 310 9.2 Polygons Curve & Connected Idea The idea of a curve is something you could draw on paper without lifting your pencil. The idea of connected is that a set can t be split into two disjoint sets.
More informationGeometry Reasons for Proofs Chapter 1
Geometry Reasons for Proofs Chapter 1 Lesson 1.1 Defined Terms: Undefined Terms: Point: Line: Plane: Space: Postulate 1: Postulate : terms that are explained using undefined and/or other defined terms
More informationCopyright 2009 Pearson Education, Inc. Chapter 9 Section 1 Slide 1 AND
Copyright 2009 Pearson Education, Inc. Chapter 9 Section 1 Slide 1 AND Chapter 9 Geometry Copyright 2009 Pearson Education, Inc. Chapter 9 Section 1 Slide 2 WHAT YOU WILL LEARN Points, lines, planes, and
More informationDescribe Plane Shapes
Lesson 12.1 Describe Plane Shapes You can use math words to describe plane shapes. point an exact position or location line endpoints line segment ray a straight path that goes in two directions without
More informationSection 9.1. Points, Lines, Planes, and Angles. Copyright 2013, 2010, 2007, Pearson, Education, Inc.
Section 9.1 Points, Lines, Planes, and Angles What You Will Learn Points Lines Planes Angles 9.1-2 Basic Terms A point, line, and plane are three basic terms in geometry that are NOT given a formal definition,
More informationContents. Lines, angles and polygons: Parallel lines and angles. Triangles. Quadrilaterals. Angles in polygons. Congruence.
Colegio Herma. Maths Bilingual Departament Isabel Martos Martínez. 2015 Contents Lines, angles and polygons: Parallel lines and angles Triangles Quadrilaterals Angles in polygons Congruence Similarity
More informationNORTH HAVEN HIGH SCHOOL. Geometry (Level 2 and Level 3) Summer Assignment 2016
221 Elm Street NORTH HAVEN HIGH SCHOOL North Haven, CT 06473 June 2016 Geometry (Level 2 and Level 3) Summer Assignment 2016 Dear Parent(s) or Guardian(s): Your child is currently scheduled to take Geometry
More informationMoore Catholic High School Math Department
Moore Catholic High School Math Department Geometry Vocabulary The following is a list of terms and properties which are necessary for success in a Geometry class. You will be tested on these terms during
More informationContents. Lines, angles and polygons: Parallel lines and angles. Triangles. Quadrilaterals. Angles in polygons. Congruence.
Colegio Herma. Maths Bilingual Departament Isabel Martos Martínez. 2015 Contents Lines, angles and polygons: Parallel lines and angles Triangles Quadrilaterals Angles in polygons Congruence Similarity
More informationUnit 3 Geometry. Chapter 7 Geometric Relationships Chapter 8 Measurement Relationships Chapter 9 Optimizing Measurements MPM1D
Unit 3 Geometry Chapter 7 Geometric Relationships Chapter 8 Measurement Relationships Chapter 9 Optimizing Measurements MPM1D Chapter 7 Outline Section Subject Homework Notes Lesson and Homework Complete
More informationNORTH HAVEN HIGH SCHOOL. Applied Geometry (Level 1) Summer Assignment 2017
NORTH HAVEN HIGH SCHOOL 221 Elm Street North Haven, CT 06473 June 2017 Applied Geometry (Level 1) Summer Assignment 2017 Dear Parents, Guardians, and Students, The Geometry curriculum builds on geometry
More informationMATH 113 Section 8.2: Two-Dimensional Figures
MATH 113 Section 8.2: Two-Dimensional Figures Prof. Jonathan Duncan Walla Walla University Winter Quarter, 2008 Outline 1 Classifying Two-Dimensional Shapes 2 Polygons Triangles Quadrilaterals 3 Other
More informationReporting Category 3. Geometry and Measurement BINGO
Reporting Category 3 Geometry and Measurement BINGO names an exact location in space, named by a capital letter Has NO width, length, or depth. 2 a straight path with 2 endpoints, has a definite beginning
More informationU4 Polygon Notes January 11, 2017 Unit 4: Polygons
Unit 4: Polygons 180 Complimentary Opposite exterior Practice Makes Perfect! Example: Example: Practice Makes Perfect! Def: Midsegment of a triangle - a segment that connects the midpoints of two sides
More informationMath 7, Unit 8: Geometric Figures Notes
Math 7, Unit 8: Geometric Figures Notes Points, Lines and Planes; Line Segments and Rays s we begin any new topic, we have to familiarize ourselves with the language and notation to be successful. My guess
More information1. Write three things you already know about angles. Share your work with a classmate. Does your classmate understand what you wrote?
LESSON : PAPER FOLDING. Write three things you already know about angles. Share your work with a classmate. Does your classmate understand what you wrote? 2. Write your wonderings about angles. Share your
More informationAngles, Polygons, Circles
Page 1 of 5 Part One Last week we learned about the angle properties of circles and used them to solve a simple puzzle. This week brings a new puzzle that will make us use our algebra a bit more. But first,
More informationheptagon; not regular; hexagon; not regular; quadrilateral; convex concave regular; convex
10 1 Naming Polygons A polygon is a plane figure formed by a finite number of segments. In a convex polygon, all of the diagonals lie in the interior. A regular polygon is a convex polygon that is both
More informationTerm Definition Figure
Notes LT 1.1 - Distinguish and apply basic terms of geometry (coplanar, collinear, bisectors, congruency, parallel, perpendicular, etc.) Term Definition Figure collinear on the same line (note: you do
More informationGEOMETRY is the study of points in space
CHAPTER 5 Logic and Geometry SECTION 5-1 Elements of Geometry GEOMETRY is the study of points in space POINT indicates a specific location and is represented by a dot and a letter R S T LINE is a set of
More informationYimin Math Centre. 6.1 Properties of geometrical figures Recognising plane shapes... 1
Yimin Math Centre Student Name: Grade: Date: Score: Table of Contents 6 Year 7 Term 3 Week 6 Homework 1 6.1 Properties of geometrical figures............................ 1 6.1.1 Recognising plane shapes...........................
More informationPolygons, Congruence, Similarity Long-Term Memory Review Grade 8 Review 1
Review 1 1. In the diagram below, XYZ is congruent to CDE XYZ CDE. Y D E X Z C Complete the following statements: a) C b) XZ c) CDE d) YZ e) Z f) DC 2. In the diagram below, ABC is similar to DEF ABC DEF.
More informationGeometry Vocabulary. Name Class
Geometry Vocabulary Name Class Definition/Description Symbol/Sketch 1 point An exact location in space. In two dimensions, an ordered pair specifies a point in a coordinate plane: (x,y) 2 line 3a line
More informationGeometry Practice. 1. Angles located next to one another sharing a common side are called angles.
Geometry Practice Name 1. Angles located next to one another sharing a common side are called angles. 2. Planes that meet to form right angles are called planes. 3. Lines that cross are called lines. 4.
More informationGeometry Foundations Planning Document
Geometry Foundations Planning Document Unit 1: Chromatic Numbers Unit Overview A variety of topics allows students to begin the year successfully, review basic fundamentals, develop cooperative learning
More informationCambridge Essentials Mathematics Core 9 GM1.1 Answers. 1 a
GM1.1 Answers 1 a b 2 Shape Name Regular Irregular Convex Concave A Decagon B Octagon C Pentagon D Quadrilateral E Heptagon F Hexagon G Quadrilateral H Triangle I Triangle J Hexagon Original Material Cambridge
More informationMath 7, Unit 08: Geometric Figures Notes
Math 7, Unit 08: Geometric Figures Notes Points, Lines and Planes; Line Segments and Rays s we begin any new topic, we have to familiarize ourselves with the language and notation to be successful. My
More informationMPM1D Page 1 of 6. length, width, thickness, area, volume, flatness, infinite extent, contains infinite number of points. A part of a with endpoints.
MPM1D Page 1 of 6 Unit 5 Lesson 1 (Review) Date: Review of Polygons Activity 1: Watch: http://www.mathsisfun.com/geometry/dimensions.html OBJECT Point # of DIMENSIONS CHARACTERISTICS location, length,
More informationSHAPE AND STRUCTURE. Shape and Structure. An explanation of Mathematical terminology
Shape and Structure An explanation of Mathematical terminology 2005 1 POINT A dot Dots join to make lines LINE A line is 1 dimensional (length) A line is a series of points touching each other and extending
More informationAngle Unit Definitions
ngle Unit Definitions Name lock Date Term Definition Notes Sketch D djacent ngles Two coplanar angles with a coon side, a coon vertex, and no coon interior points. Must be named with 3 letters OR numbers
More informationGeometry Vocabulary. acute angle-an angle measuring less than 90 degrees
Geometry Vocabulary acute angle-an angle measuring less than 90 degrees angle-the turn or bend between two intersecting lines, line segments, rays, or planes angle bisector-an angle bisector is a ray that
More informationIndex COPYRIGHTED MATERIAL. Symbols & Numerics
Symbols & Numerics. (dot) character, point representation, 37 symbol, perpendicular lines, 54 // (double forward slash) symbol, parallel lines, 54, 60 : (colon) character, ratio of quantity representation
More informationSkill. 69 Graph Ordered Pairs. (First Quadrant) Using Skill 69 COMMON ERRORS. 285 Holt Mathematics. OBJECTIVE Graph ordered pairs (first quadrant)
Skill Graph Ordered Pairs (First Quadrant) Using Skill OBJECTIVE Graph ordered pairs (first quadrant) Minutes Direct students attention to the definition at the top of the page. Work through the example
More informationAnswer Key. 1.1 The Three Dimensions. Chapter 1 Basics of Geometry. CK-12 Geometry Honors Concepts 1. Answers
1.1 The Three Dimensions 1. Possible answer: You need only one number to describe the location of a point on a line. You need two numbers to describe the location of a point on a plane. 2. vary. Possible
More informationBoardworks Ltd KS3 Mathematics. S1 Lines and Angles
1 KS3 Mathematics S1 Lines and Angles 2 Contents S1 Lines and angles S1.1 Labelling lines and angles S1.2 Parallel and perpendicular lines S1.3 Calculating angles S1.4 Angles in polygons 3 Lines In Mathematics,
More informationMoore Catholic High School Math Department
Moore Catholic High School Math Department Geometry Vocabulary The following is a list of terms and properties which are necessary for success in a Geometry class. You will be tested on these terms during
More informationPoints, lines, angles
Points, lines, angles Point Line Line segment Parallel Lines Perpendicular lines Vertex Angle Full Turn An exact location. A point does not have any parts. A straight length that extends infinitely in
More information1.1 Building Blocks of Geometry
1.1 uilding locks of Geometry Name Definition Picture Short Rorm Point A location in space The point P Line An infinite number of points extending in two directions. A line only has length. T M TM Ray
More informationNumber and Operations - Fractions
NF.1.3c Number and Operations - Fractions NF.1.3 NF.1.2b NF.1.2a Understand Fractions February 3 - February 20 NF.1.2 NF.1.1 Math! Lessons Develop understanding of fractions as numbers. Understand a fraction
More informationFirst we need a more precise, rigorous definition:
Lesson 21 Lesson 20, page 1 of 8 Glencoe Geometry Chapter 10.1 Polygons & Area We have been working with special types of polygons throughout the year. Rectangles, Squares, Trapezoids, and, yes, Triangles
More informationPolygons. Name each polygon Find the sum of the angle measures in each figure
Practice A Polygons Name each polygon. 1. 2. 3. Find the sum of the angle measures in each figure. 4. 5. 6. 7. 8. 9. Find the angle measures in each regular polygon. 10. 11. 12. 13. 14. 15. Give all the
More information5th Grade Geometry
Slide 1 / 112 Slide 2 / 112 5th Grade Geometry 2015-11-23 www.njctl.org Slide 3 / 112 Geometry Unit Topics Click on the topic to go to that section Polygons Classifying Triangles & Quadrilaterals Coordinate
More informationLesson Polygons
Lesson 4.1 - Polygons Obj.: classify polygons by their sides. classify quadrilaterals by their attributes. find the sum of the angle measures in a polygon. Decagon - A polygon with ten sides. Dodecagon
More informationSTANDARDS OF LEARNING CONTENT REVIEW NOTES HONORS GEOMETRY. 3 rd Nine Weeks,
STANDARDS OF LEARNING CONTENT REVIEW NOTES HONORS GEOMETRY 3 rd Nine Weeks, 2016-2017 1 OVERVIEW Geometry Content Review Notes are designed by the High School Mathematics Steering Committee as a resource
More informationReteach. Chapter 14. Grade 4
Reteach Chapter 14 Grade 4 Lesson 1 Reteach Draw Points, Lines, and Rays A point is an exact location that is represented by a dot. Example: point R R A line goes on forever in both directions. Example:
More informationSection 1-1 Points, Lines, and Planes
Section 1-1 Points, Lines, and Planes I CAN. Identify and model points, lines, and planes. Identify collinear and coplanar points and intersecting lines and planes in space. Undefined Term- Words, usually
More informationPolygons. 5 sides 5 angles. pentagon. no no R89. Name
Lesson 11.1 Polygons A polygon is a closed plane figure formed by three or more line segments that meet at points called vertices. You can classify a polygon by the number of sides and the number of angles
More informationGeometry Unit 6 Properties of Quadrilaterals Classifying Polygons Review
Geometry Unit 6 Properties of Quadrilaterals Classifying Polygons Review Polygon a closed plane figure with at least 3 sides that are segments -the sides do not intersect except at the vertices N-gon -
More informationMAT104: Fundamentals of Mathematics II Introductory Geometry Terminology Summary. Section 11-1: Basic Notions
MAT104: Fundamentals of Mathematics II Introductory Geometry Terminology Summary Section 11-1: Basic Notions Undefined Terms: Point; Line; Plane Collinear Points: points that lie on the same line Between[-ness]:
More informationMrs. Daniel s Geometry Vocab List
Mrs. Daniel s Geometry Vocab List Geometry Definition: a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. Refectional Symmetry Definition:
More information2. A straightedge can create straight line, but can't measure. A ruler can create straight lines and measure distances.
5.1 Copies of Line Segments and Angles Answers 1. A drawing is a rough sketch and a construction is a process to create an exact and accurate geometric figure. 2. A straightedge can create straight line,
More informationPostulates, Theorems, and Corollaries. Chapter 1
Chapter 1 Post. 1-1-1 Through any two points there is exactly one line. Post. 1-1-2 Through any three noncollinear points there is exactly one plane containing them. Post. 1-1-3 If two points lie in a
More informationThe National Strategies Secondary Mathematics exemplification: Y8, 9
Mathematics exemplification: Y8, 9 183 As outcomes, Year 8 pupils should, for example: Understand a proof that the sum of the angles of a triangle is 180 and of a quadrilateral is 360, and that the exterior
More informationConstructing Symmetrical Shapes
1 Constructing Symmetrical Shapes 1 Construct 2-D shapes with one line of symmetry A line of symmetry may be horizontal or vertical 2 a) Use symmetry to complete the picture b) Describe the method you
More informationElementary Planar Geometry
Elementary Planar Geometry What is a geometric solid? It is the part of space occupied by a physical object. A geometric solid is separated from the surrounding space by a surface. A part of the surface
More informationDevelopmental Math An Open Program Unit 7 Geometry First Edition
Developmental Math An Open Program Unit 7 Geometry First Edition Lesson 1 Basic Geometric Concepts and Figures TOPICS 7.1.1 Figures in 1 and 2 Dimensions 1 Identify and define points, lines, line segments,
More informationPolygons. Discuss with a partner what a POLYGON is. Write down the key qualities a POLYGON has. Share with the class what a polygon is?
Polygons Use a ruler to draw 3 different POLYGONS Discuss with a partner what a POLYGON is Write down the key qualities a POLYGON has Share with the class what a polygon is? *Can you find the area of each
More informationReteaching Transversals and Angle Relationships
Name Date Class Transversals and Angle Relationships INV Transversals A transversal is a line that intersects two or more coplanar lines at different points. Line a is the transversal in the picture to
More informationEuclid s Muse Directions
Euclid s Muse Directions First: Draw and label three columns on your chart paper as shown below. Name Picture Definition Tape your cards to the chart paper (3 per page) in the appropriate columns. Name
More informationSTANDARDS OF LEARNING CONTENT REVIEW NOTES GEOMETRY. 3 rd Nine Weeks,
STANDARDS OF LEARNING CONTENT REVIEW NOTES GEOMETRY 3 rd Nine Weeks, 2016-2017 1 OVERVIEW Geometry Content Review Notes are designed by the High School Mathematics Steering Committee as a resource for
More informationPerformance Objectives Develop dictionary terms and symbols
Basic Geometry Course Name: Geometry Unit: 1 Terminology & Fundamental Definitions Time Line: 4 to 6 weeks Building Blocks of Geometry Define & identify point, line, plane angle, segment, ray, midpoint,
More informationChapter 1-2 Points, Lines, and Planes
Chapter 1-2 Points, Lines, and Planes Undefined Terms: A point has no size but is often represented by a dot and usually named by a capital letter.. A A line extends in two directions without ending. Lines
More informationMath 3315: Geometry Vocabulary Review Human Dictionary: WORD BANK
Math 3315: Geometry Vocabulary Review Human Dictionary: WORD BANK [acute angle] [acute triangle] [adjacent interior angle] [alternate exterior angles] [alternate interior angles] [altitude] [angle] [angle_addition_postulate]
More informationPolygons. L E S S O N 1.4
Page 1 of 5 L E S S O N 1.4 Polygons A polygon is a closed figure in a plane, formed by connecting line segments endpoint to endpoint with each segment intersecting exactly two others. Each line segment
More informationMath 6, Unit 8 Notes: Geometric Relationships
Math 6, Unit 8 Notes: Geometric Relationships Points, Lines and Planes; Line Segments and Rays As we begin any new topic, we have to familiarize ourselves with the language and notation to be successful.
More informationPolygons are named by the number of sides they have:
Unit 5 Lesson 1 Polygons and Angle Measures I. What is a polygon? (Page 322) A polygon is a figure that meets the following conditions: It is formed by or more segments called, such that no two sides with
More informationup of two rays that share the same endpoint.
Space: Extends in all directions indefinitely Plane: A flat surface that extends indefinitely. Point: Has no length, no width, and no height, but it does have a location. Line: A set of points extending
More informationUnit 1: Shapes and Designs. Practice Problems
Unit 1: Shapes and Designs Investigation 1: The Family of Polygons Practice Problems Directions: Please complete the necessary problems to earn a maximum of 11 points according to the chart below. Show
More informationChapter 8. Properties of Triangles and Quadrilaterals. 02/2017 LSowatsky
Chapter 8 Properties of Triangles and Quadrilaterals 02/2017 LSowatsky 1 8-1A: Points, Lines, and Planes I can Identify and label basic geometric figures. LSowatsky 2 Vocabulary: Point: a point has no
More informationGeometry Lesson 1 Introduction to Geometry (Grades 9-12) Instruction 1-5 Definitions of Figures
efinitions of igures Quadrilaterals Quadrilaterals are closed four-sided figures. The interior angles of a quadrilateral always total 360. Quadrilaterals classified in two groups: Trapeziums and Trapezoids.
More informationame Date Class Practice A 11. What is another name for a regular quadrilateral with four right angles?
ame Date Class Practice A Polygons Name each polygon. 1. 2. 3. 4. 5. 6. Tell whether each polygon appears to be regular or not regular. 7. 8. 9. 10. What is another name for a regular triangle? 11. What
More informationUnit 2: Triangles and Polygons
Unit 2: Triangles and Polygons Background for Standard G.CO.9: Prove theorems about lines and angles. Objective: By the end of class, I should Using the diagram below, answer the following questions. Line
More information4 Mathematics Curriculum. Module Overview... i Topic A: Lines and Angles... 4.A.1. Topic B: Angle Measurement... 4.B.1
New York State Common Core 4 Mathematics Curriculum G R A D E Table of Contents GRADE 4 MODULE 4 Angle Measure and Plane Figures GRADE 4 MODULE 4 Module Overview... i Topic A: Lines and Angles... 4.A.1
More informationGeometric Ideas. Name
Geometric Ideas R 6-1 Lines, line segments, and rays are basic geometric ideas. They are sometimes described by the relationship they have to other lines, line segments, and rays. Draw Write Say Description
More informationPolygons. 5 sides 5 angles. pentagon. Name
Lesson 11.1 Reteach Polygons A polygon is a closed plane figure formed by three or more line segments that meet at points called vertices. You can classify a polygon by the number of sides and the number
More informationPolygons. Discuss with a partner what a POLYGON is. Write down the key qualities a POLYGON has. Share with the class what a polygon is?
Polygons Use a ruler to draw 3 different POLYGONS Discuss with a partner what a POLYGON is Write down the key qualities a POLYGON has Share with the class what a polygon is? *Can you find the area of each
More informationMR. JIMENEZ FINAL EXAM REVIEW GEOMETRY 2011
PAGE 1 1. The area of a circle is 25.5 in. 2. Find the circumference of the circle. Round your answers to the nearest tenth. 2. The circumference of a circle is 13.1 in. Find the area of the circle. Round
More informationMrs. Daniel s Geometry Vocab List
Mrs. Daniel s Geometry Vocab List Geometry Definition: a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. Reflectional Symmetry
More informationSelect the best answer. Bubble the corresponding choice on your scantron. Team 13. Geometry
Team Geometry . What is the sum of the interior angles of an equilateral triangle? a. 60 b. 90 c. 80 d. 60. The sine of angle A is. What is the cosine of angle A? 6 4 6 a. b. c.. A parallelogram has all
More informationUnit 1, Lesson 1: Moving in the Plane
Unit 1, Lesson 1: Moving in the Plane Let s describe ways figures can move in the plane. 1.1: Which One Doesn t Belong: Diagrams Which one doesn t belong? 1.2: Triangle Square Dance m.openup.org/1/8-1-1-2
More informationTOPIC 2 Building Blocks of Geometry. Good Luck To
Good Luck To Period Date PART I DIRECTIONS: Use the Terms (page 2), Definitions (page 3), and Diagrams (page 4) to complete the table Term (capital letters) 1. Chord 2. Definition (roman numerals) Pictures
More informationFinal Review Chapter 1 - Homework
Name Date Final Review Chapter 1 - Homework Part A Find the missing term in the sequence. 1. 4, 8, 12, 16,, 7. 2. -5, 3, -2, 1, -1, 0,, 3. 1, 5, 14, 30, 55,, 8. List the three steps of inductive reasoning:
More informationPre-Algebra, Unit 10: Measurement, Area, and Volume Notes
Pre-Algebra, Unit 0: Measurement, Area, and Volume Notes Triangles, Quadrilaterals, and Polygons Objective: (4.6) The student will classify polygons. Take this opportunity to review vocabulary and previous
More informationReady to Go On? Skills Intervention Building Blocks of Geometry
8-1 Ready to Go On? Skills Intervention Building Blocks of Geometry A point is an exact location. A line is a straight path that extends without end in opposite directions. A plane is a flat surface that
More informationGeometry First Semester Practice Final (cont)
49. Determine the width of the river, AE, if A. 6.6 yards. 10 yards C. 12.8 yards D. 15 yards Geometry First Semester Practice Final (cont) 50. In the similar triangles shown below, what is the value of
More informationAnswer Key. 1.1 Basic Geometric Definitions. Chapter 1 Basics of Geometry. CK-12 Geometry Concepts 1
1.1 Basic Geometric Definitions 1. WX, XW, WY, YW, XY, YX and line m. 2. Plane V, Plane RST, Plane RTS, Plane STR, Plane SRT, Plane TSR, and Plane TRS. 3. 4. A Circle 5. PQ intersects RS at point Q 6.
More information8 Quadrilaterals. Before
8 Quadrilaterals 8. Find Angle Measures in Polygons 8. Use Properties of Parallelograms 8.3 Show that a Quadrilateral is a Parallelogram 8.4 Properties of Rhombuses, Rectangles, and Squares 8.5 Use Properties
More informationMain Idea: classify polygons and determine which polygons can form a tessellation.
10 8: Polygons and Tesselations Main Idea: classify polygons and determine which polygons can form a tessellation. Vocabulary: polygon A simple closed figure in a plane formed by three or more line segments
More informationVocabulary for Geometry. Line (linea) a straight collection of points extending in opposite directions without end.
Vocabulary for Geometry Line (linea) a straight collection of points extending in opposite directions without end. A line AB or line BA B Symbol for a line is AB Jan 27 2:56 PM Line Segment (linea segmento)
More informationEssential Questions Content Skills Assessments Standards/PIs Resources/Notes. Restates a nonmathematical. using logic notation
Map: Geometry R+ Type: Consensus Grade Level: 10 School Year: 2011-2012 Author: Jamie Pietrantoni District/Building: Island Trees/Island Trees High School Created: 05/10/2011 Last Updated: 06/28/2011 Essential
More informationSkill: Polygons. Vocabulary: Polygon a closed two-dimensional figure with straight edges
Skill: Polygons Standard: 5.13.a ~ The student, using plane figures (square, rectangle, triangle, parallelogram, rhombus, and trapezoid), will develop definitions of these plane figures; 5.13.b ~ The student,
More information