Unit 3 Geometry. Chapter 7 Geometric Relationships Chapter 8 Measurement Relationships Chapter 9 Optimizing Measurements MPM1D
|
|
- Dustin Hines
- 6 years ago
- Views:
Transcription
1 Unit 3 Geometry Chapter 7 Geometric Relationships Chapter 8 Measurement Relationships Chapter 9 Optimizing Measurements MPM1D
2 Chapter 7 Outline Section Subject Homework Notes Lesson and Homework Complete (initial) 7.0 Geometry Intro 7.1 Angle Relationships in Triangles 7.2 Angle Relationships in Rectangles 7.3 Angle Relationships in Polygons Unit Performance Homework Completion: None Some Most All Days absent: Test Review Complete? None Some All Assignment Mark (%): Test Mark (%): Notes to yourself to help with exam preparation:
3 Chapter 8 Outline Section Subject Homework Notes Lesson and Homework Complete (initial) 8.1 Pythagorean Theorem 8.2 Perimeter and Area of Composite Figures 8.3a Volume of Prisms and Pyramids 8.3b Surface Area of Prisms and Pyramids 8.4/8.5 Volume and Surface Area of Cones 8.6/8.7 Volume and Surface Area of Spheres Unit Performance Homework Completion: None Some Most All Days absent: Test Review Complete? None Some All Assignment Mark (%): Test Mark (%): Notes to yourself to help with exam preparation:
4 Chapter 9 Outline Section Subject Homework Notes Lesson and Homework Complete (initial) Perimeter and Area Relationships of a Rectangle Minimize the Surface Area of a Square Based Prism Maximize the Volume of a Square Based Prism 9.4 Maximize the Volume of a Cylinder Culminating Assignment Unit Performance Homework Completion: None Some Most All Days absent: Test Review Complete? None Some All Assignment Mark (%): Test Mark (%): Notes to yourself to help with exam preparation:
5 Section 7.0 Geometry Intro MPM1D Jensen Part 1: Classifying Triangles Classify Using Side Lengths: Scalene Triangle - no equal sides or angles Isosceles Triangle - 2 equal sides - 2 equal angles Equilateral Triangle - 3 equal sides - 3 equal angles Classify Using Angle Measures: Acute Triangle - 3 acute angles (less than 90 degrees) Right Triangle - one right angle (90 degrees) Obtuse Triangle - one obtuse angle (between 90 and 180 degrees)
6 Example 1: Classify Each Triangle Using its Side Lengths a) b) Example 2: Classify Each Triangle in Two ways using its angle measures a) b) Part 2: Classifying Polygons A polygon is a closed figure formed by three or more line segments. A regular polygon has all sides equal and all angles equal. Some quadrilaterals have special names. A regular quadrilateral is a square.
7 An irregular quadrilateral may be a rectangle, rhombus, parallelogram, or trapezoid Example 3: Classify each polygon according to its number of sides and whether it is regular or irregular. a) b) Example 4: Classify each quadrilateral a) b)
8 Part 3: Angle Properties Opposite Angles: - When 2 angles intersect, the opposite angles are equal. Supplementary Angles: - angles that add to 180 degrees - angles on a straight line are supplementary Complementary Angles: - angles that add to 90 degrees Part 4: Parallel Line Theorems When a transversal crosses parallel lines, many pairs of angles are related Alternate Interior Angles are equal - Z pattern Corresponding Angles are equal - F pattern Co- Interior Angles add to C pattern
9 Part 6: Triangle Theorems The sum of the interior angles of a triangle is 180 degrees. The exterior angle is equal to the sum of the 2 opposite interior angles. Example 5: Find the measure of the third angle in each triangle a) b) Example 6: Find the measure of the angles a, b, and c. Give reasons for your answers a) b)
10 Section 7.1 Angle Relationships in Triangles MPM1D Jensen Interior and Exterior Angles Interior Angle - angle formed on the inside of a polygon by two sides meeting at a vertex. Exterior Angle - angle formed on the outside of a geometric shape by extending one of the sides past a vertex. You Must Remember Supplementary Angles: - angles that add to 180 degrees - angles on a straight line are supplementary The sum of the interior angles of a triangle is 180 degrees.
11 New Exterior Angle Rules The exterior angle is equal to the sum of the 2 opposite interior angles. The sum of the exterior angles of a triangle is 360 degrees. Example 1: Find the measures of the exterior angles in ABC Note: at vertex A and B, the interior and exterior angles are supplementary angles (form an angle of 180 degrees) DAB: EBC: ACF: Method 1: Since the exterior angle at a vertex of a triangle is equal to the sum of the interior angles at the other two vertices... Method 2: Since the sum of the exterior angles of a triangle is 360 degrees...
12 The measures of the three exterior angles are: DAB = EBC = ACF = Example 2: Find the measure of the indicated angle Example 3: Find the measure of the indicated angle Example 4: Find the measure of the exterior angle at vertex X
13 Example 5: What is the measure of each exterior angle of an equilateral triangle? All angles in an equilateral triangle are. Therefore all three interior angles are... At each vertex, the interior angle and exterior angle are supplementary, meaning they sum to. Therefore all three exterior angles are...
14 Section 7.2 Angle Relationships in Quadrilaterals MPM1D Jensen Angle Relationships in Quadrilaterals The sum of the interior angles of a quadrilateral is 360 degrees. The sum of the exterior angles of a quadrilateral is also 360 degrees. Angle Relationships in Parallelograms Adjacent angles in a parallelogram are supplementary (add to 180). Opposite angles in a parallelogram are equal. Example 1: Find the measure of the unknown angle
15 Example 2: Find the measure of the unknown angle Example 3: Find the measure of the unknown angle Example 4: Find the measure of the unknown angle Example 5: Find the measure of the unknown angle
16 Example 6: Find the measure of the unknown angle Example 7: Find the measure of the unknown angle Example 8: Find the measure of the unknown angle
17 Section 7.3 Angle Relationships in Polygons MPM1D Jensen Types of Polygons Convex Polygon: All interior angles measure less than 180 degrees. - no part of any line segment joining two points on the polygon goes outside the polygon. Concave Polygon: Can have interior angles greater than 180 degrees. - parts of some line segments joining two points on the polygon go outside the polygon. Regular Polygon: All sides are equal and all interior angles are equal. Angle Properties in Polygons The sum of the exterior angles of a convex polygon is 360 degrees. For a polygon with n sides, the sum of the interior angles, in degrees, is 180(n 2) For a regular polygon with n sides, the measure of each interior angle is equal to:!"#(!!!) For a regular polygon with n sides, the measure of each exterior angle is equal to:!"#!!
18 Example 1: Calculate the sum of the interior angles of an octagon Example 2: Calculate the measure of each of the interior angles of a regular octagon. Example 3: Calculate the measure of each of the exterior angles of a regular octagon. Example 4: How many sides does a polygon have if each of its interior angles measure 140 degrees? Example 5: The measure of one of the exterior angles of a regular polygon is 30 degrees. How many sides does it have?
19 Example 6: Five angles of a hexagon have measures 100, 110, 120, 130, and 140. What is the measure of the sixth angle? Example 7: Solve for x. Complete the following chart and then complete the worksheet
Chapter 7 Geometric Relationships. Practice Worksheets MPM1D
Chapter 7 Geometric Relationships Practice Worksheets MPM1D Chapter 7 Geometric Relationships Intro Worksheet MPM1D Jensen Part 1: Classify Triangles 1. Classify each triangle according to its side lengths.
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
Unit 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
Geometry. 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
Geometry 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 -
Answer 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
An 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.
Section 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,
MPM1D 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,
Mgr. ubomíra Tomková GEOMETRY
GEOMETRY NAMING ANGLES: any angle less than 90º is an acute angle any angle equal to 90º is a right angle any angle between 90º and 80º is an obtuse angle any angle between 80º and 60º is a reflex angle
Polygons - Part 1. Triangles
Polygons - Part 1 Triangles Introduction Complementary Angles: are two angles that add up to 90 Example: degrees A ADB = 65 degrees Therefore B + ADB BDC 65 deg 25 deg D BDC = 25 degrees C 90 Degrees Introduction
Copyright 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
Math 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.
Index 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
High School Geometry. Correlation of the ALEKS course High School Geometry to the ACT College Readiness Standards for Mathematics
High School Geometry Correlation of the ALEKS course High School Geometry to the ACT College Readiness Standards for Mathematics Standard 5 : Graphical Representations = ALEKS course topic that addresses
Geometry Workbook WALCH PUBLISHING
Geometry Workbook WALCH PUBLISHING Table of Contents To the Student..............................vii Unit 1: Lines and Triangles Activity 1 Dimensions............................. 1 Activity 2 Parallel
JEFFERSON COLLEGE COURSE SYLLABUS MTH 009 GEOMETRY. 1 Credit Hour. Prepared By: Carol Ising. Revised Date: September 9, 2008 by: Carol Ising
JEFFERSON COLLEGE COURSE SYLLABUS MTH 009 GEOMETRY 1 Credit Hour Prepared By: Carol Ising Revised Date: September 9, 2008 by: Carol Ising Arts & Science Education Dr. Mindy Selsor, Dean MTH009 Geometry
Geometry/Trigonometry Unit 5: Polygon Notes Period:
Geometry/Trigonometry Unit 5: Polygon Notes Name: Date: Period: # (1) Page 270 271 #8 14 Even, #15 20, #27-32 (2) Page 276 1 10, #11 25 Odd (3) Page 276 277 #12 30 Even (4) Page 283 #1-14 All (5) Page
7) Are HD and HA the same line?
Review for Exam 2 Math 123 SHORT ANSWER. You must show all work to receive full credit. Refer to the figure to classify the statement as true or false. 7) Are HD and HA the same line? Yes 8) What is the
Chapter 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
GEOMETRY 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
Mrs. 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:
Points, 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
Course: Geometry Level: Regular Date: 11/2016. Unit 1: Foundations for Geometry 13 Days 7 Days. Unit 2: Geometric Reasoning 15 Days 8 Days
Geometry Curriculum Chambersburg Area School District Course Map Timeline 2016 Units *Note: unit numbers are for reference only and do not indicate the order in which concepts need to be taught Suggested
PA Core Standards For Mathematics Curriculum Framework Geometry
Patterns exhibit relationships How can patterns be used to describe Congruence G.1.3.1.1 and Similarity G.1.3.1.2 described, and generalized. situations? G.1.3.2.1 Use properties of congruence, correspondence,
ACT Math and Science - Problem Drill 11: Plane Geometry
ACT Math and Science - Problem Drill 11: Plane Geometry No. 1 of 10 1. Which geometric object has no dimensions, no length, width or thickness? (A) Angle (B) Line (C) Plane (D) Point (E) Polygon An angle
Contents. 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
GEOMETRY. Background Knowledge/Prior Skills. Knows ab = a b. b =
GEOMETRY Numbers and Operations Standard: 1 Understands and applies concepts of numbers and operations Power 1: Understands numbers, ways of representing numbers, relationships among numbers, and number
1. Identify the different parts of a triangle 2. Classify triangles by their angle measures 3. Classify triangles by their side lengths
Lesson 8 Lesson 8, page 1 of 6 Glencoe Geometry Chapter 4.1, 4.2 Classifying Triangles & Angle Measure By the end of this lesson, you should be able to 1. Identify the different parts of a triangle 2.
SHAPE 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
A closed plane figure with at least 3 sides The sides intersect only at their endpoints. Polygon ABCDEF
A closed plane figure with at least 3 sides The sides intersect only at their endpoints B C A D F E Polygon ABCDEF The diagonals of a polygon are the segments that connects one vertex of a polygon to another
Geometry Vocabulary Math Fundamentals Reference Sheet Page 1
Math Fundamentals Reference Sheet Page 1 Acute Angle An angle whose measure is between 0 and 90 Acute Triangle A that has all acute Adjacent Alternate Interior Angle Two coplanar with a common vertex and
Geometry Honors Summer Assignment 2018/19 School Year
Geometry Honors Summer Assignment 2018/19 School Year This summer assignment is review of all material that is important to know for the Geometry Honors course. Each topic is broken down into categories
T103 Final Review Sheet. Central Angles. Inductive Proof. Transversal. Rectangle
T103 Final Review Sheet Know the following definitions and their notations: Point Hexa- Space Hepta- Line Octa- Plane Nona- Collinear Deca- Coplanar Dodeca- Intersect Icosa- Point of Intersection Interior
Cambridge 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
CORRELATION TO GEORGIA QUALITY CORE CURRICULUM FOR GEOMETRY (GRADES 9-12)
CORRELATION TO GEORGIA (GRADES 9-12) SUBJECT AREA: Mathematics COURSE: 27. 06300 TEXTBOOK TITLE: PUBLISHER: Geometry: Tools for a Changing World 2001 Prentice Hall 1 Solves problems and practical applications
Geometry Mathematics Content Standards
85 The geometry skills and concepts developed in this discipline are useful to all students. Aside from learning these skills and concepts, students will develop their ability to construct formal, logical
of triangles, exterior, 112 interior, 112 real-life application, 113 similar, 128 vertical constructions,
This student-friendly index will help you find vocabulary, key ideas, and concepts. It is easily accessible and designed to be a reference for you whether you are looking for a definition, real-life application,
SEVENTH EDITION and EXPANDED SEVENTH EDITION
SEVENTH EDITION and EXPANDED SEVENTH EDITION Slide 9-1 Chapter 9 Geometry 9.1 Points, Lines, Planes, and Angles Basic Terms A line segment is part of a line between two points, including the endpoints.
Mrs. 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
MANHATTAN HUNTER SCIENCE HIGH SCHOOL GEOMETRY CURRICULUM
COORDINATE Geometry Plotting points on the coordinate plane. Using the Distance Formula: Investigate, and apply the Pythagorean Theorem as it relates to the distance formula. (G.GPE.7, 8.G.B.7, 8.G.B.8)
Geometry 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
STANDARDS 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
UNIT 0 - MEASUREMENT AND GEOMETRY CONCEPTS AND RELATIONSHIPS
UNIT 0 - MEASUREMENT AND GEOMETRY CONCEPTS AND RELATIONSHIPS UNIT 0 - MEASUREMENT AND GEOMETRY CONCEPTS AND RELATIONSHIPS... 1 INTRODUCTION MATH IS LIKE A DATING SERVICE... 3 A FRAMEWORK FOR UNDERSTANDING
Geometry Foundations Pen Argyl Area High School 2018
Geometry emphasizes the development of logical thinking as it relates to geometric problems. Topics include using the correct language and notations of geometry, developing inductive and deductive reasoning,
Polygons 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
Standard 2.0 Knowledge of Geometry: Students will apply the properties of one-,
VSC - Mathematics Print pages on legal paper, landscape mode. Grade PK Grade K Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8 Geometry: Students will apply the properties of one-, two-,
Extra Practice 1. Name Date. Lesson 1: Exploring Triangles
Master 6.36 Extra Practice 1 Lesson 1: Exploring Triangles 1. Draw 3 different triangles. Measure and label the side lengths. Name each triangle as equilateral, isosceles, or scalene. 2. Name each triangle
Geometry Review for Test 3 January 13, 2016
Homework #7 Due Thursday, 14 January Ch 7 Review, pp. 292 295 #1 53 Test #3 Thurs, 14 Jan Emphasis on Ch 7 except Midsegment Theorem, plus review Betweenness of Rays Theorem Whole is Greater than Part
Chapter 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
GeometryX: Introduction to Geometry
GeometryX: Introduction to Geometry Presented by School Yourself Quick Stats: Course Length: 14 weeks (self-paced) Estimated Effort: 4-6 hours/week Prerequisites: Basic algebra (solving an equation for
UNIT PLAN. Big Idea/Theme: Polygons can be identified, classified, and described.
UNIT PLAN Grade Level: 5 Unit #: 11 Unit Name Geometry Polygons Time: 15 lessons, 18 days Big Idea/Theme: Polygons can be identified, classified, and described. Culminating Assessment: (requirements of
Performance 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,
Digits. Value The numbers a digit. Standard Form. Expanded Form. The symbols used to show numbers: 0,1,2,3,4,5,6,7,8,9
Digits The symbols used to show numbers: 0,1,2,3,4,5,6,7,8,9 Value The numbers a digit represents, which is determined by the position of the digits Standard Form Expanded Form A common way of the writing
Essential 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
Math 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.
UNIT 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
Grade 9 Math Terminology
Unit 1 Basic Skills Review BEDMAS a way of remembering order of operations: Brackets, Exponents, Division, Multiplication, Addition, Subtraction Collect like terms gather all like terms and simplify as
MATH 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
8.1 Find Angle Measures in Polygons
VOCABULARY 8.1 Find Angle Measures in Polygons DIAGONAL Review: EQUILATERAL EQUIANGULAR REGULAR CLASSIFYING POLYGONS Polygon Interior Angle Theorem: The sum of the measures of the interior angles of a
Warm up Exercise. 1. Find the missing angle measure in the figures below: Lesson 54 Angle Relationships & Lesson 55 Nets.notebook.
Warm up Exercise 1. Find the missing angle measure in the figures below: 45 o 29 o 30 o a d 49 o b c 1 Lesson 54: Angle Relationships Intersecting lines form pairs of adjacent angles and pairs of opposite
Moore 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
Warm-Up Exercises. 1. If the measures of two angles of a triangle are 19º and 80º, find the measure of the third angle. ANSWER 81º
Warm-Up Exercises 1. If the measures of two angles of a triangle are 19º and 80º, find the measure of the third angle. 81º 2. Solve (x 2)180 = 1980. 13 Warm-Up Exercises 3. Find the value of x. 126 EXAMPLE
Math-in-CTE Lesson Plan Template
Lesson Development Math-in-CTE Lesson Plan Template Lesson Title: Basic Geometric Concepts Lesson # Author(s): Phone Number(s): E-mail Address(es): Juan Carlos Martínez jcmartinez@dadeschoolsnet Bergman
Geometry 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
Polygons. 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
Geometry Curriculum Map
Geometry Curriculum Map Unit 1 st Quarter Content/Vocabulary Assessment AZ Standards Addressed Essentials of Geometry 1. What are points, lines, and planes? 1. Identify Points, Lines, and Planes 1. Observation
Understanding Quadrilaterals
Understanding Quadrilaterals Parallelogram: A quadrilateral with each pair of opposite sides parallel. Properties: (1) Opposite sides are equal. (2) Opposite angles are equal. (3) Diagonals bisect one
acute angle An angle with a measure less than that of a right angle. Houghton Mifflin Co. 2 Grade 5 Unit 6
acute angle An angle with a measure less than that of a right angle. Houghton Mifflin Co. 2 Grade 5 Unit 6 angle An angle is formed by two rays with a common end point. Houghton Mifflin Co. 3 Grade 5 Unit
Triangle Geometry Isometric Triangles Lesson 1
Triangle eometry Isometric Triangles Lesson 1 Review of all the TORMS in OMTRY that you know or soon will know!. Triangles 1. The sum of the measures of the interior angles of a triangle is 180º (Triangle
8 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
Geometry CP Pen Argyl Area High School 2018
Geometry emphasizes the development of logical thinking as it relates to geometric problems. Topics include using the correct language and notations of geometry, developing inductive and deductive reasoning,
WAYNESBORO AREA SCHOOL DISTRICT CURRICULUM ACCELERATED GEOMETRY (June 2014)
UNIT: Chapter 1 Essentials of Geometry UNIT : How do we describe and measure geometric figures? Identify Points, Lines, and Planes (1.1) How do you name geometric figures? Undefined Terms Point Line Plane
Triangles. Leg = s. Hypotenuse = s 2
Honors Geometry Second Semester Final Review This review is designed to give the student a BASIC outline of what needs to be reviewed for the second semester final exam in Honors Geometry. It is up to
Northern York County School District Curriculum
Course Name Keystone Geometry (1.03 / 1.06 / 1.10) Grade Level Grade 10 Northern York County School District Curriculum Module Instructional Procedures Module 1: Geometric Properties and Reasoning Course
1. Revision Description Reflect and Review Teasers Recall basics of geometrical shapes.
1. Revision Description Reflect and Review Teasers Recall basics of geometrical shapes. A book, a birthday cap and a dice are some examples of 3-D shapes. 1) Write two examples of 2-D shapes and 3-D shapes
Contents. 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
Geometry 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
Geometry Ch 7 Quadrilaterals January 06, 2016
Theorem 17: Equal corresponding angles mean that lines are parallel. Corollary 1: Equal alternate interior angles mean that lines are parallel. Corollary 2: Supplementary interior angles on the same side
Polygon. 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
Killingly Public Schools. Grades Draft Sept. 2002
Killingly Public Schools Grades 10-12 Draft Sept. 2002 ESSENTIALS OF GEOMETRY Grades 10-12 Language of Plane Geometry CONTENT STANDARD 10-12 EG 1: The student will use the properties of points, lines,
Essential Understandings
Understandings Questions Basic properties about lines, angles, two- and three-dimensional figures can be used to solve a variety of theoretical and practical problems. What are the various relationships
Math 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]
Unit 3: 2D and 3D Measurement & Optimizing Measurements ISU
MPM 1DE NAME: Unit 3: D and 3D Measurement & Optimizing Measurements ISU To complete this independent study, you are required to fill in the appropriate information where necessary, work through the given
Grade VIII. Mathematics Geometry Notes. #GrowWithGreen
Grade VIII Mathematics Geometry Notes #GrowWithGreen Polygons can be classified according to their number of sides (or vertices). The sum of all the interior angles of an n -sided polygon is given by,
Bracken County Schools Curriculum Guide Geometry
Geometry Unit 1: Lines and Angles (Ch. 1-3) Suggested Length: 6 weeks Core Content 1. What properties do lines and angles demonstrate in Geometry? 2. How do you write the equation of a line? 3. What affect
West Windsor-Plainsboro Regional School District Basic Geometry Grades 9-12
West Windsor-Plainsboro Regional School District Basic Geometry Grades 9-12 Unit 1: Basics of Geometry Content Area: Mathematics Course & Grade Level: Basic Geometry, 9 12 Summary and Rationale This unit
The Research- Driven Solution to Raise the Quality of High School Core Courses. Geometry. Course Outline
The Research- Driven Solution to Raise the Quality of High School Core Courses Course Outline Course Outline Page 2 of 5 0 1 2 3 4 5 ACT Course Standards A. Prerequisites 1. Skills Acquired by Students
Geometry 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.
Assignment List. Chapter 1 Essentials of Geometry. Chapter 2 Reasoning and Proof. Chapter 3 Parallel and Perpendicular Lines
Geometry Assignment List Chapter 1 Essentials of Geometry 1.1 Identify Points, Lines, and Planes 5 #1, 4-38 even, 44-58 even 27 1.2 Use Segments and Congruence 12 #4-36 even, 37-45 all 26 1.3 Use Midpoint
Geometry 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
Geometry Chapter 8 Test Review
Geometry Chapter 8 Test Review Short Answer 1. Find the sum of the measures of the interior angles of the indicated convex polygon. Decagon 2. Find the sum of the measures of the interior angles of the
A. 180 B. 108 C. 360 D. 540
Part I - Multiple Choice - Circle your answer: REVIEW FOR FINAL EXAM - GEOMETRY 2 1. Find the area of the shaded sector. Q O 8 P A. 2 π B. 4 π C. 8 π D. 16 π 2. An octagon has sides. A. five B. six C.
Constructing 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
Chapter Review. In the figure shown, m n and r is a transversal. If m 4 = 112, find the measure of each angle. Explain your reasoning.
In the figure shown, m n and r is a transversal. If m 4 = 112, find the measure of each angle. Explain your reasoning. 1. 6 Since 4 and 6 are alternate interior angles, they are congruent. So, m 6 = 112.
Warm-Up 3/30/ What is the measure of angle ABC.
enchmark #3 Review Warm-Up 3/30/15 1. 2. What is the measure of angle. Warm-Up 3/31/15 1. 2. Five exterior angles of a convex hexagon have measure 74, 84, 42, 13, 26. What is the measure of the 6 th exterior
Lesson 4.3 Ways of Proving that Quadrilaterals are Parallelograms
Lesson 4.3 Ways of Proving that Quadrilaterals are Parallelograms Getting Ready: How will you know whether or not a figure is a parallelogram? By definition, a quadrilateral is a parallelogram if it has
MCPS Geometry Pacing Guide Jennifer Mcghee
Units to be covered 1 st Semester: Units to be covered 2 nd Semester: Tools of Geometry; Logic; Constructions; Parallel and Perpendicular Lines; Relationships within Triangles; Similarity of Triangles
Example 1. Find the angle measure of angle b, using opposite angles.
2..1 Exploring Parallel Lines Vertically opposite angles are equal When two lines intersect, the opposite angles are equal. Supplementary angles add to 180 Two (or more) adjacent angles on the same side
Review for Quadrilateral Test
Review for Quadrilateral Test 1. How many triangles are formed by drawing diagonals from one vertex in the figure? Find the sum of the measures of the angles in the figure. a. 6, 1080 b. 7, 1260 c. 7,