Lesson 6: Polygons and Angles


 Janice Atkins
 1 years ago
 Views:
Transcription
1 Lesson 6: Polygons and Angles Selected Content Standards Benchmark Assessed: G.4 Using inductive reasoning to predict, discover, and apply geometric properties and relationships (e.g., patty paper constructions, sum of the angles in a polygon) Lesson Focus In this lesson, students will discover relationships between polygons and angles. It includes the following aspects: Determine the sum of the measures of the interior angles of a triangle Recognize the relationship between interior and exterior angles Relate every convex polygon to the triangle Develop a formula to determine the sum of the interior angles of a polygon GEE 21 Connection The skills that will be addressed in this lesson include the following: Understand the relationship between triangles and all polygons Demonstrate the ability to use the interior angle theorem to determine angle measure Identify interior and exterior angles of a polygon Translating content Standards into Instruction Whether done inductively or deductively, it is important that all students understand how to find the measure of an interior angle in any polygon. This lesson is intended to help students understand the foundation of the interior and exterior angle theorem. A. The first thing students should understand is why there are 180º in a triangle. 1. Have each student draw a triangle. Do not be specific; the more types, the better. Label the angles inside the triangle with numbers. 2. On a separate sheet of paper have them draw a segment with a point near the center. They can measure the segment with a protractor to determine its measure to be 180º. 3. Have students tear off all three angles of the triangle and rearrange them with each vertex on the point on the line segment. 4. Discuss with the students to determine that everyone made the same discovery. B. Next we will relate the triangle to every convex polygon. 36
2 1. Have students draw convex polygons with 4, 5, 6, 7, 8, 9, and 10 sides. You can provide this to save a little time, but it is better to have all different sizes and shapes. 2. Have each student choose one vertex to highlight in each polygon. 3. Have students use a straight edge to connect the chosen vertex to every other vertex in the polygon. This is a good time to define diagonals. 4. Help students see that each polygon is now full of triangles. C. Begin developing a formula. 1. Students need to make a chart of the results. Name of Figure #Sides # Triangles Interior Angle Sum Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon Decagon Students will see the pattern emerging from the chart. Be sure to ask them why there are 2 less triangles than sides. 3. Develop the formula (n2)180 from the discovery lesson. 4. Now, using the interior angle theorem, challenge students to find the unknown angle measures in Student Worksheet 1. D. Students should use their original diagrams to discover the exterior angle theorem. 1. Using a color different from the one use in the original diagram, have students extend one side of each angle. 2. Now have students use the supplement theorem to determine the measure of each exterior angle. 3. Extend the chart previously used to include sum of exterior angles. Name of Figure #Sides # Triangles Interior Angle Sum Exterior Angle Sum Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon Decagon
3 Sources of Evidence about Student Learning A. Have students work through the discovery lesson. B. Have students complete the student worksheet. C. Have students use a protractor to measure angles to verify their results using the angle sum theorems. GEE 21 Connection On the GEE 21 test, students may be required to A. Determine interior or exterior angle measure given partial information B. Identify formulas related to interior and exterior sums Attributes of Student Work at the GotIt level A. Students can successfully complete the student worksheet. B. Students can explain why (n2) 180 = sum of interior angles. C. Students can identify the measure of interior and exterior angles in polygons. 38
4 Lesson 6: Relationships of Polygons and Angles Student Worksheet 39
5 40
A convex polygon is a polygon such that no line containing a side of the polygon will contain a point in the interior of the polygon.
hapter 7 Polygons A polygon can be described by two conditions: 1. No two segments with a common endpoint are collinear. 2. Each segment intersects exactly two other segments, but only on the endpoints.
More information1 of 69 Boardworks Ltd 2004
1 of 69 2 of 69 Intersecting lines 3 of 69 Vertically opposite angles When two lines intersect, two pairs of vertically opposite angles are formed. a d b c a = c and b = d Vertically opposite angles are
More information7.3 & 7.4 Polygon Formulas completed.notebook January 10, 2014
Chapter 7 Polygons Polygon 1. Closed Figure # of Sides Polygon Name 3 Triangle 4 Quadrilateral 5 Pentagon 6 Hexagon 2. Straight sides/edges 7 Heptagon 8 Octagon 9 Nonagon 10 Decagon 12 Dodecagon 15 Pentadecagon
More informationPolygons are figures created from segments that do not intersect at any points other than their endpoints.
Unit #5 Lesson #1: Polygons and Their Angles. Polygons are figures created from segments that do not intersect at any points other than their endpoints. A polygon is convex if all of the interior angles
More informationPolygon Properties and Tiling
! Polygon Properties and Tiling You learned about angles and angle measure in Investigations and 2. What you learned can help you figure out some useful properties of the angles of a polygon. Let s start
More informationA of a polygon is a segment that joins two nonconsecutive vertices. 1. How many degrees are in a triangle?
8.1 Find Angle Measures in Polygons SWBAT: find interior and exterior angle measures in polygons. Common Core: G.CO.11, G.CO.13, G.SRT.5 Do Now Fill in the blank. A of a polygon is a segment that joins
More informationTopic : Exterior Angles  Worksheet How many degrees are there in the sum of the exterior angles of a regular hexagon?
Topic : Exterior Angles  Worksheet 1 regular hexagon? polygon having 20 3. If each polygon contains 40 O how many each polygon having 16 angle of a regular polygon having 8 a 5 sided polygon? polygon
More information61 Properties and Attributes of Polygons
61 Properties and Attributes of Polygons Warm Up Lesson Presentation Lesson Quiz Geometry Warm Up 1. A? is a threesided polygon. triangle 2. A? is a foursided polygon. quadrilateral Evaluate each expression
More information22.1 Interior and Exterior Angles
Name Class Date 22.1 Interior and Exterior ngles Essential Question: What can you say about the interior and exterior angles of a triangle and other polygons? Resource Locker Explore 1 Exploring Interior
More informationPOLYGONS
POLYGONS 8.1.1 8.1.5 After studying triangles and quadrilaterals, students now extend their study to all polygons. A polygon is a closed, twodimensional figure made of three or more nonintersecting straight
More informationUnit 8. Ch. 8. "More than three Sides"
Unit 8. Ch. 8. "More than three Sides" 1. Use a straightedge to draw CONVEX polygons with 4, 5, 6 and 7 sides. 2. In each draw all of the diagonals from ONLY ONE VERTEX. A diagonal is a segment that joins
More informationGeometry. Unit 6. Quadrilaterals. Unit 6
Geometry Quadrilaterals Properties of Polygons Formed by three or more consecutive segments. The segments form the sides of the polygon. Each side intersects two other sides at its endpoints. The intersections
More informationExterior Angles of Polygons
easures, hape & pace EXEMPLAR 14: Exterior Angles of Polygons Objective: To explore the angle sum of the exterior angles of polygons Key Stage: 3 Learning Unit: Angle related with Lines and Rectilinear
More informationThe angle sum property of triangles can help determine the sum of the measures of interior angles of other polygons.
Interior Angles of Polygons The angle sum property of triangles can help determine the sum of the measures of interior angles of other polygons. The sum of the measures of the interior angles of a triangle
More informationThe Elementary School Math Project. Mirror, Mirror
The Elementary School Math Project Mirror, Mirror Math Grows Up (Geometry/Spatial Sense) Objective Students will use spatial reasoning and problem solving strategies to determine which regular polygons
More informationThe Polygon AngleSum Theorems
61 The Polygon AngleSum Theorems Common Core State Standards GSRT.B.5 Use congruence... criteria to solve problems and prove relationships in geometric figures. MP 1, MP 3 Objectives To find the sum
More informationTEKS: G2B, G3B, G4A, G5A, G5B, G9B The student will determine the validity of conjectures. The student will construct and justify statements.
TEKS: G2B, G3B, G4A, G5A, G5B, G9B The student will determine the validity of conjectures. The student will construct and justify statements. The student will select an appropriate representation to solve
More informationLESSON PLAN #1: Discover a Relationship
LESSON PLAN #1: Discover a Relationship Name Alessandro Sarra Date 4/14/03 Content Area Math A Unit Topic Coordinate Geometry Today s Lesson Sum of the Interior Angles of a Polygon Grade Level 9 NYS Mathematics,
More informationTons of Free Math Worksheets at:
Topic: Sum of Interior Angles Worksheet 1 a pentagon? nine 3. If the polygon equals 1080, then determine the 1620º? interior angles equals 6840s? n eighteen a Octagon? seventeen polygon equals 1980, how
More informationUNIT H1 Angles and Symmetry Activities
UNIT H1 Angles and Symmetry Activities Activities H1.1 Lines of Symmetry H1.2 Rotational and Line Symmetry H1.3 Symmetry of Regular Polygons H1.4 Interior Angles in Polygons Notes and Solutions (1 page)
More informationNovember 11, Polygons. poly means "many" gon means "angles" polygon means "many angles"
3.5 Polygons poly means "many" gon means "angles" polygon means "many angles" note that each polygon is formed by coplanar segments (called sides) such that: each segment intersects exactly 2 other segments,
More information11.3 Curves, Polygons and Symmetry
11.3 Curves, Polygons and Symmetry Polygons Simple Definition A shape is simple if it doesn t cross itself, except maybe at the endpoints. Closed Definition A shape is closed if the endpoints meet. Polygon
More information15 Polygons. 15.1 Angle Facts. Example 1. Solution. Example 2. Solution
15 Polygons MEP Y8 Practice Book B 15.1 Angle Facts In this section we revise some asic work with angles, and egin y using the three rules listed elow: The angles at a point add up to 360, e.g. a c a +
More informationUnit 3: Triangle Bisectors and Quadrilaterals
Unit 3: Triangle Bisectors and Quadrilaterals Unit Objectives Identify triangle bisectors Compare measurements of a triangle Utilize the triangle inequality theorem Classify Polygons Apply the properties
More information61 Angles of Polygons
Find the sum of the measures of the interior angles of each convex polygon. 1. decagon A decagon has ten sides. Use the Polygon Interior Angles Sum Theorem to find the sum of its interior angle measures.
More informationCLASSIFIED NOMENCLATURE: THE FORMATION OF REGIONS  SIMPLE CLOSED CURVE FIGURES AND POLYGONS
CLASSIFIED NOMENCLATURE: THE FORMATION OF REGIONS  SIMPLE CLOSED CURVE FIGURES AND POLYGONS Material: Geometry Stick Box and Board A piece of string Paper and scissors Paper labels and pencil Presentation:
More informationTarget To know the properties of a rectangle
Target To know the properties of a rectangle (1) A rectangle is a 3D shape. (2) A rectangle is the same as an oblong. (3) A rectangle is a quadrilateral. (4) Rectangles have four equal sides. (5) Rectangles
More informationWhich shapes make floor tilings?
Which shapes make floor tilings? Suppose you are trying to tile your bathroom floor. You are allowed to pick only one shape and size of tile. The tile has to be a regular polygon (meaning all the same
More informationActivity Set 4. Trainer Guide
Geometry and Measurement of Plane Figures Activity Set 4 Trainer Guide Int_PGe_04_TG GEOMETRY AND MEASUREMENT OF PLANE FIGURES Activity Set #4 NGSSS 3.G.3.1 NGSSS 3.G.3.3 NGSSS 4.G.5.1 NGSSS 5.G.3.1 Amazing
More informationSum of the interior angles of a (n  2)180 polygon ~, Sum of the exterior angles of a 360 polygon
Name Geometry Polygons Sum of the interior angles of a (n  2)180 polygon ~, Sum of the exterior angles of a 360 polygon Each interior angle of a regular (n  2)180 i polygon n Each exterior angle of a
More informationA regular polygon with three sides is an equilateral triangle. A regular polygon with four sides is a square.
What is a tiling? A tiling refers to any pattern that covers a flat surface, like a painting on a canvas, using nonoverlapping repetitions. Another word for a tiling is a tessellation. There are several
More informationRules of angles (7 9)
Rules of angles (7 9) Contents asic rules of angles Angles in parallel lines (7 9) 3 Angles in polygons (year 9) 4 3. The central angle in a regular polygon...................... 4 3. The exterior angle
More informationEXPLORING GEOMETRIC FIGURES Grade 10 6Day Lesson Plan
1 EXPLORING GEOMETRIC FIGURES Grade 10 6Day Lesson Plan Tangrams Geoboards Equation Grapher Green Globs AlphaShapes Protractor Compass Created by Sandra Metzler 2 OVERALL OBJECTIVES 1 Students will increase
More informationPage How many sides does an octagon have? a) 4 b) 5 c) 6 d) 8 e) A regular hexagon has lines of symmetry. a) 2 b) 3 c) 4 d) 5 e) 6 1 9
Acc. Geometery Name Polygon Review Per/Sec. Date Determine whether each of the following statements is always, sometimes, or never true. 1. A regular polygon is convex. 2. Two sides of a polygon are noncollinear.
More informationAnalysis in Geometry. By Danielle Long. Grade Level: 8 th. Time: 550 minute periods. Technology used: Geometer s sketchpad Geoboards NLVM website
Analysis in Geometry By Danielle Long Grade Level: 8 th Time: 550 minute periods Technology used: Geometer s sketchpad Geoboards NLVM website 1 NCTM Standards Addressed Problem Solving Geometry Algebra
More informationFind the sum of the measures of the interior angles of a polygon. Find the sum of the measures of the exterior angles of a polygon.
ngles of Polygons Find the sum of the measures of the interior angles of a polygon. Find the sum of the measures of the exterior angles of a polygon. Vocabulary diagonal does a scallop shell illustrate
More information115 Polygons ANSWER: ANSWER: ANSWER:
Determine whether the figure is a polygon. If it is, classify the polygon. If it is not a polygon, explain why. 1. 5. KALEIDOSCOPE The kaleidoscope image shown is a regular polygon with 14 sides. What
More informationExploring Geometric Figures Using Cabri Geometry II
Exploring Geometric Figures Using Cabri Geometry II Regular Polygons Developed by: Charles Bannister. Chambly County High School Linda Carre.. Chambly County High School Manon Charlebois Vaudreuil Catholic
More informationWednesday, February 22 / Thursday, February 23. Student Objective (Obj. 3b) TSW identify three dimensional figures from nets.
Course: 7 th Grade Math DETAIL LESSON PLAN Wednesday, February 22 / Thursday, February 23 Student Objective (Obj. 3b) TSW identify three dimensional figures from nets. Lesson 89 ThreeDimensional Figures
More informationINDEX. Arc Addition Postulate,
# 3060 right triangle, 441442, 684 A Absolute value, 59 Acute angle, 77, 669 Acute triangle, 178 Addition Property of Equality, 86 Addition Property of Inequality, 258 Adjacent angle, 109, 669 Adjacent
More informationUnit 8. Quadrilaterals. Academic Geometry Spring Name Teacher Period
Unit 8 Quadrilaterals Academic Geometry Spring 2014 Name Teacher Period 1 2 3 Unit 8 at a glance Quadrilaterals This unit focuses on revisiting prior knowledge of polygons and extends to formulate, test,
More informationSHOW YOUR WORK CHECK YOUR WORK VALIDATE YOUR WORK! Unit 6: POLYGONS. Are these polygons? Justify your answer by explaining WHY or WHY NOT???
Unit 6: POLYGONS Are these polygons? Justify your answer by explaining WHY or WHY NOT??? a) b) c) Yes or No Why/Why not? Yes or No Why/Why not? Yes or No Why/Why not? a) What is a CONCAVE polygon? Use
More informationLEVEL G, SKILL 1. Answers Be sure to show all work.. Leave answers in terms of ϖ where applicable.
Name LEVEL G, SKILL 1 Class Be sure to show all work.. Leave answers in terms of ϖ where applicable. 1. What is the area of a triangle with a base of 4 cm and a height of 6 cm? 2. What is the sum of the
More informationEstimating Angle Measures
1 Estimating Angle Measures Compare and estimate angle measures. You will need a protractor. 1. Estimate the size of each angle. a) c) You can estimate the size of an angle by comparing it to an angle
More informationGeometry Progress Ladder
Geometry Progress Ladder Maths Makes Sense Foundation Endofyear objectives page 2 Maths Makes Sense 1 2 Endofblock objectives page 3 Maths Makes Sense 3 4 Endofblock objectives page 4 Maths Makes
More informationSum of the interior angles of a nsided Polygon = (n2) 180
5.1 Interior angles of a polygon Sides 3 4 5 6 n Number of Triangles 1 Sum of interiorangles 180 Sum of the interior angles of a nsided Polygon = (n2) 180 What you need to know: How to use the formula
More informationTessellations. A tessellation is created when a shape is repeated over and over again to cover the plane without any overlaps or gaps.
Tessellations Katherine Sheu A tessellation is created when a shape is repeated over and over again to cover the plane without any overlaps or gaps. 1. The picture below can be extended to a tessellation
More information*1. Derive formulas for the area of right triangles and parallelograms by comparing with the area of rectangles.
Students: 1. Students understand and compute volumes and areas of simple objects. *1. Derive formulas for the area of right triangles and parallelograms by comparing with the area of rectangles. Review
More informationP o l y g o n s & A n g l e s POLYGONS & ANGLES.
P o l y g o n s & A n g l e s POLYGONS & ANGLES www.mathletics.com.au Polygons POLYGONS & Angles & ANGLES A shape which has straight sides only (no curved sides) is called a Polygon. The angles inside
More information19. [Shapes] less than. The angle appears greater than 90. Check by placing the corner of a Maths Mate page inside the angle.
19. [Shapes] Skill 19.1 Comparing angles to a right angle. Place the corner of a page (which is a right angle) at the corner (vertex) of the angle. Align the base of the page with one line of the angle.
More informationChapter 3. Chapter 3 Opener. Section 3.1. Big Ideas Math Blue WorkedOut Solutions. Try It Yourself (p. 101) So, the value of x is 112.
Chapter 3 Opener Try It Yourself (p. 101) 1. The angles are vertical. x + 8 120 x 112 o, the value of x is 112. 2. The angles are adjacent. ( x ) + 3 + 43 90 x + 46 90 x 44 o, the value of x is 44. 3.
More informationRunning head: A GEOMETRIC INTRODUCTION 1
Running head: A GEOMETRIC INTRODUCTION A Geometric Introduction to Mathematical Induction Problems using the Sums of Consecutive Natural Numbers, the Sums of Squares, and the Sums of Cubes of Natural Numbers
More informationShapes & Designs Notes
Problem 1.1 Definitions: regular polygons  polygons in which all the side lengths and angles have the same measure edge  also referred to as the side of a figure tiling  covering a flat surface with
More informationIntermediate Math Circles October 10, 2012 Geometry I: Angles
Intermediate Math Circles October 10, 2012 Geometry I: Angles Over the next four weeks, we will look at several geometry topics. Some of the topics may be familiar to you while others, for most of you,
More informationAngles that are between parallel lines, but on opposite sides of a transversal.
GLOSSARY Appendix A Appendix A: Glossary Acute Angle An angle that measures less than 90. Acute Triangle Alternate Angles A triangle that has three acute angles. Angles that are between parallel lines,
More informationYear 10 Term 1 Homework
Yimin Math Centre Year 10 Term 1 Homework Student Name: Grade: Date: Score: Table of contents 10 Year 10 Term 1 Week 10 Homework 1 10.1 Deductive geometry.................................... 1 10.1.1 Basic
More informationThird Grade Shapes Up! Grade Level: Third Grade Written by: Jill Pisman, St. Mary s School East Moline, Illinois Length of Unit: Eight Lessons
Third Grade Shapes Up! Grade Level: Third Grade Written by: Jill Pisman, St. Mary s School East Moline, Illinois Length of Unit: Eight Lessons I. ABSTRACT This unit contains lessons that focus on geometric
More informationInvestigating Relationships of Area and Perimeter in Similar Polygons
Investigating Relationships of Area and Perimeter in Similar Polygons Lesson Summary: This lesson investigates the relationships between the area and perimeter of similar polygons using geometry software.
More informationMensuration Introduction
Mensuration Introduction Mensuration is the process of measuring and calculating with measurements. Mensuration deals with the determination of length, area, or volume Measurement Types The basic measurement
More informationChapter Three. Parallel Lines and Planes
Chapter Three Parallel Lines and Planes Objectives A. Use the terms defined in the chapter correctly. B. Properly use and interpret the symbols for the terms and concepts in this chapter. C. Appropriately
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 informationUnknown Angle Problems with Inscribed Angles in Circles
: Unknown Angle Problems with Inscribed Angles in Circles Student Outcomes Use the inscribed angle theorem to find the measures of unknown angles. Prove relationships between inscribed angles and central
More informationMaths Toolkit Teacher s notes
Angles turtle Year 7 Identify parallel and perpendicular lines; know the sum of angles at a point, on a straight line and in a triangle; recognise vertically opposite angles. Use a ruler and protractor
More information10.1: Areas of Parallelograms and Triangles
10.1: Areas of Parallelograms and Triangles Important Vocabulary: By the end of this lesson, you should be able to define these terms: Base of a Parallelogram, Altitude of a Parallelogram, Height of a
More informationQuadrilaterals GETTING READY FOR INSTRUCTION
Quadrilaterals / Mathematics Unit: 11 Lesson: 01 Duration: 7 days Lesson Synopsis: In this lesson students explore properties of quadrilaterals in a variety of ways including concrete modeling, patty paper
More informationName: 22K 14A 12T /48 MPM1D Unit 7 Review True/False (4K) Indicate whether the statement is true or false. Show your work
Name: _ 22K 14A 12T /48 MPM1D Unit 7 Review True/False (4K) Indicate whether the statement is true or false. Show your work 1. An equilateral triangle always has three 60 interior angles. 2. A line segment
More informationOverview of Geometry Map Project
Overview of Geometry Map Project The goal: To demonstrate your understanding of geometric vocabulary, you will be designing and drawing a town map that incorporates many geometric key terms. The project
More informationMATH 139 FINAL EXAM REVIEW PROBLEMS
MTH 139 FINL EXM REVIEW PROLEMS ring a protractor, compass and ruler. Note: This is NOT a practice exam. It is a collection of problems to help you review some of the material for the exam and to practice
More informationPark Forest Math Team. Meet #3. Geometry. Selfstudy Packet
Park Forest Math Team Meet #3 Selfstudy Packet Problem Categories for this Meet: 1. Mystery: Problem solving 2. : ngle measures in plane figures including supplements and complements 3. Number Theory:
More informationCK12 Geometry: Exploring Solids
CK12 Geometry: Exploring Solids Learning Objectives Identify different types of solids and their parts. Use Euler s formula to solve problems. Draw and identify different views of solids. Draw and identify
More informationGeometry 81 Angles of Polygons
. Sum of Measures of Interior ngles Geometry 81 ngles of Polygons 1. Interior angles  The sum of the measures of the angles of each polygon can be found by adding the measures of the angles of a triangle.
More information56 questions (multiple choice, check all that apply, and fill in the blank) The exam is worth 224 points.
6.1.1 Review: Semester Review Study Sheet Geometry Core Sem 2 (S2495808) Semester Exam Preparation Look back at the unit quizzes and diagnostics. Use the unit quizzes and diagnostics to determine which
More informationInscribed Angle Theorem and Its Applications
: Student Outcomes Prove the inscribed angle theorem: The measure of a central angle is twice the measure of any inscribed angle that intercepts the same arc as the central angle. Recognize and use different
More informationUnit 8 Geometry QUADRILATERALS. NAME Period
Unit 8 Geometry QUADRILATERALS NAME Period 1 A little background Polygon is the generic term for a closed figure with any number of sides. Depending on the number, the first part of the word Poly is replaced
More informationWhat s Your Angle? (Measurement)
The Middle School Math Project What s Your Angle? (Measurement) Objective Using inductive reasoning, students will devise procedures for using a protractor to measure the number of degrees in an angle.
More informationCircle Theorems. Angles at the circumference are equal. The angle in a semicircle is x The angle at the centre. Cyclic Quadrilateral
The angle in a semicircle is 90 0 Angles at the circumference are equal. A B They must come from the same arc. Look out for a diameter. 2x Cyclic Quadrilateral Opposite angles add up to 180 0 A They must
More informationThe Elementary School Math Project. Struts n Stuff
The Elementary School Math Project Struts n Stuff Math Grows Up (Patterns/Relationships) Objective Students will identify the relationship between the number of sides in a regular polygon and the number
More informationparallel lines perpendicular lines intersecting lines vertices lines that stay same distance from each other forever and never intersect
parallel lines lines that stay same distance from each other forever and never intersect perpendicular lines lines that cross at a point and form 90 angles intersecting lines vertices lines that cross
More informationGeometry of Minerals
Geometry of Minerals Objectives Students will connect geometry and science Students will study 2 and 3 dimensional shapes Students will recognize numerical relationships and write algebraic expressions
More informationLesson 2: Pythagorean Theorem
Lesson 2: Pythagorean Theorem Selected Content Standards Benchmarks Addressed: G5M Making and testing conjectures about geometric shapes and their properties G7M Demonstrating the connection of geometry
More informationCHAPTER 6. Polygons, Quadrilaterals, and Special Parallelograms
CHAPTER 6 Polygons, Quadrilaterals, and Special Parallelograms Table of Contents DAY 1: (Ch. 61) SWBAT: Find measures of interior and exterior angles of polygons Pgs: 17 HW: Pgs: 810 DAY 2: (62) Pgs:
More informationUnit 6 Grade 7 Geometry
Unit 6 Grade 7 Geometry Lesson Outline BIG PICTURE Students will: investigate geometric properties of triangles, quadrilaterals, and prisms; develop an understanding of similarity and congruence. Day Lesson
More informationGEOMETRY CIRCLING THE BASES
LESSON 3: PREVISIT  PERIMETER AND AREA OBJECTIVE: Students will be able to: Distinguish between area and perimeter. Calculate the perimeter of a polygon whose side lengths are given or can be determined.
More informationMath 6: Unit 7: Geometry Notes 2Dimensional Figures
Math 6: Unit 7: Geometry Notes Dimensional Figures Prep for 6.G.A.1 Classifying Polygons A polygon is defined as a closed geometric figure formed by connecting line segments endpoint to endpoint. Polygons
More informationA segment that joins two nonconsecutive vertices of a polygon is called a diagonal. Polygon PQRST has two diagonals from vertex R, RP &* and RT&*.
age of 6 6. olygons Goal Identify and classify polygons. Find angle measures of quadrilaterals. Each traffic sign below is an example of a polygon. Notice that each sign is formed with straight lines.
More informationQuadrilaterals Unit Review
Name: Class: Date: Quadrilaterals Unit Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. ( points) In which polygon does the sum of the measures of
More informationSome Polygonal Sum Labeling of Paths
Volume 6 No.5, January 03 Some Polygonal Sum Labeling of Paths S.Murugesan Associate Professor CBM college Coimbatore60 D.Jayaraman Associate Professor CBM College Coimbatore 60 J.Shiama Assistant Professor
More informationAcquisition Lesson Planning Form Key Standards addressed in this Lesson: MM2A3d,e Time allotted for this Lesson: 4 Hours
Acquisition Lesson Planning Form Key Standards addressed in this Lesson: MM2A3d,e Time allotted for this Lesson: 4 Hours Essential Question: LESSON 4 FINITE ARITHMETIC SERIES AND RELATIONSHIP TO QUADRATIC
More informationGrade 6 Angle size. Required closetoathand prior knowledge: Knowing what angles look like. Understanding what a rotation is.
Grade 6 Angle size 6.SS.1 Demonstrate an understanding of angles by identifying examples of angles in the environment classifying angles according to their measure estimating the measure of angles using
More information22 Proof Proof questions. This chapter will show you how to:
22 Ch22 537544.qxd 23/9/05 12:21 Page 537 4 4 3 9 22 537 2 2 a 2 b This chapter will show you how to: tell the difference between 'verify' and 'proof' prove results using simple, stepbystep chains of
More informationInscribed (Cyclic) Quadrilaterals and Parallelograms
Lesson Summary: This lesson introduces students to the properties and relationships of inscribed quadrilaterals and parallelograms. Inscribed quadrilaterals are also called cyclic quadrilaterals. These
More informationSpoonsAlgebra Style
SpoonsAlgebra Style The Object Be the first player to hold a set of four cards with the same solution. What You'll Need A set of four matching solution cards per player. If playing with less than 13 players
More informationHonors Packet on. Polygons, Quadrilaterals, and Special Parallelograms
Honors Packet on Polygons, Quadrilaterals, and Special Parallelograms Table of Contents DAY 1: (Ch. 61) SWBAT: Find measures of interior and exterior angles of polygons Pgs: #1 6 in packet HW: Pages 386
More informationUNCORRECTED PROOF. Unit objectives. Website links Opener Online angle puzzles 2.5 Geometry resources, including interactive explanations
21.1 Sequences Get in line Unit objectives Understand a proof that the angle sum of a triangle is 180 and of a quadrilateral is 360 ; and the exterior angle of a triangle is equal to the sum of the two
More informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Tuesday, January 26, 2016 1:15 to 4:15 p.m., only.
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Tuesday, January 26, 2016 1:15 to 4:15 p.m., only Student Name: School Name: The possession or use of any communications
More informationBegin recognition in EYFS Age related expectation at Y1 (secure use of language)
For more information  http://www.mathsisfun.com/geometry Begin recognition in EYFS Age related expectation at Y1 (secure use of language) shape, flat, curved, straight, round, hollow, solid, vertexvertices
More informationGeometry Vocabulary Booklet
Geometry Vocabulary Booklet Geometry Vocabulary Word Everyday Expression Example Acute An angle less than 90 degrees. Adjacent Lying next to each other. Array Numbers, letter or shapes arranged in a rectangular
More information1.1 Identify Points, Lines, and Planes
1.1 Identify Points, Lines, and Planes Objective: Name and sketch geometric figures. Key Vocabulary Undefined terms  These words do not have formal definitions, but there is agreement aboutwhat they mean.
More informationUnit Background. Stage 1: Big Goals
Course: 7 th Grade Mathematics Unit Background Unit Title Angle Relationships, Transversals & 3Dimensional Geometry Does the unit title reflect the standards? PCCMS Unit Reviewer (s): Unit Designer: Resources
More informationWeek 2 Polygon Triangulation
Week 2 Polygon Triangulation What is a polygon? Last week A polygonal chain is a connected series of line segments A closed polygonal chain is a polygonal chain, such that there is also a line segment
More information