Perry High School. Geometry: Week 3

Similar documents
Constructions. Unit 9 Lesson 7

Objective: Use a compass and straight edge to construct congruent segments and angles.

Objective: Use a compass and straight edge to construct congruent segments and angles.

Circles Assignment Answer the following questions.

CONSTRUCTION #1: Segment Copy

Step 2: Extend the compass from the chosen endpoint so that the width of the compass is more than half the distance between the two points.

Geometry SOL G.4 Constructions Name Date Block. Constructions

Name. Ms. Nong. Due on: Per: Geometry 2 nd semester Math packet # 2 Standards: 8.0 and 16.0

You MUST know the big 3 formulas!

(Geometry) Academic Standard: TLW use appropriate tools to perform basic geometric constructions.

UNIT 1 SIMILARITY, CONGRUENCE, AND PROOFS Lesson 2: Constructing Lines, Segments, and Angles Instruction

Sec Geometry - Constructions

Geometry by Jurgensen, Brown and Jurgensen Postulates and Theorems from Chapter 1

Geometry Unit 3 Note Sheets Date Name of Lesson. Slopes of Lines. Partitioning a Segment. Equations of Lines. Quiz

Lesson 9.1 Assignment

Geometry Vocabulary Book

The Magic Circle Basic Lesson. Developed by The Alexandria Seaport Foundation

Worksheet 10 Memorandum: Construction of Geometric Figures. Grade 9 Mathematics

UNIT 1 SIMILARITY, CONGRUENCE, AND PROOFS Lesson 3: Constructing Polygons Instruction

Slopes of Lines Notes What is slope?

Geometry - Midterm Exam Review - Chapters 1, 2

1. Construct the perpendicular bisector of a line segment. Or, construct the midpoint of a line segment. 1. Begin with line segment XY.

Chapter 11: Constructions and Loci

Indicate whether the statement is true or false.

Challenges from Ancient Greece

Regents Exam Questions by Topic Page 1 TOOLS OF GEOMETRY: Constructions NAME:

The 7* Basic Constructions Guided Notes

Geometry Ch 3 Vertical Angles, Linear Pairs, Perpendicular/Parallel Lines 29 Nov 2017

Assignment. Visiting Washington, D.C. Transversals and Parallel Lines

7th Grade Drawing Geometric Figures

Constructing Perpendicular and Parallel Lines. Adapted from Walch Education

Constructing Angle Bisectors and Parallel Lines

Foundations for Geometry Review Sheet

2. Use the Mira to determine whether these following symbols were properly reflected using a Mira. If they were, draw the reflection line using the

Standards of Learning Guided Practice Suggestions. For use with the Mathematics Tools Practice in TestNav TM 8

Find the coordinates of the midpoint of a segment having the given endpoints.

The Basics: Geometric Structure

Name: Date: Chapter 2 Quiz Geometry. Multiple Choice Identify the choice that best completes the statement or answers the question.

9.3 Properties of Chords

Using Geometry. 9.1 Earth Measure. 9.2 Angles and More Angles. 9.3 Special Angles. Introduction to Geometry and Geometric Constructions...

UNIT 1 GEOMETRY. (revision from 1 st ESO) Unit 8 in our books

Parallel and Perpendicular Lines on the Coordinate Plane

16. DOK 1, I will succeed." In this conditional statement, the underlined portion is

Pre-Test. Name Date. 1. Can skew lines be coplanar? Explain.

3. Given the similarity transformation shown below; identify the composition:

3 In the diagram below, the vertices of DEF are the midpoints of the sides of equilateral triangle ABC, and the perimeter of ABC is 36 cm.

(1) Page 482 #1 20. (2) Page 488 #1 14. (3) Page # (4) Page 495 #1 10. (5) Page #12 30,

Do Now: Do Now Slip. Do Now. Lesson 20. Drawing Conclusions. Quiz Tomorrow, Study Blue Sheet. Module 1 Lesson 20 Extra Practice.

1-2 Measuring and Constructing Segments. Holt Geometry

EXT#2 ws Vertex Form of a Quadratic is Due TODAY HW#13 p222 / 1-14, 20 is due Tuesday Oct 21

UNIT 3 CIRCLES AND VOLUME Lesson 3: Constructing Tangent Lines Instruction

June 2016 Regents GEOMETRY COMMON CORE

Geometer s Skethchpad 8th Grade Guide to Learning Geometry

JMG. Review Module 1 Lessons 1-20 for Mid-Module. Prepare for Endof-Unit Assessment. Assessment. Module 1. End-of-Unit Assessment.

Copying a Line Segment

0810ge. Geometry Regents Exam y # (x $ 3) 2 % 4 y # 2x $ 5 1) (0,%4) 2) (%4,0) 3) (%4,%3) and (0,5) 4) (%3,%4) and (5,0)

S. Stirling Page 1 of 14

Unit 6 Quadrilaterals

DIRECTIONS FOR GEOMETRY CONSTRUCTION PROJECT

6.1 Warm Up The diagram includes a pair of congruent triangles. Use the congruent triangles to find the value of x in the diagram.

Constructing Perpendiculars to a Line. Finding the Right Line. Draw a line and a point labeled P not on the line, as shown above.

Unit 7 Scale Drawings and Dilations

The diagram shows the construction of PS through point F that is parallel to RQ. Can the statement justify that. Unit 4, 29.2

ONE. angles which I already know

Perry High School. Algebra 2: Week 9. Note: Don t forget to read the sections before or after we cover them. Also, don t forget the website.

b. Describe how a horizontal translation changes the coordinates of the endpoints.

Properties of Chords

Geometer s Skethchpad 7th Grade Guide to Learning Geometry

Angle Measure and Plane Figures

Chapter 2 Using Drawing Tools & Applied Geometry

Second Semester Session Shri Ramdeobaba College of Engineering & Management, Nagpur. Department of Mechanical Engineering

Geometric Constructions

Unit 1 Foundations of Geometry: Vocabulary, Reasoning and Tools

Student Name: Teacher: Date: District: Rowan. Assessment: 9_12 T and I IC61 - Drafting I Test 1. Form: 501

9.1 and 9.2 Introduction to Circles

16.1 Segment Length and Midpoints

Geometry Midterm Review Spring 2011 Name Date Period. 2. Name three points that are collinear Name a pair of opposite rays. 3.

DIRECTIONS FOR GEOMETRY HONORS CONSTRUCTION PROJECT

3 Kevin s work for deriving the equation of a circle is shown below.

GOAL Practise techniques for creating various types of geometric lines by constructing and reproducing figures. sheet of letter-sized white paper

California College Preparatory Academy

Topic 1 Chapter 3: Constructions Greek philosopher Plato Euclid(Elements)

Name Period Date. GEOMETRY AND MEASURESUREMENT Student Pages for Packet 6: Drawings and Constructions

E G 2 3. MATH 1012 Section 8.1 Basic Geometric Terms Bland

Tangents to Circles. The distance across the circle, through its center, is the diameter of the circle. The diameter is twice the radius.

39 th JUNIOR HIGH SCHOOL MATHEMATICS CONTEST APRIL 29, 2015

Unit 6 Guided Notes. Task: To discover the relationship between the length of the mid-segment and the length of the third side of the triangle.

Axiom A-1: To every angle there corresponds a unique, real number, 0 < < 180.

Math 21 Home. Book 8: Angles. Teacher Version Assessments and Answers Included

L7 Constructions 7.1 Construction Introduction Per Date

NCERT Solutions for Practical Geometry

Project Maths Geometry Notes

Elementary Geometric Drawings Angles. Angle Bisector. Perpendicular Bisector

Downloaded from

Topic: Right Triangles & Trigonometric Ratios Calculate the trigonometric ratios for , and triangles.

6.1 Justifying Constructions

Using inductive reasoning and conjectures Student Activity Sheet 2; use with Exploring The language of geometry

Mathematical Construction

Target 5.4: Use angle properties in triangles to determine unknown angle measurements 5.4: Parallel Lines and Triangles

Measuring and Constructing Angles Going Deeper

Transcription:

Geometry: Week 3 Monday: Labor Day! Tuesday: 1.5 Segments and Angle Bisectors Wednesday: 1.5 - Work Thursday: 1.6 Angle Pair Relationships Friday: 1.6-Work Next Week 1.7, Review, Exam 1 on FRIDAY 1

Tuesday: Mindfulness Training This week: Body and Sound Meditation 3 minutes http://marc.ucla.edu/mpeg/body-sound- Meditation.mp3 2

Debrief 1.4 Questions on Practice and Applications: 17-25, 26-48 Even Mixed Review: 62, 68, 70, 72, 74, 76, 78 3

1.5: Segments and Angle Bisectors Copy a segment Copy an angle Bisect a segment Bisect an angle Drafting, Architecture, Set Design, etc. 2 days Start: 15 Minutes Journal 1.5 Definitions, Postulates, Formulas, etc. Start Guided Practice 1-13 If finish, start odds 4

Constructions: Equipment Compass a device used to draw circles or arcs of circles. Straightedge a device that is used to draw straight line segments. Neither has marks for measuring. 5

To copy AB Copy a line segment 1 st draw PQ longer 2 nd use compass to find length of AB 3 rd use compass to copy this length to PQ YouTube: Copy a Line Segment 6

Copy an angle 1 st find reference points a and b 2 nd draw new ray oa 3 rd draw arc of length Oa 4 th find reverence mark from a to b 5 th copy this on new arc 6 th draw in side YouTube: Copy an Angle 7

1 st mark reference angles C, D 2 nd find distance from C to D 3 rd mark arc of length CD 4 th use this to find E YouTube: Bisect an Angle Bisecting Angles 8

Bisector of a segment To Bisect AB 1 st put compass point at A and mark C&D 2 nd put compass point at B and mark C&D 3 rd connect the dots YouTube: Bisect a Segment 9

Constructions When you practice these or play with them, try to figure out why it works. 10

Midpoint Formula Given endpoints A(X 1, Y 1) and B(X 2, Y 2 ), find the midpoint M M(x,y) = (average of x, average of y) E.g., Find the midpoint between (-1,-3) and (9,6) 11

Till Class is Over Today: Page 38 14-30 evens 32-42 evens 44-48 evens 52 58 a,b 61-72 all You will finish these and show me completed work tomorrow for credit. 12

Wednesday: Mindfulness Training This week: Body and Sound Meditation 3 minutes http://marc.ucla.edu/mpeg/body-sound- Meditation.mp3 13

1.5: Work Day: For Grade Today: Page 38 14-30 evens 32-42 evens 44-48 evens 52 58 a,b 61-72 all When Finished: Show to Dr. Bond for credit 14

Thursday Mindfulness Training This week: Body and Sound Meditation 3 minutes http://marc.ucla.edu/mpeg/body-sound- Meditation.mp3 15

Turn In Page 25, Quiz 1, evens Page 42, Quiz 2, evens Make sure your name and date are in upper right hand corner. Class and Hour as Title Thursday Journal 1.6 Definitions, Postulates, Formulas, etc. Start Guided Practice 1-7 If finish, start odds 16

1.6: Angle Pair Relationships Vertical Angles Linear Pairs Complementary / Supplementary Angles Note: Finishing up the chapter next week. Probably will have exam next Friday. 17

Vertical Angles Vertical Angles two angles that are opposite each other. Vertical angles are congruent. 18

180 and 90 Angle Pairs Complementary Angles two angles whose sum is 90º Supplementary Angles two angles whose sum is 180º 19

Till Class is Over Page 47+ Finish 8-36 Even 42-52 Even 57, 58 60-75 all You will finish these and show me completed work tomorrow for credit. 20

Friday: Mindfulness Training This week: Body and Sound Meditation 3 minutes http://marc.ucla.edu/mpeg/body-sound- Meditation.mp3 21

1.6: Work Day: For Grade Page 47+ Finish 8-36 Even 42-52 Even 57, 58 60-75 all When Finished: Show to Dr. Bond for credit AFTER 1.6 Construction Challenge 1. Square a. Angle Bisectors b. Segment Bisectors 2. Equilateral Triangle a. Angle Bisectors b. Segment Bisectors Exam Next Friday, Start Reviewing NOW 22