Unit 4, Activity 1, Vocabulary Self-Awareness
|
|
- Cornelia Owen
- 6 years ago
- Views:
Transcription
1 Unit 4, Activity 1, Vocabulary Self-Awareness Word/Phrase + Definition/Rule Example rigid (rigid motion) non-rigid (non-rigid motion) orientation isometry reflection line of reflection translation rotation center of rotation Blackline Masters, Geometry Page 4-1
2 Unit 4, Activity 1, Vocabulary Self-Awareness degree of rotation clockwise counterclockwise dilation center of dilation scale factor similarity composite glide reflection Procedure: 1. Examine the list of words/phrases in the first column. 2. Put a + next to each word/phrase you know well and for which you can write an accurate example and definition. Your definition and example must relate to this unit of study. 3. Place a next to any words/phrases for which you can write either a definition or an example, but not both. 4. Put a next to words/phrases that are new to you. This chart will be used throughout the unit. As your understanding of the concepts listed changes, you will revise the chart. By the end of the unit, you should have all plus signs. Because you will be revising this chart, write in pencil. Blackline Masters, Geometry Page 4-2
3 Unit 4, Activity 1, Vocabulary Self-Awareness with Answers Word/Phrase + Definition/Rule Example A correspondence between two sets of points such that each point in the has a unique and that each point in the has exactly one ; a change in size, orientation, or position of a figure in space. The original object that is to be transformed. rigid (rigid motion) non-rigid (non-rigid motion) orientation isometry reflection line of reflection The copy of the object that has been transformed. A that preserves measurements of segments and angles; also called an isometry (see below). A that does not preserve measures of segments and angles; the shape of the may not be preserved either. The location (position and angle) of an object in space in relation to a set of reference axes. A that preserves measurements and more specifically distances between points; a that preserves distances is also bound to preserve angle measures; a congruence. A in which each point in the has an that is the same distance from the line of reflection (see below). For a point on the line of reflection, the is itself; aka flip. The perpendicular bisector of the segment joining each point () and its. Blackline Masters, Geometry Page 4-3
4 Unit 4, Activity 1, Vocabulary Self-Awareness with Answers translation rotation center of rotation angle (degree) of rotation clockwise counterclockwise dilation center of dilation scale factor A which moves an object a fixed distance in a fixed direction; a composite of two reflections over parallel lines; aka slide. A that turns a figure about a fixed point called the center of rotation; a composite of two reflections over intersecting lines; aka turn. A fixed point about which a figure is rotated; the point where two intersecting lines of rotation meet?? Rays drawn from the center of rotation to a point on the pre and its form the angle of rotation (measured in degrees). Rotation of an object to the right indicated by a negative angle of rotation. Rotation of an object to the left indicated by a positive angle of rotation. A that produces an that is the same shape as the but is a different size; a stretch or shrink of the. A fixed point in the plane about which all points are expanded (stretched) or contracted (shrunk). The ratio by which an object is enlarged or reduced; if greater than 1 the is an enlargement; if between 0 and 1 the dilation is a reduction; if the scale factor equals 1, the figures are congruent. Blackline Masters, Geometry Page 4-4
5 Unit 4, Activity 1, Vocabulary Self-Awareness with Answers similarity composite glide reflection A that is the composite of dilations and/or reflections; a non-rigid ; the shape of the is preserved but the size is changed. The result of two or more successive s. A type of composite where a figure is reflected then translated. Procedure: 1. Examine the list of words/phrases in the first column. 2. Put a + next to each word/phrase you know well and for which you can write an accurate example and definition. Your definition and example must relate to this unit of study. 3. Place a next to any words/phrases for which you can write either a definition or an example, but not both. 4. Put a next to words/phrases that are new to you. This chart will be used throughout the unit. As your understanding of the concepts listed changes, you will revise the chart. By the end of the unit, you should have all plus signs. Because you will be revising this chart, write in pencil. Blackline Masters, Geometry Page 4-5
6 Unit 4, Activity 3, A Basic Look at Transformations Trace the following polygons on the patty paper or tracing paper given to you. Blackline Masters, Geometry Page 4-6
7 Unit 4, Activity 4, What Are Transformations? What Are Transformations? When learning about s, one might first look at the parts of the word. Transformation can be separated into the prefix trans- and the word formation. The prefix transmeans changing thoroughly and formation means the act of giving or taking form, shape, or existence. Taken together, a can be described as the act of changing a form or shape. Specifically, in geometry, a may change the position, orientation, or size of a figure in the plane. Look at the s below. The figure drawn with the solid lines is called the, or the original object that is being transformed. The figure drawn with dashed lines is called the, or the copy of the object that has been transformed. Figure 1 Figure 2 The most basic is a reflection. A reflection can be easily described as a flip, however, that is not the most accurate definition. A reflection is a in which each point in the has an that is the same distance from the line of reflection. The line of reflection is the perpendicular bisector of the segment joining each point on the pre with its corresponding point on the. Look at the example below. The is labeled A B C D (read A prime, B prime, C prime, D prime the use of the apostrophe on the letter is universally accepted to show that a figure is the of a ). D A P A D C B m B C Figure 3 Line m is the line of reflection in the figure and P is the point where line m intersects the segment joining A and A. Using a ruler, measure the distance from A to A. Now, measure the distance from A to P and the distance from P to A. You should notice that AP and PA are equal. Use a protractor to measure the angles formed at P. You should see that the angles all measure 90 Blackline Masters, Geometry Page 4-7
8 Unit 4, Activity 4, What Are Transformations? degrees. How do those measurements relate to the definition of the line of reflection given earlier? Another basic is a translation, or slide. When a translation is performed, the is moved a fixed distance in a fixed direction. The directions for performing a translation could state to move the 5 inches to the right in which each point on the is moved 5 inches to the right of the location to form the. Translations can also be thought of as the composition of two reflections over parallel lines. Look at the example below. m Figure 4 n Notice there are two reflections. Lines m and n are parallel. The resulting has the same orientation as the, but has been moved to the right by 10 cm. A question to think about: does the distance of the translation have any relationship to the distance between the parallel lines? A third is called a rotation. This may also be referred to as a turn. A rotation is a that turns a figure about a fixed point, called the center of rotation, through a fixed angle of rotation (measured in degrees). The path the figure follows during the rotation would form a circle around the center of rotation if the figure were rotated 360 degrees. A rotation can be performed with any degree measure and can be considered a clockwise rotation or a counterclockwise rotation. A clockwise rotation will turn a figure to the right around the center of rotation while a counterclockwise rotation will turn a figure to the left around the center of rotation. All positive degree measures are assumed to indicate a counterclockwise rotation, while all negative degree measures are assumed to indicate a clockwise rotation. X Figure 5 Blackline Masters, Geometry Page 4-8
9 Unit 4, Activity 4, What Are Transformations? In Figure 5 above, X is the center of rotation. The angle of rotation is formed by drawing a segment from one point on the to the center of rotation then drawing the required angle using the center of rotation (X) as the vertex. The angle used in this figure is 90 clockwise, or -90. Question to think about: What would happen to the if the center of rotation was moved but the angle of rotation remained the same? A rotation can also be defined as a composite of two or more reflections over intersecting lines. Consider the example below. m n Figure 6 The intersection of lines m and n becomes the center of rotation. These lines happen to be perpendicular. Notice how the has been rotated in a counterclockwise direction around the center (point of intersection). How could you determine what the angle of rotation is for this diagram? Go back to the definition of rotation discussed earlier for some ideas. The three s discussed so far have one thing in common. If you look at all of the s and compare them to their corresponding s, you will notice that the measures of the segments and angles have not changed (go ahead measure them if you wish!). Since the s have the same shape and are the same size as the s, they are congruent. Each of these s is called an isometry. An isometry is a that preserves measurements of segments and angles and therefore produces an congruent to its. A that is an isometry is also sometimes referred to as a rigid motion or rigid. In geometry, there is one more important. A dilation is a that produces an that is the same shape as the but is a different size. Sometimes they are referred to as a stretch or shrink (also called an enlargement or reduction). Each dilation is focused at the center of dilation, or a fixed point about which all points are enlarged or reduced. How much the figure is enlarged or reduced depends upon the scale factor, the ratio by which an object is enlarged or reduced. If the scale factor is greater than 1, the is an enlargement of the. If the scale factor is between 0 and 1, the is a reduction of the. B B Figure 7 A E D C E D Blackline Masters, Geometry Page 4-9 C
10 Unit 4, Activity 4, What Are Transformations? In Figure 7 above, the center of dilation is A. The measure of segment AB is 2 times the measure of segment AB. Therefore, the A B C D E is an enlargement of the ABCDE, and the scale factor is 2. Notice, the measures of the corresponding segments are not equal, however the measures of the corresponding angles are (you can verify this by using your protractor). Therefore, dilation is not an isometry. Dilation is a non-rigid, or a non-rigid motion. Because the corresponding angles have the same measure and the corresponding sides are proportional, these figures are similar which means dilation is a similarity. Blackline Masters, Geometry Page 4-10
Hands-On Explorations of Plane Transformations
Hands-On Explorations of Plane Transformations James King University of Washington Department of Mathematics king@uw.edu http://www.math.washington.edu/~king The Plan In this session, we will explore exploring.
More informationHANDS-ON TRANSFORMATIONS: RIGID MOTIONS AND CONGRUENCE (Poll Code 39934)
HANDS-ON TRANSFORMATIONS: RIGID MOTIONS AND CONGRUENCE (Poll Code 39934) Presented by Shelley Kriegler President, Center for Mathematics and Teaching shelley@mathandteaching.org Fall 2014 8.F.1 8.G.1a
More information1. Figure A' is similar to Figure A. Which transformations compose the similarity transformation that maps Figure A onto Figure A'?
Exit Ticket Sample Solutions 1. Figure A' is similar to Figure A. Which transformations compose the similarity transformation that maps Figure A onto Figure A'? Figure A Figure A' We first take a dilation
More informationUNIT 1 SIMILARITY, CONGRUENCE, AND PROOFS Lesson 2: Constructing Lines, Segments, and Angles Instruction
Prerequisite Skills This lesson requires the use of the following skills: using a compass understanding the geometry terms line, segment, ray, and angle Introduction Two basic instruments used in geometry
More informationHANDS-ON TRANSFORMATIONS: DILATIONS AND SIMILARITY (Poll Code 44273)
HANDS-ON TRANSFORMATIONS: DILATIONS AND SIMILARITY (Poll Code 44273) Presented by Shelley Kriegler President, Center for Mathematics and Teaching shelley@mathandteaching.org Fall 2014 8.F.1 8.G.3 8.G.4
More informationConstructions. Unit 9 Lesson 7
Constructions Unit 9 Lesson 7 CONSTRUCTIONS Students will be able to: Understand the meanings of Constructions Key Vocabulary: Constructions Tools of Constructions Basic geometric constructions CONSTRUCTIONS
More information*Unit 1 Constructions and Transformations
*Unit 1 Constructions and Transformations Content Area: Mathematics Course(s): Geometry CP, Geometry Honors Time Period: September Length: 10 blocks Status: Published Transfer Skills Previous coursework:
More informationGeometry Vocabulary Book
Geometry Vocabulary Book Units 2-4 Page 1 Unit 2 General Geometry Point Characteristics: Line Characteristics: Plane Characteristics: RELATED POSTULATES: Through any two points there exists exactly one
More informationSec Geometry - Constructions
Sec 2.2 - Geometry - Constructions Name: 1. [COPY SEGMENT] Construct a segment with an endpoint of C and congruent to the segment AB. A B C **Using a ruler measure the two lengths to make sure they have
More informationLesson 1: Introductions to Dilations
: Introductions to Dilations Learning Target I can create scale drawings of polygonal figures I can write scale factor as a ratio of two sides and determine its numerical value A dilation is a transformation
More informationUnderstanding Similarity
Understanding Similarity Student Probe In Quadrilateral ABCD, m A 90, m B 140, andm C 60. In Quadrilateral WXYZ, m W 90, m X 140, andm Y 60. Is Quadrilateral ABCD similar to Quadrilateral WXYZ? Explain
More informationProblem of the Month: Between the Lines
Problem of the Month: Between the Lines Overview: In the Problem of the Month Between the Lines, students use polygons to solve problems involving area. The mathematical topics that underlie this POM are
More informationBefore How does the painting compare to the original figure? What do you expect will be true of the painted figure if it is painted to scale?
Dilations LAUNCH (7 MIN) Before How does the painting compare to the original figure? What do you expect will be true of the painted figure if it is painted to scale? During What is the relationship between
More informationTransformation Games
Transformation Games These are a set of activities/games to help visualize geometric transformations (or rigid motions) movements of an object that do not change the size or shape of the object. The 3
More information3. Given the similarity transformation shown below; identify the composition:
Midterm Multiple Choice Practice 1. Based on the construction below, which statement must be true? 1 1) m ABD m CBD 2 2) m ABD m CBD 3) m ABD m ABC 1 4) m CBD m ABD 2 2. Line segment AB is shown in the
More informationExtra Practice 1. Name Date. Lesson 8.1: Parallel Lines. 1. Which line segments are parallel? How do you know? a) b) c) d)
Master 8.24 Extra Practice 1 Lesson 8.1: Parallel Lines 1. Which line segments are parallel? How do you know? a) b) c) d) 2. Look at the diagram below. Find as many pairs of parallel line segments as you
More information9.5 symmetry 2017 ink.notebook. October 25, Page Symmetry Page 134. Standards. Page Symmetry. Lesson Objectives.
9.5 symmetry 2017 ink.notebook Page 133 9.5 Symmetry Page 134 Lesson Objectives Standards Lesson Notes Page 135 9.5 Symmetry Press the tabs to view details. 1 Lesson Objectives Press the tabs to view details.
More informationUNIT 14 Loci and NC: Shape, Space and Measures Transformations 3b, 3c, 3d and 3e
UNIT 14 Loci and NC: Shape, Space and Measures Transformations 3b, 3c, 3d and 3e TOPICS (Text and Practice Books) St Ac Ex Sp 14.1 Drawing and Symmetry - - - 14.2 Scale Drawings - - 14.3 Constructing Triangles
More informationRefer to Blackboard for Activities and/or Resources
Lafayette Parish School System Curriculum Map Mathematics: Grade 5 Unit 4: Properties in Geometry (LCC Unit 5) Time frame: 16 Instructional Days Assess2know Testing Date: March 23, 2012 Refer to Blackboard
More informationWhat You ll Learn. Why It s Important
Many artists use geometric concepts in their work. Think about what you have learned in geometry. How do these examples of First Nations art and architecture show geometry ideas? What You ll Learn Identify
More information3.3. You wouldn t think that grasshoppers could be dangerous. But they can damage
Grasshoppers Everywhere! Area and Perimeter of Parallelograms on the Coordinate Plane. LEARNING GOALS In this lesson, you will: Determine the perimeter of parallelograms on a coordinate plane. Determine
More information1.5 Graphs of Reflections
1.5 Graphs of Reflections Here you will learn how to reflect an image on a coordinate grid. Triangle A has coordinates E( 5, 5), F(2, 6) and G( 2, 0). Draw the triangle on the Cartesian plane. Reflect
More informationWorksheet 10 Memorandum: Construction of Geometric Figures. Grade 9 Mathematics
Worksheet 10 Memorandum: Construction of Geometric Figures Grade 9 Mathematics For each of the answers below, we give the steps to complete the task given. We ve used the following resources if you would
More informationContents. Congruent Triangles. Additional Practice Answers to Check Your Work. Section
Contents Section Congruent Triangles Flip, Turn, Resize, and Slide 1 Transformed Triangles 2 Constructing Parallel Lines 5 Transformations 6 Reflections 7 Rotations 10 Summary 13 Check Your Work 14 Additional
More information1. What term describes a transformation that does not change a figure s size or shape?
1. What term describes a transformation that does not change a figure s size or shape? () similarity () isometry () collinearity (D) symmetry For questions 2 4, use the diagram showing parallelogram D.
More informationGraphing and Describing Reflections
Lesson: Graphing and Describing Reflections Day 4 Supplement Lesson Graphing and Describing Reflections Teacher Lesson Plan CC Standards 8.G.3 Describe the effect of dilations, translations, rotations,
More information(Geometry) Academic Standard: TLW use appropriate tools to perform basic geometric constructions.
Seventh Grade Mathematics Assessments page 1 (Geometry) Academic Standard: TLW use appropriate tools to perform basic geometric constructions. A. TLW use tools to draw squares, rectangles, triangles and
More informationCONSTRUCTION #1: Segment Copy
CONSTRUCTION #1: Segment Copy Objective: Given a line segment, construct a line segment congruent to the given one. Procedure: After doing this Your work should look like this Start with a line segment
More informationPatty Paper, Patty Paper
Patty Paper, Patty Paper Introduction to Congruent Figures 1 WARM UP Draw an example of each shape. 1. parallelogram 2. trapezoid 3. pentagon 4. regular hexagon LEARNING GOALS Define congruent figures.
More informationProblem of the Month: Between the Lines
Problem of the Month: Between the Lines The Problems of the Month (POM) are used in a variety of ways to promote problem solving and to foster the first standard of mathematical practice from the Common
More informationLearn to use translations, reflections, and rotations to transform geometric shapes.
Learn to use translations, reflections, and rotations to transform geometric shapes. Insert Lesson Title Here Vocabulary transformation translation rotation reflection line of reflection A rigid transformation
More informationStandards of Learning Guided Practice Suggestions. For use with the Mathematics Tools Practice in TestNav TM 8
Standards of Learning Guided Practice Suggestions For use with the Mathematics Tools Practice in TestNav TM 8 Table of Contents Change Log... 2 Introduction to TestNav TM 8: MC/TEI Document... 3 Guided
More informationObjective: Use a compass and straight edge to construct congruent segments and angles.
CONSTRUCTIONS Objective: Use a compass and straight edge to construct congruent segments and angles. Introduction to Constructions Constructions: The drawing of various shapes using only a pair of compasses
More informationDOWNLOAD OR READ : PATTY PAPER GEOMETRY PDF EBOOK EPUB MOBI
DOWNLOAD OR READ : PATTY PAPER GEOMETRY PDF EBOOK EPUB MOBI Page 1 Page 2 patty paper geometry patty paper geometry pdf patty paper geometry Patty Paper Geometry is designed as two books. A PPG Teacher
More informationTImath.com. Geometry. Scale Factor
Scale Factor ID: 8299 Time required 45 minutes Activity Overview Students will dilate polygons and find the perimeter and area of both the pre-image and image. Then they find the ratios of the perimeters
More informationTable of Contents Problem Solving with the Coordinate Plane
GRADE 5 UNIT 6 Table of Contents Problem Solving with the Coordinate Plane Lessons Topic 1: Coordinate Systems 1-6 Lesson 1: Construct a coordinate system on a line. Lesson 2: Construct a coordinate system
More informationObjective: Use a compass and straight edge to construct congruent segments and angles.
CONSTRUCTIONS Objective: Use a compass and straight edge to construct congruent segments and angles. Oct 1 8:33 AM Oct 2 7:42 AM 1 Introduction to Constructions Constructions: The drawing of various shapes
More informationEuclid s Muse MATERIALS VOCABULARY. area perimeter triangle quadrilateral rectangle line point plane. TIME: 40 minutes
Euclid s Muse In this activity, participants match geometry terms to definitions and definitions to words. MATERIALS Transparency: Euclid s Muse Directions Transparency/Page: Euclid s Muse Transparency/Page:
More information9-1: Circle Basics GEOMETRY UNIT 9. And. 9-2: Tangent Properties
9-1: Circle Basics GEOMETRY UNIT 9 And 9-2: Tangent Properties CIRCLES Content Objective: Students will be able to solve for missing lengths in circles. Language Objective: Students will be able to identify
More informationLesson 1: Scale Drawings
Name: : Scale Drawings Learning Target I can create scale drawings of polygonal figures by the Ratio Method I can determine the distance a point moves from the center of dilation based on the scale factor
More informationGEOMETRY NOTES EXPLORATION: LESSON 4.4/4.5 Intro Triangle Shortcuts
Your group will produce two of each type of triangle fitting the descriptions below. Any sides or angles NOT specified can be whatever size you like. Divide the work any way you like. Before you cut out
More informationFolding Activity 3. Compass Colored paper Tape or glue stick
Folding Activity 3 Part 1 You re not done until everyone in your group is done! If you finish before someone else, help them finish before starting on the next part. You ll need: Patty paper Ruler Sharpie
More informationCircles Assignment Answer the following questions.
Answer the following questions. 1. Define constructions. 2. What are the basic tools that are used to draw geometric constructions? 3. What is the use of constructions? 4. What is Compass? 5. What is Straight
More informationSemester 1 Final Exam Review
Target 1: Vocabulary and notation Semester 1 Final Exam Review Name 1. Find the intersection of MN and LO. 2. 3) Vocabulary: Define the following terms and draw a diagram to match: a) Point b) Line c)
More informationThe 7* Basic Constructions Guided Notes
Name: The 7* asic Constructions Guided Notes Included: 1. Given an segment, construct a 2 nd segment congruent to the original. (ctually not included!) 2. Given an angle, construct a 2 nd angle congruent
More informationSOL Review April Class work-nallari Math 8 Measurement & Geometry SOL -CAT Questions 13 SOL 8.6a, 8.7a-b, 8.8a-b,8.9,8.10a-b&8.
SOL Review April 18-22 Class work-nallari Math 8 Measurement & Geometry SOL -CAT Questions 13 SOL 8.6a, 8.7a-b, 8.8a-b,8.9,8.10a-b&8.11 Nallari Math 8 1 SOL8.6a 1.Lines l, m, and n intersect at the same
More informationUnit 7 Scale Drawings and Dilations
Unit 7 Scale Drawings and Dilations Day Classwork Day Homework Friday 12/1 Unit 6 Test Monday 12/4 Tuesday 12/5 Properties of Scale Drawings Scale Drawings Using Constructions Dilations and Scale Drawings
More informationName. Ms. Nong. Due on: Per: Geometry 2 nd semester Math packet # 2 Standards: 8.0 and 16.0
Name FRIDAY, FEBRUARY 24 Due on: Per: TH Geometry 2 nd semester Math packet # 2 Standards: 8.0 and 16.0 8.0 Students know, derive, and solve problems involving the perimeter, circumference, area, volume
More informationFolding Activity 1. Colored paper Tape or glue stick
Folding Activity 1 We ll do this first activity as a class, and I will model the steps with the document camera. Part 1 You ll need: Patty paper Ruler Sharpie Colored paper Tape or glue stick As you do
More informationGeometry SOL G.4 Constructions Name Date Block. Constructions
Geometry SOL G.4 Constructions Mrs. Grieser Name Date Block Constructions Grab your compass and straight edge - it s time to learn about constructions!! On the following pages you will find instructions
More information7th Grade Drawing Geometric Figures
Slide 1 / 53 Slide 2 / 53 7th Grade Drawing Geometric Figures 2015-11-23 www.njctl.org Slide 3 / 53 Topics Table of Contents Determining if a Triangle is Possible Click on a topic to go to that section
More informationGrade 8 Module 3 Lessons 1 14
Eureka Math 2015 2016 Grade 8 Module 3 Lessons 1 14 Eureka Math, A Story of R a t i o s Published by the non-profit Great Minds. Copyright 2015 Great Minds. No part of this work may be reproduced, distributed,
More informationUsing inductive reasoning and conjectures Student Activity Sheet 2; use with Exploring The language of geometry
1. REINFORCE Find a geometric representation for the following sequence of numbers. 3, 4, 5, 6, 7, 2. What are the three undefined terms in geometry? 3. Write a description of a point. How are points labeled?
More informationConstructing Perpendiculars to a Line. Finding the Right Line. Draw a line and a point labeled P not on the line, as shown above.
Page 1 of 5 3.3 Intelligence plus character that is the goal of true education. MARTIN LUTHER KING, JR. Constructing Perpendiculars to a Line If you are in a room, look over at one of the walls. What is
More information(Length and Area Ratio s)
(Length and Area Ratio s) Standard Televisions are measured by the length of the diagonal. Most manufactures included the TV frame as part of the measurement (when measuring CRT (cathode ray tube) screens).
More informationProblem Set #4 Due 5/3 or 5/4 Pd
Geometry Name Problem Set #4 Due 5/3 or 5/4 Pd Directions: To receive full credit, show all required work. Questions may have multiple correct answers. Clearly indicate the answers chosen. For multiple
More information3 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 In the diagram below, ABC XYZ. 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. Which two statements identify
More informationUNIT 1 SIMILARITY, CONGRUENCE, AND PROOFS Lesson 3: Constructing Polygons Instruction
rerequisite Skills This lesson requires the use of the following skills: using a compass copying and bisecting line segments constructing perpendicular lines constructing circles of a given radius Introduction
More informationGEOMETRY (Common Core)
GEOMETRY (COMMON CORE) Network 603 PRACTICE REGENTS HIGH SCHOOL EXAMINATION GEOMETRY (Common Core) Practice Exam Student Name: School Name: The possession or use of any communications device is strictly
More information0809ge. Geometry Regents Exam Based on the diagram below, which statement is true?
0809ge 1 Based on the diagram below, which statement is true? 3 In the diagram of ABC below, AB # AC. The measure of!b is 40. 1) a! b 2) a! c 3) b! c 4) d! e What is the measure of!a? 1) 40 2) 50 3) 70
More informationJune 2016 Regents GEOMETRY COMMON CORE
1 A student has a rectangular postcard that he folds in half lengthwise. Next, he rotates it continuously about the folded edge. Which three-dimensional object below is generated by this rotation? 4) 2
More informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Tuesday, January 23, 2018-9:15 a.m. to 12:15 p.m., only The possession or use of any communications device is strictly
More informationB. Examples: 1. At NVHS, there are 104 teachers and 2204 students. What is the approximate teacher to student ratio?
Name Date Period Notes Formal Geometry Chapter 7 Similar Polygons 7.1 Ratios and Proportions A. Definitions: 1. Ratio: 2. Proportion: 3. Cross Products Property: 4. Equivalent Proportions: B. Examples:
More informationGeometry Station Activities for Common Core State Standards
Geometry Station Activities for Common Core State Standards WALCH EDUCATION Table of Contents Standards Correlations...................................................... v Introduction..............................................................vii
More information8.G.A.3 Effects of Dilations on Length, Area, and Angles
8.G..3 Effects of Dilations on Length, rea, and ngles lignments to ontent Standards: 8.G..3 Task onsider triangle. a. Draw a dilation of with: i. enter and scale factor. ii. enter and scale factor 3. iii.
More informationAssignment. Visiting Washington, D.C. Transversals and Parallel Lines
Assignment Assignment for Lesson.1 Name Date Visiting Washington, D.C. Transversals and Parallel Lines Do not use a protractor in this assignment. Rely only on the measurements given in each problem. 1.
More informationDay 1: June 6, 2011 (Kristin, Shirley, Sheryle, Amber) 8:30 Norms, parking lot (Shirley) 8:40 Class builder (Sheryle) 8:50 PS 1 Materials: Rulers,
Day 1: June 6, 2011 (Kristin, Shirley, Sheryle, Amber) 8:30 Norms, parking lot (Shirley) 8:40 Class builder (Sheryle) 8:50 PS 1 Materials: Rulers, protractors, colored pencils, shapes printed on colored
More informationGEOMETRY, MODULE 1: SIMILARITY
GEOMETRY, MODULE 1: SIMILARITY LIST OF ACTIVITIES: The following three activities are in the Sec 01a file: Visual Level: Communication Under the Magnifying Glass Vusi s Photos The activities below are
More informationPlot the points. Then connect the vertices, X', Y', and Z' to form the reflected image.
Graph each figure and its image under the given reflection. 11. rectangle ABCD with A(2, 4), B(4, 6), C(7, 3), and D(5, 1) in the x-axis. To reflect over the x-axis, multiply the y-coordinate of each vertex
More informationTable of Contents. Standards Correlations...v Introduction...vii Materials List... x
Table of Contents Standards Correlations...v Introduction...vii Materials List... x...1...1 Set 2: Classifying Triangles and Angle Theorems... 13 Set 3: Corresponding Parts, Transformations, and Proof...
More informationBig Ideas Math: A Common Core Curriculum Geometry 2015 Correlated to Common Core State Standards for High School Geometry
Common Core State s for High School Geometry Conceptual Category: Geometry Domain: The Number System G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment,
More information3 Kevin s work for deriving the equation of a circle is shown below.
June 2016 1. A student has a rectangular postcard that he folds in half lengthwise. Next, he rotates it continuously about the folded edge. Which three-dimensional object below is generated by this rotation?
More information5.3. Area of Polygons and Circles Play Area. My Notes ACTIVITY
Area of Polygons and Circles SUGGESTED LEARNING STRATEGIES: Think/Pair/Share ACTIVITY 5.3 Pictured below is an aerial view of a playground. An aerial view is the view from above something. Decide what
More informationMCAS/DCCAS Mathematics Correlation Chart Grade 4
MCAS/DCCAS Mathematics Correlation Chart Grade 4 MCAS Finish Line Mathematics Grade 4 MCAS Standard DCCAS Standard DCCAS Standard Description Unit 1: Number Sense Lesson 1: Whole Number Place Value Lesson
More informationA A B B C C D D. NC Math 2: Transformations Investigation
NC Math 2: Transformations Investigation Name # For this investigation, you will work with a partner. You and your partner should take turns practicing the rotations with the stencil. You and your partner
More informationAGS Math Algebra 2 Correlated to Kentucky Academic Expectations for Mathematics Grades 6 High School
AGS Math Algebra 2 Correlated to Kentucky Academic Expectations for Mathematics Grades 6 High School Copyright 2008 Pearson Education, Inc. or its affiliate(s). All rights reserved AGS Math Algebra 2 Grade
More informationThe learner will recognize and use geometric properties and relationships.
The learner will recognize and use geometric properties and relationships. Notes 3and textbook 3.01 Use the coordinate system to describe the location and relative position of points and draw figures in
More informationLesson 1 Pre-Visit Ballpark Figures Part 1
Lesson 1 Pre-Visit Ballpark Figures Part 1 Objective: Students will be able to: Estimate, measure, and calculate length, perimeter, and area of various rectangles. Time Requirement: 1 class period, longer
More information1 Version 2.0. Related Below-Grade and Above-Grade Standards for Purposes of Planning for Vertical Scaling:
Claim 1: Concepts and Procedures Students can explain and apply mathematical concepts and carry out mathematical procedures with precision and fluency. Content Domain: Geometry Target E [a]: Draw, construct,
More information0810ge. 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)
0810ge 1 In the diagram below, ABC! XYZ. 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. Which two statements
More informationMeasuring and Drawing Angles and Triangles
NME DTE Measuring and Drawing ngles and Triangles Measuring an angle 30 arm origin base line 0 180 0 If the arms are too short to reach the protractor scale, lengthen them. Step 1: lace the origin of the
More informationChallenges from Ancient Greece
Challenges from ncient Greece Mathematical goals Make formal geometric constructions with a variety of tools and methods. Use congruent triangles to justify geometric constructions. Common Core State Standards
More informationUNIT 1 GEOMETRY. (revision from 1 st ESO) Unit 8 in our books
UNIT 1 GEOMETRY (revision from 1 st ESO) Unit 8 in our books WHAT'S GEOMETRY? Geometry is the study of the size, shape and position of 2 dimensional shapes and 3 dimensional figures. In geometry, one explores
More informationCopying a Line Segment
Copying a Line Segment Steps 1 4 below show you how to copy a line segment. Step 1 You are given line segment AB to copy. A B Step 2 Draw a line segment that is longer than line segment AB. Label one of
More informationNaming Angles. Quick Review. Try These UNIT 4. An angle is formed when 2 lines meet.
UNIT 4 1 STUDENT BOOK Naming Angles LESSO N Quick Review At At Home Sc h o o l An angle is formed when 2 lines meet. right angle straight angle An acute angle An obtuse angle is A reflex angle is is less
More informationEureka Math. Grade, Module. Student _B Contains Sprint and Fluency, Exit Ticket, and Assessment Materials
A Story of Eureka Math Grade, Module Student _B Contains Sprint and Fluency,, and Assessment Materials Published by the non-profit Great Minds. Copyright 2015 Great Minds. All rights reserved. No part
More informationUnit 1 NOTES Honors Math 2 18
Unit 1 NOTES Honors Math 2 18 Day 5: Copositions War-Up: Given triangle GHI with G(-2, 1), H(3, 4), and I(1, 5), find the points of the iage under the following transforations and write the lgebraic Rule.
More informationARTS IMPACT ARTS-INFUSED INSTITUTE LESSON PLAN (YR2-AEMDD) LESSON TITLE: Reflections: Balancing Line, Shape and Color Visual Art and Math Lesson
ARTS IMPACT ARTS-INFUSED INSTITUTE LESSON PLAN (YR2-AEMDD) LESSON TITLE: Reflections: Balancing Line, Shape and Color Visual Art and Lesson Artist-Mentor Meredith Essex Grade Level: Fifth Grade Enduring
More informationElementary Geometric Drawings Angles. Angle Bisector. Perpendicular Bisector
Lessons and Activities GEOMETRY Elementary Geometric Drawings Angles Angle Bisector Perpendicular Bisector 1 Lessons and Activities POLYGONS are PLANE SHAPES (figures) with at least 3 STRAIGHT sides and
More information8 th Grade Domain 3: Geometry (28%)
8 th Grade Domain 3: Geometry (28%) 1. XYZ was obtained from ABC by a rotation about the point P. (MGSE8.G.1) Which indicates the correspondence of the vertices? A. B. C. A X, B Y, C Z A Y, B Z, C X A
More informationPlease plan carefully. Papers are due at the start of class on the due date. Late papers will not be accepted.
Please plan carefully. Papers are due at the start of class on the due date. Late papers will not be accepted. Name: Geometry CC Regents Review #11 Part I: Answer all questions in this part. Each correct
More informationGrade 6. Prentice Hall. Connected Mathematics 6th Grade Units Alaska Standards and Grade Level Expectations. Grade 6
Prentice Hall Connected Mathematics 6th Grade Units 2004 Grade 6 C O R R E L A T E D T O Expectations Grade 6 Content Standard A: Mathematical facts, concepts, principles, and theories Numeration: Understand
More informationName Period Date. GEOMETRY AND MEASURESUREMENT Student Pages for Packet 6: Drawings and Constructions
Name Period Date GEOMETRY AND MEASURESUREMENT Student Pages for Packet 6: Drawings and Constructions GEO6.1 Geometric Drawings Review geometric notation and vocabulary. Use a compass and a ruler to make
More informationActivities. for building. geometric connections. MCTM Conference Cheryl Tucker
Activities for building geometric connections (handout) MCTM Conference 2013 Cheryl Tucker Minneapolis Public Schools Tucker.cherylj@gmail.com (Many materials are from Geometry Connections, CPM, used with
More information9.3 Properties of Chords
9.3. Properties of Chords www.ck12.org 9.3 Properties of Chords Learning Objectives Find the lengths of chords in a circle. Discover properties of chords and arcs. Review Queue 1. Draw a chord in a circle.
More informationObjective: Draw rectangles and rhombuses to clarify their attributes, and define rectangles and rhombuses based on those attributes.
NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 18 5 5 Lesson 18 Objective: Draw rectangles and rhombuses to clarify their attributes, and define Suggested Lesson Structure Fluency Practice Application Problem
More informationDay 26 Bellringer. 1. Given that the pair of lines intersected by the transversal are parallel, find the value of the x in the following figures.
Day 26 Bellringer 1. Given that the pair of lines intersected by the transversal are parallel, find the value of the x in the following figures. (a) 2x + 17 3x 41 (b) 9x + 18 11x (c) x + 5 91 x HighSchoolMathTeachers@2018
More informationGeometer s Skethchpad 8th Grade Guide to Learning Geometry
Geometer s Skethchpad 8th Grade Guide to Learning Geometry This Guide Belongs to: Date: Table of Contents Using Sketchpad - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
More information18 Two-Dimensional Shapes
18 Two-Dimensional Shapes CHAPTER Worksheet 1 Identify the shape. Classifying Polygons 1. I have 3 sides and 3 corners. 2. I have 6 sides and 6 corners. Each figure is made from two shapes. Name the shapes.
More informationSlopes of Lines Notes What is slope?
Slopes of Lines Notes What is slope? Find the slope of each line. 1 Find the slope of each line. Find the slope of the line containing the given points. 6, 2!!"#! 3, 5 4, 2!!"#! 4, 3 Find the slope of
More information