Graphing and Describing Reflections

Size: px
Start display at page:

Download "Graphing and Describing Reflections"

Transcription

1 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, and reflections on two-dimensional figures using coordinates. Objective TSW Graph reflections. TSW Describe what happens to the coordinates when a reflection is performed. Mathematical Practices #1 Make sense of problems and persevere in solving them. #6 Attend to precision. #7 Look for and make use of structure. #8 Look for and express regularity in repeated reasoning. Note to teachers: Be sure to teach this lesson from the PowerPoint, not the student notes. You will be missing most of the lesson otherwise. Teacher Input Bellwork: Review bellwork. Homework: Review important problems assigned the previous night. Introduction: Introduce as directed on the PowerPoint. Lesson: Teach as directed in the PowerPoint. Be sure to look at the notes on each slide for additional instruction and answers. Practice Classwork Pages 5-6 Homework Pages 7-8 Closure See closure slide on PowerPoint. 1 P a g e

2 Student Notes Steps for Performing a Reflection Step 1: Step 2: Step 3: Start with any vertex and count the number of units to the specified axis or line. Measure the same distance on the other side of the specified axis (or line) and place a dot. Label using prime notation. Repeat for the other vertices. Example: Reflect figure ABCD across the y-axis. Pre-Image Image A(-6, 5) A (6, 5) B(-3, 5) B (3, 5) C(-3, 1) C (3, 1) D(-6, 3) D (6, 3) reflection across y-axis -----When you reflect across the y-axis----- The y-coordinate will always stay the same. The x-coordinate will always flip signs. x, y x, y Here is the same pre-image but this time it is reflected across the x-axis. Example: 2 P a g e

3 You Try #1 You Try #2 Reflect ABC across the y-axis Reflect figure QRST across the x-axis Name the coordinates of the image. Name the coordinates of the image. You Try #3 You Try #4 Reflect EFG across the line x=2 Reflect figure ABCD across the line y=4 Name the coordinates of the image. Name the coordinates of the image. 3 P a g e

4 You Try #5 You Try #6 Describe the reflection below. Describe the reflection below. You Try #7 You Try #8 Which of the following represents a Describe the below reflection. single reflection of Figure 1? You Try #9 4 P a g e

5 Name Date Period Classwork Reflections Directions: Perform each reflection. Label using prime notation. 1. Reflect over the x-axis. 2. Reflect over the y-axis. 3. Reflect across x = 1 4. Reflect across y = In a coordinate plane, triangle ABC has the verities A(-5, 1), B(-4, 4), and C(-3, 1). The triangle ABC is reflected across the x-axis, resulting in triangle A B C. Without graphing, what are the coordinates of A B C? A (, ) B (, ) C (, ) 5 P a g e

6 ABC has vertices A(2,1), B(3,-5), and C(-2,4). Graph ABC and its image A B C, after a reflection over each line below. Then, name the coordinates of A,B and C. 6. the x-axis 7. the y-axis 8. the horizontal line y=2 Describe each reflection below Which of the below describes a reflection of the point (9,7) across the y-axis? A. (9, 7) ( 9, 7) B. (9, 7) (9, 7) Explain how you know. 6 P a g e

7 Name Transformations Answer each of the following questions on transformations. 1) Translate WXYZ: 4 units to the right and 2 units down Label the image W X Y Z Name the coordinates of the pre-image and image: Homework Date Period W (, ) X (, ) Y (, ) Z (, ) W (, ) X (, ) Y (, ) Z (, ) 2) Reflect ABC over the x-axis. Label the image A B C Name the coordinates of the pre-image and image: A (, ) A (, ) B (, ) B (, ) C (, ) C (, ) 3) Write the coordinates of CDE. If CDE is reflected over the y-axis to form C D E what would be the coordinates of C D E? C (, ) D (, ) E (, ) C (, ) D (, ) E (, ) 7 P a g e

8 4) Which explanation indicates how Point A (-5,4) becomes Point A (1,2)? A. Move Point A 6 units to the left and 1 unit up B. Move Point A 3 units to the right and 1 unit down C. Move Point A 6 units to the right and 2 units down D. Move Point A 7 units to the left and 2 units down 5) Which of the following statements correctly explains how to perform a reflection of a figure on the coordinate plane? A. Turn the figure clockwise by the specified number of degrees. B. Slide the figure the specified number of units. C. Turn the figure counter-clockwise by the specified number of degrees. D. Flip the figure over the specified line of reflection. 6) What is the degree of rotation counter-clockwise from the pre-image to figure 2? What is the degree of rotation clockwise from the pre-image to figure 1? What is the degree of rotation counter-clockwise from the pre-image to figure 1? What is the degree of rotation counter-clockwise from the pre-image to figure 3? 7) The diagram on the right shows dilation. Was the original figure enlarged or reduced? Explain how you know. 8 P a g e

9 9 P a g e

10 Answer Key Graphing and Describing Reflections Student Notes Steps for Performing a Reflection Step 1: Step 2: Step 3: Start with any vertex and count the number of units to the specified axis or line. Measure the same distance on the other side of the specified axis (or line) and place a dot. Label using prime notation. Repeat for the other vertices. Example: Reflect figure ABCD across the y-axis. Pre-Image Image A(-6, 5) A (6, 5) B(-3, 5) B (3, 5) C(-3, 1) C (3, 1) D(-6, 3) D (6, 3) reflection across y-axis -----When you reflect across the y-axis----- The y-coordinate will always stay the same. The x-coordinate will always flip signs. x, y x, y Here is the same pre-image but this time it is reflected across the x-axis. Example: 10 P a g e

11 You Try #1 You Try #2 Reflect ABC across the y-axis Reflect figure QRST across the x-axis Name the coordinates of the image. A (2,3) B (8,6) C (4,7) Name the coordinates of the image. Q (-8,2) R (-4,2) S (-10,5) T (-6,5) You Try #3 You Try #4 Reflect EFG across the line x=2 Reflect figure ABCD across the line y=4 Name the coordinates of the image. Name the coordinates of the image. E (-1,-4) A (-9, 1) F (-4,-1) B (-5,1) G (-4,-4) C (-6,3) D (-9,3) 11 P a g e

12 You Try #5 You Try #6 Describe the reflection below. Describe the reflection below. Reflection across x-axis Reflection across y-axis You Try #7 You Try #8 Which of the following represents a Describe the below reflection. single reflection of Figure 1? You Try #9 12 P a g e

13 Name Answer Key Date Classwork Period Reflections Directions: Perform each reflection. Label using prime notation. 1. Reflect over the x-axis. 2. Reflect over the y-axis. 3. Reflect across x = 1 4. Reflect across y = In a coordinate plane, triangle ABC has the verities A(-5, 1), B(-4, 4), and C(-3, 1). The triangle ABC is reflected across the x-axis, resulting in triangle A B C. Without graphing, what are the coordinates of A B C? A ( -5, -1 ) B ( -4, -4 ) C (-3, -1 ) x-coordinate stays the same; y-coordinate flips signs. 13 P a g e

14 ABC has vertices A(2,1), B(3,-5), and C(-2,4). Graph ABC and its image A B C, after a reflection over each line below. Then, name the coordinates of A,B and C. 6. the x-axis 7. the y-axis 8. the horizontal line y=2 Describe each reflection below Reflection across x-axis Reflection across y = Which of the below describes a reflection of the point (9,7) across the y-axis? A. (9, 7) ( 9, 7) B. (9, 7) (9, 7) Explain how you know. A because the y-coordinate stayed the same and the x-coordinate flipped signs. 14 P a g e

15 Homework Name Answer Key Date Period Transformations Answer each of the following questions on transformations. 1) Translate WXYZ: 4 units to the right and 2 units down Label the image W X Y Z Name the coordinates of the pre-image and image: W ( -4, 4 ) X ( 4, 8 ) Y ( 4, -4 ) Z ( -4, -8 ) W ( 0, 2 ) X ( 8, 6 ) Y ( 8, -6 ) Z ( 0, -10 ) 2) Reflect ABC over the x-axis. Label the image A B C Name the coordinates of the pre-image and image: A ( 2, 3 ) A ( 2, -3 ) B ( 7, -3 ) B ( 7, -3 ) C ( 4, -6 ) C ( 4, -6 ) 3) Write the coordinates of CDE. If CDE is reflected over the y-axis to form C D E what would be the coordinates of C D E? C ( -4, -1 ) D ( 0, 3 ) E ( -3, 3 ) C ( 4, -1 ) D ( 3, 0 ) E ( 3, 3 ) 15 P a g e

16 4) Which explanation indicates how Point A (-5,4) becomes Point A (1,2)? A. Move Point A 6 units to the left and 1 unit up B. Move Point A 3 units to the right and 1 unit down C. Move Point A 6 units to the right and 2 units down D. Move Point A 7 units to the left and 2 units down 5) Which of the following statements correctly explains how to perform a reflection of a figure on the coordinate plane? A. Turn the figure clockwise by the specified number of degrees. B. Slide the figure the specified number of units. C. Turn the figure counter-clockwise by the specified number of degrees. D. Flip the figure over the specified line of reflection. 6) What is the degree of rotation counter-clockwise from the pre-image to figure 2? _180_ What is the degree of rotation clockwise from the pre-image to figure 1? 90 What is the degree of rotation counter-clockwise from the pre-image to figure 1? 270 What is the degree of rotation counter-clockwise from the pre-image to figure 3? 90 7) The diagram on the right shows dilation. Was the original figure enlarged or reduced? Explain how you know. The new image is referenced with prime symbols. The image became smaller so it would be considered a reduction of the pre-image. 16 P a g e

1.5 Graphs of Reflections

1.5 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 information

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?

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? 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 information

Lesson 1: Introductions to Dilations

Lesson 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 information

HANDS-ON TRANSFORMATIONS: RIGID MOTIONS AND CONGRUENCE (Poll Code 39934)

HANDS-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 information

Lesson 1: Scale Drawings

Lesson 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 information

Mathematics Success Grade 6

Mathematics Success Grade 6 T428 Mathematics Success Grade 6 [OBJECTIVE] The students will plot ordered pairs containing rational values to identify vertical and horizontal lengths between two points in order to solve real-world

More information

Contents. Congruent Triangles. Additional Practice Answers to Check Your Work. Section

Contents. 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 information

Chapter 9: Transformations and Symmetry. MULTIPLE CHOICE Example 1: Which shows the reflected image of quadrilateral ABCD in line n? A. B. C. D.

Chapter 9: Transformations and Symmetry. MULTIPLE CHOICE Example 1: Which shows the reflected image of quadrilateral ABCD in line n? A. B. C. D. Lesson 9-1: Reflections Date: MULTIPLE CHOICE Example 1: Which shows the reflected image of quadrilateral ABCD in line n? A. B. C. D. MULTIPLE CHOICE Example 2: Omar is playing miniature golf at a local

More information

2 a Shade one more square to make a pattern with just one line of symmetry.

2 a Shade one more square to make a pattern with just one line of symmetry. GM2 End-of-unit Test Rotate the shape 80 about point P. P 2 a Shade one more square to make a pattern with just one line of symmetry. b Shade one more square to make a pattern with rotational symmetry

More information

UNDERSTAND SIMILARITY IN TERMS OF SIMILARITY TRANSFORMATIONS

UNDERSTAND SIMILARITY IN TERMS OF SIMILARITY TRANSFORMATIONS UNDERSTAND SIMILARITY IN TERMS OF SIMILARITY TRANSFORMATIONS KEY IDEAS 1. A dilation is a transformation that makes a figure larger or smaller than the original figure based on a ratio given by a scale

More information

Lesson 3A. Opening Exercise. Identify which dilation figures were created using r = 1, using r > 1, and using 0 < r < 1.

Lesson 3A. Opening Exercise. Identify which dilation figures were created using r = 1, using r > 1, and using 0 < r < 1. : Properties of Dilations and Equations of lines Opening Exercise Identify which dilation figures were created using r = 1, using r > 1, and using 0 < r < 1. : Properties of Dilations and Equations of

More information

Plot the points. Then connect the vertices, X', Y', and Z' to form the reflected image.

Plot 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 information

Understanding Similarity

Understanding 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 information

1. Figure A' is similar to Figure A. Which transformations compose the similarity transformation that maps Figure A onto Figure A'?

1. 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 information

Lesson 4: General Pyramids and Cones and Their Cross-Sections

Lesson 4: General Pyramids and Cones and Their Cross-Sections : General Pyramids and Cones and Their Cross-Sections Learning Target 1. I can state the definition of a general pyramid and cone, and that their respective cross-sections are similar to the base. 2. I

More information

3.3. You wouldn t think that grasshoppers could be dangerous. But they can damage

3.3. 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 information

18 Two-Dimensional Shapes

18 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 information

Unit 4, Activity 1, Vocabulary Self-Awareness

Unit 4, Activity 1, Vocabulary Self-Awareness 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

More information

PERFORMANCE TASK. SYMMETRY, TRANSLATIONS & CONGRUENCE Scaff 2014

PERFORMANCE TASK. SYMMETRY, TRANSLATIONS & CONGRUENCE Scaff 2014 PERFORMANCE TASK SYMMETRY, TRANSLATIONS & CONGRUENCE Scaff 2014 Click on the link below, to watch a video on symmetry & translations http://www.linkslearning.k12.wa.us/kids/1_m ath/2_illustrated_lessons/4_line_symmetry/i

More information

Bellwork Teacher selected Prior Knowledge Over the last few days we have been working with exponents and also learning about scientific notation.

Bellwork Teacher selected Prior Knowledge Over the last few days we have been working with exponents and also learning about scientific notation. Course: 8 th Grade Math DETAIL LESSON PLAN Student Objective 8EEA4 Perform operations (+, -, x, ) with numbers expressed in scientific notation Some problems may include one number written in standard

More information

TImath.com. Geometry. Scale Factor

TImath.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 information

Learn to use translations, reflections, and rotations to transform geometric shapes.

Learn 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 information

Day 1. Last Night s Homework Angle Worksheet (11 problems) Bellwork Angle quiz.

Day 1. Last Night s Homework Angle Worksheet (11 problems) Bellwork Angle quiz. Course: 7 th Grade Math DETAIL LESSON PLAN Wednesday, January 25 / Thursday, January 26 Student Objective (Obj. 3e) TSW use the Pythagorean Theorem to find the missing length of a side of a right triangle.

More information

HANDS-ON TRANSFORMATIONS: DILATIONS AND SIMILARITY (Poll Code 44273)

HANDS-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 information

Intermediate Mathematics Provincial Assessment 2008

Intermediate Mathematics Provincial Assessment 2008 Intermediate Mathematics Provincial Assessment 008 Last Name: First Name: MI: Teacher: School Name: School District: You will have to complete your name and school information in three places: (1) On this

More information

Lesson 15: The Slope of a Non Vertical Line

Lesson 15: The Slope of a Non Vertical Line Classwork Opening Exercise Example Graph A Graph B a. Which graph is steeper? b. Write directions that explain how to move from one point on the graph to the other for each of Graph A and Graph B. c. Write

More information

Math 9 - Similar and Transformations Unit Assignment

Math 9 - Similar and Transformations Unit Assignment Math 9 - Similar and Transformations Unit Assignment Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Determine the scale factor for this scale diagram.

More information

A A B B C C D D. NC Math 2: Transformations Investigation

A 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 information

Elko County School District 5 th Grade Math Learning Targets

Elko County School District 5 th Grade Math Learning Targets Elko County School District 5 th Grade Math Learning Targets Nevada Content Standard 1.0 Students will accurately calculate and use estimation techniques, number relationships, operation rules, and algorithms;

More information

Unit 7 Scale Drawings and Dilations

Unit 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 information

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

3. 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 information

Unit 3. Parallel and Perpendicular Lines. a. n and m. b. p and q. c. n and p. Sep 14 7:54 AM. Sep 14 7:58 AM. Sep 14 8:07 AM.

Unit 3. Parallel and Perpendicular Lines. a. n and m. b. p and q. c. n and p. Sep 14 7:54 AM. Sep 14 7:58 AM. Sep 14 8:07 AM. 3.1 Relationships between lines Unit 3 -- Parallel and Perpendicular Lines Parallel lines lie in the same plane do not intersect Perpendicular lines lie in the same plane intersect to form right angles

More information

Chapter 11.5 Homework Practice Rotations on the Coordinate Plane

Chapter 11.5 Homework Practice Rotations on the Coordinate Plane Chapter 11.5 Homework Practice Rotations on the Coordinate Plane Draw each figure after the rotation described. 1. 270 clockwise rotation about point A 2. 180 clockwise rotation about point A 3. A figure

More information

A web source that was used to assist in the development is:

A web source that was used to assist in the development is: Logo Transformations The objective of this lesson is to analyze line and reflection symmetry and transformations in logos. The activity has three different parts. The first explores the symmetry of the

More information

4 th Grade Curriculum Map

4 th Grade Curriculum Map 4 th Grade Curriculum Map 2017-18 MONTH UNIT/ CONTENT CORE GOALS/SKILLS STANDARDS WRITTEN ASSESSMENTS ROUTINES RESOURCES VOCABULARY September Chapter 1 8 days NUMBERS AND OPERATIONS IN BASE TEN WORKING

More information

Information for teachers

Information for teachers Topic Drawing line graphs Level Key Stage 3/GCSE (or any course for students aged - 6) Outcomes. Students identify what is wrong with a line graph 2. Students use a mark scheme to peer assess a line graph

More information

Warm-Up. Complete the second homework worksheet (the one you didn t do yesterday). Please begin working on FBF010 and FBF011.

Warm-Up. Complete the second homework worksheet (the one you didn t do yesterday). Please begin working on FBF010 and FBF011. Warm-Up Complete the second homework worksheet (the one you didn t do yesterday). Please begin working on FBF010 and FBF011. You have 20 minutes at the beginning of class to work on these three tasks.

More information

Hands-On Explorations of Plane Transformations

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 information

Mathematics Success Level C

Mathematics Success Level C T675 LESSON 2: Line Plot [OBJECTIVE] The student will measure lengths to the nearest fourth of an inch, create line plots of the data, and answer questions about line plots. [PREREQUISITE SKILLS] know

More information

Problem of the Month: Between the Lines

Problem 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 information

, ; Obtain a Lesson Resource Page from your teacher. On it, find the quadrilateral shown in Diagram # 1 at right. Diagram #1

, ; Obtain a Lesson Resource Page from your teacher. On it, find the quadrilateral shown in Diagram # 1 at right. Diagram #1 3-2. Stretching a figure as ou did in problem 3-1 is another transformation called a dilation. When a figure is dilated from a point, the result is a similar figure. How are dilated figures related to

More information

Elizabeth Blackwell MS 210Q- 8th Grade Mid-Winter Recess Assignment

Elizabeth Blackwell MS 210Q- 8th Grade Mid-Winter Recess Assignment Class: Date: Elizabeth Blackwell MS 210Q- 8th Grade Mid-Winter Recess Assignment The following assignment has been provided for students for the Winter Recess.. Please assist your child in completing this

More information

Extra Practice 1. Name Date. Lesson 8.1: Parallel Lines. 1. Which line segments are parallel? How do you know? a) b) c) d)

Extra 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 information

Lesson 16: Relating Scale Drawings to Ratios and Rates

Lesson 16: Relating Scale Drawings to Ratios and Rates Classwork Opening Exercise: Can You Guess the Image? 1. 2. Example 1: Scale Drawings For the following problems, (a) is the actual picture and (b) is the drawing. Is the drawing an enlargement or a reduction

More information

Geometry and Spatial Reasoning

Geometry and Spatial Reasoning Geometry and Spatial Reasoning Activity: TEKS: Treasure Hunting (5.8) Geometry and spatial reasoning. The student models transformations. The student is expected to: (A) sketch the results of translations,

More information

Please 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. 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 information

Teacher Lesson Pack Lines and Angles. Suitable for Gr. 6-9

Teacher Lesson Pack Lines and Angles. Suitable for Gr. 6-9 Teacher Lesson Pack Lines and Angles Suitable for Gr. 6-9 1 2 Sir Cumference and the Great Knight of Angleland By: Cindy Neuschwander, Charlsebridge Publishing, ISBN: 1570911525 Read the book to the students.

More information

Grade 8 Module 3 Lessons 1 14

Grade 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 information

K-PREP. Kentucky Performance Rating For Educational Progress

K-PREP. Kentucky Performance Rating For Educational Progress GRADE 8 K-PREP Kentucky Performance Rating For Educational Progress EVERY CHILD MATH SAMPLE ITEMS PROFICIENT & PREPARED FOR S U C C E S S Spring 2012 Developed for the Kentucky Department of Education

More information

Polar Conics TEACHER NOTES MATH NSPIRED. Math Objectives. Vocabulary. About the Lesson. TI-Nspire Navigator System

Polar Conics TEACHER NOTES MATH NSPIRED. Math Objectives. Vocabulary. About the Lesson. TI-Nspire Navigator System Math Objectives Students will understand that the equations for conics can be expressed in polar form. Students will be able to describe the relationship between eccentricity and the type of conic section.

More information

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

(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 information

Planes, Tetrahedra, and Cross Sections

Planes, Tetrahedra, and Cross Sections Planes, Tetrahedra, and Cross Sections Los Angeles Math Circle February 26, 2017 Warm Up Problems 1. Is it possible to cut a square into 7 smaller squares, not necessarily of equal size? If so, show how

More information

Lesson 16: The Computation of the Slope of a Non Vertical Line

Lesson 16: The Computation of the Slope of a Non Vertical Line ++ Lesson 16: The Computation of the Slope of a Non Vertical Line Student Outcomes Students use similar triangles to explain why the slope is the same between any two distinct points on a non vertical

More information

Geometry Activity. Then enter the following numbers in L 1 and L 2 respectively. L 1 L

Geometry Activity. Then enter the following numbers in L 1 and L 2 respectively. L 1 L Geometry Activity Introduction: In geometry we can reflect, rotate, translate, and dilate a figure. In this activity lists and statistical plots on the TI-83 Plus Silver Edition will be used to illustrate

More information

Problem of the Month: Between the Lines

Problem 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 information

UNIT 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 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 information

Cross Sections of Three-Dimensional Figures

Cross Sections of Three-Dimensional Figures Domain 4 Lesson 22 Cross Sections of Three-Dimensional Figures Common Core Standard: 7.G.3 Getting the Idea A three-dimensional figure (also called a solid figure) has length, width, and height. It is

More information

Lesson 10.1 Skills Practice

Lesson 10.1 Skills Practice Lesson 10.1 Skills Practice Location, Location, Location! Line Relationships Vocabulary Write the term or terms from the box that best complete each statement. intersecting lines perpendicular lines parallel

More information

Lesson 1 Area of Parallelograms

Lesson 1 Area of Parallelograms NAME DATE PERIOD Lesson 1 Area of Parallelograms Words Formula The area A of a parallelogram is the product of any b and its h. Model Step 1: Write the Step 2: Replace letters with information from picture

More information

Mathematics Success Level D

Mathematics Success Level D T782 [OBJECTIVE] The student will explore concepts of angles and be able to use a protractor to measure angle degrees. [PREREQUISITE SKILLS] multiplying multi-digit whole numbers [MATERIALS] Student pages

More information

Standards 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 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 information

Mathematics Success Grade 8

Mathematics Success Grade 8 Mathematics Success Grade 8 T429 [OBJECTIVE] The student will solve systems of equations by graphing. [PREREQUISITE SKILLS] solving equations [MATERIALS] Student pages S207 S220 Rulers [ESSENTIAL QUESTIONS]

More information

Name Date Class Period. What happens to ordered pairs when a rule is applied to the coordinates?

Name Date Class Period. What happens to ordered pairs when a rule is applied to the coordinates? Name Date Class Period Activity B Extension 4.1 Modeling Transformations MATERIALS small white boards or paper markers masking tape yarn QUESTION What happens to ordered pairs when a rule is applied to

More information

LESSON PLAN: Symmetry

LESSON PLAN: Symmetry LESSON PLAN: Symmetry Subject Mathematics Content Area Space and Shape Topic Symmetry Concept Recognise and draw line of symmetry in 2-D geometrical and non geometrical shapes Determine line of symmetry

More information

0809ge. Geometry Regents Exam Based on the diagram below, which statement is true?

0809ge. 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 information

What You ll Learn. Why It s Important

What 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 information

C A R I B B E A N E X A M I N A T I O N S C O U N C I L REPORT ON CANDIDATES WORK IN THE SECONDARY EDUCATION CERTIFICATE EXAMINATION MAY/JUNE 2010

C A R I B B E A N E X A M I N A T I O N S C O U N C I L REPORT ON CANDIDATES WORK IN THE SECONDARY EDUCATION CERTIFICATE EXAMINATION MAY/JUNE 2010 C A R I B B E A N E X A M I N A T I O N S C O U N C I L REPORT ON CANDIDATES WORK IN THE SECONDARY EDUCATION CERTIFICATE EXAMINATION MAY/JUNE 2010 TECHNICAL DRAWING GENERAL PROFICIENCY Copyright 2010 Caribbean

More information

ELMS CRCT ACADEMY 7TH GRADE MATH ( MATH)

ELMS CRCT ACADEMY 7TH GRADE MATH ( MATH) Name: Date: 1. The diagram below shows a geometric figure on a coordinate plane. Which of the diagrams below shows a rotation of this geometric figure? A. B. C. D. Permission has been granted for reproduction

More information

UNIT PLAN. Big Idea/Theme: Understanding transformations of coordinate geometry and vectors allows students to study movement in the outside world.

UNIT PLAN. Big Idea/Theme: Understanding transformations of coordinate geometry and vectors allows students to study movement in the outside world. UNIT PLAN Subject: Geometry Grade Level: 10-12 Unit #: 10 Unit Name: Expansions of Coordinate Geometry Big Idea/Theme: Understanding transformations of coordinate geometry and vectors allows students to

More information

Mathematics Paper 2. Stage minutes. Page Mark. Name.. Additional materials: Ruler Calculator Protractor READ THESE INSTRUCTIONS FIRST

Mathematics Paper 2. Stage minutes. Page Mark. Name.. Additional materials: Ruler Calculator Protractor READ THESE INSTRUCTIONS FIRST 1 55 minutes Mathematics Paper 2 Stage 7 Name.. Additional materials: Ruler Calculator Protractor READ THESE INSTRUCTIONS FIRST Answer all questions in the spaces provided on the question paper. You should

More information

Semester 1 Final Exam Review

Semester 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 information

Part I: Bell Work When solving an inequality, when would you flip the inequality sign?

Part I: Bell Work When solving an inequality, when would you flip the inequality sign? Algebra 135 Seminar Lesson 55 Part I: Bell Work When solving an inequality, when would you flip the inequality sign? Part II: Mini-Lesson Review for Ch 6 Test Give a review lesson for the Chapter 6 test.

More information

Chapter 4 YOUR VOCABULARY

Chapter 4 YOUR VOCABULARY C H A P T E R 4 YOUR VOCABULARY This is an alphabetical list of new vocabulary terms you will learn in Chapter 4. As you complete the study notes for the chapter, you will see Build Your Vocabulary reminders

More information

Refer to Blackboard for Activities and/or Resources

Refer 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 information

Excellence In MathematicS

Excellence In MathematicS Mathematics Educators of Greater St. Louis and St. Louis Community College at Florissant Valley present Excellence In MathematicS Thirty-Ninth Annual Mathematics Contest Eighth Grade Test ------- March

More information

Please bring a laptop or tablet next week! Upcoming Assignment Measurement Investigations Patterns & Algebraic Thinking Investigations Break A Few

Please bring a laptop or tablet next week! Upcoming Assignment Measurement Investigations Patterns & Algebraic Thinking Investigations Break A Few Please bring a laptop or tablet next week! Upcoming Assignment Measurement Investigations Patterns & Algebraic Thinking Investigations Break A Few More Investigations Literature Circles Final Lesson Plan

More information

Table of Contents Problem Solving with the Coordinate Plane

Table 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 information

Module 5. Topic: Triangle based Explorations. Mathematical Elements. Pedagogical Elements. Activities Mathematics Teaching Institute

Module 5. Topic: Triangle based Explorations. Mathematical Elements. Pedagogical Elements. Activities Mathematics Teaching Institute Module 5 Topic: Triangle based Explorations The purpose of this professional development session is to provide teachers the opportunity to explore a typical calculus problem using geometric approaches

More information

Geometry Scaling Activity

Geometry Scaling Activity Geometry Scaling Activity Brenda Nelson and Michelle Stiller Grades 7-12 Day 1: Introduction of Similarity of Polygons: Students will be working in groups of three. Each student will be instructed to draw

More information

GEOMETRY. Workbook Common Core Standards Edition. Published by TOPICAL REVIEW BOOK COMPANY. P. O. Box 328 Onsted, MI

GEOMETRY. Workbook Common Core Standards Edition. Published by TOPICAL REVIEW BOOK COMPANY. P. O. Box 328 Onsted, MI Workbook Common Core Standards Edition Published by TOPICAL REVIEW BOOK COMPANY P. O. Box 328 Onsted, MI 49265-0328 www.topicalrbc.com EXAM PAGE Reference Sheet...i January 2017...1 June 2017...11 August

More information

Lesson 16: Relating Scale Drawings to Ratios and Rates

Lesson 16: Relating Scale Drawings to Ratios and Rates : Relating Scale Drawings to Ratios and Rates Classwork Opening Exercise: Can You Guess the Image? 1. 2. Example 1 For the following problems, (a) is the actual picture and (b) is the drawing. Is the drawing

More information

GEOMETRY, MODULE 1: SIMILARITY

GEOMETRY, 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 information

To Explore the Properties of Parallelogram

To Explore the Properties of Parallelogram Exemplar To Explore the Properties of Parallelogram Objective To explore the properties of parallelogram Dimension Measures, Shape and Space Learning Unit Quadrilaterals Key Stage 3 Materials Required

More information

Algebra Success. LESSON 16: Graphing Lines in Standard Form. [OBJECTIVE] The student will graph lines described by equations in standard form.

Algebra Success. LESSON 16: Graphing Lines in Standard Form. [OBJECTIVE] The student will graph lines described by equations in standard form. T328 [OBJECTIVE] The student will graph lines described by equations in standard form. [MATERIALS] Student pages S125 S133 Transparencies T336, T338, T340, T342, T344 Wall-size four-quadrant grid [ESSENTIAL

More information

2 nd Year TG Portfolio

2 nd Year TG Portfolio 2 nd Year TG Portfolio 2016-2017 Inside you will find: What is required of you for each portfolio sheet. An assessment rubric for each portfolio sheet to guide you towards maximum learning. You will need

More information

TEKSING TOWARD STAAR MATHEMATICS GRADE 6. Student Book

TEKSING TOWARD STAAR MATHEMATICS GRADE 6. Student Book TEKSING TOWARD STAAR MATHEMATICS GRADE 6 Student Book TEKSING TOWARD STAAR 2014 Six Weeks 1 Lesson 1 STAAR Category 1 Grade 6 Mathematics TEKS 6.2A/6.2B Problem-Solving Model Step Description of Step 1

More information

MATHEMATICS SCHEME OF WORK

MATHEMATICS SCHEME OF WORK For use with STP Caribbean Mathematics 3 rd Edition MATHEMATICS SCHEME OF WORK Teacher: Mr. Ganesh Pulchan Head of Department: Mr. Anthony Hosein Term II 09/1/2017 07/04/2017 No of weeks : 13 Forms : 1P/J/M

More information

Let s Get This Started!

Let s Get This Started! Lesson 1.1 Assignment 1 Name Date Let s Get This Started! Points, Lines, Planes, Rays, and Line Segments 1. Identify each of the following in the figure shown. a. Name all points. W X p b. Name all lines.

More information

Grade 4 + DIGITAL. EL Strategies. DOK 1-4 RTI Tiers 1-3. Flexible Supplemental K-8 ELA & Math Online & Print

Grade 4 + DIGITAL. EL Strategies. DOK 1-4 RTI Tiers 1-3. Flexible Supplemental K-8 ELA & Math Online & Print Standards PLUS Flexible Supplemental K-8 ELA & Math Online & Print Grade 4 SAMPLER Mathematics EL Strategies DOK 1-4 RTI Tiers 1-3 15-20 Minute Lessons Assessments Consistent with CA Testing Technology

More information

8.2 Slippery Slopes. A Solidify Understanding Task

8.2 Slippery Slopes. A Solidify Understanding Task SECONDARY MATH I // MODULE 8 7 8.2 Slippery Slopes A Solidify Understanding Task CC BY https://flic.kr/p/kfus4x While working on Is It Right? in the previous module you looked at several examples that

More information

Algebra/Geometry Institute Summer 2004

Algebra/Geometry Institute Summer 2004 Algebra/Geometry Institute Summer 2004 Lesson Plan 1 Faculty Name: Janice Walker School: Greenville-Weston, Greenville, MS Grade Level: Geometry 9 10 Reflections 1 Teaching objective(s): Students will

More information

Unit 1 NOTES Honors Math 2 18

Unit 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 information

Mathematics Success Level D

Mathematics Success Level D Mathematics Success Level D T819 [OBJECTIVE] The student will be able to find a missing angle measure when two non-overlapping angles form one larger angle. [PREREQUISITE SKILLS] measuring angles with

More information

Building Concepts: Ratios Within and Between Scaled Shapes

Building Concepts: Ratios Within and Between Scaled Shapes Lesson Overview In this TI-Nspire lesson, students learn that ratios are connected to geometry in multiple ways. When one figure is an enlarged or reduced copy of another by some scale factor, the ratios

More information

ROTATIONAL & REFLECTIVE STRIP PATTERNS

ROTATIONAL & REFLECTIVE STRIP PATTERNS ROTATIONAL & REFLECTIVE STRIP PATTERNS BY SHANNON KEALOHA KAIA Describe the properties of translations, reflections, rotations and dilations and their effects on the figures. MIDDLE SCHOOL EIGHTH GRADE

More information

Name Period Date LINEAR FUNCTIONS STUDENT PACKET 5: INTRODUCTION TO LINEAR FUNCTIONS

Name Period Date LINEAR FUNCTIONS STUDENT PACKET 5: INTRODUCTION TO LINEAR FUNCTIONS Name Period Date LF5.1 Slope-Intercept Form Graph lines. Interpret the slope of the graph of a line. Find equations of lines. Use similar triangles to explain why the slope m is the same between any two

More information

Stereonet Plotting planes and lines. Boris Natalin

Stereonet Plotting planes and lines. Boris Natalin Stereonet Plotting planes and lines Boris Natalin Conventional lettering on stereonet My lettering (on the stereonet) 90 27 Lettering on the overlay Use marks that are shown by red Plotting plane Plotting:

More information

Which table shows the total cost for the given number of switches ordered?

Which table shows the total cost for the given number of switches ordered? lgebra 1 Review 1 Name: ate: 1 Find the missing term.?, 48, 12, 3 288 192 336 240 2 What are the next two terms in the pattern? 3,125, 625, 125, 25,... 30, 2 5, 1 30, 1 10, 2 opyright Pearson Education,

More information

Students apply the Pythagorean Theorem to real world and mathematical problems in two dimensions.

Students apply the Pythagorean Theorem to real world and mathematical problems in two dimensions. Student Outcomes Students apply the Pythagorean Theorem to real world and mathematical problems in two dimensions. Lesson Notes It is recommended that students have access to a calculator as they work

More information

Aim #35.1: How do we graph using a table?

Aim #35.1: How do we graph using a table? A) Take out last night's homework Worksheet - Aim 34.2 B) Copy down tonight's homework Finish aim 35.1 Aim #35.1: How do we graph using a table? C) Plot the following points... a) (-3, 5) b) (4, -2) c)

More information