Coordinate Plane Unit Plan Outline 1. Unit Goals This unit will provide students to opportunity to explore uses of the coordinate plane system. Students will discover the parts of the coordinate plane (x-axis, y-axis, origin, quadrants) and learn how to plot points. As students become familiar with the coordinate plane, they will use their knowledge to graph linear functions and apply transformations to geometric shapes. 2. State Standards and Learning Objectives At the completion of this unit, students will be expected to: Identify parts of the coordinate plane Plot points on the coordinate plane Graph linear functions using slope and y-intercept Apply transformations to geometric shapes These objectives will address the following Standards of Learning provided by Virginia’s Department of Education: 6.11 The student will a) identify the coordinates of a point in a coordinate plane; and b) graph ordered pairs in a coordinate plane. 7.8 The student, given a polygon in the coordinate plane, will represent transformations (reflections, dilations, rotations, and translations) by graphing in the coordinate plane. 8.8 The student will apply transformations to plane figures 8.16 The student will graph a linear equation in two variables. 3. Characteristics of the Students This unit will be designed for middle school math students participating in pre-algebra. Students are taught in a collaborative setting which includes a variety of learning levels. A majority of students will require additional accommodations in order to adhere to their IEPs. 4. Student’s Present Level of Performance and Knowledge Prerequisites for this unit include: Using a number line to count positive and negative integers. Using basic skills to add, subtract, multiply, and divide integers. Evaluating expressions by substituting values into variables. Simplifying expressions using the Order of Operations. The students will have mastered the above prerequisites earlier in the school year. 5. Classroom Layout and Grouping of Students Instruction will take place in a traditional classroom setting. The classroom will have desks arranged in rows facing a projector and SmartBoard. Students will work individually and as a whole to complete assignments. 6. Introduction Students will play a game of “Battleship” to introduce how coordinates can represent specific locations on a grid. The discussion will lead to math’s version of a coordinate system. 7. Materials and Media Prentice Hall Mathematics: Course 3 Textbook - This is the school system’s adopted textbook for pre-algebra students. Each student has access to their own individual copy. It will provide examples and definitions that students can access when needed. It will also provide independent practice problems that will reinforce student learning. Prentice Hall Mathematics: Course 3 Workbook - This is the school system’s adopted workbook for pre-algebra students. Each student has access to their own individual copy. It provides access to independent practice problems that will be assigned as homework for students. Coordinate Plane Whiteboards - These whiteboards will allow students to quickly plot points without the need to draw their own coordinate grids. Each student desk is equipped with a whiteboard. The whiteboards will be used during whole group practice and provides a daily formative assessment. Dry erase markers - Each student will be provided a dry erase marker. The markers will be used to write student responses on the coordinate plane whiteboards. SmartBoard - The classroom will consist of one SmartBoard located in the front of the classroom. Lessons will be projected onto the board as new topics are taught. Students will be able to interact with practice problems embedded in each lesson. SmartNotebook Software - The software will be used by the teacher to create interactive lessons on the coordinate plane. Projector - The classroom will be equipped with one computer projector. It will be used to project images from the document camera, videos from the Internet, and interactive lessons onto the SmartBoard. Document Camera - The document camera will be used to display the “Battleship” game to the entire class. It can also be used to share student responses written on whiteboards to the entire class. BrainPOP Videos - The school is a current subscriber to BrainPOP. BrainPOP will provide videos on the coordinate plane. The video will be used as a conclusion for this topic. Battleship Board Game - The board game will be used to introduce locating points using coordinates. One copy of the game is available in the classroom and will be used during a whole group discussion. 8. Visuals # 1 Description of Visual Coordinate Grid displaying the x-axis, y-axis, and origin 2 Coordinate Grid outlining the quadrants 3 Counting coordinates to graph an ordered pair 4 Linear equation showing the yintercept 5 Using rise and run to calculate the slope of a linear function Purpose of Visual Will demonstrate the position of the x-axis, yaxis, and origin on the coordinate plane Will visually show students the location of the four quadrants of the coordinate plane Provides a step-by-step visual of how to plot an ordered pair from the origin Relates the constant of a linear equation to the visual of the coordinate plane Offers a visual way to calculate the slope of a line Standard VA SOL 6.11 VA SOL 6.11 VA SOL 6.11 VA SOL 8.16 VA SOL 8.16 6 Translation on a coordinate grid 7 Reflection on a coordinate grid Rotation on a coordinate grid Dilation on a coordinate grid 8 9 9. Provides a visual example of how to translate a figure. Provides a visual example of how to reflect a figure. Provides a visual example of how to rotate a figure. Provides a visual example of how to dilate a figure. VA SOL 7.8 VA SOL 8.8 VA SOL 7.8 VA SOL 8.8 VA SOL 7.8 VA SOL 8.8 VA SOL 7.8 VA SOL 8.8 Assessment and Evaluation of Learner Understanding The following assessment will be used to evaluate student learning: Formative assessments will take place daily as independent practice on the daily topic is completed. Observations during activities will provide insight to the instructor. Responses to questions given during BrainPOP video. A quiz will follow each section of the unit to evaluate student learning. A summative assessment will be given at end of the unit. 10. Relate assessment instruments to previously stated standards and/or learning objectives Independent Practice (SOL 6.11, 7.8, 8.8, 8.16) BrainPOP Responses (SOL 6.11) Coordinate Plane Quiz (SOL 6.11) Linear Function Quiz (SOL 8.16) Transformation Quiz (SOL 7.8, 8.8) Summative Assessment (SOL 6.11, 7.8, 8.8, 8.16)
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