READY TO TEACH SM EDI ® Lessons ©2013 All rights reserved. EDI Lesson Overview 5 th Grade Math Learning Objective: We will plot and locate points on a coordinate plane. Focus Standard: 5.G.1 Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). Support Standard: SMP 3, SMP 6, SMP 7, SMP 8 Prerequisite(s): Special Instructions: Please review the animation on the Concept Development page prior to teaching. Vocabulary Academic: locate, identify, determine Content: intersection, perpendicular, axis, origin Support: Common Core Shifts in Mathematics Shift 1 Focus Shift 2 Coherence Shift 3 Fluency Shift 4 Deep Understanding Shift 5 Application Shift 6 Dual Intensity Standards for Mathematical Practice (SMPs) SMP1 Make sense of problems SMP2 Reason abstractly and quantitatively SMP3 Construct arguments and critique the reasoning of others SMP4 Model with math SMP5 Use appropriate tools SMP6 Attend to precision SMP7 Make use of structure SMP8 Look for regularity in repeated reasoning

CCSS 5 th Grade Geometry 1.0 Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Lesson to be used by EDI-trained teachers only. READY TO TEACH SM EDI ® Lessons ©2013 All rights reserved. What are we going to learn? What does locate mean? Locate means __________. CFU Students, you already know how to plot points onto a number line. Now, we will use that skill to locate and plot points on a coordinate plane. Make Connection Plot the points onto the number line below. 1 find (synonym) Vocabulary We will plot and locate 1 points on a coordinate plane. Learning Objective Activate Prior Knowledge 0510 A B A. 3 B. 6

CCSS 5 th Geometry 1.0 Plot and locate points on a coordinate plane. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved x-axis y-axis The coordinate plane is a flat surface made by the intersection 2 of two perpendicular 3 number lines. An ordered pair describes 4 the location of a point on the coordinate plane using x- and y-coordinates. On your whiteboard, write an example of an ordered pair. Which number is the x- coordinate? Which is the y- coordinate? How do you know? Which of the following is the ordered pair that identifies the location of the point T? A T B (7, 9) In your own words, what is an ordered pair? “An ordered pair is ______.” CFU Ordered Pairs on the Coordinate Plane 2 crossing (synonym) 3 crossing at a 90 degree angle 4 shows (synonym) Vocabulary Concept Development “X is the point’s distance along the x-axis.” “Y is the point’s distance along the y-axis.” – the horizontal number line. – the vertical number line. The origin is where the x-axis and y-axis intersect. (4, 5) 5 4 “Y is the point’s distance along the y-axis.” “X is the point’s distance along the x-axis.” T Animated Ordered Pair (2, 3) x and y

CCSS 5 th Geometry 1.0 Plot and locate points on a coordinate plane. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Determine 5 the x-coordinate of the point. (write) Hint: The distance along the x-axis. Determine the y-coordinate of the point. (write) Hint: The distance along the y-axis. Read the ordered pair aloud. “Point ___ is at the point (__, __)” Plot and locate points on a coordinate plane How did I/you determine the x-coordinate? How did I/you determine the y-coordinate? CFU 1 2 Skill Development/Guided Practice The coordinate plane is a flat surface made by the intersection of two perpendicular number lines. An ordered pair describes the location of a point on the coordinate plane using x- and y-coordinates. A B C D E F G H 1. Point A ( ___, ___ ) 2. Point B ( ___, ___ ) 3. Point C ( ___, ___ ) 4. Point D ( ___, ___ ) 5. Point E ( ___, ___ ) 6. Point F ( ___, ___ ) 7. Point G ( ___, ___ ) 8. Point H ( ___, ___ ) figure out Vocabulary Ordered Pair (2, 3) x and y

CCSS 5 th Geometry 1.0 Plot and locate points on a coordinate plane. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Skill Development/Guided Practice (continued) Determine the x-coordinate of the point. (write) Hint: The distance along the x-axis. Determine the y-coordinate of the point. (write) Hint: The distance along the y-axis. Plot and label the point at the correct coordinates. Plot and locate points on a coordinate plane How did I/you determine the x-coordinate? How did I/you determine the y-coordinate? How did I/you plot and label the point? CFU The coordinate plane is a flat surface made by the intersection of two perpendicular number lines. An ordered pair describes the location of a point on the coordinate plane using x- and y-coordinates. Ordered Pair (2, 3) x and y 1. Point A ( 3, 10 ) 2. Point B ( 2, 7 ) 3. Point C ( 4, 6 ) 4. Point D ( 5, 9 ) 5. Point E ( 0, 5 ) 6. Point F ( 7, 0 ) 7. Point G ( 8, 8 ) 8. Point H ( 4, 3 ) C D E F G H A B

CCSS 5 th Geometry 1.0 Plot and locate points on a coordinate plane. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Skill Development/Guided Practice (continued) T. Alice is at the theater. She would like to go to the gas station. Write directions for her. S. Felix is at the hardware store. He would like to go to the bank. Write directions for him. 1 st 2 nd 3 rd 4 th 5 th 6 th 2 nd 6 th 3 rd 4 th 5 th 1 st Bank Gas Station Hardware Store Theater Application Alice should go up 4 streets and right 1 street. How did I/you determine what the question is asking? How did I/you determine the math concept required? How did I/you determine the relevant information? How did I/you solve and interpret the problem? How did I/you check the reasonableness of the answer? CFU Felix should go up 2 streets and right 1 street. Ordered Pair (2, 3) x and y

CCSS 5 th Geometry 1.0 Plot and locate points on a coordinate plane. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Plotting and locating points on a coordinate plane will help you understand information in real life. Plotting and locating points on a coordinate plane will help you do well on tests. 1 Does anyone else have another reason why it is relevant to plot and locate points on a coordinate plane? (Pair-Share) Why is it relevant to plot and locate points on a coordinate plane? You may give one of my reasons or one of your own. Which reason is more relevant to you? Why? CFU 3 Relevance The coordinate plane is a flat surface made by the intersection of two perpendicular number lines. An ordered pair describes the location of a point on the coordinate plane using x- and y-coordinates. Plotting and locating points on a coordinate plane will help you tell where things are. 2 Information in real life is often presented in graphs on a coordinate plane. Most maps use a grid system that works like a coordinate plane. Sample Test Question: 20. Which of the following describes the point M on the graph? The point is at (4, 6). The distance of the point from the y-axis is 6. The point is at (6, 4). The distance of the point along the y-axis is 6. Yes No M

CCSS 5 th Geometry 1.0 Plot and locate points on a coordinate plane. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. What did you learn today about plotting and locating points on a coordinate plane? (Pair-Share) Use words from the word bank. Skill Closure Access Common Core Summary Closure Word Bank coordinates ordered pair axis origin point plot Determine the x-coordinate of the point. (write) Hint: The distance along the x-axis. Determine the y-coordinate of the point. (write) Hint: The distance along the y-axis. (Problem 1) Read the ordered pair aloud. “Point ___ is at the point (__, __)” (Problem 2) Plot and label the point at the correct coordinates. Plot and locate points on a coordinate plane The coordinate plane is a flat surface made by the intersection of two perpendicular number lines. An ordered pair describes the location of a point on the coordinate plane using x- and y-coordinates. 1. Point A ( ___, ___ ) Point B ( 3, 8 ) B A Alicia thinks that the coordinates of point C on the coordinate plane are (6, 4). Do you agree with her? Why or why not? C Ordered Pair (2, 3) x and y

CCSS 5 th Geometry 1.0 Plot and locate points on a coordinate plane. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Independent Practice Determine the x-coordinate of the point. (write) Hint: The distance along the x-axis. Determine the y-coordinate of the point. (write) Hint: The distance along the y-axis. Read the ordered pair aloud. “Point ___ is at the point (__, __)” Plot and locate points on a coordinate plane The coordinate plane is a flat surface made by the intersection of two perpendicular number lines. An ordered pair describes the location of a point on the coordinate plane using x- and y-coordinates. A B C D E F G H 1. Point A ( ___, ___ ) 2. Point B ( ___, ___ ) 3. Point C ( ___, ___ ) 4. Point D ( ___, ___ ) 5. Point E ( ___, ___ ) 6. Point F ( ___, ___ ) 7. Point G ( ___, ___ ) 8. Point H ( ___, ___ ) Ordered Pair (2, 3) x and y

CCSS 5 th Geometry 1.0 Plot and locate points on a coordinate plane. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Independent Practice (continued) Determine the x-coordinate of the point. (write) Hint: The distance along the x-axis. Determine the y-coordinate of the point. (write) Hint: The distance along the y-axis. Plot and label the point at the correct coordinates. Plot and locate points on a coordinate plane The coordinate plane is a flat surface made by the intersection of two perpendicular number lines. An ordered pair describes the location of a point on the coordinate plane using x- and y-coordinates. 1. Point A ( 8, 1 ) 2. Point B ( 2, 7 ) 3. Point C ( 7, 2 ) 4. Point D ( 7, 7 ) 5. Point E ( 6, 4 ) 6. Point F ( 0, 9 ) 7. Point G ( 5, 3 ) 8. Point H ( 3, 6 ) C D E F G H A B Ordered Pair (2, 3) x and y

CCSS 5 th Geometry 1.0 Plot and locate points on a coordinate plane. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. T. Marcos is at the school. He would like to go to the zoo. Write directions for him. S. Maria is at the school. She would like to go to the hospital. Write directions for her. Application Marcos should go up 3 streets and right 4 streets. Maria should go right 2 streets. Independent Practice (continued) 1 st 2 nd 3 rd 4 th 5 th 6 th 2 nd 6 th 3 rd 4 th 5 th 1 st School Zoo Park Market Hospital Ordered Pair (2, 3) x and y

CCSS 5 th Geometry 1.0 Plot and locate points on a coordinate plane. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. A B C Periodic Review 1 1. Point A ( ___, ___ ) 2. Point B ( ___, ___ ) 3. Point C ( ___, ___ ) 4. Point D ( ___, ___ ) 5. Point E ( 9, 5 ) 6. Point F ( 5, 6 ) 7. Point G ( 1, 9 ) 8. Point H ( 7, 8 ) E D F G H Access Common Core Which of the following sentences is true about the points plotted on the graph? The coordinates of point A are (3, 5). The coordinates of point B are (6, 4). The distance of point C from the y-axis is 8. The distance of point B from the x-axis is 4. Yes No A B C Plot and locate the points. Ordered Pair (2, 3) x and y

CCSS 5 th Geometry 1.0 Plot and locate points on a coordinate plane. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. A B C Q Periodic Review 2 Access Common Core 1. Point A ( ___, ___ ) 2. Point B ( ___, ___ ) 3. Point C ( ___, ___ ) 4. Point D ( 5, 1 ) 5. Point E ( 6, 7 ) 6. Point F ( 4, 2 ) E D F On the coordinate plane above, Jamie thinks that the coordinates of point Q on the coordinate plane are (4, 2). Do you agree with her? Why or why not? Silvia plotted the point (6, 7) below. Do you agree with her answer? Why or why not? Plot and locate the points. I do not agree. The coordinate for Q is (2, 4), Jamie has the ordered pair backwards. I do not agree. She plotted point (7, 6), not (6, 7). The two points are not the same. Ordered Pair (2, 3) x and y

CCSS 5 th Geometry 1.0 Plot and locate points on a coordinate plane. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. A B C 1. Point A ( ___, ___ ) 2. Point B ( ___, ___ ) 3. Point C ( ___, ___ ) 4. Point D ( 5, 10 ) 5. Point E ( 10, 5 ) 6. Point F ( 0, 7 ) Periodic Review 3 Access Common Core E D F Draw your own coordinate plane using the grid below. Be sure to label the x-axis, the y-axis, and the origin. Graph the following points: (3, 2) (2, 4) (5, 1) Plot and locate the points. x y Ordered Pair (2, 3) x and y

CCSS 5 th Geometry 1.0 Plot and locate points on a coordinate plane. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Exploring Math with Technology ResourceDescription Billy Bug’ Quest for Grub Help Billy Bug find grub (food) by locating points on the coordinate plane. Locate the Aliens Help find lost Aliens by typing in their coordinates on the coordinate plane. If links are broken, please notify us at:

CCSS 5 th Geometry 1.0 Plot and locate points on a coordinate plane. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. EDI – Cognitive, Teaching, and English Learner Strategies Learning Objective: We will plot and locate points on a coordinate plane. Elaboration Targeted Vocabulary Academic locate, identify, determine Content intersection, perpendicular, axis, origin Support Demonstration Vocabulary Strategy Multiple-Meaning Synonym locate, intersection, identify Definition determine, perpendicular, axis, origin Homophone Internal Context Clue Listen, Speak Similar Sounds WriteWriting Read Tracked Reading Comprehensible Input Cognates Contextual Clues Graphic Organizer Contextualized Definitions Pictures Language Strategies Cognitive StrategiesTeaching Strategies Content Access Strategies