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Mathematics Alignment Lesson Grade 5 Quarter 2 Day 54 Common Core State Standard(s) Alignment Lesson 5.G.1 Use a pair of perpendicular number lines, Coordinate Grid Centers 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 1. Explain to students that they will rotate through a given point in the place located by using an various centers today to review the many ways to use ordered pair of numbers, called its coordinates. and interpret points on a coordinate grid. Tell them Understand that the first number indicates how far to travel from the origin in the direction of that for half of the time, they will play a game similar one axis, & the second number indicates how to “Battleship” and the other half of the time will be far to travel in the direction of the second axis, spent working on shorter activities in other centers. 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). 2. Briefly read and discuss each center, including 5.G.2 Represent real world and mathematical problems by Transparency/Blackline Master “Capture the graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points Aliens”, and its instructions so that students can ask in the context of the situation. clarifying questions. At this point, you can show students where they will work on each activity. Standards for Mathematical Practice Standard 4 Model with mathematics. 3. Split the class in half and have half of the class start Standard 6 Attend to precision. playing “Capture the Aliens”. Meanwhile the other half of the class should start on the other 3 centers. Circulate while students work to check for Materials Needed: understand and informally assess students. Give Transparencies/Blackline Masters- “Coordinate Grid – Center 1”, students about 7 – 8 minutes at each of the 3 centers. “Coordinate Grid Center 2”, Once the entire 21 – 24 minutes are up, have students “Coordinate Grid Center 3”, “Capture who were playing “Capture the Aliens” switch to the the Aliens” centers and vice versa. Rulers 4. Use the final 10 – 15 minutes of class to allow student leaders to share their answers for each center and the strategies they used when playing “Capture the Aliens”. Assessment Ask students: “How does extending the line on a line graph help you answer questions?” “What Note: Be sure to set aside different areas in the classroom for strategies are you using while playing Capture each half of the class to work (the students playing Capture the Aliens? How does knowing a lot about the Aliens should be separated from those working on the ordered pairs help you?” other 3 centers). Homework Source: Teacher Created & Previous Alignment Lesson Blackline Master, “Capture the Aliens Journal Prompt” Vocabulary Coordinate Plane – a system of coordinates formed by the perpendicular intersection of horizontal and vertical number lines. x-axis –the horizontal axis of a two-dimensional coordinate grid y-axis – the vertical axis of a two-dimensional coordinate grid ordered pair – a pair of numbers that shows the position of a point on a graph origin – the point (0,0) on a two-dimensional coordinate grid Wake County Public School System, 2012 Transparency Grade 5 Day 53 Standard 5.G.1 & 5.G.2 Coordinate Grid – Center 1 Directions: Work with a partner or small group. Take turns asking each other questions in which the answer is one of the numbers on the grid below. Rather than responding with the answer, the person answering must reply with the coordinates for the answer. For example: Student 1: “What is the product of 6 and 7?” Student 2: “(1,5)” Once the student has answered, everyone checks to make sure they are correct and then the game moves on with the next person’s turn. 5 42 72 30 45 19 14 16 4 12 20 36 49 27 28 2 3 21 13 10 24 25 35 32 32 2 55 15 81 18 48 63 72 1 56 6 64 11 54 60 4 0 1 2 3 4 5 6 7 Wake County Public School System, 2012 Transparency Grade 5 Day 53 Standard 5.G.1 & 5.G.2 Coordinate Grid – Center 2 Directions: Find the missing point(s) to create the polygon in the example given. Then, create your own challenging polygon question using the coordinate grid. Switch questions with your partner or within your group and answer each other’s questions. 1. The coordinates (1, 3) and (3,7) are two of the vertices of a quadrilateral. Name two vertices that would make this quadrilateral a rectangle. Name two vertices that would make this quadrilateral a trapezoid. Rectangle: ___________________ Trapezoid: ____________________ 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 0 2. 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 0 Wake County Public School System, 2012 Answer Key Grade 5 Day 53 Standard 5.G.1 & 5.G.2 Coordinate Grid – Center 2 – Answer Key Directions: Find the missing point(s) to create the polygon in the example given. Then, create your own challenging polygon question using the coordinate grid. Switch questions with your partner or within your group and answer each other’s questions. 1. The coordinates (1, 3) and (3,7) are two of the vertices of a quadrilateral. Name two vertices that would make this quadrilateral a rectangle. Name two vertices that would make this quadrilateral a trapezoid. Rectangle: (3,3) and (1,7) Trapezoid: one possibility (5, 7) and (7, 3) 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 0 2. Questions will vary. 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 0 Wake County Public School System, 2012 Transparency Grade 5 Day 53 Standard 5.G.1 & 5.G.2 Coordinate Grid – Center 3 Directions: 1. Use the information below to complete the table. 2. Complete the scale for each axis, then graph the order pairs created in the table. 3. Use the graph to answer the questions below. A taxi service charges $4.00 per ride, plus $2 per mile. Complete the table to show the cost of the rides. Taxi Service Cost Miles Cost (m) (c) 1 6 Cost in dollars (c) 2 3 4 8 5 6 4 2 0 1 2 3 4 5 Miles (m) 1. Extend the line on the graph. What ordered pair represents the cost of a 7-mile ride? 2. What ordered pair represents the cost of a 9-mile ride? 3. What ordered pair represents the distance of a ride if the cost of the ride is $24? 4. Imagine you extended the line on the graph even further. Would the point (48, 100) be on the line? Explain why or why not. Adapted from Math Expressions Extension Lesson 4 (Teacher Edition p. 1193) Wake County Public School System, 2012 Blackline Master Grade 5 Day 53 Standard 5.G.1 & 5.G.2 Coordinate Grid – Center 3 – Answer Key Directions: 1. Use the information below to complete the table. 2. Complete the scale for each axis, then graph the order pairs created in the table. 3. Use the graph to answer the questions below. A taxi service charges $4.00 per ride, plus $2 per mile. Complete the table to show the cost of the rides. Taxi Service Cost Miles Cost (m) (c) 1 6 Cost in dollars (c) 2 8 3 10 4 12 8 5 14 6 4 2 0 1 2 3 4 5 Miles (m) 1. Extend the line on the graph. What ordered pair represents the cost of a 7-mile ride? $18.00 2. What ordered pair represents the cost of a 9-mile ride? $22.00 3. What ordered pair represents the distance of a ride if the cost of the ride is $24? $10.00 4. Imagine you extended the line on the graph even further. Would the point (48, 100) be on the line? Explain why or why not. Yes because 48 represents the miles. 48 times 2 is 96 and 96 plus 4 is 100. 100 represents the cost therefore (48, 100) would be a point on the line. Adapted from Math Expressions Extension Lesson 4 (Teacher Edition p. 1193) Wake County Public School System, 2012 Blackline Master Grade 5 Day 53 Standard 5.G.1 & 5.G.2 DIRECTIONS Capture the Aliens Capture your opponent’s aliens before they capture yours!! Keep track of the shots Place 5 aliens on you fire at your your board (by My Gameboard opponent’s aliens and plotting the points the shots they fire at and connecting them you. 10 with a line): 1 king alien- 5 9 Shots Shots points long 8 Fired at Fired at 1 queen alien – 4 points 7 Me Opponent 1 prince alien – 3 6 points 5 1 princess alien – 3 points 4 1 servant alien – 3 2 points 2 When your opponent 1 fires at you: Mark X on “My 1 2 3 4 5 6 7 8 9 10 Gameboard” on top of the point 0 you plotted as part of the alien if he/she hits one of your aliens My Opponent’s Gameboard Mark ● on “My Gameboard” 10 when he/she 9 misses 8 Write the coordinate in the 7 table 6 When you fire at 5 your opponent: 4 Mark X (on the “My Opponents 3 Gameboard” if 2 you hit one of 1 their aliens Mark ● (on “My Opponent’s 1 2 3 4 5 6 7 8 9 10 Gameboard” 0 when you miss Write the coordinate in the table Adapted from 4th Grade (2009) Alignment Lesson Day 126 Wake County Public School System, 2012 Blackline Master Grade 5 Day 53 Standard 5.G.1 & 5.G.2 Name: __________________________________ Date:___________________________________ Capture the Aliens Journal Prompt Write a letter to a friend who has never played “Capture the Aliens”. Explain to them why they need to have a good understanding of ordered pairs to be successful. Give your friend specific strategies they could use to win the game. Wake County Public School System, 2012