This cluster includes the following access points.
Vetted resources educators can use to teach the concepts and skills in this topic.
| Name |
Description |
| Graphing Points in the Plane: | Students are asked to graph points given their coordinates and describe the coordinates of graphed points. |
| Graphing on Cartesian Planes: | Students are asked to graph points given their coordinates and describe the coordinates of graphed points when the axes have different scales. |
| Polygon Grid: | Students are asked to draw a polygon given the coordinates of its vertices and to determine the length of the polygon’s diagonals. |
| Polygon Coordinates: | Students are asked to draw a polygon given the coordinates of its vertices and to determine both the lengths of sides and if any sides are parallel. |
| Fence Length: | Students are asked to draw a polygon given the coordinates of its vertices and to determine the perimeter of the polygon. |
| Patio Area: | Students are asked to draw a polygon given the coordinates of its vertices, and to determine the area of the polygon. |
| Garden Area: | Students are given coordinates of three vertices of a rectangle and asked to determine the fourth vertex and the area of the rectangle. |
| Determine the Distance: | Students are given the coordinates of three points (with the same x- or y-coordinate) and asked to determine the distance between pairs of points without graphing. |
| Point Locations: | Students are asked to compare the graphs of coordinates that are opposite in sign on a number line and in the coordinate plane. |
| Locating Quadrants: | Students are asked to determine in what quadrant or on which axis, points described algebraically, are located. |
| Garden Coordinates: | Students are given the coordinates of the vertices of a rectangle and are asked to graph the rectangle and find its perimeter. |
| Bike Lot Coordinates: | Students are asked to graph two points given their coordinates and to find the coordinates of two other points so that the four points represent the vertices of a square. |
| Name |
Description |
| Guiding Grids: Math inspired self-portraits: | Students will create a proportional self portrait from a photo using a gridded drawing method and learn how a grid system can help accurately enlarge an image in a work of art. Students will use the mathematical concepts of scale, proportion and ratio, to complete their artwork. |
| Where Will I Land?: | This is a beginning level lesson on predicting the effect of a series of reflections or a quick review of reflections for high school students. |
| Newscast Weather Report: | This activity engages the students in using data on weather conditions for a set of hurricanes to understand relationships between wind speed, air pressure, and water temperature as well as the impact of global wind and water patterns on hurricane paths. The integrated lesson involves the knowledge of a coordinate plane and its application in ocean mapping. |
| Profit Plaza: | This lesson requires students to use mathematical data and logic/reasoning to place vendors into retail spaces in a shopping plaza. Students will first rank five vendor types on their profitability (based on average sales and average overhead/upkeep costs), then place the vendor types into the 11-13 retail spaces. They are also required to find the area of each space and calculate the total leasing charges. The plans for the plaza are given on a coordinate plane, so students will need to find the lengths of horizontal and vertical line segments (using the coordinates of the endpoints) to calculate the areas of the rectangular and composite spaces.
Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought processes. MEAs follow a problem-based, student-centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEAs visit: https://www.cpalms.org/cpalms/mea.aspx |
| Mapping the School: | This project is used to help students enhance their ability to use and understand the coordinate plane by creating a map of their school. |
| Modern Math Target Practice: | The lesson uses the classroom as a coordinate plane then moves into plotting points on a graph. It culminates with a target-practice game. |
| Game Room Copy Cat: | In this lesson, students will learn to plot points in all four quadrants of the coordinate grid, create a game room using only polygons, and describe the points in hopes of having their partner draw the exact room which will be kept a secret until the end. It's all about giving and following instructions while applying an understanding of positive and negative numbers on the coordinate grid. |
| Capture the Boat - Sink the Teacher's Fleet!: | In this lesson, students learn about the four quadrants of a coordinate plane and how to plot points in those quadrants. Students also learn how to use linear equations to predict future input and output pairs. Students work together to try to sink the teacher's fleet in a Battleship-type game while the teacher tries to sink theirs first. |
| Plotting Rectangles: | Students are challenged to plot coordinates on a graph in order to create a rectangle, and then find the length of its horizontal and vertical sides using the coordinates to calculate the area and perimeter. |
| Plotting Polygons with GeoGebra: | This introductory lesson guides students through the process of graphing polygons on the coordinate plane and finding vertical and horizontal side lengths. Explicit instructions are given for teachers who are new to GeoGebra. A detailed summative assessment includes extensions and an answer key is provided. |
| Dogpound Graphing: | Students will graph ordered pairs within all four quadrants of a coordinate plane in order to complete the picture of a bulldog. |
| Exploring Rotations with GeoGebra: | This lesson will help students understand the concept of geometric rotations. The teacher/students will use a GeoGebra applet to derive the rules for rotating a point on the coordinate plane about the origin for a 90-degree, 180-degree, and a 270-degree counterclockwise rotation. |
| Coordinate Grids: The Key to the City (solving real-world problems using the coordinate grid): | This lesson contains a small group activity in which students use knowledge of graphing in a 4-quadrant coordinate grid. Students will individually solve a real-world problem to find the distance between two points on a coordinate grid. Students must utilize their knowledge of absolute value and subtracting integers to determine distances between points. |
| The Mystery of Crop Circles...on a coordinate plane: | In this lesson, students will use their knowledge of plotting points on quadrant I of the coordinate plane to figure out other coordinate pairs within quadrants II, III, and IV. Students are challenged to match description cards to the matching "map" (four-coordinate grid).
|
| Name |
Description |
| Coordinate Plane: Graphing Points Word Problem: | This Khan Academy tutorial video presentation represents a word problem's solution on a coordinate plane to determine the number of blocks walked from a home to a school. |
| Coordinate Plane: Word Problem Exercises: | This video demonstrates solving word problems involving the coordinate plane. |
| The Coordinate Plane: | Students will plot an ordered pair on the x (horizontal) axis and y (vertical) axis of the coordinate plane. |
| Coordinate Plane: | Students will become familiar with the coordinate plane. |
| Graphing Points and Naming Quadrants: | This video contains examples of plotting coordinate pairs and identifying their quadrant. |
| Coordinate Plane: Quadrants: | Students will learn how to identify the four quadrants in the coordinate plane. |
| The Cartesian Coordinate System: | The Cartesian Coordinate system, formed from the Cartesian product of the real number line with itself, allows algebraic equations to be visualized as geometric shapes in two or three dimensions. While this tutorial includes the basis of Coordinate system, it also includes ideas beyond fifth grade standards. Most likely only advanced fifth graders would find the video engaging. |
Vetted resources students can use to learn the concepts and skills in this topic.
| Title |
Description |
| Coordinate Plane: Graphing Points Word Problem: | This Khan Academy tutorial video presentation represents a word problem's solution on a coordinate plane to determine the number of blocks walked from a home to a school. |
| Coordinate Plane: Word Problem Exercises: | This video demonstrates solving word problems involving the coordinate plane. |
| The Coordinate Plane: | Students will plot an ordered pair on the x (horizontal) axis and y (vertical) axis of the coordinate plane. |
| Coordinate Plane: | Students will become familiar with the coordinate plane. |
| Graphing Points and Naming Quadrants: | This video contains examples of plotting coordinate pairs and identifying their quadrant. |
| Coordinate Plane: Quadrants: | Students will learn how to identify the four quadrants in the coordinate plane. |
| The Cartesian Coordinate System: | The Cartesian Coordinate system, formed from the Cartesian product of the real number line with itself, allows algebraic equations to be visualized as geometric shapes in two or three dimensions. While this tutorial includes the basis of Coordinate system, it also includes ideas beyond fifth grade standards. Most likely only advanced fifth graders would find the video engaging. |
Vetted resources caregivers can use to help students learn the concepts and skills in this topic.
