Mathematics Grade 5
Strand: GEOMETRY (5.G)
Graph points on the coordinate plane to solve real-world and mathematical problems in quadrant one (Standards 5.G.1–2)
. Classify two-dimensional figures into categories based on their properties. (Standards 5.G.3–4)
Represent real-world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.
Cartesian Coordinate System
This lesson is designed to help students understand the Cartesian plane, specifically how to plot points, read coordinates and find the ratio of the rise over run for slope.
Geometry - Fifth Grade Core Guide
The Utah State Board of Education (USBE) and educators around the state of Utah developed these guides for Fifth Grade Mathematics - Geometry (5.G)
Grade 5 Mathematics Module 6: Problem Solving with the Coordinate Plane (EngageNY)
In this 40-day module, students develop a coordinate system for the first quadrant of the coordinate plane and use it to solve problems. Students use the familiar number line as an introduction to the idea of a coordinate, and they construct two perpendicular number lines to create a coordinate system on the plane. Students see that just as points on the line can be located by their distance from 0, the planes coordinate system can be used to locate and plot points using two coordinates. They then use the coordinate system to explore relationships between points, ordered pairs, patterns, lines and, more abstractly, the rules that generate them. This study culminates in an exploration of the coordinate plane in real world applications.
Graphing Points on a Coordinate Plane: Harry's Feet Compete
This Cyberchase video follows Harry as he decides to get fit and establish a workout program. He charts his progress on a graph. The classroom activity consists of a ball-balancing game in which students graph their attempts. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
Hoop Dream: Use a Diagram to Solve Real-World Math Problems
Students learn about creating diagrams and plotting points on a plane by watching these short videos about kids playing a game involving making baskets. They then play a game where they plot points on a plane. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
Horizontal and Vertical Distances on the Cartesian Graph
In this activity students place marine animals on a Cartesian graph and then determine the horizontal and vertical distance between them. The classroom activity builds on the student's understanding of distances between points on a Cartesian graph. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
IXL Game: Graph points on a coordinate plane
This game is designed to help fifth graders learn to graph points on a coordinate plane. This is just one of many online games that supports the Utah Math core. Note: The IXL site requires subscription for unlimited use.
Locating Points on the Cartesian Graph
In this activity students use logic and clues to plot the location of marine animals on a Cartesian graph. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
In this applet students move a robot through a mine field by using coordinates on the Cartesian Plane in order to remove the land mines.
Meerkat Coordinate Plane Task
The purpose of this task is for students to answer questions about a problem situation by drawing and interpreting the meaning of points that are in the first quadrant of the coordinate plane.
Simple Maze Game
By specifying coordinates on a Cartesian plane, students will practice point plotting skills in this game where they move a robot through a mine field.
The applet in this lesson plan allows the student to plot ordered pairs and understand functions.
http://www.uen.org - in partnership with Utah State Board of Education
(USBE) and Utah System of Higher Education
(USHE). Send questions or comments to USBE Specialist -
and see the Mathematics - Elementary website. For
general questions about Utah's Core Standards contact the Director
- Jennifer Throndsen .
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State of Utah. Copies of these materials may be freely reproduced
for teacher and classroom use. When distributing these materials,
credit should be given to Utah State Board of Education. These
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