Solve real-world and mathematical problems by graphing points in all
four quadrants of the coordinate plane. Include use of coordinates and
absolute value to find distances between points with the same first
coordinate or the same second coordinate.
When students work with rational numbers in the coordinate plane to solve problems, they combine and consolidate elements from the other standards in this cluster.
| Name |
Description |
| Coding Geometry Challenge # 16, 18 & 19 | This set of geometry challenges focuses on creating a variety of polygons using the coordinate plane as students problem solve and think as they learn to code using block coding software. Student will need to use their knowledge of the attributes of polygons and mathematical principals of geometry to accomplish the given challenges. The challenges start out fairly simple and move to more complex situations in which students can explore at their own pace or work as a team. Computer Science standards are seamlessly intertwined with the math standards while providing “Step it up!” and “Jump it up!” opportunities to increase rigor. |
| Raja Rangoli | Rangoli is a traditional Indian art that is used in decorating the entrance of the house to welcome guests. In this activity students will use the concept of lines of symmetry to select the best rangoli design for a school event.
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 |
| 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. |
| 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. |
| 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. |
| Dig It! (A Thematic Integrated Geology Unit) | This lesson (2 parts) is an engaging way to strengthen student understanding of the Law of Superposition and evidence of Earth's changes over time. Students will excavate "fossils" from plastic tubs in class and then have the option of a larger outside excavation. The lesson not only supports science benchmarks but Math and Language Arts Standards as well and has an optional Social Studies extension. Materials are required but can be easily obtained and are reusable year after year. The more imagination you put into setting the context, the more powerful the lesson's outcome. |
