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G-2D-1-5

Page history last edited by Brenda Butz 6 years, 2 months ago

G.2D.1.5 Use coordinate geometry to represent and analyze line segments and polygons, including determining lengths, midpoints, and slopes of line segments.


In a Nutshell

From previous courses, students have learned about the coordinate plane system, how to locate points, graph lines and find slopes of lines.  Building upon these concepts, the Geometry course applies these skills to find the length of a segment, its midpoint and slope value.  Once these values are found, students then use this information to describe different types of polygons and eventually how to write equations of circles.

Student Actions

Teacher Actions

  • Develop Accurate and Appropriate Procedural Fluency: Students will correctly apply formulas for finding distance, midpoint, and slope to a variety of tasks.

  • Develop A Deep and Flexible Conceptual Understanding: Students will use multiple variations of given formulas to find slope, midpoint, and distance and apply them to real world problems.

  • Develop Mathematical Reasoning: Students will identify the type of problem and apply an appropriate method to solve the problem.
  • Teachers will use and connect mathematical representations between coordinate geometry and algebraic formulas about distance, midpoint and slope.

  • Teachers will build procedural fluency from conceptual understanding through application of distance, midpoint, and slope formula to real world problems.

  • Teachers will support productive struggle in learning mathematics by providing a variety of task that requires students to use multiple representations of the slope, distance and midpoint formulas.

Key Understandings

Misconceptions

  • Students understand how to use the endpoints of a line segment to determine the length, midpoint and slope of the line segment in various representations.

  • Students understand how to identify a polygon formed by coordinate points by identifying its properties using length, midpoint and slope formulas

  • Students understand how to manipulate distance, midpoint, and slope formulas and how to apply them to real world situations.

  • Students confuse signs on slope values.

  • Students use the incorrect process for slope, distance, or midpoint.

  • Students will misinterpret a  problem where the they  have to find an end point given the midpoint and the other endpoint by using the midpoint formula.

  • Students will mix the x’s and y’s, when finding the slope.

 

OKMath Framework Introduction

Geometry Grade Introduction

 

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