M154

Coordinate Geometry

About This Badge

How do pilots keep their aircraft on course? How are algebra and geometry related? Coordinate Geometry, also known as analytic geometry, establishes a connection between geometric curves and algebraic equations. In M154 Coordinate Geometry, you will reason and use algebra to do geometry, and use geometry to do algebra. As you learn coordinate geometry, you will investigate and make sense of conic sections, produce equations and graphs for circles, ellipses, and hyperbolas, and solve simple systems algebraically and with technology systems consisting of linear and quadratic equations. Using coordinates to answer questions about shapes in the coordinate plane will strengthen your ability to compute perimeters of polygons and areas of triangles and rectangles and to determine the equation of a line parallel or perpendicular to a given line. You will strategically use technology to explore the graphs of geometric curves and the related algebraic equations. For example, when designing an architectural arch, you might use graphing technology to manipulate an equation and see the result. Coordinate Geometry is useful for careers in a variety of fields, like computer graphics in games and films, space science, aviation, and engineering.

Learning Activities and Alignment Guidance

These resources provide learning activities that can supplement traditional coursework as well as guidance for aligning coursework to this badge.

Standards M154 2024

Points of Emphasis in M154

Introduction to Alignment Guidance Final

M154 Alignment Guidance x

Learning Principles 2024

Annotated Examples M154 2024

Student-facing Assignment Templates M154

Assessment: Pre-/Post-Task

These tasks should be administered to students before launching instruction on a new badge and again once badge instruction is coming to a close. These tasks are designed to support students' understanding of what they have learned from the beginning to the end of each badge and to support teachers in making relevant, timely decisions about how they support student learning.

M154 Student Facing Pre Task

M154 Student Facing Post Task

M154 Pre Post Scoring Guide

M154 Task Analysis

M154 Task Analysis

M154 Class Summary File

M154 Class Summary File.docx

Assessment: Performance Tasks

There are two available performance tasks for this badge. Each task has a teacher guide, scoring guidance, and student versions (docx format) in English and Spanish. Where available, samples of student work are also provided.

Evidence of Learning 2024

Assessment: Portfolio Resources

IM Portfolio M154

Assessment: Professional Development Resources

M154 Baseline PL

Baseline PL Handout M154

Baseline PL Handout M154

M154 Baseline PL

Content and Practice Expectations

These resources explain the core content and practice expectations for this badge as well as how this badge aligns to content standards.