4.G.1 - About the Math, Learning Targets, and Rigor

Full Standard

Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.

Measurement Topic

This standard is reported on the report card in these quarters as follows:

Learning Target

• Identify points, lines, line segments, rays, angles, parallel lines, and perpendicular lines.
• Draw points, lines, line segments, rays, angles, parallel lines, and perpendicular lines.

About the Math

Points, lines, segments, rays, and angles are the building blocks of the geometry. Point and line are undefined terms because they do not have definitions. We can understand these terms by thinking of examples of what a point and line might look like. A point can be a tip of a pencil; it has position but no dimension. Euclid described a line by saying that through any two points there is always a line and every line contains at least two points. Line segment is part of a line and it contains two endpoints meaning it has a beginning and endpoints. A line contains an infinite number of points and has no endpoints and goes on and on forever. A ray is part of a line that has one endpoint and extends forever in only one direction. Parallel lines are lines that never cross and are the same distance apart. Perpendicular lines intersect to form right angles. Essential vocabulary for this standard includes: point, line, line segment, ray, parallel lines, perpendicular lines, intersecting lines, and endpoint. Visit the online dictionary Links to an external site. for vocabulary support.

Progression of Standard within Grade 4

This progression informs how to develop the standard within the grade level. This progression is provided by HCPSS Elementary Mathematics.

Progression of this Standard Across Grades

This progression is informed by the Achieve the Core Coherence Map Links to an external site.. Information is not the complete standard.

TASKS

These tasks can be used with small group or whole group instruction. 

• Define important vocabulary for the standard (see About the Math) on an anchor chart. Provide students with the opportunity to walk around the classroom, building, and/or school grounds to find real-life examples of each of the geometric terms. For example, students may identify dots on the carpet as points or ceiling tracks as parallel/perpendicular lines.
• Look at these pictures. (to the right)
  • What points, line segments, rays, angles, parallel lines, and perpendicular lines do you see?
  • Do you see any two-dimensional figures?
• Why do you think points, lines, line segments, rays, angles, parallel lines, and perpendicular lines are considered to be the building blocks of geometry?
• Where in life might you find parallel lines? Where might you find perpendicular lines?
• Using one rubber band on a geoboard, create a square using the corner pegs. If you were to only move one of the corners, what other shapes could you make? How many different shapes can you make using one rubber band on the geoboard?

SLIDE-BASED TASKS 

  These links are HCPSS created instructional tasks. These tasks are provided in Google slides. These tasks should be used for inspiration and resources, but instruction should start with students having the opportunity to engage with the math first (often involving physical and/or visual models) followed by discussion and explicit instruction to ensure student understanding.

Additional Tasks 

  These links provide instructional ideas connected to this standard. 

• The Geometry of Letters Links to an external site. (Illustrative Math)
• What's the Point? Links to an external site. (Illustrative Math) 
• Geometry Download Geometry
  PPT, Geometry Activities Download Geometry Activities
• Between the Lines Download Between the Lines
  (Lesson Seed)
• Figure Riddle Download Figure Riddle
  (Lesson Seed)
• Traveling with Angles Download Traveling with Angles
  (Utah Core Academy Lesson)
• Angle Animals Download Angle Animals
  (Utah Core Academy Lesson)
• Geometry Biomes Download Geometry Biomes
  (Utah Core Academy Lesson)
• What Makes a Shape? Links to an external site. (Georgia Department of Education, pg. 13-17)
• Angle Shape Sort Links to an external site. (Georgia Department of Education, pg. 18-23) ** same file as link above**
• Be an Expert! Links to an external site.(Georgia Department of Education, pg. 28-33) ** same file as 2 links above**

Tasks From Print Resources

  These publications have been provided for each school. They are typically stored in team closets or the media center. Check with your team leader if you cannot find them. 

Print Resources

Book Thumbnail	Book Title	Grade	Pages
	Teaching Student-Centered Mathematics	3-5	Can You Make It?, Activity 8.5, Page 217
	Hands on Standards	5-6	60, 76
	Brain-Compatible Activities for Mathematics	4-5	82-86
	20 Thinking Questions for Geoboards	3-6	2, 14, 22
	Super Source Geoboards	5-6	42, 66
	Math In Practice Teaching Fourth-Grade Math	4	Module 14

Centers

  These print resources can be used during independent or center time. These resources could also be used as lesson seeds.

• Copy My Angle Download Copy My Angle
  (HCPSS-adapted print resource)
• Geoboard Angles Download Geoboard Angles
  (HCPSS-adapted print resource)
• Geoboard  ABCs Download Geoboard  ABCs
  (HCPSS-adapted print resource)
• Line Segments on Geoboards Download Line Segments on Geoboards
  (HCPSS-adapted print resource)

INDEPENDENT PRACTICE/HOMEWORK/ASSESSMENT

  These resource sheets can be used for independent practice, homework, or assessment. They are intended to reinforce procedures and concepts. They should not be used as a source of direct instruction or whole-group practice.

• Lines, Segments, Rays, Points and Angles a Links to an external site.
• Lines, Segments, Rays, Points and Angles b Links to an external site.
• Identify Rays and Draw Segments, an Acute Angle, and Perpendicular Lines Links to an external site.
• Identify Angle Type and Draw/Explain Perpendicular Segments Links to an external site.
• Identify and Compare Angle Types in Given Shapes Links to an external site.
• Identify and Describe Parallel Segments in Given Shapes Links to an external site.
• Identify and Create Right Angles Links to an external site.

Learning Targets

• Identify points, lines, line segments, rays, angles, parallel lines, and perpendicular lines.
• Draw points, lines, line segments, rays, angles, parallel lines, and perpendicular lines.

Learning targets identify what students should be able to do.  This rubric can be applied to tasks and observations for assessment and/or grading. 

Rubric for Tasks Links to an external site.

Visit the SBIR (Standards Based Instruction and Reporting) tab in Course Essentials for more information and clarification. There you will find the measurement topic crosswalk, report card comments, links to professional learning/resources and guidance.