4.G.2 - About the Math, Learning Targets, and Rigor

Grade 4 Geometry

4.G.2

About the Math

Full Standard

Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.

 

Measurement Topic

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

4th Grade Students Learning 4th Grade Standards
Quarter 1 Quarter 2 Quarter 3 Quarter 4

 

 

  

Report Card Measurement Topic: Demonstrates understanding of measurement and geometry.
3rd Grade Students Learning 4th Grade Standards
Quarter 1 Quarter 2 Quarter 3 Quarter 4

 

 

 

Report Card Measurement Topic: Demonstrates understanding of measurement, data and geometry.

 

Learning Targets

  • Describe parallel and perpendicular lines.
  • Classify two-dimensional shapes using parallel and/or perpendicular line segments.
  • Classify shapes by their angles (right angles and non-right angles).
  • Classify triangles by their angles.
  • Classify triangles by their side lengths.

 

About the Math

Content information about this standard is available here . Essential vocabulary for this standard includes: parallel, perpendicular, acute, obtuse, right, right triangle, isosceles, scalene, equilateral, and equilangular. 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 Throughout Year
Quarter 1 Quarter 2 Quarter 3 Quarter 4
   
  • Describe parallel and perpendicular lines.
  • Classify two-dimensional shapes using parallel and/or perpendicular line segments.
  • Classify triangles by their side lengths.
  • Classify shapes by their angles (right angles and non-right angles).
  • Classify triangles by their angles.
 

 

 

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.

Progression Across Grades
Grade 3 Grade 5
  • Attributes and categories of shapes ( 3.G.1 )
  • Understand attributes of categories of two-dimensional figures (5.G.3)

 

 

 

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Instructional Tasks

TASKS

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

  • Download the 2D shapes from the Resource Bank, cut and make multiple sets. Students work in groups of four with a set of 2-D Shapes. Each group begins by selecting two shapes and finding an attribute that is alike about the two shapes and something that is different. Students then select one target shape and find all other shapes that are like the shape they selected. Finally, students should create a secret sort where one of the students creates a collection of shapes that matches a specific secret rule. The other students in the group attempt to guess the rule and find additional shapes that will fit the secret rule.
  • Download the 2D shapes from the Resource Bank, cut and make multiple sets. Ask pairs/triads to sort the shapes any way they want (open sort). Ask groups to explain how they sorted. Likely a conversation about angles, sides and other attributes will occur. If needed, you can specify how you want the students to sort to bring about that discussion.
  • Bobby says that all equilateral triangles must also be acute triangles. Is he correct? Justify your answer.
  • Can you draw a right triangle with one of the other angles being obtuse? Try it. Why or why not?
  • Do all quadrilaterals have to have two sets of parallel lines? Draw figures that would either prove this to be true or false.
  • Can you draw a pentagon with two right angles? Can you draw a hexagon with two right angles? Compare your shapes with a neighbor.
  • What geometric shapes contain parallel lines? What shapes contain perpendicular lines? Draw examples to support your answers.
  • Is a square a rectangle? Is a rhombus a parallelogram? Is a rhombus always a square? Why or why not?
  • Can you draw a pentagon with two right angles? Can you draw a hexagon with two right angles? Compare your shapes with a neighbor.
  • Do 2 triangles always make a quadrilateral?
  • Using two triangles, how many different polygons can you make? Sketch and name them.
  • Using the seven tangram pieces, can you make a square? a rectangle? a parallelogram? a trapezoid? a triangle? (all are possible from using the 7 tangram pieces for each shape)

 

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.

Module 14 • Geometry and Angles

Classify two-dimensional shapes:

 

 

Additional Tasks 

These links provide instructional ideas connected to this standard. 

 

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

Shape Sorts, Activity 8.1, Page 212
What's my Shape, Activity 8.2, Page 213
Can you Make it?, Activity 8.5, Page 217
Mystery Definition, Activity 8.6, Page 224 
Property Lists for Quadrilaterals, Activity 8.8, Page 226 

 


 
Hands on Standards 3-4

66-67 (Plane Shapes)

68-69 (Attributes of Geometric Shapes)

70-71 (Spatial Visualization)

84-85 (Tangram Puzzles)

Math In Practice

Teaching Fourth-Grade Math

 4

Module 14

 

 

 

 

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Independent Work

Centers

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

 

 

 

 

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.

 

 

 

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Assessment

Learning Targets

rubric

  • Describe parallel and perpendicular lines.
  • Classify two-dimensional shapes using parallel and/or perpendicular line segments.
  • Classify shapes by their angles (right angles and non-right angles).
  • Classify triangles by their angles.
  • Classify triangles by their side lengths.

 

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

 

 

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.  

 

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 This course content is offered under a CC Attribution Non-Commercial Share Alike Links to an external site. license. Content in this course can be considered under this license unless otherwise noted.