Mathematics Pacing Resource Document
4.G.2
Standard: 4.G.2: Recognize and draw lines of symmetry in two-dimensional figures. Identify figures that have lines of symmetry.
Teacher Background Information:
Students need experiences with figures which are symmetrical and non-symmetrical. Figures include both regular and non-regular polygons. Folding
cut-out figures will help students determine whether a figure has one or more lines of symmetry.
This standard only includes line symmetry not rotational symmetry.
If a shape can be folded on a line so that the two halves match, then it is said to have line symmetry (or mirror symmetry). Notice that the fold line is actually a
line of reflection—the portion of the shape on one side of the line is reflected onto the other side, demonstrating a connection between line symmetry and
transformations (flip).
Example:
For each figure, draw all of the lines of symmetry. What pattern do you notice? How many lines of symmetry do you think there would be for regular
polygons with 9 and 11 sides. Sketch each figure and check your predictions.
 Regular polygons with an odd number of sides have lines of symmetry that go from a midpoint of a side through a vertex.
Process Standards to Emphasize with Instruction of 4.G.2:
4.PS.3: Construct viable arguments and critique the reasoning of others.
4.PS.4: Model with mathematics.
4.PS.5: Use appropriate tools strategically.
4.PS.6: Attend to precision.
4.PS.8: Look for and express regularity in repeated reasoning.
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
4.G.2
Standard: 4.G.2: Recognize and draw lines of symmetry in two-dimensional figures. Identify figures that have lines of symmetry.
Lesson Plans/Print Activities:
 Math Expressions
o U2 Lesson 1:
o U4 Lesson 4:

https://www.engageny.org/resource/grade-4-mathematics-module-4-topic-d-lesson-12
Recognize lines of symmetry for given two-dimensional figures; identify line-symmetric figures
and draw lines of symmetry.

https://www.engageny.org/resource/grade-4-mathematics-module-4-topic-d-lesson-14 Define
and construct triangles from given criteria. Explore symmetry in triangles.

https://www.engageny.org/resource/grade-4-mathematics-module-4-topic-d-lesson-16
Reason about attributes to construct quadrilaterals on square or triangular grid paper.

http://illuminations.nctm.org/Lesson.aspx?id=1249
NCTM Illuminations Planning and Making a Mini-Quilt

http://illuminations.nctm.org/Lesson.aspx?id=1800
NCTM Illuminations Finding Lines of Symmetry

http://www.ck12.org/geometry/Lines-of-Symmetry/

https://learnzillion.com/lesson_plans/477 Identify line-symmetric figures by folding into
matching parts.

https://learnzillion.com/lesson_plans/478 Draw symmetrical figures by creating matching
parts.
Indianapolis Public Schools
Web-based Practice:

http://www.innovationslearning.
co.uk/subjects/maths/activities/y
ear3/symmetry/shape_game.asp
Symmetry Game

http://www.eduplace.com/kids/mw/practice/
quiz.html?qzid=hmm05_ep/gr4/1704&qseq=0
,6,4,7,1,12,9,5,11,3&at=0&curq=0&score=0&U
NIT=6 Symmetry Quiz

http://gwydir.demon.co.uk/jo/symmetry/inde
x.htm Online Practice (not just polygons)

http://www.crickweb.co.uk/assets/resources/
flash.php?&file=Symm Symmetry Sort

https://learnzillion.com/lessonsets/426
Recognize and draw lines of symmetry and
line-symmetric figures
Curriculum and Instruction
Mathematics Pacing Resource Document
4.G.2
Item Bank:
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Indianapolis Public Schools
Curriculum and Instruction