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# Standard #: MAFS.4.G.1.3 (Archived Standard)

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Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.

### General Information

Subject Area: Mathematics
Domain-Subdomain: Geometry
Cluster: Draw and identify lines and angles, and classify shapes by properties of their lines and angles. (Additional Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date of Last Rating: 02/14
Status: State Board Approved - Archived
Assessed: Yes

### Test Item Specifications

N/A

Assessment Limits :
Items that require constructing lines of symmetry must specify the shape category with regard to the number of sides (quadrilateral, triangle, pentagon, etc.). Items that include trapezoids must consider both the inclusive and exclusive definitions. Items may not use the term "kite" but may include the figure.
Calculator :

No

Context :

Allowable

### Sample Test Items (4)

 Test Item # Question Difficulty Type Sample Item 1 Select all the figures that have at least one line of symmetry. N/A MS: Multiselect Sample Item 2 How many lines of symmetry does the following figure have? N/A EE: Equation Editor Sample Item 3 A figure is shown.How many lines of symmetry does the figure have? N/A EE: Equation Editor Sample Item 4 Which figure has a line of symmetry? N/A MC: Multiple Choice

#### Related Courses

 Course Number1111 Course Title222 5012060: Mathematics - Grade Four (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current)) 5015060: Physical Education - Grade 4 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current)) 7712050: Access Mathematics Grade 4 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current)) 5001050: Art – Intermediate 2 (Specifically in versions: 2014 - 2015, 2015 - 2019, 2019 - 2022, 2022 and beyond (current)) 5020110: STEM Lab Grade 4 (Specifically in versions: 2016 - 2022, 2022 and beyond (current)) 7701040: Access Art Grade 4 (Specifically in versions: 2018 - 2019, 2019 - 2023, 2023 and beyond (current)) 7715040: Access Physical Education Grade 4 (Specifically in versions: 2018 - 2023, 2023 and beyond (current)) 5012065: Grade 4 Accelerated Mathematics (Specifically in versions: 2019 - 2022, 2022 and beyond (current)) 5012015: Foundational Skills in Mathematics 3-5 (Specifically in versions: 2019 - 2022, 2022 and beyond (current))

#### Formative Assessments

 Name Description Identifying and Explaining Symmetry Students are asked to determine if lines drawn on two-dimensional figures are lines of symmetry and to explain their decisions. Using Lines of Symmetry Students are asked to use a line of symmetry to complete a drawing. Additionally, they consider how to describe a line of symmetry. Line Symmetry Students are asked to identify line-symmetric figures and then draw the lines of symmetry. Squares and Lines of Symmetry Students are asked to determine how many lines of symmetry a square has by drawing the lines of symmetry. Students then consider whether all quadrilaterals have four lines of symmetry.

#### Image/Photograph

 Name Description Clipart: Geometric Shapes In this lesson, you will find clip art and various illustrations of polygons, circles, ellipses, star polygons, and inscribed shapes.

#### Lesson Plans

 Name Description ABC Symmetry Students will explore the concept of line symmetry in this lesson. Students will explore two-dimensional pictures and decide whether or not each image has symmetry. Students will also fold pre-cut capital letters to decide whether or not each letter has symmetry. Symmetrical Solutions Students will use paper cutout and geoboards to find and create lines of symmetry. Students will have the opportunity to work with a partner and independently.

#### Original Student Tutorial

 Name Description The Symmetry Sisters Save the Day Help the Symmetry Sisters save the City of Symmetry Line and the State of Arithmetic from the Radical Rat in this interactive tutorial!

 Name Description Lines of symmetry for triangles This activity provides students an opportunity to recognize these distinguishing features of the different types of triangles before the technical language has been introduced. For finding the lines of symmetry, cut-out models of the four triangles would be helpful so that the students can fold them to find the lines. Lines of symmetry for quadrilaterals This task provides students a chance to experiment with reflections of the plane and their impact on specific types of quadrilaterals. It is both interesting and important that these types of quadrilaterals can be distinguished by their lines of symmetry. Lines of symmetry for circles This is an instructional task that gives students a chance to reason about lines of symmetry and discover that a circle has an an infinite number of lines of symmetry. Even though the concept of an infinite number of lines is fairly abstract, students can understand infinity in an informal way.

#### Teaching Idea

 Name Description Same Shapes The problem challenges and extends students' spatial awareness with 2D shapes. The students are given three different irregular shapes. The goal is to divide each of them into two parts that are exactly the same shape and size.The Teacher's Notes page offers rationale, suggestions for implementation with a link to Happy Halving (cataloged separately), discussion questions, and ideas for extension and support.Teachers can print the "printable page" for students. Students could cut out shapes and fold to find the line of symmetry, use grid paper, and/or use geoboards.

#### Virtual Manipulative

 Name Description Shape Tool This virtual manipulative allows you to create, color, enlarge, shrink, rotate, reflect, slice, and glue geometric shapes, such as: squares, triangles, rhombi, trapezoids and hexagons.

#### Original Student Tutorial

 Name Description The Symmetry Sisters Save the Day: Help the Symmetry Sisters save the City of Symmetry Line and the State of Arithmetic from the Radical Rat in this interactive tutorial!

 Name Description Lines of symmetry for triangles: This activity provides students an opportunity to recognize these distinguishing features of the different types of triangles before the technical language has been introduced. For finding the lines of symmetry, cut-out models of the four triangles would be helpful so that the students can fold them to find the lines. Lines of symmetry for quadrilaterals: This task provides students a chance to experiment with reflections of the plane and their impact on specific types of quadrilaterals. It is both interesting and important that these types of quadrilaterals can be distinguished by their lines of symmetry. Lines of symmetry for circles: This is an instructional task that gives students a chance to reason about lines of symmetry and discover that a circle has an an infinite number of lines of symmetry. Even though the concept of an infinite number of lines is fairly abstract, students can understand infinity in an informal way.

#### Virtual Manipulative

 Name Description Shape Tool: This virtual manipulative allows you to create, color, enlarge, shrink, rotate, reflect, slice, and glue geometric shapes, such as: squares, triangles, rhombi, trapezoids and hexagons.

#### Image/Photograph

 Name Description Clipart: Geometric Shapes: In this lesson, you will find clip art and various illustrations of polygons, circles, ellipses, star polygons, and inscribed shapes.

 Name Description Lines of symmetry for triangles: This activity provides students an opportunity to recognize these distinguishing features of the different types of triangles before the technical language has been introduced. For finding the lines of symmetry, cut-out models of the four triangles would be helpful so that the students can fold them to find the lines. Lines of symmetry for quadrilaterals: This task provides students a chance to experiment with reflections of the plane and their impact on specific types of quadrilaterals. It is both interesting and important that these types of quadrilaterals can be distinguished by their lines of symmetry. Lines of symmetry for circles: This is an instructional task that gives students a chance to reason about lines of symmetry and discover that a circle has an an infinite number of lines of symmetry. Even though the concept of an infinite number of lines is fairly abstract, students can understand infinity in an informal way.

#### Virtual Manipulative

 Name Description Shape Tool: This virtual manipulative allows you to create, color, enlarge, shrink, rotate, reflect, slice, and glue geometric shapes, such as: squares, triangles, rhombi, trapezoids and hexagons.

Printed On:10/1/2023 3:17:49 AM
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