General Information
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.
Test Item Specifications
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.
No
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: | Grade Four Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current)) |
5015060: | Physical Education - Grade 4 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 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 - 2024, 2024 and beyond (current)) |
5020110: | STEM Lab Grade 4 (Specifically in versions: 2016 - 2022, 2022 - 2024, 2024 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 - 2024, 2024 and beyond (current)) |
5012015: | Foundational Skills in Mathematics 3-5 (Specifically in versions: 2019 - 2022, 2022 - 2024, 2024 and beyond (current)) |
Related Resources
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! |
Problem-Solving Tasks
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. |
Student Resources
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! |
Problem-Solving Tasks
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. |
Parent Resources
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. |
Problem-Solving Tasks
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. |