KGA2 About the Math, Learning Targets, and Opportunities for Enrichment
Kindergarten Mathematics Geometry
K.G.A.2
Full Standard
Correctly name shapes regardless of their orientations or overall size.
Measurement Topic
This standard is reported on the report card in these quarters as follows:
Quarter 1 | Quarter 2 | Quarter 3 | Quarter 4 |
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Report Card Measurement Topic: Reason about shapes and their attributes. |
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About the Math
Skills and concepts below are learning goals for this standard.
- Identify shapes regardless of their orientation or overall size (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres)
- Identify shapes correctly even when their size and orientation is unusual or different.
At this level of understanding, students need to recognize shapes and begin to notice their properties. Recognizing that some shapes have three sides, four sides, no sides is an important observation. Young children need experiences with recognizing two- and three-dimensional shapes. Most materials that teach children about shapes introduce some (triangles, rectangles, and squares) in rigid ways that wind up being exemplars. Shapes should be presented in different variants and orientations. For instance, triangles should be more than equilateral and not presented with the vertex at the top. Likewise, rectangles should be introduced in a variety of ways, showing varying orientation and length of sides. As all rectangles have four straight sides and four square corners, children should be taught that a square is a special type of rectangle. Squares have four straight sides of equal lengths and square corners.
Progression of Standard within Kindergarten
This progression informs how to develop the standard within the grade level. This progression is provided by HCPSS Elementary Mathematics.
Quarter 1 | Quarter 2 | Quarter 3 | Quarter 4 |
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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.
Grade 1 |
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TASKS
These tasks can be used with small group or whole group instruction.
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Build a rectangle using AngLegs. Ask students if they know what the shape is called (rectangle). Ask students to build the same rectangle. Put several finished rectangles in a line. How do we know these are all the same? Build the same rectangle as before and add it to the line of rectangles but use a different orientation (turn it sideways). What shape is this? How do you know it is still a rectangle? Build a new rectangle with the same scale (bigger or larger) and add it to the collection of rectangles. What shape is this? How do you know if it is still a rectangle? Have students spend time building as many different rectangles as they can with the AngLegs. You can repeat this activity with triangles and squares.
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Show a variety (six to ten) of different shapes. These can be drawings or physical shapes. Tell students that you have chosen one of the shapes to be your mystery shape. Students can ask yes or no questions to figure out your mystery shape. After a student asks a question about the mystery shape, ask which shapes can be eliminated or taken away?
- Using multiple sets of attribute blocks spread out over the table, give clues to help students sort the shapes by the said attribute. (i.e.: "Find all the shapes that are blue. Now sort the blue shapes by thickness. Now sort the shapes that have 4 equal sides and not 4 equal sides. Which shape is the mystery shape.") Have students take turns giving the mystery clues by sharing color, thickness, size, and then the shape's attributes.
- Have students make a picture using pattern blocks. Have them put a folder up and tell a partner how to build the same picture by using the shape names. When the first student is finished telling the partner what shapes to use to make the picture, have them reveal their picture and compare it with their partners picture.
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 4 • Shapes
Identify Shapes Two-Dimensional and Three-Dimensional Shapes:
- Introductory Shape Lesson Links to an external site. (2D)
- 2D Shape Search Links to an external site. (2D)
- Shape Grid Search Links to an external site. (2D)
- Mark the Shapes Links to an external site. (2D)
- Let's Learn About 3D Shapes Links to an external site. (2D vs.3D)
- 3D Shape Search Links to an external site. (3D)
- Leo's Shapes Links to an external site. (2D and 3D)
Additional Tasks
These links provide instructional ideas connected to this standard.
- Shape Sequence Search Links to an external site. (Illustrative Math)
- Shape Hunt Part 1 Links to an external site. (Illustrative Math)
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.
All kindergarten teams have been provided with the resources listed below.
Book Thumbnail | Title | Reference |
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Hands-On Standards published by: Learning Resources |
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Teaching Student-Centered Mathematics by: John A. Van de Walle and Lou Ann H. Lovin |
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Rich Tasks for Multiple Means of Engagement, Expression, and Representation (UDL)
- Develop spatial sense by connecting geometric shapes to students’ everyday lives. Initiate natural conversations about shapes in the environment. Have students identify and name two- and three-dimensional shapes in and outside of the classroom and describe their relative position.
- Ask students to find rectangles in the classroom and describe the relative positions of the rectangles they see, e.g. this rectangle (a poster) is over the sphere (globe). Teachers can use an iPad to record these relationships.
- Hide shapes around the room. Have students say where they found the shape using positional words, e.g. I found a triangle UNDER the chair.
Tasks Connected to Literature
Suggested titles to support the standard can be found in the table below. Check your school library or Howard County Library System for availability, or purchase using Materials of Instruction (MOI) funds. When available, select links to view activities aligned to each title.
Changes, Changes
by Pat Hutchins
Shapes, Shapes, Shapes
by Tana Hoban
Circus Shapes
by Stuart J. Murphy
Perfect Square
by Michael Hall
Shape by Shape
by Suse MacDonald
Centers
These print resources can be used during independent or center time. These resources could also be used as lesson seeds.
- Its Not A... Download Its Not A... (HCPSS-adapted resource)
- Shape Sorting Download Shape Sorting (HCPSS-adapted resource)
PRACTICE/ASSESSMENT
These materials can be used for independent practice and/or for assessment purposes. These tasks align with the learning goals for the standard.
Assessment and Instructional Tasks
- Task 1A: K.G.A.1 & K.G.A.2 Links to an external site. and Task 1A Materials Links to an external site.
- Task 1B: K.G.A.1 & K.G.A.2 Links to an external site. and Task 1B Materials Links to an external site.
- Task 3A: K.G.A.2 Links to an external site. and Task 3A: K.G.A.2 Materials Links to an external site.
- Task 3B: K.G.A.2 Links to an external site. and Tasks 3B: K.G.A.2 Materials Links to an external site.
- Task 5: K.G.A.2 & K.G.B.5 Links to an external site.
- K.G.A.2 Assessment 1 Links to an external site.
- K.G.A.2 Assessment 2 Links to an external site.
- K.G.A.2 Assessment 3 Links to an external site.
- K.G.A.2 Assessment Recording Sheet Links to an external site.
Full Standard
Correctly name shapes regardless of their orientations or overall size.
Measurement Topic
The standard is reported on the report card through these measurement topics. Expand the measurement topic for a description of what students who meet expectation are able to do.
Kindergarten Students Learning Kindergarten Standards by Measurement Topic
Reason about shapes and their attributes
Quarter 1
- Correctly identify shapes regardless of orientation or size
KG2 Anecdotal Data Collection Tool Links to an external site.
Visit the SBIR (Standards Based Instruction and Reporting) page in Course Essentials for more information and clarification.
Rubric (for thinking and reasoning evidence)
Use this rubric for observation and constructed responses (tasks that require explanation, justification, and/or representation).
Rubric for Tasks (pdf) Links to an external site.
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.