Standard 1 : Identify and analyze two- and three-dimensional figures based on their defining attributes.



This document was generated on CPALMS - www.cpalms.org


General Information

Number: MA.1.GR.1
Title: Identify and analyze two- and three-dimensional figures based on their defining attributes.
Type: Standard
Subject: Mathematics (B.E.S.T.)
Grade: 1
Strand: Geometric Reasoning

Related Benchmarks

This cluster includes the following benchmarks
Code Description
MA.1.GR.1.1: Identify, compare and sort two- and three-dimensional figures based on their defining attributes. Figures are limited to circles, semi-circles, triangles, rectangles, squares, trapezoids, hexagons, spheres, cubes, rectangular prisms, cones and cylinders.
Clarifications:
Clarification 1: Instruction focuses on the defining attributes of a figure: whether it is closed or not; number of vertices, sides, edges or faces; and if it contains straight, curved or equal length sides or edges.

Clarification 2: Instruction includes figures given in a variety of sizes, orientations and non-examples that lack one or more defining attributes.

Clarification 3: Within this benchmark, the expectation is not to sort a combination of two- and three-dimensional figures at the same time or to define the attributes of trapezoids.

Clarification 4: Instruction includes using formal and informal language to describe the defining attributes of figures when comparing and sorting.

MA.1.GR.1.2: Sketch two-dimensional figures when given defining attributes. Figures are limited to triangles, rectangles, squares and hexagons.
MA.1.GR.1.3: Compose and decompose two- and three-dimensional figures. Figures are limited to semi-circles, triangles, rectangles, squares, trapezoids, hexagons, cubes, rectangular prisms, cones and cylinders.
Clarifications:
Clarification 1: Instruction focuses on the understanding of spatial relationships relating to part-whole, and on the connection to breaking apart numbers and putting them back together.

Clarification 2: Composite figures are composed without gaps or overlaps.

Clarification 3: Within this benchmark, it is not the expectation to compose two- and three- dimensional figures at the same time.

MA.1.GR.1.4: Given a real-world object, identify parts that are modeled by two- and three-dimensional figures. Figures are limited to semi-circles, triangles, rectangles, squares and hexagons, spheres, cubes, rectangular prisms, cones and cylinders.


Related Access Points

This cluster includes the following access points.

Access Points

Access Point Number Access Point Title
MA.1.GR.1.AP.1: Sort and identify two- or three-dimensional figures based on their defining attributes. (e.g., number of sides, vertices, edges, faces, etc., rather than color, orientation or size). Figures are limited to circles, semi-circles, triangles, rectangles, squares, trapezoids, hexagons, spheres, cubes, rectangular prisms, cones and cylinders.
MA.1.GR.1.AP.2: Produce two-dimensional figures when given defining attributes. Figures are limited to triangles, rectangles and squares.
MA.1.GR.1.AP.3: Recognize that different figures can be formed by putting together smaller two- or three-dimensional figures and that smaller figures can be formed by taking apart larger two- or three-dimensional figures. Figures are limited to semi-circles, triangles, rectangles, squares, trapezoids, hexagons, cubes, rectangular prisms, cones and cylinders.
MA.1.GR.1.AP.4: Explore real-world objects with parts that can be modeled by a given two- or three-dimensional figure. Figures are limited to semi-circles, triangles, rectangles, squares and hexagons, spheres, cubes, rectangular prisms, cones and cylinders.


Related Resources

Vetted resources educators can use to teach the concepts and skills in this topic.

Original Student Tutorials

Name Description
Sorting Shapes:

Learn to sort and identify two-dimensional and three-dimensional shapes in this carnival-themed interactive tutorial.

Shape Sleuths: Rectangles and Squares:

Help find clues to identify rectangles and squares and their defining attributes in this interactive tutorial.

Circus Fun: The Search for Circles:

Learn the attributes, or characteristics, of a circle in this interactive tutorial.

The Search for Shapes: Exploring Hexagons:

Help find hexagons based on their defining attributes for King Geo in this interactive tutorial. Learn what makes a hexagon a hexagon.

This is part of a series on the defining attributes of shapes. Click the links below.

Shape Sleuths: Hexagons:

Learn about the defining attributes of hexagons in this interactive tutorial series about shapes.

Click below to learn about other shapes.

Shape Sleuths: Triangles:

Learn about the defining attributes of triangles in this interactive tutorial series about shapes.

Click below to learn about other shapes.

The Shape Factory with Robbie the Robot:

Learn to combine simple shapes to compose larger shapes with Robbie the Robot in this interactive tutorial.

Formative Assessments

Name Description
Which of These are Cubes?:

Students are shown a set of three-dimensional figures and are asked to identify the cubes. In addition, they are asked to explain why the other figures are not cubes.

Hexagonal Tiles:

Students examine a picture of hexagonal tiles and draw a model of a tile.

Turning a Square:

Students are shown a square in various orientations and asked if it is still a square.

Spheres and Circles:

Students determine if a globe and a circle are two-dimensional or three-dimensional and explain their reasoning.

Is it Still a Rectangle?:

Students discuss the defining and non-defining attributes of rectangles.

Is it Plane or Solid?:

Students examine a rectangle and a rectangular prism to discuss the similarities and differences.

Draw Triangles:

Students draw two triangles and are prompted to describe the triangles in terms of defining attributes.

Fill in the Missing Part:

Students view a composite shape with a missing piece and identify shapes that can fill in the space.

Cubes and Prisms:

Students compare a cube to a rectangular prism and discuss the similarities and differences.

Composing a Trapezoid:

Students use triangles to compose a trapezoid.

Compose Shapes with Triangles and a Trapezoid:

Students compose new shapes from equilateral triangles and a trapezoid.

Compose Shapes With Triangles:

Students join right triangles together to compose a rectangle and then use the rectangle to compose a new shape. Students describe this new shape made from the composite shape.

Compose a Hexagon:

Students use triangles to compose a hexagon.

Comparing a Cylinder to a Circle:

Students compare the outline of the circular base of a cylinder to the cylinder itself.

Attributes of a Hexagon:

Students draw two hexagons and are asked to justify their drawings.

Compare Hexagons:

Students compare two hexagons and describe how they are alike and how they are different.

Building With Three Dimensional Shapes:

Students use different three dimensional shapes to compose a composite shape.

 

Note: This task includes the use of triangular prisms.

Lesson Plans

Name Description
Exploring Machine Learning to Train an AI Model:

Students will explore Artificial Intelligence (AI) and Machine Learning (ML) and pretrain a model to recognize and identify objects, including geometric shapes and aircraft. They will used unplugged activities to mimic sorting and classification of the objects using their prior knowledge and then make connections to human learning and Machine Learning. Students will then problem solve and propose solutions using an iterative process to improve the ML model to better recognize the objects. This lesson is an integrated Computer Science, Science and Math lesson designed for students in K-2 to apply math and science content knowledge while exploring and using computational thinking like people in Computer Science careers do.

Are You a Responsible Sorter and Citizen?:

Students will identify and sort three-dimensional figures by their attributes while demonstrating and identifying qualities of responsible citizenship.

Understanding Polygons:

This is a simple and fun activity that is great to incorporate into your geometry unit. As you read "The Greedy Triangle" aloud, the students "create" each shape with marshmallows and pretzel sticks - as you are reading the story, they complete a sheet in which they write the name of each shape, draw the shape, and record the number of sides and vertices each shape has.

Puzzled by Pattern Blocks!:

In this lesson, the students will use two-dimensional pattern blocks to compose new shapes and fill in composite outlines of shapes.

Shape Identifying and Sketching:

In this lesson students will describe attributes of triangles, rectangles, squares, and hexagons and identify these shapes by their attributes. Given the name of one of these shapes, students will use their knowledge of the shape's attributes to represent the shape with a sketch.

Life Jackets:

In this Model Eliciting Activity, MEA, the students are to decide what criteria is the most important for a company to consider when choosing life jackets. Students will use tally charts with data about comfort and visibility as well as information provided on 3D figures that can be used to model the life jackets.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx

The Greedy Shapes:

The lesson Greedy Shapes will give opportunities for students to use their knowledge of attributes of shapes (number of sides, sides of equal length, number of vertices, shapes that are closed or not, curved or straight edges) to sketch triangles, rectangles, squares, and hexagons. 

Being Shapely!:

In this lesson, students will work collaboratively to identify and sketch shapes with defining and non-defining attributes.

Fun with Shapes:

In this lesson students explore the composing of new shapes from other two-dimensional shapes. The students will utilize math benchmarks as they analyze math solutions and explain their solutions. Since the lesson uses composing, it is also a good lesson to use to show decomposing (taking a shape apart).

Quilt Squares:

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx

Students will use pattern blocks to create a quilt square for the Quick Quilters Society. They will have to consider information on a data chart to help them create their squares. They will have to add up the cost to make their square, too.

Shape Creator:

In this lesson, students will be taking their knowledge of two-dimensional shapes and applying it to recognizing combinations of shapes in real-world objects. They will also sketch these shapes and use them to model real-world objects.

Composite Creature:

The students will use pattern blocks to build and draw new composite geometric shapes, ultimately using composite shapes to form a creature.

I'll Share With You:

This lesson focuses on the beginning understanding of fractions through fair-sharing. Students will partition circles and rectangles into 2 and 4 equal-sized parts and be able to describe these parts using appropriate language such as halves and fourths.

Perspectives Video: Teaching Ideas

Name Description
Classifying Squares and Rectangles:

Unlock an effective teaching strategy for classifying squares and rectangles in this Teacher Perspectives video for educators.

Connecting Geometry to Numbers:

Unlock an effective teaching strategy for connecting geometry and numbers in order to build number sense in this Teacher Perspectives video for educators.

Double Bubble Diagram to Compare Math Concepts:

Unlock an effective teaching strategy for helping students make connections in mathematics using the Double Bubble Diagram in this Teacher Perspectives video for educators.

Problem-Solving Tasks

Name Description
Overlapping Rectangles:

The purpose of this task is to give students an opportunity to compose and decompose polygons to make rectangles. This is a challenging problem for first graders and it would be inappropriate to use it as an assessment.

Make Your Own Puzzle:

The purpose of this task is to give students a hands-on experience with composing and decomposing geometric figures and is meant as an instructional task.

Counting Squares:

The purpose of this task is to give students an opportunity to compose and decompose squares. This is a challenging problem for first graders and it would be inappropriate to use it as an assessment. However, if presented as a brainteaser it can be useful for giving the students practice in recognizing squares and stimulate interest as students compete to try to find the most squares.



Student Resources

Vetted resources students can use to learn the concepts and skills in this topic.

Original Student Tutorials

Title Description
Sorting Shapes:

Learn to sort and identify two-dimensional and three-dimensional shapes in this carnival-themed interactive tutorial.

Shape Sleuths: Rectangles and Squares:

Help find clues to identify rectangles and squares and their defining attributes in this interactive tutorial.

Circus Fun: The Search for Circles:

Learn the attributes, or characteristics, of a circle in this interactive tutorial.

The Search for Shapes: Exploring Hexagons:

Help find hexagons based on their defining attributes for King Geo in this interactive tutorial. Learn what makes a hexagon a hexagon.

This is part of a series on the defining attributes of shapes. Click the links below.

Shape Sleuths: Hexagons:

Learn about the defining attributes of hexagons in this interactive tutorial series about shapes.

Click below to learn about other shapes.

Shape Sleuths: Triangles:

Learn about the defining attributes of triangles in this interactive tutorial series about shapes.

Click below to learn about other shapes.

The Shape Factory with Robbie the Robot:

Learn to combine simple shapes to compose larger shapes with Robbie the Robot in this interactive tutorial.

Problem-Solving Tasks

Title Description
Overlapping Rectangles:

The purpose of this task is to give students an opportunity to compose and decompose polygons to make rectangles. This is a challenging problem for first graders and it would be inappropriate to use it as an assessment.

Counting Squares:

The purpose of this task is to give students an opportunity to compose and decompose squares. This is a challenging problem for first graders and it would be inappropriate to use it as an assessment. However, if presented as a brainteaser it can be useful for giving the students practice in recognizing squares and stimulate interest as students compete to try to find the most squares.



Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this topic.

Problem-Solving Tasks

Title Description
Overlapping Rectangles:

The purpose of this task is to give students an opportunity to compose and decompose polygons to make rectangles. This is a challenging problem for first graders and it would be inappropriate to use it as an assessment.

Make Your Own Puzzle:

The purpose of this task is to give students a hands-on experience with composing and decomposing geometric figures and is meant as an instructional task.

Counting Squares:

The purpose of this task is to give students an opportunity to compose and decompose squares. This is a challenging problem for first graders and it would be inappropriate to use it as an assessment. However, if presented as a brainteaser it can be useful for giving the students practice in recognizing squares and stimulate interest as students compete to try to find the most squares.