MAFS.1.G.1.2Archived Standard

loading spinner
Export Print
Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape, and compose new shapes from the composite shape.
General Information
Subject Area: Mathematics
Grade: 1
Domain-Subdomain: Geometry
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Reason with shapes and their attributes. (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 Adopted or Revised: 02/14
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived

Related Courses

This benchmark is part of these courses.
5012030: Mathematics - Grade One (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7712020: Access Mathematics Grade 1 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
5001020: Art - Grade 1 (Specifically in versions: 2014 - 2015, 2015 - 2019, 2019 - 2022, 2022 and beyond (current))
5020080: STEM Lab Grade 1 (Specifically in versions: 2016 - 2022, 2022 and beyond (current))
7701025: Access Art Grade 1 (Specifically in versions: 2018 - 2019, 2019 - 2023, 2023 and beyond (current))
5012005: Foundational Skills in Mathematics K-2 (Specifically in versions: 2019 - 2022, 2022 and beyond (current))

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

Related Resources

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

Formative Assessments

Fill in the Missing Part:

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

Type: Formative Assessment

Composing a Trapezoid:

Students use triangles to compose a trapezoid.

Type: Formative Assessment

Compose Shapes with Triangles and a Trapezoid:

Students compose new shapes from equilateral triangles and a trapezoid.

Type: Formative Assessment

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.

Type: Formative Assessment

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.

Type: Formative Assessment

Lesson Plans

Build a New Shape:

Build a New Shape is a lesson for building composite shapes from triangle(s), square(s) and trapezoid(s). This lesson uses a story and certain pattern block manipulative to help students to gain this skill.

Type: Lesson Plan

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.

Type: Lesson Plan

Life Jackets:

In this MEA the students are to decide what criteria is the most important for a company to consider when choosing life jackets. Students will use data tables of qualitative information to solve the problem.

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. Click here to learn more about MEAs and how they can transform your classroom.

Type: Lesson Plan

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).

Type: Lesson Plan

Quilt Squares:

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.

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. Click here to learn more about MEAs and how they can transform your classroom.

Type: Lesson Plan

Composite Creature:

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

Type: Lesson Plan

Shape Detectives:

In this hands-on lesson, students will become Shape Detectives as they identify the two-dimensional shapes, such as triangles, squares and rectangles, needed to build three-dimensional figures including rectangular prisms, square pyramids and cubes. The students will gain an understanding of how two-dimensional shapes are joined together to form three-dimensional figures as well as creating an edible example!

Type: Lesson Plan

Problem-Solving Tasks

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.

Type: Problem-Solving Task

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.

Type: Problem-Solving 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.

Type: Problem-Solving Task

Teaching Ideas

Polygons and Shapely Lines:

This activity gives students practice drawing straight lines with a ruler and looking for and categorizing shapes, for example, by the number of sides in polygons. The Teachers' Notes page includes suggestions for implementation, discussion questions and ideas for extension.

Type: Teaching Idea

Shape Hunt:

To give students opportunities to recognize, describe, build, and explore shapes in many different contexts.

Type: Teaching Idea

Virtual Manipulatives

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.

Type: Virtual Manipulative

Shape Cutter:

This virtual manipulative allows students to draw geometric shapes and then decompose and recompose them into other shapes, using slides, turns, and flips to cut and move pieces around.

Type: Virtual Manipulative

STEM Lessons - Model Eliciting Activity

Life Jackets:

In this MEA the students are to decide what criteria is the most important for a company to consider when choosing life jackets. Students will use data tables of qualitative information to solve the problem.

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. Click here to learn more about MEAs and how they can transform your classroom.

Quilt Squares:

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.

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. Click here to learn more about MEAs and how they can transform your classroom.

MFAS Formative Assessments

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.

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 Shapes with Triangles and a Trapezoid:

Students compose new shapes from equilateral triangles and a trapezoid.

Composing a Trapezoid:

Students use triangles to compose a trapezoid.

Fill in the Missing Part:

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

Student Resources

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

Problem-Solving Tasks

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.

Type: Problem-Solving 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.

Type: Problem-Solving Task

Virtual Manipulatives

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.

Type: Virtual Manipulative

Shape Cutter:

This virtual manipulative allows students to draw geometric shapes and then decompose and recompose them into other shapes, using slides, turns, and flips to cut and move pieces around.

Type: Virtual Manipulative

Parent Resources

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

Problem-Solving Tasks

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.

Type: Problem-Solving Task

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.

Type: Problem-Solving 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.

Type: Problem-Solving Task

Virtual Manipulative

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.

Type: Virtual Manipulative