Mathematics Alignment Lesson
Grade 5 Quarter 1 Day 44
Common Core State Standard(s)
5.G.3 Understand that attributes belonging to
a category of two-dimensional figures can
also belong to all subcategories of that
category. For example, all rectangles have
four right angles and squares are rectangles,
so all squares have four right angles.
5.G.4 Classify two-dimensional figures in a
hierarchy based on properties.
Standards for Mathematical Practice
Standard 1 – Make sense of problems and
persevere in solving them.
Standard 3 - Construct viable arguments and
critique the reasoning of others.
Standard 6 - Attend to precision.
Materials Needed:


Blackline Masters, “Properties of
Parallelograms,” “Properties of
Rhombuses,” “Properties of
Rectangles,” Properties of
Squares,”
Transparency/Blackline Master, “The
Quadrilateral Family”
Chart paper and markers
Assessment
Informal:
 Assess student reasoning during group
work, independent work, and math talk.
 Journal Prompt explanation
Homework

Blackline Master- “Properties of
Quadrilaterals Journal Prompt”
Alignment Lesson
Properties of Quadrilaterals
1. Select a few sample student descriptions from last night’s
homework and discuss them with the class.
2. Divide the class into groups (the number of groups should be a
multiple of 4; the size of each group should not be too large).
3. Provide each group of students copies of one of the 4
“Properties of…” Blackline Masters (each student needs
his/her own copy on which to write). Instruct students to work
together to discuss and record answers to the questions for
their assigned quadrilateral. Circulate to assist and pose
questions during group discussion.
4. When groups have finished their discussions, provide each of
them with chart paper to record their main ideas.
5. Invite each group to post and share their charts and engage
students in Math Talk about the properties of the shapes they
discussed. Note similarities and differences between groups
with the same shape and ask probing questions that help
students compare the various types of quadrilaterals.
6. Create and record a standardized definition for each of the four
quadrilaterals discussed. Post the definitions so all students
can access them for the next activity. Review the definitions
of “kite” and “trapezoid” and post those as well. Refer to
Teacher Guide, “Quadrilateral Vocabulary,” for appropriate
definitions.
7. Provide each student a copy of Transparency/Blackline
Master, “The Quadrilateral Family.” Explain the concept of
a hierarchy diagram (the interior and interconnected circles
signify relationships between the shapes based on their
definitions). Instruct students to work independently to
complete the hierarchy diagram. Circulate to provide support
and to encourage students to refer to the posted definitions.
8. Display Transparency/Blackline Master, “The Quadrilateral
Family,” and engage students in Math Talk about their
thinking for classifying shapes in the hierarchy diagram. Pose
questions similar to those listed below:
 Why can’t trapezoids and kites be classified as
parallelograms?
 What property do all of the shapes have in common?
9. Students should complete Blackline Master, “Properties of
Quadrilaterals Journal Prompt,” for homework.
Source: Teacher Created from Partners in
Mathematics Learning
Wake County Public School System, 2012
Blackline Master
Grade 5
Day 44
Standards 5.G.3, 5.G.4
Name: ________________________
Date: ________________________
Properties of Parallelograms
List the properties of sides of parallelograms.
List the properties of angles of parallelograms.
List the properties of symmetry of parallelograms.
Draw 3 different examples of parallelograms.
Draw 3 different non-examples of parallelograms.
Wake County Public School System, 2012
Blackline Master
Grade 5
Day 44
Standards 5.G.3, 5.G.4
Name: ________________________
Date: ________________________
Properties of Rhombuses
List the properties of sides of rhombuses.
List the properties of angles of rhombuses.
List the properties of symmetry of rhombuses.
Draw 3 different examples of rhombuses.
Draw 3 different non-examples of rhombuses.
Wake County Public School System, 2012
Blackline Master
Grade 5
Day 44
Standards 5.G.3, 5.G.4
Name: ________________________
Date: ________________________
Properties of Rectangles
List the properties of sides of rectangles.
List the properties of angles of rectangles.
List the properties of symmetry of rectangles.
Draw 3 different examples of rectangles.
Draw 3 different non-examples of rectangles.
Wake County Public School System, 2012
Blackline Master
Grade 5
Day 44
Standards 5.G.3, 5.G.4
Name: ________________________
Date: ________________________
Properties of Squares
List the properties of sides of squares.
List the properties of angles of squares.
List the properties of symmetry of squares.
Draw 3 different examples of squares.
Draw 3 different non-examples of squares.
Wake County Public School System, 2012
Teacher Guide
Grade 5
Day 44
Standards 5.G.3, 5.G.4
Quadrilateral Vocabulary
Quadrilateral: a polygon with four sides
Parallelogram: a quadrilateral with two pairs of parallel sides
Rhombus: a parallelogram with all equal sides
Rectangle: a parallelogram with four right angles
Square: a parallelogram with four equal sides and four right angles
Kite: a quadrilateral with two distinct pairs of congruent adjacent sides and diagonals
that intersect at a right angle
Trapezoid: a quadrilateral with exactly one pair of parallel sides
Wake County Public School System, 2012
Transparency/Blackline Master
Grade 5
Day 44
Standards 5.G.3, 5.G.4
Name: ________________________
Date: ________________________
The Quadrilateral Family
Directions: Place the names of the polygons into the hierarchy diagram below to show the relationships between the
different types of quadrilaterals.
Rectangle
Square
Kite
Wake County Public School System, 2012
Quadrilateral
Parallelogram
Trapezoid
Rhombus
Answer Key
Grade 5
Day 44
Standards 5.G.3, 5.G.4
The Quadrilateral Family
Answer Key
Directions: Place the names of the polygons into the hierarchy diagram below to show the relationships between the
different types of quadrilaterals.
Rectangle
Square
Kite
Quadrilateral
Parallelogram
Trapezoid
Rhombus
Quadrilateral
Parallelogram
Rectangle
Square
Kite
Rhombus
Trapezoid
Wake County Public School System, 2012
Blackline Master
Grade 5
Day 44
Standards 5.G.3, 5.G.4
Name: ________________________
Date: ________________________
Properties of Quadrilaterals Journal Prompt
Explain how knowing the properties and definitions of two-dimensional
figures helps you classify them in a hierarchy diagram.
Wake County Public School System, 2012