Quadrilaterals in 5th Grade Math: Trapezoids, Parallelograms, Rhombuses, and More, Slides of Calculus

This document from math today provides an overview of topic d in 5th grade math, focusing on the properties and definitions of various quadrilaterals, including trapezoids, parallelograms, rhombuses, and kites. Students will learn how to draw and identify these shapes based on their attributes, as well as classify them in a hierarchy.

Typology: Slides

2021/2022

Uploaded on 08/05/2022

hal_s95
hal_s95 🇵🇭

4.4

(655)

10K documents

1 / 2

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
MATH TODAY
Grade 5, Module 5, Topic D
(
OBJ E C T I V E S O F T O P I C D
Draw trapezoids to clarify their attributes, and define
trapezoids based on those attributes.
Draw parallelograms to clarify their attributes, and
define parallelograms based on those attributes.
Draw rectangles and rhombuses to clarify their
attributes, and define rectangles and rhombuses based
on those attributes.
Draw kites and squares to clarify their attributes, and
define kites and squares based on those attributes.
Classify two-dimensional figures in a hierarchy based
on properties.
Draw and identify varied two-dimensional figures from
given attributes.
Focus Area Topic D
Module 5: Addition and Multiplication with Volume and Area
Defining Quadrilaterals Based on Their
Attributes
Words to Know:
Trapezoid
There are actually two definitions for a trapezoid:
1. A quadrilateral with only one pair of opposite sides
parallel
2. A quadrilateral with at least one pair of opposite sides
parallel
Most mathematicians and the Common Core
Progression Document define a trapezoid using the
second description which is the characteristics the
student will use in this module when talking about the
attributes of a trapezoid.
Parallelogram
Attributes/Properties: a quadrilateral and opposite sides
are parallel
**Since a parallelogram has two pairs of parallel sides
then it has at least one pair of parallel sides. Therefore,
all parallelograms are also classified as trapezoids.
Example Questions with Answers:
1. When can a quadrilateral be called a parallelogram?
A quadrilateral can be called a parallelogram when both
pairs of opposite sides are parallel.
2. When can a trapezoid also be called a parallelogram?
A trapezoid can be called a parallelogram when it has
more than one pair of parallel sides.
5th Grade Math
Module 5: Addition and Multiplication with Volume and Area
Math Parent Letter
This document is created to give parents and students an
understanding of the math concepts found in Eureka Math the
Engage New York material which is taught in the classroom. Grade
5 Module 5 of Engage New York covers Addition and
Multiplication with Volume and Area. This newsletter will discuss
Module 5, Topic D. In this topic students will analysis the
properties and defining attributes of quadrilaterals.
Topic D: Drawing, Analysis, and Classification of
Two-Dimensional Shapes
Things to Know!
Attribute/Property – a characteristic that describes something
Plane flat surface that extends infinitely in all directions
Polygon – closed two-dimensional figure made up of line segments
Line Segment – a straight path that connect two points
Quadrilateral – a polygon with four sides
Parallel two lines in a plane that will never intersect
Perpendicular – two lines are perpendicular if they intersect, and any
of the angles formed are 90° angles
Diagonals – straight line joining two opposite corners (vertices) of
a shape
Hierarchy – series of ordered grouping of shapes
diagonal
The diagonals of parallelograms
bisect each other.
Bi
– means two
and
sect
means cut, so bisect
means to cut in two parts. These
two parts are equal in length.
pf2

Partial preview of the text

Download Quadrilaterals in 5th Grade Math: Trapezoids, Parallelograms, Rhombuses, and More and more Slides Calculus in PDF only on Docsity!

MATH TODAY

Grade 5, Module 5, Topic D

(

O B J E C T I V E S O F T O P I C D  Draw trapezoids to clarify their attributes, and define trapezoids based on those attributes.  Draw parallelograms to clarify their attributes, and define parallelograms based on those attributes.  Draw rectangles and rhombuses to clarify their attributes, and define rectangles and rhombuses based on those attributes.  Draw kites and squares to clarify their attributes, and define kites and squares based on those attributes.  Classify two-dimensional figures in a hierarchy based on properties.  Draw and identify varied two-dimensional figures from given attributes.

Focus Area Topic D Module 5: Addition and Multiplication with Volume and Area

Defining Quadrilaterals Based on Their

Attributes

Words to Know:

Trapezoid

There are actually two definitions for a trapezoid:

  1. A quadrilateral with only one pair of opposite sides parallel
  2. A quadrilateral with at least one pair of opposite sides parallel

Most mathematicians and the Common Core

Progression Document define a trapezoid using the

second description which is the characteristics the

student will use in this module when talking about the

attributes of a trapezoid.

Parallelogram

Attributes/Properties: a quadrilateral and opposite sides are parallel

**Since a parallelogram has two pairs of parallel sides then it has at least one pair of parallel sides. Therefore, all parallelograms are also classified as trapezoids.

Example Questions with Answers:

  1. When can a quadrilateral be called a parallelogram? A quadrilateral can be called a parallelogram when both pairs of opposite sides are parallel.
  2. When can a trapezoid also be called a parallelogram? A trapezoid can be called a parallelogram when it has more than one pair of parallel sides.

5

th

Grade Math

Module 5 : Addition and Multiplication with Volume and Area

Math Parent Letter This document is created to give parents and students an understanding of the math concepts found in Eureka Math the Engage New York material which is taught in the classroom. Grade 5 Module 5 of Engage New York covers Addition and Multiplication with Volume and Area. This newsletter will discuss Module 5, Topic D. In this topic students will analysis the properties and defining attributes of quadrilaterals.

Topic D: Drawing, Analysis, and Classification of Two-Dimensional Shapes

Things to Know! Attribute/Property – a characteristic that describes something Plane flat surface that extends infinitely in all directions Polygon – closed two-dimensional figure made up of line segments Line Segment – a straight path that connect two points Quadrilateral – a polygon with four sides Parallel two lines in a plane that will never intersect Perpendicular – two lines are perpendicular if they intersect, and any of the angles formed are 90° angles

Diagonals – straight line joining two opposite corners (vertices) of a shape

Hierarchy – series of ordered grouping of shapes

diagonal

The diagonals of parallelograms

bisect each other. Bi – means two

and sect means cut, so bisect

means to cut in two parts. These two parts are equal in length.

Rhombus

Attributes/Properties: a quadrilateral, all sides are equal in length, and opposite sides are parallel

The attributes indicate that a rhombus can also be classified as a parallelogram and all parallelograms are also classified as a trapezoid.

Rectangle

Attributes/Properties: a quadrilateral, 4 right angles, and opposite sides are parallel

Since opposite side are parallel, we can classify the rectangle as a parallelogram and a trapezoid.

Example Questions/Problem with Answers:

  1. When can a trapezoid also be called a rhombus? A trapezoid can be called a rhombus when all sides are

equal in length.

  1. When can a parallelogram also be called a rectangle? A parallelogram can be called a rectangle when all

angles measure 90 °.

  1. A rhombus has a perimeter of 100 cm. What is the length of each side? Since all sides of a rhombus are equal in length, I

divided 100 by 4 sides which gives me a length of 25

cm. So the length of each side of the rhombus is 25 centimeters.

The diagonals of a rectangle do bisect each other and the two parts are equal in length.

The diagonals of a rhombus bisect one another but because they bisect each other at 90° angles, we call these diagonals perpendicular bisectors.

Square

Attributes/Properties: a quadrilateral, 4 right angles, 4 sides of equal length, and opposite sides are parallel

Since a square has 4 right angles, it can also be classified as a rectangle. Since a square has 4 sides of equal length, it can also be classified as a rhombus. The opposite sides are parallel so a square can also be classified as a parallelogram. If it is classified as a parallelogram then it is also classified as a trapezoid.

Kite

Attributes/Properties: a quadrilateral and adjacent sides or sides next to each other are equal

Problems: Look at the two shapes. Can these shapes be classified as a kite? The specific name for each shape is a square and a rhombus. Both have 4 equal sides. Therefore the adjacent sides are equal. So they can be classified as a kite.

Can a kite ever be a parallelogram? Yes, since a square and a rhombus can be classified as a kite and these shapes do have opposite sides that are parallel, then a kite at times can be classified as a parallelogram.

The diagonals of a square bisect each other at 90° angles just like a rhombus. These diagonals are called perpendicular bisectors.

The diagonals of a kite may intersect outside, but they are still perpendicular. The diagonals are not the same length. Only one diagonal bisects the other.

square rhombus