AKS: 4MA.E.8 identify and draw geometric objects, classify polygons based on properties, and solve problems involving area and perimeter of rectangular figures.
Learning Targets: I can classify, compare, and contrast polygons based on lines of symmetry, the presence or absence of parallel or perpendicular line segments, or the presence or absence of angles of a specified size.
Geometry Term Challenge
Students MUST:
Place a necklace around your neck, hanging it off your back so it cannot be seen.
NOT look at your necklaces or ask others to tell you what you are wearing.
Walk around the room and ask only yes/no questions to help others collect information to determine their geometric figure or term.
Only ask 1 question per person, keeping track of questions and answers on a piece of paper or whiteboard.
Reveal your answer to the teacher when you believe you have precisely identified the figure or term on your necklace.
Those who finish early can give clues or hints to help others figure out their figure or term.
We have learned how to identify and draw points, lines, line segments, rays, angles (right, acute, obtuse), perpendicular lines, parallel lines, and lines of symmetry. We have also classified triangles based on the length of the sides and the types of angles.
Today, we will classify two-dimensional figures based on lines of symmetry, the presence or absence of parallel or perpendicular line segments, the presence or absence of angles of a specified size, and side lengths.
When we classify shapes, we consider how the sides and angles of the figures are alike and different. We compare and contrast their attributes.
Let’s observe these two quadrilaterals: a kite and a rhombus constructed from Anglegs.
These two figures have several attributes. We could examine their types of angles, whether or not they have lines of symmetry, equal sides, or parallel or perpendicular line segments.
Today, we will determine how the properties of two-dimensional shapes help us describe and classify how these quadrilaterals are similar and different.
Let’s begin by drawing a chart to help us understand these two figures' shared similarities and differences.
Create a chart with three columns. One column in the middle of the chart represents the attributes that are similar and shared for both quadrilaterals. The outer 2 columns represent the attributes unique to only that quadrilateral and not the other.
Let’s compare and contrast these two shapes by focusing first on the sides and angles.
Let’s continue comparing and contrasting these polygons for the presence or absence of parallel sides and lines of symmetry. Let’s also compare and contrast these polygons for the presence or absence of perpendicular sides.
We can classify quadrilaterals and other two-dimensional figures by their attributes. We can observe their angles and sides and record how the figures are alike and different.
Comparing and contrasting the attributes of the kite and rhombus helped us understand and determine their similarities and differences.
Because the kite and rhombus both have 2 acute and 2 obtuse angles, they can be classified together.
The kite and rhombus could also be classified together if we considered their 2 pairs of adjacent congruent sides.
The kite and rhombus would be classified separately if we considered the number of symmetry lines or pairs of parallel sides. These quadrilaterals also have a different number of pairs of congruent angles.
Anchor Chart: Quadrilateral Attributes
Mathematicians, it is your turn to try!
Let’s look at the parallelogram and the rectangle made from Anglegs.
How are the attributes of these figures the same? How are they different?
Turn and talk with your partner. Observe both quadrilaterals and discuss the attributes of each figure.
Create a chart to record your thinking:
Do you observe any sets of parallel sides in each figure? Discuss and decide if you think any of the sides are parallel.
I’ve heard several of you say that both shapes are quadrilaterals. They have four sides and four vertices. I also heard you say that both figures have two sets of parallel sides. Based on these attributes, we could classify both shapes in the same group.
Another property I can describe about the rectangle and the parallelogram is that they have two pairs of parallel sides of different lengths. Two sides are longer, while two sides are shorter. This is another attribute both the rectangle and parallelogram have in common.
The rectangle and parallelogram are different. The rectangle has 4 right angles, while the parallelogram has 2 acute and 2 obtuse angles. They could be classified separately based on this attribute.
The rectangle and parallelogram are also different because the rectangle has perpendicular sides where two line segments form a right angle. Parallelograms do not have right angles, and they do not have perpendicular sides.
Mathematicians: 2-dimensional shapes can be classified based on whether or not they have parallel or perpendicular sides, lines of symmetry, specific angle sizes, or certain lengths of line segments. Remember to look at each shape carefully and decide if it has a specific common attribute before classifying it with other shapes.
Four Corners Game
Each room corner is labeled A, B, C, or D.
Notice the display of the answer choices.
Listen as I read the statement or question to the class.
Commit to an answer choice by going to a corner of the room that corresponds to your choice.
In each corner, discuss the reasons for selecting a particular choice.
Be ready to get called on to present a group summary of your opinions.
REMEMBER: There is more than one correct answer for each statement.
1. FRECKLE - Complete THREE Freckle Assignments each week. DUE FRIDAY. Your HIGHEST score in Targeted Practice is your weekly math grade - Click HERE for Freckle website
GRADED Targeted Practice - Current skill (5 questions; Score Goal=80% or higher)
Fact Practice - Multiplication Fact Practice
Adaptive Practice - At YOUR level
2. iREADY Math - Complete 30 minutes at your level each week