Alignment Lesson Day 46 Polygon Review As you review the next several slides look at the pictorial representations of the polygon Give all the attributes you can think of about the polygon ID: 613791
Download Presentation The PPT/PDF document "Understanding Hierarchy Diagrams" is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.
Slide1
Understanding Hierarchy Diagrams
Alignment Lesson
Day 46Slide2
Polygon Review
As you review the next several slides, look at the pictorial representations of the polygon. Give all the attributes you can think of about the polygon!
Slide3
Vocabulary Review
Square
- a parallelogram with all sides the same length and all right angles
Diagonals are congruent
Diagonals are perpendicular
A quadrilateralSlide4
Vocabulary Review
Rectangle
- a parallelogram with all right angles
Diagonals are congruent
Opposite sides are congruentSlide5
Vocabulary Review
Rhombus
- a parallelogram with all sides the same length
Diagonals are NOT congruent
Diagonals are perpendicularSlide6
Vocabulary Review
Parallelogram
- a polygon with two pairs of parallel sides
A rectangle is a parallelogram
A rhombus is a parallelogram
A square is a parallelogramSlide7
Vocabulary Review
Trapezoid
– a quadrilateral with ONLY one pair of parallel sides
Right trapezoid
- a trapezoid with right anglesSlide8
Vocabulary Review
Kite
- A quadrilateral with two distinct pairs of congruent, adjacent sides and diagonals that intersect at a right angle.Slide9
Polygons Vocabulary
Acute
Triangle
–
A
triangle that contains only angles
less
than 90
All acute anglesSlide10
Polygons Vocabulary
Right Triangle
–
A
triangle that contains one 90º right
angle
One right angle
Check right angle using the corner of your piece of paper
90° angleSlide11
Polygon Vocabulary
Obtuse Triangle
- A
triangle that contains one angle greater than
90°
One obtuse angleSlide12
Polygon Vocabulary
Scalene Triangle
–A
triangle that has sides of all
different lengths
All angles have different measures too!Slide13
Polygon Vocabulary
Isosceles Triangle
–
A
triangle that has two sides the same
length
Two of the angles have the same measures too!Slide14
Polygon Vocabulary
Equilateral Triangle
- A
triangle that has all sides the same
length
All the angles have the same measures too!Slide15
Hierarchy Tree
You may also follow along using the
blackline
master Day 46 “Hierarchy Tree”
Polygon
Quadrilateral
Rectangle
Rhombus
Triangle
What do you notice about the shapes as you move down the tree?
The definitions become narrower the lower you move; the definitions of the shapes at the top are broader.Slide16
Hierarchy Tree
Polygon
Quadrilateral
Rectangle
Rhombus
Triangle
Why is there an arrow pointing from quadrilateral to rectangle?
A rectangle is a more specific quadrilateral.
Why is there an arrow pointing from quadrilateral to rhombus?
A rhombus is a more specific quadrilateral.Slide17
Hierarchy Tree
Polygon
Quadrilateral
Rectangle
Rhombus
Triangle
Where on the tree would you add acute triangle?
Under triangle.
What attributes of these figures have been used to create this hierarchy diagram?
Number of sides, lengths of sides, number and types of angles.
Acute TriangleSlide18
Polygon
Quadrilateral
Rectangle
Rhombus
Triangle
Acute Triangle
Add the following figures to the hierarchy tree:
Pentagon
Square
Obtuse triangle
Right triangleSlide19
Math Talk….Let’s Discuss where you decided to place the polygons on the hierarchy tree.Slide20
Find Day 46, “Hierarchy Diagram”
Place the following polygons in the “Hierarchy Diagram”
Triangle
Quadrilateral
Acute Triangle
Rectangle
Pentagon
Obtuse Triangle
Right Triangle
Square
Rhombus
Slide21
Practice….
With a partner, you are to…
Create a different hierarchy tree
Must include at least 10 different polygons
It may include some of the same figures as the hierarchy tree discussed earlier today, but it must include some different ones as well.
Think about classifying figures based on different sets of attributes (symmetry, sets of parallel sides, types of angles)
You will need a copy of your hierarchy tree to complete your homework.Slide22
Homework
Using your hierarchy tree you created with a partner, create a hierarchy
diagram
that shows the relationships among shapes. Remember not to compare diagrams or share your thinking with your partner until you are instructed to do so during class tomorrow.