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Understanding Hierarchy Diagrams Understanding Hierarchy Diagrams

Understanding Hierarchy Diagrams - PowerPoint Presentation

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Understanding Hierarchy Diagrams - PPT Presentation

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

hierarchy triangle vocabulary quadrilateral triangle hierarchy quadrilateral vocabulary polygon tree sides rhombus rectangle angles review acute polygons parallelogram angle

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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.