PLANE SLICE Describe the two-dimensional figures that result from slicing three-dimensional figures.

Slides:

Advertisements

Similar presentations

Thee-Dimensional Figures and their representations

Advertisements

Hook If you were to slice a cereal box with a geometric plane as shown, what shape would result? Coach’s Commentary I chose this example because it gives.

Three-Dimensional Figures. Vocabulary Two-dimensional figures (plane figures) – triangles, quadrilaterals, and circles. They lie in one plane.

Slicing at an Angle.

In this lesson, you will learn how to visualize the 2D cross-sections of 3D shapes Cross Section: the 2 dimensional shape that results from cutting through.

What you see when you slice.

10-1 Solid Geometry Warm Up Lesson Presentation Lesson Quiz

3.4 Polyhedrons and Prisms

Lesson 8.1A: Three Dimensional Objects, Nets, and Cross-Sections

Basic geometric FIGURES

10-1 Introduction to Three-Dimensional Figures Warm Up

Geometric Solids A three dimensional figure that has three dimensions: length, width, and height. cylinder Rectangular prism cube pyramid cone.

Splash Screen. Lesson Menu Five-Minute Check (over Chapter 11) CCSS Then/Now New Vocabulary Example 1:Use Dimensions of a Solid to Sketch a Solid Example.

Polygons Two-dimensional shapes that have three or more sides made from straight lines. Examples: triangles squares rectangles.

Splash Screen. Lesson Menu Five-Minute Check (over Chapter 11) CCSS Then/Now New Vocabulary Example 1:Use Dimensions of a Solid to Sketch a Solid Example.

Do Now What shape would you get if you cut through the stick of butter? (give the most specific name)

Geometry The strand of math that deals with measurement and comparing figures, both plane and solid .

Attributes A quality that is characteristic of someone or something.

Click the mouse button or press the Space Bar to display the answers.

Three–Dimensional Figures Today you will learn to: identify and classify three-dimensional figures describe plane sections of right rectangular prisms.

Standards: Date: 3/13/ – I can classify three-dimensional figures according to their properties – I can use nets and cross sections.

A solid figure 3 dimensional figure.

Warm-Up Find the area of the kite Question 8 from the Test.

Cross Sections SWBAT: Describe the two-dimensional figures that result from slicing three-dimensional figures with a plane.

Solid Geometry - Objectives Classify three-dimensional figures according to their properties. Use nets and cross sections to analyze three-dimensional.

12-1 Exploring Solids Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz.

Identifying 3-D Figures Lesson 12 – 7. Vocabulary Three Dimensional (3 – D) Figure: Shapes that have a length, width, and depth/height Face – a flat surface.

Three-Dimensional Solids Polyhedron – A solid with all flat surfaces that enclose a single region of space. Face – Each flat surface of the polyhedron.

7.1 Three- Dimensional Figures I can classify and draw three-dimensional figures.

Cross Sections What you see when you slice.. What is a Cross Section? So far we have dealt with two-dimensional figures and three-dimensional figures.

Warm Up Identify each two-dimensional figure described.

What are these shapes? squarecircletrianglerectangle How many sides do each have? How many points do each have?

Vocabulary A polyhedron is a three-dimensional solid with flat surfaces and straight edges. Each polygon is a face of the polyhedron. An edge is a segment.

Attributes A quality that is characteristic of someone or something.

WARM UPS #1 A person covered 80 yards in 20 seconds. What is his speed in feet per second? #2 #3.

Warm Up Classify each polygon. 1. a polygon with three congruent sides

Warm Up Classify each polygon. 1. a polygon with three congruent sides 2. a polygon with six congruent sides and six congruent angles 3. a polygon with.

7.1 Three- Dimensional Figures I can classify and draw three-dimensional figures.

Secondary Math Two and Three-Dimensional Objects.

Geometry Part 4. 1.Surface Area 2.Introduction to Volume 3.Volume of a Rectangular Prism 4.Using Models to Find Volume 5.End of Unit Assesment Day…..

Three-dimensional figures, or solids, can be made up of flat or curved surfaces. Faces– the polygons that make the polyhedron Edges– A line segment formed.

6 th grade Math Vocabulary Word, Definition, Model Emery UNIT 5: Area, Volume and Applications.

Prism A solid object with two identical bases and flat sides. If you slice a prism parallel to the bases (like bread), the cross sections are identical.

Ice cream factories test how consistently the ingredients are distributed through each carton by cutting cartons in half for a good view. Describe the.

Three-Dimensional Figures Identify and classify pyramids and prisms by the number of edges, faces, or vertices Identify and classify pyramids and prisms.

Warm Up Classify each polygon. 1. a polygon with three congruent sides

Hook If you were to slice the Great Pyramid of Giza with a geometric plane as shown, what shape would result? Coach’s Commentary I chose this example because.

Representations of Three-Dimensional Figures

Hook If you were to slice the Great Pyramid of Giza with a geometric plane as shown, what shape would result? Coach’s Commentary I chose this example because.

10.1 Solid Geometry Geometry.

Warm Up Classify each polygon. 1. a polygon with three congruent sides

Objectives Classify three-dimensional figures according to their properties. Use nets and cross sections to analyze three-dimensional figures.

10-1 Solid Geometry Warm Up Lesson Presentation Lesson Quiz

10-1 Solid Geometry Warm Up Lesson Presentation Lesson Quiz

11-1 Solid Geometry Warm Up Lesson Presentation Lesson Quiz

Cross Sections TeacherTwins©2014.

10-1 Solid Geometry Warm Up Lesson Presentation Lesson Quiz

Representations of Three-Dimensional Figures

10-1 Solid Geometry Warm Up Lesson Presentation Lesson Quiz

10-1 Solid Geometry Warm Up Lesson Presentation Lesson Quiz

Three-Dimensional Figures

Agenda Bell Ringer Bell ringer

Objectives Classify three-dimensional figures according to their properties. Use nets and cross sections to analyze three-dimensional figures.

12.1-D Figures Objective: students will be able to identify the attributes of 3-d figures.

I have 4 faces. I have 6 edges. I have 4 vertices.

Cross Sections.

Lesson 9.5 ext. – Cross Sections of 3-Dimensional Figures

Lesson 26: Slicing 3 dimensional figures

Presentation transcript:

PLANE SLICE Describe the two-dimensional figures that result from slicing three-dimensional figures

Table of contents Vocabulary……………………………………………………………..Slide 3 Lesson A…………………………………………………………………Slide 4 Lesson B………………………………………………………………….Slide 11

Vocabulary CROSS-SECTION- THE SHAPE YOU GET WHEN CUTTING STRAIGHT ACROSS AN OBJECT PARALLEL- LINES IN A PLANE THAT DO NOT MEET PERPENDICULAR- RELATIONSHIP BETWEEN TWO LINES WHICH MEET AT A RIGHT ANGLE FACE- FLAT PLANAR SURFACE EDGE- LINE WHERE TWO SURFACES MEET VERTEX- CORNER OF AN INTERSECTION BASE- SIDE OF A PLANE FIGURE OR FACE OF A SOLID ANGLE- FIGURE FORMED BY TWO RAYS OR LINE SEGMENTS DIAGONAL- CROSSING FROM ONE CORNER TO ANOTHER PLANE- FLAT TWO-DIMENSIONAL SURFACE RECTANGULAR PRISM- A 3D SHAPE THAT HAS 6 FACES, 8 VERTICES, AND 12 EDGES RIGHT SQUARE PYRAMID- A 3D SHAPE THAT HAS 5 FACES, 5 VERTICES, AND 8 EDGES

Lesson A In this lesson you will learn how to describe the cross sections of a rectangular prism by slicing at different angles.

Review 3D 2D Rectangular Prism Plane Meet at 90˚ Infinitely Tall Six Faces Infinitely Long 2D

Interpreting a Perspective Drawing Looking at the prism straight on, the top face looks like a parallelogram. When the top face is straight up, you can see that it is actually a rectangle.

The Plane can be perpendicular or parallel. A Cross Section is the two-dimensional shape you get when you cut a three-dimensional shape with a plane. The Plane can be perpendicular or parallel. Perpendicular Planes intersect to form right angles. Parallel Planes never intersect

Cutting a rectangular prism parallel to its base: The blue part is your Cross Section

Cutting a rectangular prism NOT parallel to its base: The blue part is your Cross Section

Cutting a rectangular prism perpendicular to its base: The blue part is your Cross Section

Lesson B In this lesson you will learn how to describe the cross sections of a right square pyramid by slicing at different angles.

Review Right Square Pyramid From Lesson A, recall what a plane is and how it relates to cross sections. View slide five for reference. Vertex 5 Faces

Cutting a right pyramid with a plane parallel to its base: The blue part is your Cross Section

Cutting a right square pyramid NOT parallel to its base: The blue part is your Cross Section The ends on the quadrilateral are different lengths because the far side is closer to the top vertex.

Cutting a right square pyramid with a plane perpendicular to its base containing the vertex:

Sources: http://www.youtube.com/watch?v=y8ct1mPYHUk&feature=player_embedded http://www.youtube.com/watch?v=2mrJhslPjFw&feature=player_embedded