Today, we are going to learn about cross sections

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.
What you see when you slice.
Cross Sections SWBAT: Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular.
Lesson 8.1A: Three Dimensional Objects, Nets, and Cross-Sections
Geometric Solids A three dimensional figure that has three dimensions: length, width, and height. cylinder Rectangular prism cube pyramid cone.
GEOMETRY The dictionary is the only place where success comes before work. Mark Twain Today: Over Vocab 12.1 Instruction Practice.
Geometric Solids EQ: What are the most common types of solids, what are cross sections and solids of revolution?
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.
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)
Solid Shapes Three Dimensional Figures. Cube A cube has six faces. A cube has eight vertices. A cube has twelve edges. A cube is a solid shape. A cube.
Cross Sections SWBAT: Describe the two-dimensional figures that result from slicing three-dimensional figures with a plane.
Chapter 11.1 Notes Common Core – G.GMD.4 Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional.
Three-Dimensional Solids Polyhedron – A solid with all flat surfaces that enclose a single region of space. Face – Each flat surface of the polyhedron.
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.
Course 2, Lesson 7-6 Draw a top, a side, and a front view of the solid. 1. Draw the solid using the top, side, and front views shown. Use isometric dot.
Cross Sections.
Secondary Math Two and Three-Dimensional Objects.
Introduction to 3D Solids and Solids of Revolution Some 3D shapes can be formed by revolving a 2D shape around a line (called the axis of revolution).
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.
Cross Sections SWBAT: Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular.
Geometry- 3 Dimensional Shapes Solid Figures
Cross Sections SWBAT: Describe the two-dimensional figures that result from slicing three-dimensional figures with a plane.
Cross sections of 3-D solids
Cross Sections SWBAT: Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular.
Cross Sections SWBAT: Describe the two-dimensional figures that result from slicing three-dimensional figures with a plane.
Cross Sections SWBAT: Describe the two-dimensional figures that result from slicing three-dimensional figures with a plane.
Cross Sections SWBAT: Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular.
11.4 Three Dimensional Figures
Geometry- 3 Dimensional Shapes Solid Figures
Digital Cross Sections Lab
Find the surface area of the figure.
Representations of Three-Dimensional Figures
Digital Cross Sections Lab Create each figure sitting on its Base
Draw isometric views of three-dimensional figures.
Maintenance Sheet 18 due Friday
Cross Sections SWBAT: Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular.
10.1 Solid Geometry Geometry.
Warm Up Classify each polygon. 1. a polygon with three congruent sides
Cross Sections SWBAT: Describe the two-dimensional figures that result from slicing three-dimensional figures with a plane.
Objectives Classify three-dimensional figures according to their properties. Use nets and cross sections to analyze three-dimensional figures.
Find the volume of the solid.
Find the surface area of the figure.
Splash Screen.
Cross Sections Cross Sections.
Geometric Solids All bounded three-dimensional geometric figures. Examples: Sphere, Cylinders, Cubes, Cones, Pyramids, and Prisms.
Geometric Solids All bounded three-dimensional geometric figures. Examples: Sphere, Cylinders, Cubes, Cones, Pyramids, and Prisms.
Representations of Three-Dimensional Figures
12.1: Representations of Three-Dimension Figures
Tuesday.
11.5 Explore Solids Mrs. vazquez Geometry.
Tuesday.
Cross Sections SWBAT: Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular.
State whether each figure has rotational symmetry. Write yes or no
MATH THS – Standard Geometry
Cross Sections of 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.
Homework: Maintenance Sheet 20 Due Friday Please Study Daily
Cross Sections of Three-Dimensional Figures
Five-Minute Check (over Lesson 11–1) Mathematical Practices Then/Now
MAFS.912.G-GMD.2.4  Identify the shapes of two-dimensional cross-sections of three- dimensional objects, and identify three-dimensional objects generated.
Lesson 9.5 ext. – Cross Sections of 3-Dimensional Figures
Homework: Maintenance Sheet 20 Due Friday -Please Study Daily
Lesson 26: Slicing 3 dimensional figures
Five-Minute Check (over Chapter 10) Mathematical Practices Then/Now
Presentation transcript:

Today, we are going to learn about cross sections Today, we are going to learn about cross sections. You have looked at cross sections before without even knowing it. Consider when you cut a fruit or vegetable. The “face” of the fruit or vegetable after it is cut represents a cross section of that object. Thought of the Day

Section 12-1 Representations of Three-Dimensional Figures

Then Now Objectives You identified parallel planes and intersecting planes in three- dimensional figures. Investigate cross sections of three dimensional figures.

Common Core State Standards Content Standards G.GMD.4 – Identify the shapes of two- dimensional cross-sections of three- dimensional objects, and identify three- dimensional objects generated by rotations of two-dimensional objects. Mathematical Practices 1) Make sense of problems and persevere in solving them. 5) Use appropriate tools strategically. Common Core State Standards

A cross section is the intersection of a solid and a plane A cross section is the intersection of a solid and a plane. The shape of the cross section formed by the intersection of a plane and a three-dimensional figure depends on the angle of the plane. Vocabulary

Scientists are able to use computers to study cross sections of ancient artifacts and structures. Determine the shape of each cross section of the pyramid below. Example 3

Describe the cross section of the cone. Example 3

Describe the cross section of the cone. Example 3

Describe the cross section of the cone. Example 3

Describe the cross sections of the cylinders. Example 3

Describe the cross sections of the prisms. Example 3

Sketch the cross section from a vertical slice of each figure. Example 3

Consider the sphere. Based on the cross section resulting from a horizontal and a vertical slice of the sphere, make a conjecture about all spherical cross sections. Example 3

p.841 #5 – 7, 15 – 19, 25 – 27 Homework