LEARNING GEOMETRY… with a little help from technology By: Gregory Nussberger.

Slides:



Advertisements
Similar presentations
Chapter 12 – Surface Area and Volume of Solids
Advertisements

Three-Dimensional Geometry
SECTION 9-5 Volume and Surface Area Slide VOLUME AND SURFACE AREA Space Figures Volume and Surface Area of Space Figures Slide
Chapter 12. Section 12-1  Also called solids  Enclose part of space.
3 Dimensional objects… Miss Hudson’s Maths.
Chapter 12.1 and 12.2.
Bell Ringer Get out your notebook and prepare to take notes on Chapter 8 What is the difference between two-dimensional and three-dimensional?
Euler’s Formula Classifying Three Dimensional Shapes Any Observations?
Section 2.4 Three Dimensional Shapes MA418 McAllister Spring 2009.
Lesson 8.1A: Three Dimensional Objects, Nets, and Cross-Sections
Volume of Rectangular Prisms
Geometric Solids A three dimensional figure that has three dimensions: length, width, and height. cylinder Rectangular prism cube pyramid cone.
For This Lesson... You will need: a straightedge.
Unit 6: Geometry Lesson 7: Volume and Surface Area Learning Goal  I can determine the volume for various prisms, pyramids, cylinders, cones, and spheres.
Warm-up Review Take Home Quizzes. There will be a 3 question In Class Quiz based on them.
1-7 Three Dimensional Figures
Three-Dimensional Figures and Spatial Reasoning
Space Figures Mr. J. Grossman. Space Figures Space figures are three-dimensional figures or solids. Space figures are figures whose points do not all.
Types of Solid Figures Prisms, pyramids and cylinders…oh my!
The Geometry of Solids Section 10.1.
GEOMETRY Today: PSAE 12.3 Instruction Practice Bridge Tips: Measure the wood used on your sketch before you start cutting and gluing.
Volume of a Cylinder, Cone, and Sphere
Lesson 10-6 Solid Figures.
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.
10-6 Three-Dimensional Figures Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day.
Lesson 1.8 – Space Geometry Homework: Lesson 1.8/1-27 Chapter 1 Test Friday 10/18.
Polyhedrons Solid - a three-dimensional figure Polyhedra or Polyhedrons - solid with all flat surfaces Faces - the flat surfaces of a solid Edges - line.
Unit 9: Geometry – 6th Grade
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.
Bell Ringer Get out your area homework assignment and formula sheet Get out your notebook and prepare to take notes on Section 10.5/10.7 Find the area.
Section 12-1 Name the Solids. Prism a 3-dimensional figure with two congruent, parallel faces The bases are congruent, parallel faces. The bases lie in.
1-7 Three Dimensional Figures Surface Area and Volume Day 2 What is surface area? What is volume? How do you know what formulas to use?
Identify the Faces, Edges, Vertices.
12.1 Solid Figures. Today we will… Name Solid Shapes.
7.1 Three- Dimensional Figures I can classify and draw three-dimensional figures.
Surface Area of Prisms and Cylinders. Goal, to find the surface areas of prisms and cylinders.
What are these shapes? squarecircletrianglerectangle How many sides do each have? How many points do each have?
Chapter 10: Area & Volume 10.4, 10.5, 10.6 Space Figures Surface Area of Prisms, Cylinders, Pyramids, Cones, and Spheres.
Three- Dimensional Figures #37. A polyhedron is a three-dimensional object with flat surfaces, called faces, that are polygons. When two faces of a three-dimensional.
An introduction to 3D Figures
11-1 Space Figures and Cross Sections. Polyhedra A polyhedron is a three- dimensional figure whose surfaces are polygons. Each polygon is a face of the.
Solid Figures Vocabulary.
Geometry Share with you group what you know about geometry.
Cube A cube[1] is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex[1]three-dimensionalsquarefacetsvertex.
Problem of the Day 2-D ShapeArea FormulaLabeled Drawing Rectangle Square Parallelogram Rhombus Triangle Trapezoid.
Classifying Solids What is this Solid? Rectangular Prism.
7.1 Three- Dimensional Figures I can classify and draw three-dimensional figures.
1.Square/ Rectangle: A=b x h 2.Triangle: A= ½ b x h ( a triangle is ½ of a rectangle) 3.Circle: A = r2.
Unit 4D:2-3 Dimensional Shapes LT5: I can identify three-dimensional figures. LT6: I can calculate the volume of a cube. LT7: I can calculate the surface.
GEOMETRY CHAPTER 11 SUMMARY. Three-dimensional figures, or solids, can be made up of flat or curved surfaces. Each flat surface is called a face. An edge.
Classifying 3D Figures/Solids  Solid- a 3D figure that encloses a part of space  Polyhedron – a solid that is enclosed by polygons (faces) and has only.
UNIT 8: VOLUME VOCABULARY 8 TH GRADE MATH MS. CARQUEVILLE.
Presented by : Gina Garcia Prism Surface area: A Prism is a polyhedron with two congruent and parallel faces (the bases) and whose lateral faces are.
1 Solids Three-Dimensional Geometry. 2 Prisms A prism is a three-dimensional solid with two congruent and parallel polygons called the bases. The lateral.
Goal: Identify and name solid figures.
Unit 11: 3-Dimensional Geometry
3-Dimensional Figures.
Space Figures.
Unit 11: 3-Dimensional Geometry
Three-Dimensional Figures and Spatial Reasoning
Lesson 10.3 Three-Dimensional Figures
Geometric Solids All bounded three-dimensional geometric figures. Examples: Sphere, Cylinders, Cubes, Cones, Pyramids, and Prisms.
Three-Dimensional Geometry
Geometric Solids All bounded three-dimensional geometric figures. Examples: Sphere, Cylinders, Cubes, Cones, Pyramids, and Prisms.
9.4 – Perimeter, Area, and Circumference
11.5 Explore Solids Mrs. vazquez Geometry.
Geometry: Three Dimensional Solids
Presentation transcript:

LEARNING GEOMETRY… with a little help from technology By: Gregory Nussberger

Technology Makes Learning Geometry Easy… Technology Makes Learning Geometry Easy… Standard: GEOMETRY Competency: (M4-P1) Interpret and draw three- dimensional objects Performance Objective: (PO1) Identify sketches of prisms, pyramids, cones, cylinders, and spheres

What are these strange objects? What are these strange objects? Cylinder, Cone, and Sphere A cylinder is a solid (three-dimensional) figure with two congruent circular bases that lie in parallel planes. A cone is a solid figure with a circular base and a vertex that lies in a different plane than the base. A sphere is the set of all points in space that are a given distance (radius) from a fixed point (center).

Lets Look at Some Examples of a Cylinder :

Some Examples of a Cone:

Lets Look at Some Examples of a Sphere:

Your Assignment for Today… Classwork: Insert 6 additional slides to your PowerPoint Student Electronic Portfolio (SEP). Use the following information to guide you through the process. Slide #38 - Title Slide, Learning Geometry… Slide #39 - Are the previously mentioned solids polyhedra (a solid figure bounded by plane polygons or faces)? Slide # 40 - How are the 3 types of solids alike and how they are different? Slide #41 - Sketch a cylinder with a height that is twice the diameter of the base. Slide #42 - Draw a cone with a height that is half the diameter of the base. Slide #43 - Name a common object that has the shape of a sphere and insert a picture of that object, use clip-art or the Internet.

Lets Review What We Learned… What have we learned and how you can apply it: We can use technology to identify an object’s basic shape, we can determine which formulas to use to calculate surface areas and volumes. Many products are packaged using these shapes.