Course 3 Online!
Henrico County Public Schools, Virginia
8.9 - Three Dimensional Model
Number and Number Sense, Computation and Estimation

Measurement and Geometry

Probability, Statistics, Patterns, Functions, and Algebra

SOL Review Materials
Geometry
Focus: Problem Solving with 2- and 3-Dimensional Figures


The student will construct a three-dimensional model, given the top or bottom, side, and front views. 
Essential Knowledge and Skills 
  • Construct three-dimensional models, given the top or bottom, side, and front views.
  • Identify three-dimensional models given a two-dimensional perspective.
Essential Understandings
  • How does knowledge of two-dimensional figures inform work with three-dimensional objects? It is important to know that a three-dimensional object can be represented as a two-dimensional model with views of the object from different perspectives.
Vertical Articulation
  1. None
Instructional Materials
  1. VDOE Enhanced Scope and Sequence Lesson: 3-D Figures (PDF) - Solving problems involving three-dimensional figures (Word)
  2. Notes: Types of Drawings for Three-Dimensional Figures (doc)
  3. Lesson: MSiC Cube-n-ometry Lesson, Activity, Worksheet (zip)
  4. Activity: 3-D Figure Patterns with Linking Cubes (doc)
  5. VDOE Algebra Readiness Curriculum Companion: 3-D Geometry (pdf)
Real World Lessons
Practice
  1. Worksheet: Drawing Top, Front, and Side Views of 3-D Figures (doc)
Self-Assessments
  1. SOL 8.9 Mini-Quiz: 3-dimensional Views
Skills
  1. Mathematics Assessment Project: E07:Skeleton Tower - Expert - A tower is made of cubes stacked in a particular way. In this task, you must work out a rule for calculating the total number of cubes needed to build towers of different heights.
Videos
Explore Learning
  1. 3D and Orthographic Views - Activity A: Arrange blocks in a three-dimensional space so that the top view, front view, and side view match the target top view, front view, and side view.
  2. Surface and Lateral Area of Prisms and Cylinders: Vary the dimensions of a prism or cylinder and investigate how the surface area changes. Use the dynamic net of the solid to compute the lateral area and the surface area of the solid.
  3. Surface and Lateral Area of Pyramids and Cones: Vary the dimensions of a pyramid or cone and investigate how the surface area changes. Use the dynamic net of the solid to compute the lateral area and the surface area of the solid.
Websites
  1. WisWeb Applet: Select Building Houses with Side Views
  2. TeacherLED: Isometric Drawings
VDOE Interventions
  1. VDOE Algebra Readiness Curriculum Companion: Exploring 3-D Geometry - (SOL 6.10d) The lessons focus on the geometry and measurement of three-dimensional figures including surface area and volume of prisms, cylinders, cones and pyramids. Students will investigate and describe how changing the measure of one attribute affects the volume and surface area.(pdf)
Common Core Standards
G-MG.1
G-MG.2
G-MG.3