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 3Dimensional Figures
The student will construct a threedimensional model, given the top or bottom, side, and front views. 


Essential Knowledge and Skills 
 Construct threedimensional models, given the top or bottom, side, and front views.
 Identify threedimensional models given a twodimensional perspective.

Essential Understandings 
 How does knowledge of twodimensional figures inform work with threedimensional objects? It is important to know that a threedimensional object can be represented as a twodimensional model with views of the object from different perspectives.



Vertical Articulation 
 None

Instructional Materials 
 VDOE Enhanced Scope and Sequence Lesson: 3D Figures (PDF)  Solving problems involving threedimensional figures (Word)
 Notes:
Types of Drawings for ThreeDimensional Figures (doc)
 Lesson: MSiC Cubenometry Lesson, Activity, Worksheet (zip)
 Activity: 3D Figure Patterns with Linking Cubes (doc)
 VDOE Algebra Readiness Curriculum Companion: 3D Geometry (pdf)

Real World Lessons 

Practice 
 Worksheet: Drawing Top, Front, and Side Views of 3D Figures (doc)

SelfAssessments 
 SOL 8.9 MiniQuiz: 3dimensional Views

Skills 
 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 
 3D and Orthographic Views  Activity A: Arrange blocks in a threedimensional space so that the top view, front view, and side view match the target top view, front view, and side view.
 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.
 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 
 WisWeb Applet: Select Building Houses with Side Views
 TeacherLED: Isometric Drawings

VDOE Interventions 
 VDOE Algebra Readiness Curriculum Companion: Exploring 3D Geometry  (SOL 6.10d) The lessons focus on the geometry and measurement of threedimensional 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 

