Number and Number Sense 

Computation and Estimation 

Measurement and Geometry 

Probability, Statistics, Patterns, Functions, and Algebra 

SOL Review Materials 




Measurement
Focus: Problem Solving with Area, Perimeter, Volume, and Surface Area
The student will make ballpark comparisons between measurements in the U.S. Customary System of measurement and measurements in the metric system. 


Essential Knowledge and Skills 
 Estimate the conversion of units of length, weight/mass, volume, and temperature between the U.S. Customary system and the metric system by using ballpark comparisons.
 Estimate measurements by comparing the object to be measured against a benchmark.

Essential Understandings 
 What is the difference between weight and mass? Weight and mass are different. Mass is the amount of matter in an object. Weight is the pull of gravity on the mass of an object. The mass of an object remains the same regardless of its location. The weight of an object changes dependent on the gravitational pull at its location.
 How do you determine which units to use at different times? Units of measure are determined by the attributes of the object being measured. Measures of length are expressed in linear units, measures of area are expressed in square units, and measures of volume are expressed in cubic units.
 Why are there two different measurement systems? Measurement systems are conventions invented by different cultures to meet their needs. The U.S. Customary System is the preferred method in the United States. The metric system is the preferred system worldwide.


Vertical Articulation 
 SOL 4.6ab  a) estimate/measure
weight/mass, describe results in
U.S. Cust/metric units; b) ID equiv
measurements between units within
U.S. Cust system and between units
within metric system
 SOL 5.8abcde  a) find perimeter/area/volume;
b) differentiate among
perimeter/area/ volume, ID which
measure is appropriate; c) ID equiv
measurements within metric
system; d) estimate/measure U.S.
Cust/metric; e) choose appropriate
unit of measure w/ U.S. Cust/ metric
 SOL 7.5abc  a) describe volume/surface area
of cylinders; b) solve practical
problems involving volume/surface
area of rect. prisms and cylinders; c)
describe how changes in measured
attribute affects volume/surface
area
 SOL 8.7ab  a) investigate/solve practical
problems involving volume/surface
area of prisms, cylinders, cones,
pyramids; b) describe how changes
in measured attribute affects
volume/surface area

Instructional Materials 
 VDOE Enhanced Scope and Sequence Lesson: Measuring Mania (PDF)  Making ballpark comparisons between measurements (Word)
 Activity: Measurement Scavenger Hunt with QR Codes (doc)  12 practice problems using QR codes to find the next question
 Quiz: Measurement (doc)  12 practice questions
 Activity: Measurement Stations (doc)  5 stations covering different measurement conversions

Real World Lessons 
 Dan Meyer  The Slow Forty  How fast do you think Rich Eisen runs in miles per hour?

Practice 
 Worksheet: Measurement (doc)  fill in table with different types of measurements
 Worksheet: Using Measurement (pdf)  11 multiple choice practice problems

SOL Mini Quiz 
 SOL 6.9 Mini Quiz: Measurements (pdf)

Skills 
 Mathematics Assessment Project:
 A19:Leaky Faucet  Apprentice  How much water might a dripping faucet waste in a year?
 A24:Yogurt  Apprentice  In this task, you must calculate how much yogurt is produced by a machine at a food company.

Videos 
 YouTube: Metric System

Explore
Learning 

Websites 

VDOE Interventions 
 VDOE Algebra Readiness Curriculum Companion: Working with Units  The lessons focus on selecting, estimating, and converting units of measure for length,
weight/mass, liquid volume, area, and temperature in the customary and metric systems. (pdf)

Common Core
Standards 
None 
