Number, Number Sense, Computation and Estimation 

Measurement and Geometry 

Probability, Statistics, Patterns, Functions, and Algebra 

SOL Review Materials 




*Items measuring these SOL will be completed without the use of a calculator.
Number and Number Sense
Focus: Proportional Reasoning
The student will
b) determine scientific notation for numbers greater than zero;
c) compare and order fractions, decimals, percents, and numbers written in scientific notation.



Essential Knowledge and Skills 
 Write a number greater than 0 in scientific notation.
 Recognize a number greater than 0 in scientific notation.
 Compare and determine equivalent relationships between numbers larger than 0 written in scientific notation.
 Represent a number in fraction, decimal, and percent forms.
 Compare, order, and determine equivalent relationships among fractions, decimals, and percents. Decimals are limited to the thousandths place, and percents are limited to the tenths place. Ordering is limited to no more than 4 numbers.
 Order no more than 3 numbers greater than 0 written in scientific notation.

Essential Understandings 
 When should scientific notation be used? Scientific notation should be used whenever the situation calls for use of very large or very small numbers.
 How are fractions, decimals and percents related? Any rational number can be represented in fraction, decimal and percent form.


Vertical Articulation 
 SOL 5.2ab  a) recognize/name fractions in
their equivalent decimal form and
vice versa; b) compare/order fracts
and decimals
 SOL 6.2ab  a) frac/dec/%  a) describe as
ratios; b) ID from representation;
 SOL 6.2cd  c)
equiv relationships; d)
compare/order
 SOL 8.1b  compare/order fract/dec/%,
and scientific notation
 SOL A.1  represent verbal quantitative
situations algebraically/evaluate
expressions for given replacement
values of variables

Instructional Materials 
 VDOE Enhanced Scope and Sequence Lesson: Scientific Notation  7.1b (PDF)  Ordering numbers written in scientific notation (Word)
 VDOE Enhanced Scope and Sequence Lesson: Ordering Fractions, Decimals, and Percents  7.1c (PDF)  Ordering fractions, decimals, and percents (Word)
 Discovery: Scientific Notation  7.1b (flipchart)
 Guided Notes: Scientific Notation and Standard Form  7.1b (doc)
 Notes: Scientific Notation  7.1b (flipchart)
 Foldable: Scientific Notation  7.1b (doc)
 Notes: Ordering Scientific Notation  7.1bc (flipchart)
 Activity: Scientific Notation Comparison with Pictures (doc)
 Activity: Interactive Fraction, Decimal, Percents, Scientific Notation Conversions  7.1c (flipchart)
 Activity: Cards for Ordering War  7.1c (pdf)
 Activity: Ordering Cut and Paste  7.1c (doc)
 VDOE Algebra Readiness Curriculum Companion: Comparing and Ordering (pdf)
 VDOE Algebra Readiness Curriculum Companion: Exploring Whole Numbers (pdf)

Real World Lessons 

Practice 
 Google Earth: Scientific Notation Practice  7.1b (pdf)
 Worksheet: Scientific Notation and Standard Form  7.1b (doc)
 Worksheet: Scientific Notation  Standard Form Conversions  7.1b (doc)
 Worksheet: Ordering  7.1c (pdf)

SOL Mini Quiz 
 SOL 7.1bc Mini Quiz: Fractions, Decimals, Percents, and Scientific Notation (pdf)  (doc)

Skills 
 Mathematics Assessment Project:
 A02:100 People  Apprentice  In this task, you are asked to estimate the real numbers, given that there are approximately seven billion people in the world.
 A03:A Million Dollars  Apprentice  In this task, you will figure out questions such as: How much does a million Dollars in Dollar bills weigh? How many burgers can you buy for a million Dollars?
 Ordering Numbers (doc)

Videos 
 EduPlace: Compare Fractions, Decimals, and Percents
 YouTube: Number Sense  Compare and Order Fractions, Decimals and Percents

Explore
Learning 
 Comparing and Ordering Decimals: Use grids to model decimal numbers and compare them graphically. Then compare the numbers on a number line.
 Comparing and Ordering Fractions: Use area models to compare and order fractions. Also see a visual representation of the least common denominator of two fractions. With the visual representation of the LCD, this Gizmo can be an introduction to adding and subtracting fractions with unlike denominators.
 Comparing and Ordering Rational Numbers: Compare and order two rational numbers using an area model.
 Fraction Garden (Comparing Fractions): Plant flowers in two gardens to help develop fraction sense. The two gardens act as number lines, from 0 to 1. Use the flowers in the gardens to compare fractions and to explore equivalent fractions. Chalk marks can be drawn to divide the garden into equal sections.
 Ordering Percents, Fractions and Decimals: Compare and order numbers represented as percents, fractions, and decimals using area grids and a number line.
 Ordering Percents, Fractions and Decimals Greater Than 1: Compare and order numbers greater than 1 using area grids and a number line. Examine the numbers represented as percents, improper fractions, and decimals.
 Percents and Proportions: Find a part from the percent and whole, a percent from the part and whole, or a whole from the part and percent using a graphic model.

Websites 
 Practice: Scientific Notation
 Shodor: Fraction Four Game
 Shodor: Fractions, Decimals, and Percent Connect Four
 Study Stack: Fraction, Decimal, and Percent review activities
 Math Goodies: Notes and a few practice problems on fractions, decimals, and percents
 Math Playground: Comparing Fractions, Decimals, and Percents
 ScienceGeek: Scientific Notation
 King Kong Scientific Notation Game

VDOE Interventions 
 VDOE Algebra Readiness Curriculum Companion: Exploring Whole Numbers  (SOL 7.1bd) The lessons focus on solving problems that use whole number operations, prime and
composite numbers, odd and even numbers, perfect squares and square roots. (pdf)
 VDOE Algebra Readiness Curriculum Companion: Comparing and Ordering  (SOL 7.1c) The lessons focus on comparing and ordering fractions, decimals, percents and numbers
written in scientific notation. (pdf)
 VDOE Algebra Readiness Curriculum Companion: Working With Percents  (SOL 7.1c) The lessons in this section focus on relating percents to decimals and fractions, comparing and ordering,
solving multistep practical problems and determining the percent of increase or decrease for a give situation. (pdf)

Common Core
Standards 
6.NS.7b 
6.NS.7d 
8.EE.1 
8.EE.2 
8.EE.3 
8.EE.4 

